Details

analyze16.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
0%	0%	25%	75%	0%	0%	0%	1
0%	0%	12.5%	75%	0%	0%	12.5%	2
0%	0%	6.3%	75%	0%	0%	18.8%	3
0%	0%	3.1%	75%	0%	0%	21.9%	4
0%	0%	1.6%	75%	0%	0%	23.5%	5
0%	0%	0.8%	75%	0%	0%	24.2%	6
0%	0%	0.8%	75%	0%	0%	24.2%	7
25%	0.2%	0.6%	75%	0%	0%	24.2%	8
25%	0.2%	0.6%	75%	0%	0%	24.2%	9
57.1%	0.2%	0.1%	75%	0.4%	0%	24.2%	10
66.7%	0.2%	0.1%	75%	0.5%	0%	24.3%	11
80%	0.2%	0%	75%	0.5%	0%	24.3%	12

Compiler

Compiled 98 to 86 computations (12.2% saved)

sample3.9s (16.6%)

Results

3.2s	8256×	body	256	valid
584.0ms	1523×	body	256	infinite
119.0ms	162×	body	256	unsamplable

Bogosity

preprocess40.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

1698×	`associate-*r/`
1436×	`times-frac`
1426×	`associate-*l/`
816×	`*-commutative`
574×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	219
1	148	201
2	462	197
3	2676	197
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs

(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))

Outputs
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (-.f64 z 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 z -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 z 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 z -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 z -7)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))

Compiler

Compiled 96 to 85 computations (11.5% saved)

simplify43.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1698×	`associate-*r/`
1436×	`times-frac`
1426×	`associate-*l/`
816×	`*-commutative`
574×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	59	219
1	148	201
2	462	197
3	2676	197

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

Inputs

(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))

Outputs
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (-.f64 z 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 z -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 z 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 z -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 z -7)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))

eval6.0ms (0%)

Compiler: Compiled 363 to 304 computations (16.3% saved)

prune16.0ms (0.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Kept	Total
New	5	5
Fresh	1	1
Picked	0	0
Done	0	0
Total	6	6

Error

1.9b

Counts

6 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.7b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
▶	2.7b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (-.f64 z 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 z -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 z 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 z -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 z -7)))))
▶	2.6b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
▶	2.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
▶	2.6b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))

Compiler

Compiled 734 to 624 computations (15% saved)

localize174.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
✓	0.9b	(+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))
✓	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.0b	(exp.f64 (-.f64 -13/2 z))

Compiler

Compiled 447 to 362 computations (19% saved)

series7.0ms (0%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
2.0ms	z	@	-inf	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
1.0ms	z	@	inf	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
0.0ms	z	@	0	(exp.f64 (-.f64 -13/2 z))
0.0ms	z	@	inf	(+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))

rewrite96.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1450×	`add-sqr-sqrt`
1376×	`add-exp-log`
1374×	`add-cbrt-cube`
1374×	`add-cube-cbrt`
1362×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	228
1	1412	228

Stop Event

1×	node limit

Counts

4 → 38

Calls

Call 1

Inputs
(exp.f64 (-.f64 -13/2 z))
(sqrt.f64 (*.f64 (PI.f64) 2))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x .f64 1 (exp.f64 (-.f64 -13/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (exp.f64 (-.f64 -13/2 z))) (sqrt.f64 (exp.f64 (-.f64 -13/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (exp.f64 (-.f64 -13/2 z))) (cbrt.f64 (exp.f64 (-.f64 -13/2 z)))) (cbrt.f64 (exp.f64 (-.f64 -13/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 -13/2) (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 -13/2 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 -13/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 (exp.f64 (-.f64 -13/2 z)) (exp.f64 (-.f64 -13/2 z))) (exp.f64 (-.f64 -13/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 -13/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 -13/2 z))))))))
((#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (PI.f64) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 (PI.f64) 2) (sqrt.f64 (.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (.f64 (PI.f64) 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 z) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 3)) (+.f64 (.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (-.f64 (.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 6765203681218851/10000000000000 (+.f64 z 1)) (.f64 z -3147848041806007/2500000000000)) (.f64 z (+.f64 z 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))))))

simplify89.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1340×	`associate-*r/`
1302×	`associate-/r*`
1204×	`associate-/l*`
1052×	`associate-*l/`
1038×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	289	4998
1	867	4244
2	3552	4244

Stop Event

1×	node limit

Counts

74 → 139

Calls

Call 1

Inputs
(exp.f64 -13/2)
(+.f64 (.f64 -1 (.f64 z (exp.f64 -13/2))) (exp.f64 -13/2))
(+.f64 (.f64 1/2 (.f64 (pow.f64 z 2) (exp.f64 -13/2))) (+.f64 (.f64 -1 (.f64 z (exp.f64 -13/2))) (exp.f64 -13/2)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 z 3) (exp.f64 -13/2))) (+.f64 (.f64 1/2 (.f64 (pow.f64 z 2) (exp.f64 -13/2))) (+.f64 (.f64 -1 (.f64 z (exp.f64 -13/2))) (exp.f64 -13/2))))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 3147848041806007/2500000000000)
(-.f64 (+.f64 (.f64 3147848041806007/2500000000000 z) (.f64 6765203681218851/10000000000000 (/.f64 1 z))) 3147848041806007/2500000000000)
(-.f64 (+.f64 (.f64 3147848041806007/2500000000000 z) (+.f64 (.f64 -3147848041806007/2500000000000 (pow.f64 z 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 3147848041806007/2500000000000)
(/.f64 -5826188486005177/10000000000000 z)
(-.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(-.f64 (+.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 4)))) (+.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(/.f64 -5826188486005177/10000000000000 z)
(-.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(-.f64 (+.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 4)))) (+.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(.f64 6765203681218851/10000000000000 (/.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) z))
(+.f64 (.f64 -487331279103252896793517613/525000000000000000000000 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 6765203681218851/10000000000000 (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))))) (.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) z))))
(+.f64 (.f64 -487331279103252896793517613/525000000000000000000000 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 6765203681218851/10000000000000 (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))))) (+.f64 (.f64 6765203681218851/10000000000000 (/.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) z)) (.f64 z (+.f64 (.f64 6765203681218851/10000000000000 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))))))) (+.f64 (.f64 373870182501661212981625127/344531250000000000000000 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -487331279103252896793517613/525000000000000000000000 (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))))))))
(+.f64 (.f64 -487331279103252896793517613/525000000000000000000000 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 (pow.f64 z 2) (+.f64 (.f64 -541338218559767156914609007209/463050000000000000000000000 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 373870182501661212981625127/344531250000000000000000 (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))))) (+.f64 (.f64 6765203681218851/10000000000000 (+.f64 (.f64 1/2 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))))) (.f64 -487331279103252896793517613/525000000000000000000000 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))))))))))) (+.f64 (.f64 6765203681218851/10000000000000 (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))))) (+.f64 (.f64 6765203681218851/10000000000000 (/.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) z)) (.f64 z (+.f64 (.f64 6765203681218851/10000000000000 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))))))) (+.f64 (.f64 373870182501661212981625127/344531250000000000000000 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -487331279103252896793517613/525000000000000000000000 (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))))))))))))
(.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z)))))
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(.f64 9999999999998099/10000000000000000 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2))))
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(+.f64 (.f64 611458333333720910362579/25000000000000000000000 (/.f64 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2))) z)) (+.f64 (.f64 4925021701373474946951247/25000000000000000000000 (/.f64 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2))) (pow.f64 z 2))) (.f64 9999999999998099/10000000000000000 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2))))))
(+.f64 (.f64 611458333333720910362579/25000000000000000000000 (/.f64 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2))) z)) (+.f64 (.f64 4925021701373474946951247/25000000000000000000000 (/.f64 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2))) (pow.f64 z 2))) (+.f64 (.f64 10831820445529922198405471/25000000000000000000000 (/.f64 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2))) (pow.f64 z 3))) (.f64 9999999999998099/10000000000000000 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2)))))))
(*.f64 1 (exp.f64 (-.f64 -13/2 z)))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 -13/2 z))) (sqrt.f64 (exp.f64 (-.f64 -13/2 z))))
(.f64 (.f64 (cbrt.f64 (exp.f64 (-.f64 -13/2 z))) (cbrt.f64 (exp.f64 (-.f64 -13/2 z)))) (cbrt.f64 (exp.f64 (-.f64 -13/2 z))))
(/.f64 (exp.f64 -13/2) (exp.f64 z))
(pow.f64 (exp.f64 (-.f64 -13/2 z)) 1)
(log.f64 (exp.f64 (exp.f64 (-.f64 -13/2 z))))
(cbrt.f64 (.f64 (.f64 (exp.f64 (-.f64 -13/2 z)) (exp.f64 (-.f64 -13/2 z))) (exp.f64 (-.f64 -13/2 z))))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 -13/2 z))))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 -13/2 z))))
(.f64 1 (sqrt.f64 (.f64 (PI.f64) 2)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(pow.f64 (*.f64 (PI.f64) 2) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1)
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(cbrt.f64 (.f64 (.f64 (PI.f64) 2) (sqrt.f64 (*.f64 (PI.f64) 2))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(/.f64 (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(/.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 z) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 3)) (+.f64 (.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (-.f64 (.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (*.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))
(/.f64 (+.f64 (.f64 6765203681218851/10000000000000 (+.f64 z 1)) (.f64 z -3147848041806007/2500000000000)) (*.f64 z (+.f64 z 1)))
(pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(cbrt.f64 (.f64 (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(exp.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(pow.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 1)
(log.f64 (exp.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))
(cbrt.f64 (.f64 (.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))
(exp.f64 (log.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))

Outputs
(exp.f64 -13/2)
(+.f64 (.f64 -1 (.f64 z (exp.f64 -13/2))) (exp.f64 -13/2))
(fma.f64 -1 (*.f64 (exp.f64 -13/2) z) (exp.f64 -13/2))
(-.f64 (exp.f64 -13/2) (*.f64 (exp.f64 -13/2) z))
(+.f64 (.f64 1/2 (.f64 (pow.f64 z 2) (exp.f64 -13/2))) (+.f64 (.f64 -1 (.f64 z (exp.f64 -13/2))) (exp.f64 -13/2)))
(fma.f64 1/2 (.f64 (exp.f64 -13/2) (.f64 z z)) (fma.f64 -1 (*.f64 (exp.f64 -13/2) z) (exp.f64 -13/2)))
(+.f64 (exp.f64 -13/2) (.f64 (exp.f64 -13/2) (+.f64 (.f64 (*.f64 1/2 z) z) (neg.f64 z))))
(+.f64 (exp.f64 -13/2) (.f64 (exp.f64 -13/2) (+.f64 (neg.f64 z) (.f64 (*.f64 1/2 z) z))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 z 3) (exp.f64 -13/2))) (+.f64 (.f64 1/2 (.f64 (pow.f64 z 2) (exp.f64 -13/2))) (+.f64 (.f64 -1 (.f64 z (exp.f64 -13/2))) (exp.f64 -13/2))))
(fma.f64 -1/6 (.f64 (exp.f64 -13/2) (pow.f64 z 3)) (fma.f64 1/2 (.f64 (exp.f64 -13/2) (.f64 z z)) (fma.f64 -1 (.f64 (exp.f64 -13/2) z) (exp.f64 -13/2))))
(fma.f64 -1/6 (.f64 (exp.f64 -13/2) (pow.f64 z 3)) (+.f64 (exp.f64 -13/2) (.f64 (exp.f64 -13/2) (+.f64 (.f64 (.f64 1/2 z) z) (neg.f64 z)))))
(fma.f64 -1/6 (.f64 (exp.f64 -13/2) (pow.f64 z 3)) (+.f64 (exp.f64 -13/2) (.f64 (exp.f64 -13/2) (+.f64 (neg.f64 z) (.f64 (.f64 1/2 z) z)))))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (-.f64 -13/2 z))
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 3147848041806007/2500000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) -3147848041806007/2500000000000)
(-.f64 (+.f64 (.f64 3147848041806007/2500000000000 z) (.f64 6765203681218851/10000000000000 (/.f64 1 z))) 3147848041806007/2500000000000)
(+.f64 (fma.f64 3147848041806007/2500000000000 z (/.f64 6765203681218851/10000000000000 z)) -3147848041806007/2500000000000)
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(.f64 (.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
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(.f64 (.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(exp.f64 (log.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))
(.f64 (.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
(.f64 (.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
(.f64 (.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))
(.f64 (.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
(.f64 (.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
(.f64 (.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))

localize178.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.0b	(exp.f64 (+.f64 z 13/2))
✓	1.5b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))

Compiler

Compiled 413 to 334 computations (19.1% saved)

series7.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	z	@	-inf	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))
1.0ms	z	@	0	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))
0.0ms	z	@	inf	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))
0.0ms	z	@	0	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
0.0ms	z	@	inf	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))

rewrite96.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1292×	`add-sqr-sqrt`
1232×	`add-exp-log`
1232×	`add-log-exp`
1230×	`add-cbrt-cube`
1230×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	185
1	1258	185

Stop Event

1×	node limit

Counts

3 → 30

Calls

Call 1

Inputs
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
(exp.f64 (+.f64 z 13/2))
(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))

Inputs

(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))

(exp.f64 (+.f64 z 13/2))

(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 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(+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) 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((#(struct:change #<rule egg-rr> (2) ((x .f64 1 (exp.f64 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (exp.f64 (+.f64 z 13/2))) (sqrt.f64 (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) (cbrt.f64 (exp.f64 (+.f64 z 13/2)))) (cbrt.f64 (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 z) (exp.f64 13/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 z 13/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (*.f64 (exp.f64 (+.f64 z 13/2)) (exp.f64 (+.f64 z 13/2))) (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (+.f64 z 13/2))))))))
((#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 1 (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (sqrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (*.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (+.f64 z 13/2))) (sqrt.f64 (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) (cbrt.f64 (exp.f64 (+.f64 z 13/2)))) (cbrt.f64 (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 z) (exp.f64 13/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 z 13/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z 13/2)) (exp.f64 (+.f64 z 13/2))) (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (+.f64 z 13/2))))))))

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 1 (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (sqrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))))

simplify81.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1502×	`associate-/l*`
1252×	`associate-+r+`
818×	`+-commutative`
776×	`associate--r+`
734×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	214	4570
1	550	4152
2	2460	4122

Stop Event

1×	node limit

Counts

66 → 99

Calls

Call 1

Inputs
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 487331279103252896793517613/525000000000000000000000)
(-.f64 (+.f64 (.f64 6765203681218851/10000000000000 (/.f64 1 z)) (.f64 373870182501661212981625127/344531250000000000000000 z)) 487331279103252896793517613/525000000000000000000000)
(-.f64 (+.f64 (.f64 -541338218559767156914609007209/463050000000000000000000000 (pow.f64 z 2)) (+.f64 (.f64 6765203681218851/10000000000000 (/.f64 1 z)) (*.f64 373870182501661212981625127/344531250000000000000000 z))) 487331279103252896793517613/525000000000000000000000)
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)) (.f64 4925021701373474946951247/25000000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 (.f64 10831820445529922198405471/25000000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)) (*.f64 4925021701373474946951247/25000000000000000000000 (/.f64 1 (pow.f64 z 2))))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)) (.f64 4925021701373474946951247/25000000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 (.f64 10831820445529922198405471/25000000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)) (*.f64 4925021701373474946951247/25000000000000000000000 (/.f64 1 (pow.f64 z 2))))))
(exp.f64 13/2)
(+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z))
(+.f64 (.f64 1/2 (.f64 (exp.f64 13/2) (pow.f64 z 2))) (+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z)))
(+.f64 (.f64 1/2 (.f64 (exp.f64 13/2) (pow.f64 z 2))) (+.f64 (exp.f64 13/2) (+.f64 (.f64 1/6 (.f64 (exp.f64 13/2) (pow.f64 z 3))) (*.f64 (exp.f64 13/2) z))))
(exp.f64 (+.f64 13/2 z))
(exp.f64 (+.f64 13/2 z))
(exp.f64 (+.f64 13/2 z))
(exp.f64 (+.f64 13/2 z))
(exp.f64 (-.f64 13/2 (*.f64 -1 z)))
(exp.f64 (-.f64 13/2 (*.f64 -1 z)))
(exp.f64 (-.f64 13/2 (*.f64 -1 z)))
(exp.f64 (-.f64 13/2 (*.f64 -1 z)))
(/.f64 (sqrt.f64 2/13) (exp.f64 13/2))
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (.f64 (-.f64 (/.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z))
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)))) (pow.f64 z 2)) (.f64 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z)))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (/.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (.f64 (-.f64 (+.f64 (.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (sqrt.f64 2/13)) (exp.f64 13/2)))) (+.f64 (.f64 1/2 (-.f64 (/.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) (+.f64 (/.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 13/2)) (+.f64 (.f64 1/6 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))) (pow.f64 z 3)) (+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)))) (pow.f64 z 2)) (.f64 (-.f64 (/.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z))))
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z)))
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z)))
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z)))
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z)))
(/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 13/2 (*.f64 -1 z))))
(/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 13/2 (*.f64 -1 z))))
(/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 13/2 (*.f64 -1 z))))
(/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 13/2 (*.f64 -1 z))))
(*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))
(.f64 (.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))
(/.f64 (-.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) 3)) (+.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (-.f64 (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))))
(pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 1)
(log.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))
(cbrt.f64 (.f64 (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))
(exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))
(*.f64 1 (exp.f64 (+.f64 z 13/2)))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 z 13/2))) (sqrt.f64 (exp.f64 (+.f64 z 13/2))))
(.f64 (.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) (cbrt.f64 (exp.f64 (+.f64 z 13/2)))) (cbrt.f64 (exp.f64 (+.f64 z 13/2))))
(*.f64 (exp.f64 z) (exp.f64 13/2))
(pow.f64 (exp.f64 (+.f64 z 13/2)) 1)
(log.f64 (exp.f64 (exp.f64 (+.f64 z 13/2))))
(cbrt.f64 (.f64 (.f64 (exp.f64 (+.f64 z 13/2)) (exp.f64 (+.f64 z 13/2))) (exp.f64 (+.f64 z 13/2))))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2))))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 z 13/2))))
(*.f64 1 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 1 (exp.f64 (+.f64 z 13/2))))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (sqrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(pow.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 1)
(log.f64 (exp.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(cbrt.f64 (.f64 (.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))

Outputs
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 487331279103252896793517613/525000000000000000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) -487331279103252896793517613/525000000000000000000000)
(-.f64 (+.f64 (.f64 6765203681218851/10000000000000 (/.f64 1 z)) (.f64 373870182501661212981625127/344531250000000000000000 z)) 487331279103252896793517613/525000000000000000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (*.f64 z 373870182501661212981625127/344531250000000000000000) 487331279103252896793517613/525000000000000000000000))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z 373870182501661212981625127/344531250000000000000000 -487331279103252896793517613/525000000000000000000000))
(-.f64 (+.f64 (.f64 -541338218559767156914609007209/463050000000000000000000000 (pow.f64 z 2)) (+.f64 (.f64 6765203681218851/10000000000000 (/.f64 1 z)) (*.f64 373870182501661212981625127/344531250000000000000000 z))) 487331279103252896793517613/525000000000000000000000)
(+.f64 (fma.f64 -541338218559767156914609007209/463050000000000000000000000 (.f64 z z) (+.f64 (/.f64 6765203681218851/10000000000000 z) (.f64 z 373870182501661212981625127/344531250000000000000000))) -487331279103252896793517613/525000000000000000000000)
(+.f64 (fma.f64 -541338218559767156914609007209/463050000000000000000000000 (*.f64 z z) (/.f64 6765203681218851/10000000000000 z)) (fma.f64 z 373870182501661212981625127/344531250000000000000000 -487331279103252896793517613/525000000000000000000000))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z))
(+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)) (.f64 4925021701373474946951247/25000000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 611458333333720910362579/25000000000000000000000 z) (/.f64 4925021701373474946951247/25000000000000000000000 (*.f64 z z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 611458333333720910362579/25000000000000000000000 z) (/.f64 (/.f64 4925021701373474946951247/25000000000000000000000 z) z)))
(+.f64 (.f64 10831820445529922198405471/25000000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)) (*.f64 4925021701373474946951247/25000000000000000000000 (/.f64 1 (pow.f64 z 2))))))
(+.f64 (+.f64 (/.f64 10831820445529922198405471/25000000000000000000000 (pow.f64 z 3)) 9999999999998099/10000000000000000) (+.f64 (/.f64 611458333333720910362579/25000000000000000000000 z) (/.f64 4925021701373474946951247/25000000000000000000000 (*.f64 z z))))
(+.f64 (+.f64 (/.f64 611458333333720910362579/25000000000000000000000 z) (/.f64 4925021701373474946951247/25000000000000000000000 (*.f64 z z))) (+.f64 9999999999998099/10000000000000000 (/.f64 10831820445529922198405471/25000000000000000000000 (pow.f64 z 3))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 611458333333720910362579/25000000000000000000000 z) (/.f64 (/.f64 4925021701373474946951247/25000000000000000000000 z) z)) (/.f64 10831820445529922198405471/25000000000000000000000 (pow.f64 z 3))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z))
(+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)) (.f64 4925021701373474946951247/25000000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 611458333333720910362579/25000000000000000000000 z) (/.f64 4925021701373474946951247/25000000000000000000000 (*.f64 z z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 611458333333720910362579/25000000000000000000000 z) (/.f64 (/.f64 4925021701373474946951247/25000000000000000000000 z) z)))
(+.f64 (.f64 10831820445529922198405471/25000000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)) (*.f64 4925021701373474946951247/25000000000000000000000 (/.f64 1 (pow.f64 z 2))))))
(+.f64 (+.f64 (/.f64 10831820445529922198405471/25000000000000000000000 (pow.f64 z 3)) 9999999999998099/10000000000000000) (+.f64 (/.f64 611458333333720910362579/25000000000000000000000 z) (/.f64 4925021701373474946951247/25000000000000000000000 (*.f64 z z))))
(+.f64 (+.f64 (/.f64 611458333333720910362579/25000000000000000000000 z) (/.f64 4925021701373474946951247/25000000000000000000000 (*.f64 z z))) (+.f64 9999999999998099/10000000000000000 (/.f64 10831820445529922198405471/25000000000000000000000 (pow.f64 z 3))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 611458333333720910362579/25000000000000000000000 z) (/.f64 (/.f64 4925021701373474946951247/25000000000000000000000 z) z)) (/.f64 10831820445529922198405471/25000000000000000000000 (pow.f64 z 3))))
(exp.f64 13/2)
(+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z))
(+.f64 (exp.f64 13/2) (*.f64 z (exp.f64 13/2)))
(*.f64 (+.f64 z 1) (exp.f64 13/2))
(*.f64 (exp.f64 13/2) (+.f64 z 1))
(+.f64 (.f64 1/2 (.f64 (exp.f64 13/2) (pow.f64 z 2))) (+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z)))
(fma.f64 1/2 (.f64 (.f64 z z) (exp.f64 13/2)) (+.f64 (exp.f64 13/2) (*.f64 z (exp.f64 13/2))))
(fma.f64 1/2 (.f64 (.f64 z z) (exp.f64 13/2)) (*.f64 (+.f64 z 1) (exp.f64 13/2)))
(.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (.f64 (*.f64 z z) 1/2)))
(+.f64 (.f64 1/2 (.f64 (exp.f64 13/2) (pow.f64 z 2))) (+.f64 (exp.f64 13/2) (+.f64 (.f64 1/6 (.f64 (exp.f64 13/2) (pow.f64 z 3))) (*.f64 (exp.f64 13/2) z))))
(fma.f64 1/2 (.f64 (.f64 z z) (exp.f64 13/2)) (+.f64 (exp.f64 13/2) (fma.f64 1/6 (.f64 (pow.f64 z 3) (exp.f64 13/2)) (.f64 z (exp.f64 13/2)))))
(+.f64 (fma.f64 1/2 (.f64 (.f64 z z) (exp.f64 13/2)) (.f64 (+.f64 z 1) (exp.f64 13/2))) (.f64 (pow.f64 z 3) (*.f64 (exp.f64 13/2) 1/6)))
(fma.f64 1/2 (.f64 (.f64 z z) (exp.f64 13/2)) (.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (.f64 (pow.f64 z 3) 1/6))))
(exp.f64 (+.f64 13/2 z))
(exp.f64 (+.f64 z 13/2))
(exp.f64 (+.f64 13/2 z))
(exp.f64 (+.f64 z 13/2))
(exp.f64 (+.f64 13/2 z))
(exp.f64 (+.f64 z 13/2))
(exp.f64 (+.f64 13/2 z))
(exp.f64 (+.f64 z 13/2))
(exp.f64 (-.f64 13/2 (*.f64 -1 z)))
(exp.f64 (+.f64 z 13/2))
(exp.f64 (-.f64 13/2 (*.f64 -1 z)))
(exp.f64 (+.f64 z 13/2))
(exp.f64 (-.f64 13/2 (*.f64 -1 z)))
(exp.f64 (+.f64 z 13/2))
(exp.f64 (-.f64 13/2 (*.f64 -1 z)))
(exp.f64 (+.f64 z 13/2))
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(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))

localize166.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.9b	(+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.0b	(exp.f64 (neg.f64 (+.f64 z 13/2)))
✓	1.9b	(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))

Compiler

Compiled 405 to 327 computations (19.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
0.0ms	z	@	inf	(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
0.0ms	z	@	-inf	(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
0.0ms	z	@	0	(exp.f64 (neg.f64 (+.f64 z 13/2)))
0.0ms	z	@	-inf	(exp.f64 (neg.f64 (+.f64 z 13/2)))

rewrite99.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

624×	`add-sqr-sqrt`
592×	`add-exp-log`
592×	`add-log-exp`
590×	`add-cbrt-cube`
590×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	76
1	609	72

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

Inputs

(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))

(exp.f64 (neg.f64 (+.f64 z 13/2)))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 -13/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 -13/2 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (-.f64 -13/2 z))) (sqrt.f64 (exp.f64 (-.f64 -13/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (-.f64 -13/2 z))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 2)) (cbrt.f64 (exp.f64 (-.f64 -13/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 1/2) (pow.f64 (exp.f64 (-.f64 -13/2 z)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (exp.f64 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 (+.f64 z 13/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 -13/2 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 -13/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (exp.f64 (-.f64 -13/2 z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 -13/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 -13/2 z))))))))

simplify127.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1186×	`associate-*r/`
1082×	`associate-*l/`
766×	`associate-/r*`
630×	`distribute-lft-in`
614×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	315	8833
1	1021	8539
2	4012	8455

Stop Event

1×	node limit

Counts

83 → 145

Calls

Call 1

Inputs
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 18646983574419129/20000000000000)
(-.f64 (+.f64 (.f64 130311870198853951/120000000000000 z) (.f64 6765203681218851/10000000000000 (/.f64 1 z))) 18646983574419129/20000000000000)
(-.f64 (+.f64 (.f64 130311870198853951/120000000000000 z) (+.f64 (.f64 -841870861561131653/720000000000000 (pow.f64 z 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 18646983574419129/20000000000000)
(/.f64 30223877537487/2500000000000 z)
(+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (.f64 30223877537487/2500000000000 (/.f64 1 z)))
(+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 30223877537487/2500000000000 (/.f64 1 z)) (*.f64 1183096179644721/5000000000000 (/.f64 1 (pow.f64 z 3)))))
(-.f64 (+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 30223877537487/2500000000000 (/.f64 1 z)) (.f64 1183096179644721/5000000000000 (/.f64 1 (pow.f64 z 3))))) (.f64 714212130605129/5000000000000 (/.f64 1 (pow.f64 z 4))))
(/.f64 30223877537487/2500000000000 z)
(+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (.f64 30223877537487/2500000000000 (/.f64 1 z)))
(+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 30223877537487/2500000000000 (/.f64 1 z)) (*.f64 1183096179644721/5000000000000 (/.f64 1 (pow.f64 z 3)))))
(-.f64 (+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 30223877537487/2500000000000 (/.f64 1 z)) (.f64 1183096179644721/5000000000000 (/.f64 1 (pow.f64 z 3))))) (.f64 714212130605129/5000000000000 (/.f64 1 (pow.f64 z 4))))
(exp.f64 -13/2)
(+.f64 (.f64 -1 (.f64 z (exp.f64 -13/2))) (exp.f64 -13/2))
(+.f64 (.f64 1/2 (.f64 (pow.f64 z 2) (exp.f64 -13/2))) (+.f64 (.f64 -1 (.f64 z (exp.f64 -13/2))) (exp.f64 -13/2)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 z 3) (exp.f64 -13/2))) (+.f64 (.f64 1/2 (.f64 (pow.f64 z 2) (exp.f64 -13/2))) (+.f64 (.f64 -1 (.f64 z (exp.f64 -13/2))) (exp.f64 -13/2))))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 2) (-.f64 (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (/.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 2) (-.f64 (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))
(*.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))
(*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 1)
(*.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2)) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))
(*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 2) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 2)) (/.f64 1 (-.f64 (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))
(.f64 (+.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 3) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 2) (.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (-.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))))
(*.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 1/2) (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 1/2))
(/.f64 1 (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 2) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 2) (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (-.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (+.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 3) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 3))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 2) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 2)) (-.f64 (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 3) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 2) (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (-.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 3) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 2) (-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 2) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))))
(/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (-.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 2) (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 2)) (-.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(/.f64 (-.f64 (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (+.f64 z 3) 2))) (-.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(/.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 z) 3) (pow.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 3)) (+.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (-.f64 (.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (*.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))
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(log.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))
(cbrt.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))
(exp.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))
(*.f64 1 (exp.f64 (-.f64 -13/2 z)))
(*.f64 (exp.f64 (-.f64 -13/2 z)) 1)
(*.f64 (sqrt.f64 (exp.f64 (-.f64 -13/2 z))) (sqrt.f64 (exp.f64 (-.f64 -13/2 z))))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 -13/2 z))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 2)) (cbrt.f64 (exp.f64 (-.f64 -13/2 z))))
(*.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 1/2) (pow.f64 (exp.f64 (-.f64 -13/2 z)) 1/2))
(/.f64 1 (exp.f64 (+.f64 z 13/2)))
(/.f64 1 (/.f64 (exp.f64 (+.f64 z 13/2)) 1))
(/.f64 -1 (neg.f64 (exp.f64 (+.f64 z 13/2))))
(pow.f64 (exp.f64 (-.f64 -13/2 z)) 1)
(log.f64 (exp.f64 (exp.f64 (-.f64 -13/2 z))))
(cbrt.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (exp.f64 (-.f64 -13/2 z)) 2)))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 -13/2 z))))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 -13/2 z))))

Outputs
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 18646983574419129/20000000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) -18646983574419129/20000000000000)
(-.f64 (+.f64 (.f64 130311870198853951/120000000000000 z) (.f64 6765203681218851/10000000000000 (/.f64 1 z))) 18646983574419129/20000000000000)
(+.f64 (fma.f64 130311870198853951/120000000000000 z (/.f64 6765203681218851/10000000000000 z)) -18646983574419129/20000000000000)
(+.f64 (fma.f64 z 130311870198853951/120000000000000 (/.f64 6765203681218851/10000000000000 z)) -18646983574419129/20000000000000)
(-.f64 (+.f64 (.f64 130311870198853951/120000000000000 z) (+.f64 (.f64 -841870861561131653/720000000000000 (pow.f64 z 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 18646983574419129/20000000000000)
(+.f64 (fma.f64 130311870198853951/120000000000000 z (fma.f64 -841870861561131653/720000000000000 (*.f64 z z) (/.f64 6765203681218851/10000000000000 z))) -18646983574419129/20000000000000)
(+.f64 (fma.f64 z 130311870198853951/120000000000000 (fma.f64 -841870861561131653/720000000000000 (*.f64 z z) (/.f64 6765203681218851/10000000000000 z))) -18646983574419129/20000000000000)
(/.f64 30223877537487/2500000000000 z)
(+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (.f64 30223877537487/2500000000000 (/.f64 1 z)))
(+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (/.f64 30223877537487/2500000000000 z))
(+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 30223877537487/2500000000000 (/.f64 1 z)) (*.f64 1183096179644721/5000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (+.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 1183096179644721/5000000000000 (pow.f64 z 3))))
(+.f64 (/.f64 30223877537487/2500000000000 z) (+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (/.f64 1183096179644721/5000000000000 (pow.f64 z 3))))
(-.f64 (+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 30223877537487/2500000000000 (/.f64 1 z)) (.f64 1183096179644721/5000000000000 (/.f64 1 (pow.f64 z 3))))) (.f64 714212130605129/5000000000000 (/.f64 1 (pow.f64 z 4))))
(+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (-.f64 (+.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 1183096179644721/5000000000000 (pow.f64 z 3))) (/.f64 714212130605129/5000000000000 (pow.f64 z 4))))
(+.f64 (+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (/.f64 30223877537487/2500000000000 z)) (+.f64 (/.f64 1183096179644721/5000000000000 (pow.f64 z 3)) (/.f64 -714212130605129/5000000000000 (pow.f64 z 4))))
(/.f64 30223877537487/2500000000000 z)
(+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (.f64 30223877537487/2500000000000 (/.f64 1 z)))
(+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (/.f64 30223877537487/2500000000000 z))
(+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 30223877537487/2500000000000 (/.f64 1 z)) (*.f64 1183096179644721/5000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (+.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 1183096179644721/5000000000000 (pow.f64 z 3))))
(+.f64 (/.f64 30223877537487/2500000000000 z) (+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (/.f64 1183096179644721/5000000000000 (pow.f64 z 3))))
(-.f64 (+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 30223877537487/2500000000000 (/.f64 1 z)) (.f64 1183096179644721/5000000000000 (/.f64 1 (pow.f64 z 3))))) (.f64 714212130605129/5000000000000 (/.f64 1 (pow.f64 z 4))))
(+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (-.f64 (+.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 1183096179644721/5000000000000 (pow.f64 z 3))) (/.f64 714212130605129/5000000000000 (pow.f64 z 4))))
(+.f64 (+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (/.f64 30223877537487/2500000000000 z)) (+.f64 (/.f64 1183096179644721/5000000000000 (pow.f64 z 3)) (/.f64 -714212130605129/5000000000000 (pow.f64 z 4))))
(exp.f64 -13/2)
(+.f64 (.f64 -1 (.f64 z (exp.f64 -13/2))) (exp.f64 -13/2))
(fma.f64 -1 (*.f64 z (exp.f64 -13/2)) (exp.f64 -13/2))
(-.f64 (exp.f64 -13/2) (*.f64 z (exp.f64 -13/2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 z 2) (exp.f64 -13/2))) (+.f64 (.f64 -1 (.f64 z (exp.f64 -13/2))) (exp.f64 -13/2)))
(fma.f64 1/2 (.f64 (exp.f64 -13/2) (.f64 z z)) (fma.f64 -1 (*.f64 z (exp.f64 -13/2)) (exp.f64 -13/2)))
(+.f64 (exp.f64 -13/2) (.f64 (exp.f64 -13/2) (+.f64 (.f64 1/2 (*.f64 z z)) (neg.f64 z))))
(+.f64 (exp.f64 -13/2) (.f64 (exp.f64 -13/2) (.f64 z (+.f64 (*.f64 1/2 z) -1))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 z 3) (exp.f64 -13/2))) (+.f64 (.f64 1/2 (.f64 (pow.f64 z 2) (exp.f64 -13/2))) (+.f64 (.f64 -1 (.f64 z (exp.f64 -13/2))) (exp.f64 -13/2))))
(fma.f64 -1/6 (.f64 (pow.f64 z 3) (exp.f64 -13/2)) (fma.f64 1/2 (.f64 (exp.f64 -13/2) (.f64 z z)) (fma.f64 -1 (.f64 z (exp.f64 -13/2)) (exp.f64 -13/2))))
(+.f64 (-.f64 (exp.f64 -13/2) (.f64 z (exp.f64 -13/2))) (.f64 (exp.f64 -13/2) (+.f64 (.f64 (pow.f64 z 3) -1/6) (.f64 1/2 (*.f64 z z)))))
(+.f64 (.f64 (exp.f64 -13/2) (+.f64 (.f64 (.f64 z z) (+.f64 (.f64 -1/6 z) 1/2)) (neg.f64 z))) (exp.f64 -13/2))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (-.f64 -13/2 z))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 2) (-.f64 (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (/.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 2) (-.f64 (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 2) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 2)) (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 2) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 2)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 883075145810703/5000000000000 (+.f64 z 3))) (/.f64 -7713234287776531/10000000000000 (+.f64 z 2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 2) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 2)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))
(*.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))
(*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 1)
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) 2)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2)))
(*.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))) (cbrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2)) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) 2)))
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(exp.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))
(*.f64 1 (exp.f64 (-.f64 -13/2 z)))
(exp.f64 (-.f64 -13/2 z))
(*.f64 (exp.f64 (-.f64 -13/2 z)) 1)
(exp.f64 (-.f64 -13/2 z))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 -13/2 z))) (sqrt.f64 (exp.f64 (-.f64 -13/2 z))))
(exp.f64 (-.f64 -13/2 z))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 -13/2 z))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 2)))
(.f64 (cbrt.f64 (exp.f64 (-.f64 -13/2 z))) (cbrt.f64 (exp.f64 (.f64 2 (-.f64 -13/2 z)))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 2)) (cbrt.f64 (exp.f64 (-.f64 -13/2 z))))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 -13/2 z))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 2)))
(.f64 (cbrt.f64 (exp.f64 (-.f64 -13/2 z))) (cbrt.f64 (exp.f64 (.f64 2 (-.f64 -13/2 z)))))
(*.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 1/2) (pow.f64 (exp.f64 (-.f64 -13/2 z)) 1/2))
(exp.f64 (-.f64 -13/2 z))
(/.f64 1 (exp.f64 (+.f64 z 13/2)))
(exp.f64 (-.f64 -13/2 z))
(/.f64 1 (/.f64 (exp.f64 (+.f64 z 13/2)) 1))
(exp.f64 (-.f64 -13/2 z))
(/.f64 -1 (neg.f64 (exp.f64 (+.f64 z 13/2))))
(exp.f64 (-.f64 -13/2 z))
(pow.f64 (exp.f64 (-.f64 -13/2 z)) 1)
(exp.f64 (-.f64 -13/2 z))
(log.f64 (exp.f64 (exp.f64 (-.f64 -13/2 z))))
(exp.f64 (-.f64 -13/2 z))
(cbrt.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (exp.f64 (-.f64 -13/2 z)) 2)))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 -13/2 z))))
(exp.f64 (-.f64 -13/2 z))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 -13/2 z))))
(exp.f64 (-.f64 -13/2 z))

localize163.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 z 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.0b	(exp.f64 (+.f64 (neg.f64 (-.f64 z -6)) -1/2))
✓	1.2b	(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 z 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3))))

Compiler

Compiled 404 to 331 computations (18.1% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 z 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3))))
0.0ms	z	@	inf	(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 z 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3))))
0.0ms	z	@	-inf	(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 z 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3))))
0.0ms	z	@	0	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 z 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))
0.0ms	z	@	0	(exp.f64 (+.f64 (neg.f64 (-.f64 z -6)) -1/2))

rewrite76.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

752×	`add-sqr-sqrt`
714×	`add-exp-log`
714×	`add-cbrt-cube`
714×	`add-cube-cbrt`
712×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	119
1	767	115

Stop Event

1×	node limit

Counts

3 → 38

Calls

Call 1

Inputs

(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 z 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3))))

(exp.f64 (+.f64 (neg.f64 (-.f64 z -6)) -1/2))

(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 z 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))))) (sqrt.f64 (+.f64 (+.f64 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pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3))))) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 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((#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 -1/2 (-.f64 z -6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6)))) (sqrt.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6)))) (*.f64 (cbrt.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6)))) (cbrt.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6)))) (cbrt.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6))))) (cbrt.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -1/2) (exp.f64 (+.f64 (neg.f64 z) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (+.f64 (neg.f64 z) -6)) (exp.f64 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6))) (*.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6))) (exp.f64 (-.f64 -1/2 (-.f64 z -6))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6)))))))))

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (*.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 3)) (+.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))))

simplify92.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1326×	`fma-def`
1148×	`associate-+l-`
1110×	`associate-+r-`
1068×	`associate--r+`
736×	`associate--l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	186	2750
1	493	2594
2	2027	2404
3	5751	2398

Stop Event

1×	node limit

Counts

74 → 124

Calls

Call 1

Inputs
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 9313491787209566401/10000000000000000)
(-.f64 (+.f64 (.f64 130311870198853951/120000000000000 z) (.f64 6765203681218851/10000000000000 (/.f64 1 z))) 9313491787209566401/10000000000000000)
(-.f64 (+.f64 (.f64 130311870198853951/120000000000000 z) (+.f64 (.f64 -841870861561131653/720000000000000 (pow.f64 z 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 9313491787209566401/10000000000000000)
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 30223877537487/2500000000000 (/.f64 1 z)) (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 30223877537487/2500000000000 (/.f64 1 z)) (+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 1183096179644721/5000000000000 (/.f64 1 (pow.f64 z 3))))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 30223877537487/2500000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 30223877537487/2500000000000 (/.f64 1 z)) (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 30223877537487/2500000000000 (/.f64 1 z)) (+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 1183096179644721/5000000000000 (/.f64 1 (pow.f64 z 3))))))
(exp.f64 -13/2)
(+.f64 (.f64 -1 (.f64 z (exp.f64 -13/2))) (exp.f64 -13/2))
(+.f64 (.f64 1/2 (.f64 (pow.f64 z 2) (exp.f64 -13/2))) (+.f64 (.f64 -1 (.f64 z (exp.f64 -13/2))) (exp.f64 -13/2)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 z 3) (exp.f64 -13/2))) (+.f64 (.f64 1/2 (.f64 (pow.f64 z 2) (exp.f64 -13/2))) (+.f64 (.f64 -1 (.f64 z (exp.f64 -13/2))) (exp.f64 -13/2))))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 12581392167224029901/10000000000000000)
(-.f64 (+.f64 (.f64 3147848041806007/2500000000000 z) (.f64 6765203681218851/10000000000000 (/.f64 1 z))) 12581392167224029901/10000000000000000)
(-.f64 (+.f64 (.f64 3147848041806007/2500000000000 z) (+.f64 (.f64 -3147848041806007/2500000000000 (pow.f64 z 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 12581392167224029901/10000000000000000)
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3))))) 1)
(*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3))))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))))) (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))))))
(.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))))) (.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))))) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3))))))))
(.f64 (.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))))) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3))))))) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))))))
(/.f64 (-.f64 (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3))))) (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 3) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3))) 3)) (+.f64 (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3))) (-.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))
(pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3))))) 1)
(log.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))))))
(cbrt.f64 (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3))))) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3))))))))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))))))
(exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))))))
(*.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6))) 1)
(*.f64 1 (exp.f64 (-.f64 -1/2 (-.f64 z -6))))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6)))) (sqrt.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6)))))
(.f64 (cbrt.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6)))) (.f64 (cbrt.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6)))) (cbrt.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6))))))
(.f64 (.f64 (cbrt.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6)))) (cbrt.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6))))) (cbrt.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6)))))
(*.f64 (exp.f64 -1/2) (exp.f64 (+.f64 (neg.f64 z) -6)))
(*.f64 (exp.f64 (+.f64 (neg.f64 z) -6)) (exp.f64 -1/2))
(pow.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6))) 1)
(log.f64 (exp.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6)))))
(cbrt.f64 (.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6))) (.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6))) (exp.f64 (-.f64 -1/2 (-.f64 z -6))))))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6)))))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6)))))
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 1)
(*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))
(.f64 (.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(/.f64 (-.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 3)) (+.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))))
(pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 1)
(log.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(cbrt.f64 (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))

Outputs
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 9313491787209566401/10000000000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) -9313491787209566401/10000000000000000)
(-.f64 (+.f64 (.f64 130311870198853951/120000000000000 z) (.f64 6765203681218851/10000000000000 (/.f64 1 z))) 9313491787209566401/10000000000000000)
(+.f64 (fma.f64 130311870198853951/120000000000000 z (/.f64 6765203681218851/10000000000000 z)) -9313491787209566401/10000000000000000)
(+.f64 (fma.f64 z 130311870198853951/120000000000000 (/.f64 6765203681218851/10000000000000 z)) -9313491787209566401/10000000000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z 130311870198853951/120000000000000 -9313491787209566401/10000000000000000))
(-.f64 (+.f64 (.f64 130311870198853951/120000000000000 z) (+.f64 (.f64 -841870861561131653/720000000000000 (pow.f64 z 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 9313491787209566401/10000000000000000)
(+.f64 (fma.f64 130311870198853951/120000000000000 z (fma.f64 -841870861561131653/720000000000000 (*.f64 z z) (/.f64 6765203681218851/10000000000000 z))) -9313491787209566401/10000000000000000)
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(+.f64 (fma.f64 z 130311870198853951/120000000000000 (/.f64 6765203681218851/10000000000000 z)) (fma.f64 -841870861561131653/720000000000000 (*.f64 z z) -9313491787209566401/10000000000000000))
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(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 153960904158449/625000000000 (*.f64 z z))))
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(+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 30223877537487/2500000000000 (/.f64 1 z)) (+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 1183096179644721/5000000000000 (/.f64 1 (pow.f64 z 3))))))
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(exp.f64 -13/2)
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(fma.f64 -1 (*.f64 z (exp.f64 -13/2)) (exp.f64 -13/2))
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(fma.f64 1/2 (.f64 (.f64 z z) (exp.f64 -13/2)) (fma.f64 -1 (*.f64 z (exp.f64 -13/2)) (exp.f64 -13/2)))
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(fma.f64 (exp.f64 -13/2) (fma.f64 (*.f64 z z) 1/2 (neg.f64 z)) (exp.f64 -13/2))
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(fma.f64 -1/6 (.f64 (pow.f64 z 3) (exp.f64 -13/2)) (+.f64 (exp.f64 -13/2) (.f64 (exp.f64 -13/2) (+.f64 (.f64 (.f64 1/2 z) z) (neg.f64 z)))))
(fma.f64 (exp.f64 -13/2) (.f64 (.f64 z z) (+.f64 (.f64 z -1/6) 1/2)) (.f64 (exp.f64 -13/2) (fma.f64 z -1 1)))
(+.f64 (exp.f64 -13/2) (.f64 (exp.f64 -13/2) (-.f64 (.f64 (.f64 z z) (+.f64 (.f64 z -1/6) 1/2)) z)))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 12581392167224029901/10000000000000000)
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(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))))))
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))))))
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(*.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6))) 1)
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(*.f64 1 (exp.f64 (-.f64 -1/2 (-.f64 z -6))))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6)))) (sqrt.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6)))))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(.f64 (cbrt.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6)))) (.f64 (cbrt.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6)))) (cbrt.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6))))))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(.f64 (.f64 (cbrt.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6)))) (cbrt.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6))))) (cbrt.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6)))))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(*.f64 (exp.f64 -1/2) (exp.f64 (+.f64 (neg.f64 z) -6)))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(*.f64 (exp.f64 (+.f64 (neg.f64 z) -6)) (exp.f64 -1/2))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(pow.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6))) 1)
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(log.f64 (exp.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6)))))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(cbrt.f64 (.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6))) (.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6))) (exp.f64 (-.f64 -1/2 (-.f64 z -6))))))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6)))))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6)))))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 1)
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(.f64 (.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(/.f64 (-.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(/.f64 (-.f64 (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000)) (.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000)) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (+.f64 z 1)) (+.f64 z 1))) (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(/.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 1)
(/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 3)) (+.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 3)) (fma.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 3) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.f64 z 1) 3))) (fma.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 3)) (fma.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -6765203681218851/10000000000000 z) -9999999999998099/10000000000000000)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 3) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.f64 z 1) 3))) (fma.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -6765203681218851/10000000000000 z) -9999999999998099/10000000000000000)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))))
(pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 1)
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(log.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(cbrt.f64 (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))

localize324.0ms (1.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2))))
✓	0.9b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.0b	(exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))

Compiler

Compiled 605 to 524 computations (13.4% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	inf	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2))))
1.0ms	z	@	0	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2))))
1.0ms	z	@	-inf	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2))))
0.0ms	z	@	0	(exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))
0.0ms	z	@	0	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2)))

rewrite94.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

718×	`add-sqr-sqrt`
678×	`*-un-lft-identity`
676×	`pow1`
674×	`add-exp-log`
674×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	127
1	711	99

Stop Event

1×	node limit

Counts

3 → 40

Calls

Call 1

Inputs

(exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))

(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2)))

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (neg.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 (+.f64 z 13/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (neg.f64 (+.f64 z 13/2)))) (sqrt.f64 (exp.f64 (neg.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (neg.f64 (+.f64 z 13/2)))) (cbrt.f64 (pow.f64 (exp.f64 (neg.f64 (+.f64 z 13/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 (neg.f64 (+.f64 z 13/2))) 2)) (cbrt.f64 (exp.f64 (neg.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 (neg.f64 (+.f64 z 13/2))) 1/2) (pow.f64 (exp.f64 (neg.f64 (+.f64 z 13/2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (exp.f64 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 (+.f64 z 13/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (neg.f64 (+.f64 z 13/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (neg.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 (+.f64 z 13/2))) 2) (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (neg.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (neg.f64 (+.f64 z 13/2)))))))))

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (cbrt.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 2)) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 2)) (/.f64 1 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 1/2) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 2)) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 3)) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 2) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))))))

((#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))))))))

simplify106.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1788×	`fma-def`
934×	`*-commutative`
856×	`distribute-lft-in`
818×	`associate-+r-`
814×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	226	3722
1	614	3462
2	2096	3318
3	7685	3312

Stop Event

1×	node limit

Counts

76 → 127

Calls

Call 1

Inputs
(exp.f64 -13/2)
(+.f64 (.f64 -1 (.f64 z (exp.f64 -13/2))) (exp.f64 -13/2))
(+.f64 (.f64 1/2 (.f64 (pow.f64 z 2) (exp.f64 -13/2))) (+.f64 (.f64 -1 (.f64 z (exp.f64 -13/2))) (exp.f64 -13/2)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 z 3) (exp.f64 -13/2))) (+.f64 (.f64 1/2 (.f64 (pow.f64 z 2) (exp.f64 -13/2))) (+.f64 (.f64 -1 (.f64 z (exp.f64 -13/2))) (exp.f64 -13/2))))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 12581392167224029901/10000000000000000)
(-.f64 (+.f64 (.f64 3147848041806007/2500000000000 z) (.f64 6765203681218851/10000000000000 (/.f64 1 z))) 12581392167224029901/10000000000000000)
(-.f64 (+.f64 (.f64 3147848041806007/2500000000000 z) (+.f64 (.f64 -3147848041806007/2500000000000 (pow.f64 z 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 12581392167224029901/10000000000000000)
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64)))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/2 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))))))) (pow.f64 z 3))) (sqrt.f64 (PI.f64))))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64)))
(*.f64 1 (exp.f64 (neg.f64 (+.f64 z 13/2))))
(*.f64 (exp.f64 (neg.f64 (+.f64 z 13/2))) 1)
(*.f64 (sqrt.f64 (exp.f64 (neg.f64 (+.f64 z 13/2)))) (sqrt.f64 (exp.f64 (neg.f64 (+.f64 z 13/2)))))
(*.f64 (cbrt.f64 (exp.f64 (neg.f64 (+.f64 z 13/2)))) (cbrt.f64 (pow.f64 (exp.f64 (neg.f64 (+.f64 z 13/2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (neg.f64 (+.f64 z 13/2))) 2)) (cbrt.f64 (exp.f64 (neg.f64 (+.f64 z 13/2)))))
(*.f64 (pow.f64 (exp.f64 (neg.f64 (+.f64 z 13/2))) 1/2) (pow.f64 (exp.f64 (neg.f64 (+.f64 z 13/2))) 1/2))
(/.f64 1 (exp.f64 (+.f64 z 13/2)))
(/.f64 1 (/.f64 (exp.f64 (+.f64 z 13/2)) 1))
(pow.f64 (exp.f64 (neg.f64 (+.f64 z 13/2))) 1)
(log.f64 (exp.f64 (exp.f64 (neg.f64 (+.f64 z 13/2)))))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 (+.f64 z 13/2))) 2) (exp.f64 (+.f64 z 13/2))))
(expm1.f64 (log1p.f64 (exp.f64 (neg.f64 (+.f64 z 13/2)))))
(log1p.f64 (expm1.f64 (exp.f64 (neg.f64 (+.f64 z 13/2)))))
(*.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 1)
(*.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))
(*.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (cbrt.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 2)) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))
(*.f64 (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 2)) (/.f64 1 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))
(.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))))
(*.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 1/2) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 1/2))
(/.f64 1 (/.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 3))))
(/.f64 (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 2)) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 3)) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))))
(/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(/.f64 (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 2) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))
(pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 1)
(log.f64 (exp.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))
(cbrt.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 2)))
(expm1.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))
(exp.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))
(log1p.f64 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (+.f64 z 13/2)))
(pow.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) 1)
(log.f64 (exp.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))))
(cbrt.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (pow.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) 2)))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))))

Outputs
(exp.f64 -13/2)
(+.f64 (.f64 -1 (.f64 z (exp.f64 -13/2))) (exp.f64 -13/2))
(fma.f64 -1 (*.f64 (exp.f64 -13/2) z) (exp.f64 -13/2))
(-.f64 (exp.f64 -13/2) (*.f64 (exp.f64 -13/2) z))
(*.f64 (exp.f64 -13/2) (fma.f64 -1 z 1))
(*.f64 (exp.f64 -13/2) (-.f64 1 z))
(+.f64 (.f64 1/2 (.f64 (pow.f64 z 2) (exp.f64 -13/2))) (+.f64 (.f64 -1 (.f64 z (exp.f64 -13/2))) (exp.f64 -13/2)))
(fma.f64 1/2 (.f64 (exp.f64 -13/2) (.f64 z z)) (fma.f64 -1 (*.f64 (exp.f64 -13/2) z) (exp.f64 -13/2)))
(+.f64 (exp.f64 -13/2) (.f64 (exp.f64 -13/2) (+.f64 (.f64 1/2 (*.f64 z z)) (neg.f64 z))))
(fma.f64 (exp.f64 -13/2) (fma.f64 1/2 (*.f64 z z) (neg.f64 z)) (exp.f64 -13/2))
(.f64 (exp.f64 -13/2) (+.f64 (-.f64 1 z) (.f64 z (*.f64 z 1/2))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 z 3) (exp.f64 -13/2))) (+.f64 (.f64 1/2 (.f64 (pow.f64 z 2) (exp.f64 -13/2))) (+.f64 (.f64 -1 (.f64 z (exp.f64 -13/2))) (exp.f64 -13/2))))
(fma.f64 -1/6 (.f64 (exp.f64 -13/2) (pow.f64 z 3)) (fma.f64 1/2 (.f64 (exp.f64 -13/2) (.f64 z z)) (fma.f64 -1 (.f64 (exp.f64 -13/2) z) (exp.f64 -13/2))))
(+.f64 (-.f64 (exp.f64 -13/2) (.f64 (exp.f64 -13/2) z)) (.f64 (exp.f64 -13/2) (+.f64 (.f64 -1/6 (pow.f64 z 3)) (.f64 1/2 (*.f64 z z)))))
(fma.f64 (exp.f64 -13/2) (.f64 (.f64 z z) (+.f64 (.f64 z -1/6) 1/2)) (.f64 (exp.f64 -13/2) (fma.f64 -1 z 1)))
(+.f64 (exp.f64 -13/2) (.f64 (exp.f64 -13/2) (-.f64 (.f64 (.f64 z z) (+.f64 (.f64 z -1/6) 1/2)) z)))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (fma.f64 -1 z -13/2))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (fma.f64 -1 z -13/2))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (fma.f64 -1 z -13/2))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (fma.f64 -1 z -13/2))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (fma.f64 -1 z -13/2))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (fma.f64 -1 z -13/2))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (fma.f64 -1 z -13/2))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (fma.f64 -1 z -13/2))
(exp.f64 (-.f64 -13/2 z))
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 12581392167224029901/10000000000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) -12581392167224029901/10000000000000000)
(-.f64 (+.f64 (.f64 3147848041806007/2500000000000 z) (.f64 6765203681218851/10000000000000 (/.f64 1 z))) 12581392167224029901/10000000000000000)
(+.f64 (fma.f64 3147848041806007/2500000000000 z (/.f64 6765203681218851/10000000000000 z)) -12581392167224029901/10000000000000000)
(+.f64 (fma.f64 z 3147848041806007/2500000000000 (/.f64 6765203681218851/10000000000000 z)) -12581392167224029901/10000000000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z 3147848041806007/2500000000000 -12581392167224029901/10000000000000000))
(-.f64 (+.f64 (.f64 3147848041806007/2500000000000 z) (+.f64 (.f64 -3147848041806007/2500000000000 (pow.f64 z 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 12581392167224029901/10000000000000000)
(+.f64 (fma.f64 3147848041806007/2500000000000 z (fma.f64 -3147848041806007/2500000000000 (*.f64 z z) (/.f64 6765203681218851/10000000000000 z))) -12581392167224029901/10000000000000000)
(+.f64 (fma.f64 z 3147848041806007/2500000000000 (fma.f64 (*.f64 z z) -3147848041806007/2500000000000 (/.f64 6765203681218851/10000000000000 z))) -12581392167224029901/10000000000000000)
(fma.f64 z 3147848041806007/2500000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z (*.f64 z -3147848041806007/2500000000000) -12581392167224029901/10000000000000000)))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
(+.f64 9999999999998099/10000000000000000 (/.f64 -5826188486005177/10000000000000 z))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 3147848041806007/2500000000000 (*.f64 z z))) (/.f64 5826188486005177/10000000000000 z))
(+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -5826188486005177/10000000000000 z)))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -5826188486005177/10000000000000 z)) (/.f64 3147848041806007/2500000000000 (*.f64 z z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 3147848041806007/2500000000000 (*.f64 z z))) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3)))) (/.f64 -5826188486005177/10000000000000 z))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 (/.f64 -5826188486005177/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3)))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
(+.f64 9999999999998099/10000000000000000 (/.f64 -5826188486005177/10000000000000 z))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 3147848041806007/2500000000000 (*.f64 z z))) (/.f64 5826188486005177/10000000000000 z))
(+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -5826188486005177/10000000000000 z)))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -5826188486005177/10000000000000 z)) (/.f64 3147848041806007/2500000000000 (*.f64 z z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 3147848041806007/2500000000000 (*.f64 z z))) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3)))) (/.f64 -5826188486005177/10000000000000 z))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 (/.f64 -5826188486005177/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3)))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -13/2) (sqrt.f64 2/13))) (.f64 (sqrt.f64 2) (.f64 z (.f64 (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1))))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (+.f64 (.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) (.f64 z (.f64 (.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) (+.f64 (log.f64 13/2) -14/13))))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (fma.f64 (exp.f64 -13/2) (sqrt.f64 2/13) (.f64 (.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) (*.f64 z (+.f64 (log.f64 13/2) -14/13)))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64)))))
(fma.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 z z) (fma.f64 1/2 (.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) (fma.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) (neg.f64 (.f64 (.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) (+.f64 (log.f64 13/2) -1/13))))))) (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -13/2) (sqrt.f64 2/13))) (.f64 (sqrt.f64 2) (.f64 z (.f64 (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)))))))
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(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2))))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2))))

eval1.4s (5.9%)

Compiler: Compiled 61485 to 51144 computations (16.8% saved)

prune711.0ms (3%)

Pruning

119 alts after pruning (117 fresh and 2 done)

	Pruned	Kept	Total
New	615	117	732
Fresh	0	0	0
Picked	1	0	1
Done	2	2	4
Total	618	119	737

Error

0.3b

Counts

737 → 119

Alt Table

Click to see full alt table

Status	Error	Program
	2.6b	(.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (+.f64 z 13/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	2.6b	(.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	3.3b	(.f64 (.f64 (.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2)))) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (-.f64 z 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 z -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 z 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 z -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 z -7)))))
	2.7b	(.f64 (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (-.f64 z 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 z -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 z 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 z -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 z -7)))))
	2.7b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 2) (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	2.8b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	2.8b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 3) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.f64 z 1) 3))) (fma.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 -9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	3.0b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	2.7b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	2.8b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (cbrt.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	3.2b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (cbrt.f64 (exp.f64 (-.f64 (*.f64 (+.f64 z 13/2) -2) (+.f64 z 13/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	2.7b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (-.f64 z 1/2))) (*.f64 (sqrt.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6)))) (sqrt.f64 (exp.f64 (-.f64 -1/2 (-.f64 z -6)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 z 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 z -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 z -7)))))
	2.7b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (-.f64 z 1/2))) (exp.f64 (-.f64 -13/2 z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 z 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 z -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 z -7)))))
	2.8b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (-.f64 z 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 z -6)) -1/2))) (+.f64 (+.f64 (/.f64 (-.f64 (.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 z -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 z -7)))))
	2.7b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (-.f64 z 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 z -6)) -1/2))) (+.f64 (+.f64 (/.f64 (-.f64 (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3))))) (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 z -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 z -7)))))
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	3.1b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (cbrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))) 3))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
	2.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 3))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
	3.0b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (/.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))) (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
▶	2.8b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
	2.6b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
	3.0b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))
	2.6b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
	2.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
	53.3b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (.f64 9999999999998099/10000000000000000 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))
	2.6b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (cbrt.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))) 3)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
	2.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (cbrt.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
	2.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (cbrt.f64 (.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
	55.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 6765203681218851/10000000000000 (/.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) z)))
▶	55.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 (exp.f64 -13/2) (/.f64 z (sqrt.f64 2/13)))))
	53.3b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
	53.3b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))
	53.2b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 (-.f64 -13/2 z) (.f64 (log.f64 (+.f64 z 13/2)) (-.f64 1/2 z))))))
	3.6b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (log.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))))
	3.6b	(.f64 (exp.f64 (log.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))

Compiler

Compiled 19224 to 16016 computations (16.7% saved)

localize189.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))
✓	0.8b	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.0b	(exp.f64 (-.f64 -13/2 z))

Compiler

Compiled 471 to 355 computations (24.6% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
1.0ms	z	@	inf	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
1.0ms	z	@	-inf	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
0.0ms	z	@	inf	(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))
0.0ms	z	@	-inf	(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))

rewrite96.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1352×	`add-sqr-sqrt`
1286×	`add-exp-log`
1286×	`add-log-exp`
1282×	`add-cbrt-cube`
1282×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	234
1	1314	234

Stop Event

1×	node limit

Counts

2 → 18

Calls

Call 1

Inputs

(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))

(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))))))

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (*.f64 (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))) (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 3) (pow.f64 (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)) 3)) (+.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 (*.f64 (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z))) (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 7713234287776531/10000000000000 (fma.f64 z z z)) (*.f64 (+.f64 z 2) (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)))) (*.f64 (+.f64 z 2) (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))))))))

simplify89.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1034×	`times-frac`
1032×	`associate-+r+`
1032×	`*-commutative`
922×	`associate-+l+`
818×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	250	4698
1	731	4000
2	2732	3604

Stop Event

1×	node limit

Counts

42 → 103

Calls

Call 1

Inputs
(.f64 6765203681218851/10000000000000 (/.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) z))
(+.f64 (.f64 (+.f64 (.f64 -6765203681218851/10000000000000 (exp.f64 -13/2)) (.f64 -487331279103252896793517613/525000000000000000000000 (exp.f64 -13/2))) (sqrt.f64 2/13)) (+.f64 (.f64 6765203681218851/10000000000000 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) (.f64 6765203681218851/10000000000000 (/.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) z))))
(+.f64 (.f64 (+.f64 (.f64 -6765203681218851/10000000000000 (exp.f64 -13/2)) (.f64 -487331279103252896793517613/525000000000000000000000 (exp.f64 -13/2))) (sqrt.f64 2/13)) (+.f64 (.f64 6765203681218851/10000000000000 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) (+.f64 (.f64 (+.f64 (.f64 6765203681218851/10000000000000 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) (+.f64 (.f64 (+.f64 (.f64 -6765203681218851/10000000000000 (exp.f64 -13/2)) (.f64 -487331279103252896793517613/525000000000000000000000 (exp.f64 -13/2))) (.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (.f64 (+.f64 (.f64 487331279103252896793517613/525000000000000000000000 (exp.f64 -13/2)) (+.f64 (.f64 373870182501661212981625127/344531250000000000000000 (exp.f64 -13/2)) (.f64 6765203681218851/20000000000000 (exp.f64 -13/2)))) (sqrt.f64 2/13)))) z) (.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) z)))))
(+.f64 (.f64 (pow.f64 z 2) (+.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (.f64 (+.f64 (.f64 -6765203681218851/10000000000000 (exp.f64 -13/2)) (.f64 -487331279103252896793517613/525000000000000000000000 (exp.f64 -13/2))) (sqrt.f64 2/13))) (+.f64 (.f64 6765203681218851/10000000000000 (.f64 (-.f64 (+.f64 (.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) (+.f64 (.f64 (sqrt.f64 2/13) (+.f64 (.f64 -373870182501661212981625127/344531250000000000000000 (exp.f64 -13/2)) (+.f64 (.f64 -2255067893739617/20000000000000 (exp.f64 -13/2)) (+.f64 (.f64 -487331279103252896793517613/1050000000000000000000000 (exp.f64 -13/2)) (.f64 -541338218559767156914609007209/463050000000000000000000000 (exp.f64 -13/2)))))) (.f64 (+.f64 (.f64 487331279103252896793517613/525000000000000000000000 (exp.f64 -13/2)) (+.f64 (.f64 373870182501661212981625127/344531250000000000000000 (exp.f64 -13/2)) (.f64 6765203681218851/20000000000000 (exp.f64 -13/2)))) (.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))))))) (+.f64 (.f64 (+.f64 (.f64 -6765203681218851/10000000000000 (exp.f64 -13/2)) (.f64 -487331279103252896793517613/525000000000000000000000 (exp.f64 -13/2))) (sqrt.f64 2/13)) (+.f64 (.f64 6765203681218851/10000000000000 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) (+.f64 (.f64 (+.f64 (.f64 6765203681218851/10000000000000 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) (+.f64 (.f64 (+.f64 (.f64 -6765203681218851/10000000000000 (exp.f64 -13/2)) (.f64 -487331279103252896793517613/525000000000000000000000 (exp.f64 -13/2))) (.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (.f64 (+.f64 (.f64 487331279103252896793517613/525000000000000000000000 (exp.f64 -13/2)) (+.f64 (.f64 373870182501661212981625127/344531250000000000000000 (exp.f64 -13/2)) (.f64 6765203681218851/20000000000000 (exp.f64 -13/2)))) (sqrt.f64 2/13)))) z) (.f64 6765203681218851/10000000000000 (/.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) z))))))
(.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z)))))
(+.f64 (.f64 611458333333720910362579/25000000000000000000000 (/.f64 (.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z)))) z)) (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))))
(+.f64 (.f64 4925021701373474946951247/25000000000000000000000 (/.f64 (.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z)))) (pow.f64 z 2))) (+.f64 (.f64 611458333333720910362579/25000000000000000000000 (/.f64 (.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z)))) z)) (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z)))))))
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(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 698782001866861/800000000000)
(-.f64 (+.f64 (.f64 42652334381119581/40000000000000 z) (.f64 6765203681218851/10000000000000 (/.f64 1 z))) 698782001866861/800000000000)
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(/.f64 943522900885677/5000000000000 z)
(-.f64 (.f64 943522900885677/5000000000000 (/.f64 1 z)) (.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (.f64 943522900885677/5000000000000 (/.f64 1 z))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (.f64 943522900885677/5000000000000 (/.f64 1 z))) (+.f64 (.f64 2455724106749411/500000000000 (/.f64 1 (pow.f64 z 4))) (.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2)))))
(/.f64 943522900885677/5000000000000 z)
(-.f64 (.f64 943522900885677/5000000000000 (/.f64 1 z)) (.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (.f64 943522900885677/5000000000000 (/.f64 1 z))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (.f64 943522900885677/5000000000000 (/.f64 1 z))) (+.f64 (.f64 2455724106749411/500000000000 (/.f64 1 (pow.f64 z 4))) (.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2)))))
(pow.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 1)
(log.f64 (exp.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))
(cbrt.f64 (.f64 (.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))
(exp.f64 (log.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))
(*.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))))
(.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))))
(/.f64 (-.f64 (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (.f64 (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))) (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z))))
(/.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 3) (pow.f64 (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)) 3)) (+.f64 (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 (.f64 (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z))) (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z))))))
(/.f64 (+.f64 (.f64 7713234287776531/10000000000000 (fma.f64 z z z)) (.f64 (+.f64 z 2) (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)))) (*.f64 (+.f64 z 2) (fma.f64 z z z)))
(pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))))
(cbrt.f64 (.f64 (.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))))
(exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))))

Outputs
(.f64 6765203681218851/10000000000000 (/.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) z))
(*.f64 6765203681218851/10000000000000 (/.f64 (sqrt.f64 2/13) (/.f64 z (exp.f64 -13/2))))
(.f64 (/.f64 (.f64 6765203681218851/10000000000000 (sqrt.f64 2/13)) z) (exp.f64 -13/2))
(+.f64 (.f64 (+.f64 (.f64 -6765203681218851/10000000000000 (exp.f64 -13/2)) (.f64 -487331279103252896793517613/525000000000000000000000 (exp.f64 -13/2))) (sqrt.f64 2/13)) (+.f64 (.f64 6765203681218851/10000000000000 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) (.f64 6765203681218851/10000000000000 (/.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) z))))
(fma.f64 (.f64 (exp.f64 -13/2) -842504472367242574293517613/525000000000000000000000) (sqrt.f64 2/13) (.f64 6765203681218851/10000000000000 (+.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (log.f64 13/2) -1/13)) (/.f64 (sqrt.f64 2/13) (/.f64 z (exp.f64 -13/2))))))
(fma.f64 6765203681218851/10000000000000 (fma.f64 (.f64 (sqrt.f64 2/13) (+.f64 (log.f64 13/2) -1/13)) (exp.f64 -13/2) (/.f64 (sqrt.f64 2/13) (/.f64 z (exp.f64 -13/2)))) (.f64 (sqrt.f64 2/13) (*.f64 (exp.f64 -13/2) -842504472367242574293517613/525000000000000000000000)))
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(/.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z 2) 3)) (pow.f64 (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)) 3)) (fma.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (*.f64 (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)) (-.f64 (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))
(/.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z 2) 3)) (pow.f64 (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)) 3)) (fma.f64 (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)) (+.f64 (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)) (/.f64 -7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (+.f64 z 2)) (+.f64 z 2))))
(/.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z 2) 3)) (pow.f64 (/.f64 (+.f64 6765203681218851/10000000000000 (.f64 z -5826188486005177/10000000000000)) (fma.f64 z z z)) 3)) (fma.f64 (/.f64 (+.f64 6765203681218851/10000000000000 (.f64 z -5826188486005177/10000000000000)) (fma.f64 z z z)) (+.f64 (/.f64 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (fma.f64 z z z)) (/.f64 -7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (+.f64 z 2)) (+.f64 z 2))))
(/.f64 (+.f64 (.f64 7713234287776531/10000000000000 (fma.f64 z z z)) (.f64 (+.f64 z 2) (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)))) (*.f64 (+.f64 z 2) (fma.f64 z z z)))
(/.f64 (fma.f64 7713234287776531/10000000000000 (fma.f64 z z z) (.f64 (+.f64 z 2) (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)))) (.f64 (+.f64 z 2) (fma.f64 z z z)))
(/.f64 (fma.f64 (+.f64 z 2) (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (.f64 7713234287776531/10000000000000 (fma.f64 z z z))) (.f64 (+.f64 z 2) (fma.f64 z z z)))
(/.f64 (fma.f64 (+.f64 z 2) (+.f64 6765203681218851/10000000000000 (.f64 z -5826188486005177/10000000000000)) (.f64 7713234287776531/10000000000000 (fma.f64 z z z))) (*.f64 (+.f64 z 2) (fma.f64 z z z)))
(pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z))) 1)
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (fma.f64 z z z)))
(log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (fma.f64 z z z)))
(cbrt.f64 (.f64 (.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))))
(cbrt.f64 (.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z))) (.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z))) 3))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (fma.f64 z z z))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (fma.f64 z z z)))
(exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (fma.f64 z z z)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (fma.f64 z z z)))

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (exp.f64 -13/2) (/.f64 z (sqrt.f64 2/13)))
✓	0.4b	(/.f64 z (sqrt.f64 2/13))
✓	0.5b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 (exp.f64 -13/2) (/.f64 z (sqrt.f64 2/13)))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 52 to 44 computations (15.4% saved)

series5.0ms (0%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 (exp.f64 -13/2) (/.f64 z (sqrt.f64 2/13)))))
1.0ms	z	@	inf	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 (exp.f64 -13/2) (/.f64 z (sqrt.f64 2/13)))))
1.0ms	z	@	inf	(/.f64 z (sqrt.f64 2/13))
0.0ms	z	@	-inf	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 (exp.f64 -13/2) (/.f64 z (sqrt.f64 2/13)))))
0.0ms	z	@	0	(/.f64 z (sqrt.f64 2/13))

rewrite93.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1698×	`associate-/l*`
868×	`associate-/r/`
364×	`add-sqr-sqrt`
346×	`pow1`
346×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	77
1	372	77
2	4547	77

Stop Event

1×	node limit

Counts

3 → 148

Calls

Call 1

Inputs

(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 (exp.f64 -13/2) (/.f64 z (sqrt.f64 2/13)))))

(/.f64 z (sqrt.f64 2/13))

(/.f64 (exp.f64 -13/2) (/.f64 z (sqrt.f64 2/13)))

Outputs

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(exp.f64 -13/2) (sqrt.f64 2/13))) (*.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/4) 6765203681218851/10000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 z (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13))) (*.f64 (sqrt.f64 2) 6765203681218851/10000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (/.f64 z (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 6765203681218851/10000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (/.f64 z (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6765203681218851/10000000000000 (exp.f64 -13/2)) (/.f64 (/.f64 z (sqrt.f64 2/13)) (sqrt.f64 (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 6765203681218851/10000000000000)) (/.f64 (/.f64 z (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 6765203681218851/10000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 6765203681218851/10000000000000)) (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 6765203681218851/10000000000000))) (/.f64 (/.f64 z (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13))) (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 6765203681218851/10000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (exp.f64 -13/2)) (/.f64 z (sqrt.f64 2/13)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 6765203681218851/10000000000000) 1) (/.f64 z (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (exp.f64 -13/2))) (/.f64 z (sqrt.f64 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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 45767980848377092942628957760201/100000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 z (/.f64 2/13 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 6765203681218851/10000000000000) (/.f64 (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (exp.f64 -13/2) 3) (pow.f64 (/.f64 z (sqrt.f64 2/13)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 -13/2 (log.f64 (/.f64 (sqrt.f64 2/13) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 -13/2 (log.f64 (/.f64 (sqrt.f64 2/13) z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) z)))))))

simplify103.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1184×	`distribute-lft-in`
1178×	`distribute-rgt-in`
690×	`distribute-lft-neg-out`
554×	`associate-r`
498×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	374	5320
1	993	5214
2	4397	5214

Stop Event

1×	node limit

Counts

172 → 224

Calls

Call 1

Inputs
(.f64 6765203681218851/10000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) z) (sqrt.f64 (PI.f64))))
(.f64 6765203681218851/10000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) z) (sqrt.f64 (PI.f64))))
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(pow.f64 (/.f64 (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) z) 1)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) z)) 2)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) z)) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) z) 3) 1/3)
(pow.f64 (/.f64 z (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13))) -1)
(neg.f64 (*.f64 (/.f64 (exp.f64 -13/2) (neg.f64 z)) (sqrt.f64 2/13)))
(sqrt.f64 (/.f64 (exp.f64 -13) (/.f64 z (/.f64 2/13 z))))
(log.f64 (exp.f64 (/.f64 (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) z)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) z))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) z) 3))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 -13/2) 3) (pow.f64 (/.f64 z (sqrt.f64 2/13)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) z)))
(exp.f64 (+.f64 -13/2 (log.f64 (/.f64 (sqrt.f64 2/13) z))))
(exp.f64 (*.f64 (+.f64 -13/2 (log.f64 (/.f64 (sqrt.f64 2/13) z))) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) z)))

Outputs
(.f64 6765203681218851/10000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) z) (sqrt.f64 (PI.f64))))
(.f64 (.f64 6765203681218851/10000000000000 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -13/2)) (sqrt.f64 2/13)))) (sqrt.f64 (PI.f64)))
(.f64 6765203681218851/10000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 (sqrt.f64 (PI.f64)) 6765203681218851/10000000000000))
(.f64 6765203681218851/10000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) z) (sqrt.f64 (PI.f64))))
(.f64 (.f64 6765203681218851/10000000000000 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -13/2)) (sqrt.f64 2/13)))) (sqrt.f64 (PI.f64)))
(.f64 6765203681218851/10000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 (sqrt.f64 (PI.f64)) 6765203681218851/10000000000000))
(.f64 6765203681218851/10000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) z) (sqrt.f64 (PI.f64))))
(.f64 (.f64 6765203681218851/10000000000000 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -13/2)) (sqrt.f64 2/13)))) (sqrt.f64 (PI.f64)))
(.f64 6765203681218851/10000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))))
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(.f64 6765203681218851/10000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) z) (sqrt.f64 (PI.f64))))
(.f64 (.f64 6765203681218851/10000000000000 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -13/2)) (sqrt.f64 2/13)))) (sqrt.f64 (PI.f64)))
(.f64 6765203681218851/10000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))))
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(.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 (sqrt.f64 (PI.f64)) 6765203681218851/10000000000000))
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(.f64 6765203681218851/10000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 (sqrt.f64 (PI.f64)) 6765203681218851/10000000000000))
(.f64 6765203681218851/10000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) z) (sqrt.f64 (PI.f64))))
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(.f64 6765203681218851/10000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))))
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(/.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) z)
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(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 6765203681218851/10000000000000 (/.f64 (.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) z))))) 1)
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(/.f64 (*.f64 (exp.f64 -13/2) (pow.f64 2/13 1/2)) z)
(*.f64 (/.f64 (/.f64 (exp.f64 -13/2) 1) (/.f64 z (cbrt.f64 2/13))) (cbrt.f64 (sqrt.f64 2/13)))
(/.f64 (*.f64 (exp.f64 -13/2) (cbrt.f64 (sqrt.f64 2/13))) (/.f64 z (cbrt.f64 2/13)))
(.f64 (cbrt.f64 (sqrt.f64 2/13)) (.f64 (cbrt.f64 2/13) (/.f64 (exp.f64 -13/2) z)))
(.f64 (/.f64 (exp.f64 -13/2) z) (.f64 (cbrt.f64 2/13) (cbrt.f64 (sqrt.f64 2/13))))
(*.f64 (/.f64 (/.f64 (exp.f64 -13/2) 1) -1) (neg.f64 (/.f64 (sqrt.f64 2/13) z)))
(*.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 -13/2) z))
(*.f64 (exp.f64 -13/2) (/.f64 (sqrt.f64 2/13) z))
(*.f64 (/.f64 (/.f64 (exp.f64 -13/2) 1) (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (sqrt.f64 2/13))))
(*.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 -13/2) z))
(*.f64 (exp.f64 -13/2) (/.f64 (sqrt.f64 2/13) z))
(*.f64 (/.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 (/.f64 z (sqrt.f64 2/13)))) 1) (sqrt.f64 (/.f64 (sqrt.f64 2/13) z)))
(*.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 (/.f64 z (sqrt.f64 2/13)))) (sqrt.f64 (/.f64 (sqrt.f64 2/13) z)))
(*.f64 (/.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 (/.f64 z (sqrt.f64 2/13)))) (sqrt.f64 z)) (pow.f64 2/13 1/4))
(*.f64 (/.f64 (pow.f64 2/13 1/4) (sqrt.f64 z)) (/.f64 (exp.f64 -13/2) (sqrt.f64 (/.f64 z (sqrt.f64 2/13)))))
(.f64 (pow.f64 2/13 1/4) (/.f64 (exp.f64 -13/2) (.f64 (sqrt.f64 (/.f64 z (sqrt.f64 2/13))) (sqrt.f64 z))))
(*.f64 (/.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 (/.f64 z (sqrt.f64 2/13)))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 (sqrt.f64 2/13))))
(.f64 (/.f64 (exp.f64 -13/2) (.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (/.f64 z (sqrt.f64 2/13))))) (sqrt.f64 (neg.f64 (sqrt.f64 2/13))))
(/.f64 (.f64 (exp.f64 -13/2) (sqrt.f64 (neg.f64 (sqrt.f64 2/13)))) (.f64 (sqrt.f64 (/.f64 z (sqrt.f64 2/13))) (sqrt.f64 (neg.f64 z))))
(*.f64 (/.f64 (/.f64 (exp.f64 -13/2) (cbrt.f64 (/.f64 z (/.f64 2/13 z)))) 1) (cbrt.f64 (/.f64 (sqrt.f64 2/13) z)))
(.f64 (/.f64 (exp.f64 -13/2) (cbrt.f64 (.f64 (/.f64 z 2/13) z))) (cbrt.f64 (/.f64 (sqrt.f64 2/13) z)))
(.f64 (/.f64 (exp.f64 -13/2) (cbrt.f64 (.f64 z (/.f64 z 2/13)))) (cbrt.f64 (/.f64 (sqrt.f64 2/13) z)))
(*.f64 (/.f64 (/.f64 (exp.f64 -13/2) (cbrt.f64 (/.f64 z (/.f64 2/13 z)))) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 2/13)))
(.f64 (cbrt.f64 (sqrt.f64 2/13)) (/.f64 (exp.f64 -13/2) (.f64 (cbrt.f64 z) (cbrt.f64 (*.f64 (/.f64 z 2/13) z)))))
(.f64 (cbrt.f64 (sqrt.f64 2/13)) (/.f64 (exp.f64 -13/2) (.f64 (cbrt.f64 (*.f64 z (/.f64 z 2/13))) (cbrt.f64 z))))
(.f64 (cbrt.f64 (sqrt.f64 2/13)) (/.f64 (/.f64 (exp.f64 -13/2) (cbrt.f64 z)) (cbrt.f64 (.f64 z (/.f64 z 2/13)))))
(*.f64 (/.f64 (/.f64 (exp.f64 -13/2) (cbrt.f64 (/.f64 z (/.f64 2/13 z)))) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 (sqrt.f64 2/13))))
(.f64 (/.f64 (exp.f64 -13/2) (.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (*.f64 (/.f64 z 2/13) z)))) (cbrt.f64 (neg.f64 (sqrt.f64 2/13))))
(.f64 (/.f64 (/.f64 (exp.f64 -13/2) (cbrt.f64 (.f64 z (/.f64 z 2/13)))) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 (sqrt.f64 2/13))))
(.f64 (/.f64 (/.f64 (exp.f64 -13/2) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (.f64 z (/.f64 z 2/13)))) (cbrt.f64 (neg.f64 (sqrt.f64 2/13))))
(pow.f64 (/.f64 (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) z) 1)
(*.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 -13/2) z))
(*.f64 (exp.f64 -13/2) (/.f64 (sqrt.f64 2/13) z))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) z)) 2)
(*.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 -13/2) z))
(*.f64 (exp.f64 -13/2) (/.f64 (sqrt.f64 2/13) z))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) z)) 3)
(*.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 -13/2) z))
(*.f64 (exp.f64 -13/2) (/.f64 (sqrt.f64 2/13) z))
(pow.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) z) 3) 1/3)
(*.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 -13/2) z))
(*.f64 (exp.f64 -13/2) (/.f64 (sqrt.f64 2/13) z))
(pow.f64 (/.f64 z (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13))) -1)
(*.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 -13/2) z))
(*.f64 (exp.f64 -13/2) (/.f64 (sqrt.f64 2/13) z))
(neg.f64 (*.f64 (/.f64 (exp.f64 -13/2) (neg.f64 z)) (sqrt.f64 2/13)))
(*.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 -13/2) z))
(*.f64 (exp.f64 -13/2) (/.f64 (sqrt.f64 2/13) z))
(sqrt.f64 (/.f64 (exp.f64 -13) (/.f64 z (/.f64 2/13 z))))
(sqrt.f64 (*.f64 (/.f64 (exp.f64 -13) z) (/.f64 2/13 z)))
(sqrt.f64 (/.f64 (exp.f64 -13) (*.f64 z (/.f64 z 2/13))))
(sqrt.f64 (*.f64 (/.f64 2/13 z) (/.f64 (exp.f64 -13) z)))
(log.f64 (exp.f64 (/.f64 (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) z)))
(*.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 -13/2) z))
(*.f64 (exp.f64 -13/2) (/.f64 (sqrt.f64 2/13) z))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) z))))
(*.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 -13/2) z))
(*.f64 (exp.f64 -13/2) (/.f64 (sqrt.f64 2/13) z))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) z) 3))
(*.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 -13/2) z))
(*.f64 (exp.f64 -13/2) (/.f64 (sqrt.f64 2/13) z))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 -13/2) 3) (pow.f64 (/.f64 z (sqrt.f64 2/13)) 3)))
(*.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 -13/2) z))
(*.f64 (exp.f64 -13/2) (/.f64 (sqrt.f64 2/13) z))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) z)))
(*.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 -13/2) z))
(*.f64 (exp.f64 -13/2) (/.f64 (sqrt.f64 2/13) z))
(exp.f64 (+.f64 -13/2 (log.f64 (/.f64 (sqrt.f64 2/13) z))))
(*.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 -13/2) z))
(*.f64 (exp.f64 -13/2) (/.f64 (sqrt.f64 2/13) z))
(exp.f64 (*.f64 (+.f64 -13/2 (log.f64 (/.f64 (sqrt.f64 2/13) z))) 1))
(*.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 -13/2) z))
(*.f64 (exp.f64 -13/2) (/.f64 (sqrt.f64 2/13) z))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) z)))
(*.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 -13/2) z))
(*.f64 (exp.f64 -13/2) (/.f64 (sqrt.f64 2/13) z))

localize276.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.9b	(+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.0b	(exp.f64 (+.f64 (neg.f64 (-.f64 z -6)) -1/2))
✓	1.9b	(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))

Compiler

Compiled 400 to 325 computations (18.8% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))

0.0ms

inf

(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))

0.0ms

-inf

(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))

rewrite137.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

632×	`+-commutative`
516×	`add-sqr-sqrt`
490×	`add-exp-log`
490×	`add-cbrt-cube`
490×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	61
1	498	61
2	7606	61

Stop Event

1×	node limit

Counts

1 → 61

Calls

Call 1

Inputs

(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 2) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (/.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 2) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 2) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))) (+.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 3) (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 2) (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 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simplify165.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1608×	`associate-+r+`
1044×	`+-commutative`
908×	`associate-*r/`
850×	`associate-*l/`
714×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	296	9103
1	929	8943
2	3721	8943

Stop Event

1×	node limit

Counts

73 → 129

Calls

Call 1

Inputs
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 18646983574419129/20000000000000)
(-.f64 (+.f64 (.f64 130311870198853951/120000000000000 z) (.f64 6765203681218851/10000000000000 (/.f64 1 z))) 18646983574419129/20000000000000)
(-.f64 (+.f64 (.f64 130311870198853951/120000000000000 z) (+.f64 (.f64 -841870861561131653/720000000000000 (pow.f64 z 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 18646983574419129/20000000000000)
(/.f64 30223877537487/2500000000000 z)
(+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (.f64 30223877537487/2500000000000 (/.f64 1 z)))
(+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 30223877537487/2500000000000 (/.f64 1 z)) (*.f64 1183096179644721/5000000000000 (/.f64 1 (pow.f64 z 3)))))
(-.f64 (+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 30223877537487/2500000000000 (/.f64 1 z)) (.f64 1183096179644721/5000000000000 (/.f64 1 (pow.f64 z 3))))) (.f64 714212130605129/5000000000000 (/.f64 1 (pow.f64 z 4))))
(/.f64 30223877537487/2500000000000 z)
(+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (.f64 30223877537487/2500000000000 (/.f64 1 z)))
(+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 30223877537487/2500000000000 (/.f64 1 z)) (*.f64 1183096179644721/5000000000000 (/.f64 1 (pow.f64 z 3)))))
(-.f64 (+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 30223877537487/2500000000000 (/.f64 1 z)) (.f64 1183096179644721/5000000000000 (/.f64 1 (pow.f64 z 3))))) (.f64 714212130605129/5000000000000 (/.f64 1 (pow.f64 z 4))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 2) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (/.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 2) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))
(*.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))
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(/.f64 (+.f64 (.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2))) (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 2) (-.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (+.f64 z 3) 2)) (/.f64 -6811365493350374017225292011293/50000000000000000000000000 (.f64 (+.f64 z 2) (+.f64 z 3)))))) (.f64 (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z 2) 3)) (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (+.f64 z 3) 3))))) (.f64 (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 2) (-.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (+.f64 z 3) 2)) (/.f64 -6811365493350374017225292011293/50000000000000000000000000 (.f64 (+.f64 z 2) (+.f64 z 3)))))))
(/.f64 (+.f64 (.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2))) (.f64 (+.f64 z 2) (+.f64 z 3))) (.f64 (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (fma.f64 7713234287776531/10000000000000 (+.f64 z 3) (.f64 (+.f64 z 2) -883075145810703/5000000000000)))) (.f64 (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (*.f64 (+.f64 z 2) (+.f64 z 3))))
(/.f64 (+.f64 (.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.f64 z 1) 3))) (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) (.f64 (+.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (+.f64 z (.f64 z z))))) (-.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 2) (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (+.f64 z 3) 2))))) (.f64 (+.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (+.f64 z (*.f64 z z))))) (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))
(/.f64 (+.f64 (.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.f64 z 1) 3))) (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 2) (-.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (+.f64 z 3) 2)) (/.f64 -6811365493350374017225292011293/50000000000000000000000000 (.f64 (+.f64 z 2) (+.f64 z 3)))))) (.f64 (+.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (+.f64 z (.f64 z z))))) (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z 2) 3)) (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (+.f64 z 3) 3))))) (.f64 (+.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (+.f64 z (.f64 z z))))) (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 2) (-.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (+.f64 z 3) 2)) (/.f64 -6811365493350374017225292011293/50000000000000000000000000 (*.f64 (+.f64 z 2) (+.f64 z 3)))))))
(/.f64 (+.f64 (.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.f64 z 1) 3))) (.f64 (+.f64 z 2) (+.f64 z 3))) (.f64 (+.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (+.f64 z (.f64 z z))))) (fma.f64 7713234287776531/10000000000000 (+.f64 z 3) (.f64 (+.f64 z 2) -883075145810703/5000000000000)))) (.f64 (+.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (+.f64 z (.f64 z z))))) (.f64 (+.f64 z 2) (+.f64 z 3))))
(/.f64 (+.f64 (.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (.f64 z -3147848041806007/2500000000000)) (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) (.f64 (+.f64 z (.f64 z z)) (-.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 2) (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (+.f64 z 3) 2))))) (.f64 (+.f64 z (.f64 z z)) (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))
(/.f64 (+.f64 (.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (.f64 z -3147848041806007/2500000000000)) (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 2) (-.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (+.f64 z 3) 2)) (/.f64 -6811365493350374017225292011293/50000000000000000000000000 (.f64 (+.f64 z 2) (+.f64 z 3)))))) (.f64 (+.f64 z (.f64 z z)) (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z 2) 3)) (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (+.f64 z 3) 3))))) (.f64 (+.f64 z (.f64 z z)) (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 2) (-.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (+.f64 z 3) 2)) (/.f64 -6811365493350374017225292011293/50000000000000000000000000 (.f64 (+.f64 z 2) (+.f64 z 3)))))))
(/.f64 (+.f64 (.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (.f64 z -3147848041806007/2500000000000)) (.f64 (+.f64 z 2) (+.f64 z 3))) (.f64 (+.f64 z (.f64 z z)) (fma.f64 7713234287776531/10000000000000 (+.f64 z 3) (.f64 (+.f64 z 2) -883075145810703/5000000000000)))) (.f64 (+.f64 z (.f64 z z)) (*.f64 (+.f64 z 2) (+.f64 z 3))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 2) (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 2))) (neg.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 3) (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 2) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))))))
(pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))
(exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))
(fma.f64 7713234287776531/10000000000000 (/.f64 1 (+.f64 z 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(fma.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(fma.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(fma.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(fma.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) 2) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 2) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))

Outputs
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 18646983574419129/20000000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) -18646983574419129/20000000000000)
(-.f64 (+.f64 (.f64 130311870198853951/120000000000000 z) (.f64 6765203681218851/10000000000000 (/.f64 1 z))) 18646983574419129/20000000000000)
(+.f64 (fma.f64 130311870198853951/120000000000000 z (/.f64 6765203681218851/10000000000000 z)) -18646983574419129/20000000000000)
(+.f64 (fma.f64 z 130311870198853951/120000000000000 (/.f64 6765203681218851/10000000000000 z)) -18646983574419129/20000000000000)
(-.f64 (+.f64 (.f64 130311870198853951/120000000000000 z) (+.f64 (.f64 -841870861561131653/720000000000000 (pow.f64 z 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 18646983574419129/20000000000000)
(+.f64 (fma.f64 130311870198853951/120000000000000 z (fma.f64 -841870861561131653/720000000000000 (*.f64 z z) (/.f64 6765203681218851/10000000000000 z))) -18646983574419129/20000000000000)
(+.f64 (fma.f64 z 130311870198853951/120000000000000 (fma.f64 -841870861561131653/720000000000000 (*.f64 z z) (/.f64 6765203681218851/10000000000000 z))) -18646983574419129/20000000000000)
(/.f64 30223877537487/2500000000000 z)
(+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (.f64 30223877537487/2500000000000 (/.f64 1 z)))
(+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (/.f64 30223877537487/2500000000000 z))
(+.f64 (/.f64 (/.f64 153960904158449/625000000000 z) z) (/.f64 30223877537487/2500000000000 z))
(+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 30223877537487/2500000000000 (/.f64 1 z)) (*.f64 1183096179644721/5000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (+.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 1183096179644721/5000000000000 (pow.f64 z 3))))
(+.f64 (+.f64 (/.f64 (/.f64 153960904158449/625000000000 z) z) (/.f64 30223877537487/2500000000000 z)) (/.f64 1183096179644721/5000000000000 (pow.f64 z 3)))
(-.f64 (+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 30223877537487/2500000000000 (/.f64 1 z)) (.f64 1183096179644721/5000000000000 (/.f64 1 (pow.f64 z 3))))) (.f64 714212130605129/5000000000000 (/.f64 1 (pow.f64 z 4))))
(+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (-.f64 (+.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 1183096179644721/5000000000000 (pow.f64 z 3))) (/.f64 714212130605129/5000000000000 (pow.f64 z 4))))
(+.f64 (+.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 1183096179644721/5000000000000 (pow.f64 z 3))) (+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (/.f64 -714212130605129/5000000000000 (pow.f64 z 4))))
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(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))
(fma.f64 7713234287776531/10000000000000 (/.f64 1 (+.f64 z 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))
(fma.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))
(fma.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))
(fma.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))
(fma.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) 2) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 2) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))

localize242.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (.f64 z -3147848041806007/2500000000000)) (.f64 z (+.f64 z 1))))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
✓	0.9b	(fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (*.f64 z -3147848041806007/2500000000000))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.0b	(exp.f64 (-.f64 -13/2 z))

Compiler

Compiled 490 to 388 computations (20.8% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (.f64 z -3147848041806007/2500000000000)) (.f64 z (+.f64 z 1))))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
1.0ms	z	@	-inf	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (.f64 z -3147848041806007/2500000000000)) (.f64 z (+.f64 z 1))))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
1.0ms	z	@	inf	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (.f64 z -3147848041806007/2500000000000)) (.f64 z (+.f64 z 1))))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
0.0ms	z	@	inf	(fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (*.f64 z -3147848041806007/2500000000000))
0.0ms	z	@	-inf	(fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (*.f64 z -3147848041806007/2500000000000))

rewrite107.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1392×	`add-sqr-sqrt`
1322×	`add-exp-log`
1320×	`add-cbrt-cube`
1320×	`add-cube-cbrt`
1310×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	214
1	1359	214

Stop Event

1×	node limit

Counts

2 → 16

Calls

Call 1

Inputs

(fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (*.f64 z -3147848041806007/2500000000000))

(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (*.f64 z -3147848041806007/2500000000000)) (*.f64 z (+.f64 z 1))))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 6765203681218851/10000000000000 (+.f64 z 1)) (*.f64 z -3147848041806007/2500000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (*.f64 z -3147848041806007/2500000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (*.f64 z -3147848041806007/2500000000000))) (sqrt.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (*.f64 z -3147848041806007/2500000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (*.f64 z -3147848041806007/2500000000000))) (cbrt.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (*.f64 z -3147848041806007/2500000000000)))) (cbrt.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (*.f64 z -3147848041806007/2500000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (*.f64 z -3147848041806007/2500000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (*.f64 z -3147848041806007/2500000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (*.f64 z -3147848041806007/2500000000000)) (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (*.f64 z -3147848041806007/2500000000000))) (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (*.f64 z -3147848041806007/2500000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (*.f64 z -3147848041806007/2500000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (*.f64 z -3147848041806007/2500000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (*.f64 z -3147848041806007/2500000000000))))))))

((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (*.f64 z -3147848041806007/2500000000000)) (+.f64 (*.f64 z z) z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (*.f64 z 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simplify75.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1792×	`fma-def`
1084×	`times-frac`
966×	`associate-+r+`
872×	`*-commutative`
820×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	209	3128
1	570	2938
2	2160	2634

Stop Event

1×	node limit

Counts

40 → 58

Calls

Call 1

Inputs
6765203681218851/10000000000000
(+.f64 6765203681218851/10000000000000 (*.f64 -5826188486005177/10000000000000 z))
(+.f64 6765203681218851/10000000000000 (*.f64 -5826188486005177/10000000000000 z))
(+.f64 6765203681218851/10000000000000 (*.f64 -5826188486005177/10000000000000 z))
(*.f64 -5826188486005177/10000000000000 z)
(+.f64 6765203681218851/10000000000000 (*.f64 -5826188486005177/10000000000000 z))
(+.f64 6765203681218851/10000000000000 (*.f64 -5826188486005177/10000000000000 z))
(+.f64 6765203681218851/10000000000000 (*.f64 -5826188486005177/10000000000000 z))
(*.f64 -5826188486005177/10000000000000 z)
(+.f64 6765203681218851/10000000000000 (*.f64 -5826188486005177/10000000000000 z))
(+.f64 6765203681218851/10000000000000 (*.f64 -5826188486005177/10000000000000 z))
(+.f64 6765203681218851/10000000000000 (*.f64 -5826188486005177/10000000000000 z))
(.f64 6765203681218851/10000000000000 (/.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) z))
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(.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z)))))
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(+.f64 (.f64 611458333333720910362579/25000000000000000000000 (/.f64 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2))) z)) (+.f64 (.f64 4925021701373474946951247/25000000000000000000000 (/.f64 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2))) (pow.f64 z 2))) (.f64 9999999999998099/10000000000000000 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2))))))
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(+.f64 (.f64 6765203681218851/10000000000000 (+.f64 z 1)) (.f64 z -3147848041806007/2500000000000))
(.f64 1 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (.f64 z -3147848041806007/2500000000000)))
(.f64 (sqrt.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (.f64 z -3147848041806007/2500000000000))) (sqrt.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (*.f64 z -3147848041806007/2500000000000))))
(.f64 (.f64 (cbrt.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (.f64 z -3147848041806007/2500000000000))) (cbrt.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (.f64 z -3147848041806007/2500000000000)))) (cbrt.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (*.f64 z -3147848041806007/2500000000000))))
(pow.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (*.f64 z -3147848041806007/2500000000000)) 1)
(log.f64 (exp.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (*.f64 z -3147848041806007/2500000000000))))
(cbrt.f64 (.f64 (.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (.f64 z -3147848041806007/2500000000000)) (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (.f64 z -3147848041806007/2500000000000))) (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (*.f64 z -3147848041806007/2500000000000))))
(expm1.f64 (log1p.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (*.f64 z -3147848041806007/2500000000000))))
(exp.f64 (log.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (*.f64 z -3147848041806007/2500000000000))))
(log1p.f64 (expm1.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (*.f64 z -3147848041806007/2500000000000))))
(pow.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (.f64 z -3147848041806007/2500000000000)) (+.f64 (.f64 z z) z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 1)
(log.f64 (exp.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (.f64 z -3147848041806007/2500000000000)) (+.f64 (.f64 z z) z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))
(cbrt.f64 (.f64 (.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (.f64 z -3147848041806007/2500000000000)) (+.f64 (.f64 z z) z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (.f64 z -3147848041806007/2500000000000)) (+.f64 (.f64 z z) z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (.f64 z -3147848041806007/2500000000000)) (+.f64 (.f64 z z) z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (.f64 z -3147848041806007/2500000000000)) (+.f64 (.f64 z z) z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))
(exp.f64 (log.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (.f64 z -3147848041806007/2500000000000)) (+.f64 (.f64 z z) z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (.f64 z -3147848041806007/2500000000000)) (+.f64 (.f64 z z) z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))

Outputs
6765203681218851/10000000000000
(+.f64 6765203681218851/10000000000000 (*.f64 -5826188486005177/10000000000000 z))
(fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000)
(+.f64 6765203681218851/10000000000000 (*.f64 -5826188486005177/10000000000000 z))
(fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000)
(+.f64 6765203681218851/10000000000000 (*.f64 -5826188486005177/10000000000000 z))
(fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000)
(*.f64 -5826188486005177/10000000000000 z)
(+.f64 6765203681218851/10000000000000 (*.f64 -5826188486005177/10000000000000 z))
(fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000)
(+.f64 6765203681218851/10000000000000 (*.f64 -5826188486005177/10000000000000 z))
(fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000)
(+.f64 6765203681218851/10000000000000 (*.f64 -5826188486005177/10000000000000 z))
(fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000)
(*.f64 -5826188486005177/10000000000000 z)
(+.f64 6765203681218851/10000000000000 (*.f64 -5826188486005177/10000000000000 z))
(fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000)
(+.f64 6765203681218851/10000000000000 (*.f64 -5826188486005177/10000000000000 z))
(fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000)
(+.f64 6765203681218851/10000000000000 (*.f64 -5826188486005177/10000000000000 z))
(fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000)
(.f64 6765203681218851/10000000000000 (/.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) z))
(*.f64 6765203681218851/10000000000000 (/.f64 (sqrt.f64 2/13) (/.f64 z (exp.f64 -13/2))))
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(cbrt.f64 (.f64 (.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (.f64 z -3147848041806007/2500000000000)) (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (.f64 z -3147848041806007/2500000000000))) (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (*.f64 z -3147848041806007/2500000000000))))
(+.f64 6765203681218851/10000000000000 (*.f64 -5826188486005177/10000000000000 z))
(fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000)
(expm1.f64 (log1p.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (*.f64 z -3147848041806007/2500000000000))))
(+.f64 6765203681218851/10000000000000 (*.f64 -5826188486005177/10000000000000 z))
(fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000)
(exp.f64 (log.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (*.f64 z -3147848041806007/2500000000000))))
(+.f64 6765203681218851/10000000000000 (*.f64 -5826188486005177/10000000000000 z))
(fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000)
(log1p.f64 (expm1.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (*.f64 z -3147848041806007/2500000000000))))
(+.f64 6765203681218851/10000000000000 (*.f64 -5826188486005177/10000000000000 z))
(fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000)
(pow.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (.f64 z -3147848041806007/2500000000000)) (+.f64 (.f64 z z) z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 1)
(.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (*.f64 z -3147848041806007/2500000000000)) (fma.f64 z z z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 6765203681218851/10000000000000 z 6765203681218851/10000000000000)) (fma.f64 z z z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))))))))
(*.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(log.f64 (exp.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (.f64 z -3147848041806007/2500000000000)) (+.f64 (.f64 z z) z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))
(.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (*.f64 z -3147848041806007/2500000000000)) (fma.f64 z z z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 6765203681218851/10000000000000 z 6765203681218851/10000000000000)) (fma.f64 z z z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))))))))
(*.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(cbrt.f64 (.f64 (.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (.f64 z -3147848041806007/2500000000000)) (+.f64 (.f64 z z) z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (.f64 z -3147848041806007/2500000000000)) (+.f64 (.f64 z z) z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (.f64 z -3147848041806007/2500000000000)) (+.f64 (.f64 z z) z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))
(.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (*.f64 z -3147848041806007/2500000000000)) (fma.f64 z z z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 6765203681218851/10000000000000 z 6765203681218851/10000000000000)) (fma.f64 z z z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))))))))
(*.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (.f64 z -3147848041806007/2500000000000)) (+.f64 (.f64 z z) z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))
(.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (*.f64 z -3147848041806007/2500000000000)) (fma.f64 z z z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 6765203681218851/10000000000000 z 6765203681218851/10000000000000)) (fma.f64 z z z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))))))))
(*.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(exp.f64 (log.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (.f64 z -3147848041806007/2500000000000)) (+.f64 (.f64 z z) z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))
(.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (*.f64 z -3147848041806007/2500000000000)) (fma.f64 z z z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 6765203681218851/10000000000000 z 6765203681218851/10000000000000)) (fma.f64 z z z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))))))))
(*.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (.f64 z -3147848041806007/2500000000000)) (+.f64 (.f64 z z) z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))
(.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (*.f64 z -3147848041806007/2500000000000)) (fma.f64 z z z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 6765203681218851/10000000000000 z 6765203681218851/10000000000000)) (fma.f64 z z z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))))))))
(*.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))

localize315.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.8b	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.0b	(exp.f64 (+.f64 z 13/2))
✓	1.5b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))

Compiler

Compiled 670 to 549 computations (18.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))

0.0ms

inf

(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))

0.0ms

-inf

(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))

rewrite140.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1100×	`add-sqr-sqrt`
1050×	`add-exp-log`
1050×	`add-cbrt-cube`
1050×	`add-log-exp`
1050×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	139
1	1069	139

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs

(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 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(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 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(+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 3)) (+.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (-.f64 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))))))))

simplify90.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1122×	`associate-r`
958×	`associate-+r+`
920×	`associate-+r-`
916×	`associate-l`
844×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	99	2403
1	267	2395
2	1183	2113
3	5879	2113

Stop Event

1×	node limit

Counts

23 → 40

Calls

Call 1

Inputs
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 487331279103252896793517613/525000000000000000000000)
(-.f64 (+.f64 (.f64 6765203681218851/10000000000000 (/.f64 1 z)) (.f64 373870182501661212981625127/344531250000000000000000 z)) 487331279103252896793517613/525000000000000000000000)
(-.f64 (+.f64 (.f64 -541338218559767156914609007209/463050000000000000000000000 (pow.f64 z 2)) (+.f64 (.f64 6765203681218851/10000000000000 (/.f64 1 z)) (*.f64 373870182501661212981625127/344531250000000000000000 z))) 487331279103252896793517613/525000000000000000000000)
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)) (.f64 4925021701373474946951247/25000000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 (.f64 10831820445529922198405471/25000000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)) (*.f64 4925021701373474946951247/25000000000000000000000 (/.f64 1 (pow.f64 z 2))))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)) (.f64 4925021701373474946951247/25000000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 (.f64 10831820445529922198405471/25000000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)) (*.f64 4925021701373474946951247/25000000000000000000000 (/.f64 1 (pow.f64 z 2))))))
(*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))) (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))))
(.f64 (.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))))
(/.f64 (-.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 3)) (+.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (-.f64 (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))))
(pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) 1)
(log.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))))
(cbrt.f64 (.f64 (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))))
(exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))))

Outputs
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 487331279103252896793517613/525000000000000000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) -487331279103252896793517613/525000000000000000000000)
(-.f64 (+.f64 (.f64 6765203681218851/10000000000000 (/.f64 1 z)) (.f64 373870182501661212981625127/344531250000000000000000 z)) 487331279103252896793517613/525000000000000000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (*.f64 z 373870182501661212981625127/344531250000000000000000) 487331279103252896793517613/525000000000000000000000))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z 373870182501661212981625127/344531250000000000000000 -487331279103252896793517613/525000000000000000000000))
(-.f64 (+.f64 (.f64 -541338218559767156914609007209/463050000000000000000000000 (pow.f64 z 2)) (+.f64 (.f64 6765203681218851/10000000000000 (/.f64 1 z)) (*.f64 373870182501661212981625127/344531250000000000000000 z))) 487331279103252896793517613/525000000000000000000000)
(+.f64 (fma.f64 -541338218559767156914609007209/463050000000000000000000000 (.f64 z z) (+.f64 (/.f64 6765203681218851/10000000000000 z) (.f64 z 373870182501661212981625127/344531250000000000000000))) -487331279103252896793517613/525000000000000000000000)
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9999999999998099/10000000000000000
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eval1.4s (6%)

Compiler: Compiled 60404 to 49543 computations (18% saved)

prune940.0ms (4%)

Pruning

137 alts after pruning (133 fresh and 4 done)

	Pruned	Kept	Total
New	800	47	847
Fresh	26	86	112
Picked	1	0	1
Done	2	4	6
Total	829	137	966

Error

0.3b

Counts

966 → 137

Alt Table

Click to see full alt table

Status	Error	Program
	55.4b	(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (exp.f64 -13/2)) (/.f64 z (sqrt.f64 2/13)))
	55.4b	(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (/.f64 z (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13))))
	55.4b	(/.f64 (.f64 6765203681218851/10000000000000 (exp.f64 -13/2)) (/.f64 (/.f64 z (sqrt.f64 2/13)) (sqrt.f64 (.f64 (PI.f64) 2))))
	2.6b	(.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (+.f64 z 13/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
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	53.2b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 (-.f64 -13/2 z) (.f64 (log.f64 (+.f64 z 13/2)) (-.f64 1/2 z))))))
	3.6b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (expm1.f64 (log1p.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 6765203681218851/10000000000000 (+.f64 z 1) (.f64 z -3147848041806007/2500000000000)) (+.f64 (.f64 z z) z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))))
	3.6b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (log.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))))
	3.6b	(.f64 (exp.f64 (log.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	55.4b	(.f64 6765203681218851/10000000000000 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -13/2) (/.f64 (sqrt.f64 2/13) z))))
	55.4b	(sqrt.f64 (/.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (*.f64 z (/.f64 z 2/13))))
▶	55.4b	(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (/.f64 (exp.f64 -13) z)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
	55.4b	(sqrt.f64 (.f64 (.f64 (PI.f64) 2) (*.f64 45767980848377092942628957760201/100000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 z (/.f64 2/13 z))))))
	55.4b	(sqrt.f64 (.f64 (PI.f64) (.f64 2 (/.f64 (.f64 45767980848377092942628957760201/100000000000000000000000000 (exp.f64 -13)) (.f64 (/.f64 z 2/13) z)))))

Compiler

Compiled 20902 to 17386 computations (16.8% saved)

localize195.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (*.f64 z (+.f64 z 1))))
✓	0.8b	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (*.f64 z (+.f64 z 1))))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.0b	(exp.f64 (-.f64 -13/2 z))

Compiler

Compiled 455 to 362 computations (20.4% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (*.f64 z (+.f64 z 1))))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
1.0ms	z	@	-inf	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (*.f64 z (+.f64 z 1))))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
0.0ms	z	@	inf	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (*.f64 z (+.f64 z 1))))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
0.0ms	z	@	-inf	(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (*.f64 z (+.f64 z 1))))
0.0ms	z	@	inf	(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (*.f64 z (+.f64 z 1))))

rewrite116.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1372×	`add-sqr-sqrt`
1304×	`add-exp-log`
1302×	`add-cbrt-cube`
1302×	`add-cube-cbrt`
1290×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	226
1	1339	226

Stop Event

1×	node limit

Counts

2 → 18

Calls

Call 1

Inputs

(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (*.f64 z (+.f64 z 1))))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))

(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (*.f64 z (+.f64 z 1))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (+.f64 (*.f64 z z) z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (+.f64 (*.f64 z z) z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (+.f64 (*.f64 z z) z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (+.f64 (*.f64 z z) z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (+.f64 (*.f64 z z) z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (+.f64 (*.f64 z z) z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (+.f64 (*.f64 z z) z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (+.f64 (*.f64 z z) z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))))))

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (+.f64 (*.f64 z z) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (+.f64 (*.f64 z z) z)))) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (+.f64 (*.f64 z z) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (+.f64 (*.f64 z z) z)))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (+.f64 (*.f64 z z) z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (+.f64 (*.f64 z z) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (*.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (+.f64 (*.f64 z z) z)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (+.f64 (*.f64 z z) z)))) (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (+.f64 (*.f64 z z) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 3) (pow.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (+.f64 (*.f64 z z) z)) 3)) (+.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 (*.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (+.f64 (*.f64 z z) z)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (+.f64 (*.f64 z z) z))) (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (+.f64 (*.f64 z z) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 7713234287776531/10000000000000 (+.f64 (*.f64 z z) z)) (*.f64 (+.f64 z 2) (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000))) (*.f64 (+.f64 z 2) (+.f64 (*.f64 z z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (+.f64 (*.f64 z z) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (+.f64 (*.f64 z z) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (+.f64 (*.f64 z z) z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (+.f64 (*.f64 z z) z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (+.f64 (*.f64 z z) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (+.f64 (*.f64 z z) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (+.f64 (*.f64 z z) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (+.f64 (*.f64 z z) z)))))))))

simplify98.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1526×	`associate-+r+`
1380×	`associate-+l+`
1046×	`associate-*r/`
966×	`+-commutative`
860×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	242	4754
1	779	4030
2	3010	4024

Stop Event

1×	node limit

Counts

42 → 99

Calls

Call 1

Inputs
(.f64 6765203681218851/10000000000000 (/.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) z))
(+.f64 (.f64 -487331279103252896793517613/525000000000000000000000 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 6765203681218851/10000000000000 (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))))) (.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) z))))
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(log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (+.f64 (*.f64 z z) z)))))

Outputs
(.f64 6765203681218851/10000000000000 (/.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) z))
(*.f64 6765203681218851/10000000000000 (/.f64 (sqrt.f64 2/13) (/.f64 z (exp.f64 -13/2))))
(.f64 6765203681218851/10000000000000 (.f64 (/.f64 (sqrt.f64 2/13) z) (exp.f64 -13/2)))
(/.f64 6765203681218851/10000000000000 (/.f64 (/.f64 z (sqrt.f64 2/13)) (exp.f64 -13/2)))
(+.f64 (.f64 -487331279103252896793517613/525000000000000000000000 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 6765203681218851/10000000000000 (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))))) (.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) z))))
(fma.f64 -487331279103252896793517613/525000000000000000000000 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (.f64 6765203681218851/10000000000000 (+.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) (/.f64 (sqrt.f64 2/13) (/.f64 z (exp.f64 -13/2))))))
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(/.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z 2) 3)) (pow.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) 3)) (fma.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (*.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (-.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))
(/.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z 2) 3)) (pow.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) 3)) (fma.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (/.f64 -7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (+.f64 z 2)) (+.f64 z 2))))
(/.f64 (+.f64 (.f64 7713234287776531/10000000000000 (+.f64 (.f64 z z) z)) (.f64 (+.f64 z 2) (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000))) (.f64 (+.f64 z 2) (+.f64 (*.f64 z z) z)))
(/.f64 (fma.f64 7713234287776531/10000000000000 (fma.f64 z z z) (.f64 (+.f64 z 2) (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000))) (.f64 (+.f64 z 2) (fma.f64 z z z)))
(/.f64 (fma.f64 (+.f64 z 2) (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (.f64 7713234287776531/10000000000000 (fma.f64 z z z))) (.f64 (+.f64 z 2) (fma.f64 z z z)))
(pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (+.f64 (*.f64 z z) z))) 1)
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))
(log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (+.f64 (*.f64 z z) z)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))
(cbrt.f64 (.f64 (.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (+.f64 (.f64 z z) z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (+.f64 (.f64 z z) z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (+.f64 (*.f64 z z) z)))))
(cbrt.f64 (.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z))) (.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (+.f64 (*.f64 z z) z)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))
(exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (+.f64 (*.f64 z z) z)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (+.f64 (*.f64 z z) z)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (exp.f64 -13) z)
✓	0.3b	(.f64 (.f64 (/.f64 2/13 z) (/.f64 (exp.f64 -13) z)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000))
✓	0.3b	(*.f64 (/.f64 2/13 z) (/.f64 (exp.f64 -13) z))
✓	0.4b	(/.f64 2/13 z)

Compiler

Compiled 51 to 39 computations (23.5% saved)

series4.0ms (0%)

Counts

4 → 24

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(*.f64 (/.f64 2/13 z) (/.f64 (exp.f64 -13) z))
1.0ms	z	@	0	(.f64 (.f64 (/.f64 2/13 z) (/.f64 (exp.f64 -13) z)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000))
0.0ms	z	@	inf	(.f64 (.f64 (/.f64 2/13 z) (/.f64 (exp.f64 -13) z)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000))
0.0ms	z	@	inf	(*.f64 (/.f64 2/13 z) (/.f64 (exp.f64 -13) z))
0.0ms	z	@	inf	(/.f64 2/13 z)

rewrite153.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1588×	`associate-/r*`
1086×	`associate-/l*`
312×	`add-sqr-sqrt`
298×	`pow1`
298×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	78
1	316	78
2	3924	78

Stop Event

1×	node limit

Counts

4 → 296

Calls

Call 1

Inputs
(/.f64 2/13 z)
(*.f64 (/.f64 2/13 z) (/.f64 (exp.f64 -13) z))
(.f64 (.f64 (/.f64 2/13 z) (/.f64 (exp.f64 -13) z)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000))
(/.f64 (exp.f64 -13) z)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2/13 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2/13 (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2/13 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 2/13 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 2/13 z)) (sqrt.f64 (/.f64 2/13 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 2/13 z)) (pow.f64 (cbrt.f64 (/.f64 2/13 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 2/13 z)) 2) (cbrt.f64 (/.f64 2/13 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 z) 2/13)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2/13 (/.f64 -1 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 z)) (/.f64 2/13 (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 2/13 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 z) -2/13)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2/13 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2/13 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2/13 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2/13 z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 z 13/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4/169 (.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2/13 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2/13 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2/13 z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2/13 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2/13 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 2/13 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2/13 z)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2/13 (/.f64 (.f64 z z) (exp.f64 -13))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2/13 (/.f64 (.f64 z z) (exp.f64 -13)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2/13 (.f64 z (/.f64 z (exp.f64 -13))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2/13 (/.f64 (.f64 z (neg.f64 z)) (neg.f64 (exp.f64 -13))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2/13 z) (/.f64 z (exp.f64 -13)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 -13) (.f64 z (.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 -13) (.f64 (.f64 z 13/2) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 -13) (/.f64 (.f64 z z) 2/13))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 -13) (/.f64 z (/.f64 2/13 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 -13) (/.f64 (.f64 z 13/2) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 -13) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 -13) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (exp.f64 -13) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (exp.f64 -13) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (exp.f64 -13) z)) (sqrt.f64 (/.f64 (exp.f64 -13) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (exp.f64 -13)) (.f64 (sqrt.f64 (exp.f64 -13)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (exp.f64 -13) z)) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 -13) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 -13) z)) 2) (cbrt.f64 (/.f64 (exp.f64 -13) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (exp.f64 -26)) (.f64 (cbrt.f64 (exp.f64 -13)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 z) (exp.f64 -13))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (exp.f64 -13)) (/.f64 -1 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (exp.f64 -13) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (exp.f64 -13) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 z) (neg.f64 (exp.f64 -13)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (exp.f64 -13)) 1) (/.f64 (sqrt.f64 (exp.f64 -13)) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (exp.f64 -13)) z) (sqrt.f64 (exp.f64 -13)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (exp.f64 -13)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (exp.f64 -13)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (exp.f64 -26)) 1) (/.f64 (cbrt.f64 (exp.f64 -13)) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (exp.f64 -26)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (exp.f64 -13)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (exp.f64 -26)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (exp.f64 -13) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (exp.f64 -26)) z) (cbrt.f64 (exp.f64 -13)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 z (cbrt.f64 (exp.f64 -26)))) (cbrt.f64 (exp.f64 -13)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 -13) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (exp.f64 -13) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (exp.f64 -13) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 -13) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (exp.f64 -13)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (exp.f64 -13) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (/.f64 (exp.f64 -13) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (exp.f64 -13) (/.f64 -1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 1 (/.f64 (exp.f64 -13) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (exp.f64 -26) (.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (exp.f64 -13) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 -13) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (exp.f64 -13) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (exp.f64 -13) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (exp.f64 -13) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 -13 (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (-.f64 -13 (log.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 -13) z)))))))

simplify120.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1340×	`associate-/l/`
1306×	`associate-/r*`
1034×	`associate-l`
1016×	`associate-r`
852×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	699	10510
1	1934	10220

Stop Event

1×	node limit

Counts

320 → 426

Calls

Call 1

Inputs
(*.f64 2/13 (/.f64 (exp.f64 -13) (pow.f64 z 2)))
(*.f64 2/13 (/.f64 (exp.f64 -13) (pow.f64 z 2)))
(*.f64 2/13 (/.f64 (exp.f64 -13) (pow.f64 z 2)))
(*.f64 2/13 (/.f64 (exp.f64 -13) (pow.f64 z 2)))
(*.f64 2/13 (/.f64 (exp.f64 -13) (pow.f64 z 2)))
(*.f64 2/13 (/.f64 (exp.f64 -13) (pow.f64 z 2)))
(*.f64 2/13 (/.f64 (exp.f64 -13) (pow.f64 z 2)))
(*.f64 2/13 (/.f64 (exp.f64 -13) (pow.f64 z 2)))
(*.f64 2/13 (/.f64 (exp.f64 -13) (pow.f64 z 2)))
(*.f64 2/13 (/.f64 (exp.f64 -13) (pow.f64 z 2)))
(*.f64 2/13 (/.f64 (exp.f64 -13) (pow.f64 z 2)))
(*.f64 2/13 (/.f64 (exp.f64 -13) (pow.f64 z 2)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (.f64 (exp.f64 -13) (PI.f64)) (pow.f64 z 2)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (.f64 (exp.f64 -13) (PI.f64)) (pow.f64 z 2)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (.f64 (exp.f64 -13) (PI.f64)) (pow.f64 z 2)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (.f64 (exp.f64 -13) (PI.f64)) (pow.f64 z 2)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (.f64 (exp.f64 -13) (PI.f64)) (pow.f64 z 2)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (.f64 (exp.f64 -13) (PI.f64)) (pow.f64 z 2)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (.f64 (exp.f64 -13) (PI.f64)) (pow.f64 z 2)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (.f64 (exp.f64 -13) (PI.f64)) (pow.f64 z 2)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (.f64 (exp.f64 -13) (PI.f64)) (pow.f64 z 2)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (.f64 (exp.f64 -13) (PI.f64)) (pow.f64 z 2)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (.f64 (exp.f64 -13) (PI.f64)) (pow.f64 z 2)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (.f64 (exp.f64 -13) (PI.f64)) (pow.f64 z 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2/13 z))) 1)
(*.f64 2/13 (/.f64 1 z))
(*.f64 (/.f64 2/13 z) 1)
(*.f64 1 (/.f64 2/13 z))
(*.f64 (sqrt.f64 (/.f64 2/13 z)) (sqrt.f64 (/.f64 2/13 z)))
(*.f64 (cbrt.f64 (/.f64 2/13 z)) (pow.f64 (cbrt.f64 (/.f64 2/13 z)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2/13 z)) 2) (cbrt.f64 (/.f64 2/13 z)))
(*.f64 (/.f64 1 z) 2/13)
(*.f64 -2/13 (/.f64 -1 z))
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 2/13 (sqrt.f64 z)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 2/13 (cbrt.f64 z)))
(*.f64 (/.f64 -1 z) -2/13)
(pow.f64 (/.f64 2/13 z) 1)
(pow.f64 (sqrt.f64 (/.f64 2/13 z)) 2)
(pow.f64 (cbrt.f64 (/.f64 2/13 z)) 3)
(pow.f64 (pow.f64 (/.f64 2/13 z) 3) 1/3)
(pow.f64 (*.f64 z 13/2) -1)
(sqrt.f64 (/.f64 4/169 (*.f64 z z)))
(log.f64 (exp.f64 (/.f64 2/13 z)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2/13 z))))
(cbrt.f64 (pow.f64 (/.f64 2/13 z) 3))
(expm1.f64 (log1p.f64 (/.f64 2/13 z)))
(exp.f64 (log.f64 (/.f64 2/13 z)))
(exp.f64 (*.f64 (log.f64 (/.f64 2/13 z)) 1))
(log1p.f64 (expm1.f64 (/.f64 2/13 z)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2/13 (/.f64 (*.f64 z z) (exp.f64 -13))))) 1)
(/.f64 2/13 (/.f64 (*.f64 z z) (exp.f64 -13)))
(/.f64 2/13 (*.f64 z (/.f64 z (exp.f64 -13))))
(/.f64 2/13 (/.f64 (*.f64 z (neg.f64 z)) (neg.f64 (exp.f64 -13))))
(/.f64 (/.f64 2/13 z) (/.f64 z (exp.f64 -13)))
(/.f64 (exp.f64 -13) (.f64 z (.f64 z 13/2)))
(/.f64 (exp.f64 -13) (.f64 (.f64 z 13/2) z))
(/.f64 (exp.f64 -13) (/.f64 (*.f64 z z) 2/13))
(/.f64 (exp.f64 -13) (/.f64 z (/.f64 2/13 z)))
(/.f64 (exp.f64 -13) (/.f64 (*.f64 z 13/2) (/.f64 1 z)))
(/.f64 (exp.f64 -13) (/.f64 (.f64 z (.f64 z 13/2)) 1))
(/.f64 (exp.f64 -13) (/.f64 (.f64 (.f64 z 13/2) z) 1))
(/.f64 (exp.f64 -13) (/.f64 (*.f64 z (neg.f64 z)) -2/13))
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(/.f64 (/.f64 2/13 (/.f64 (*.f64 z z) (exp.f64 -13))) 1)
(/.f64 1 (.f64 (/.f64 z (exp.f64 -13)) (.f64 z 13/2)))
(/.f64 1 (/.f64 (.f64 z (.f64 z 13/2)) (exp.f64 -13)))
(/.f64 1 (/.f64 (.f64 (.f64 z 13/2) z) (exp.f64 -13)))
(/.f64 1 (/.f64 (.f64 (.f64 z 13/2) (neg.f64 z)) (neg.f64 (exp.f64 -13))))
(/.f64 (sqrt.f64 (/.f64 (exp.f64 -13) z)) (/.f64 (*.f64 z 13/2) (sqrt.f64 (/.f64 (exp.f64 -13) z))))
(/.f64 (sqrt.f64 (exp.f64 -13)) (/.f64 (.f64 z (.f64 z 13/2)) (sqrt.f64 (exp.f64 -13))))
(/.f64 (sqrt.f64 (exp.f64 -13)) (/.f64 (.f64 (.f64 z 13/2) z) (sqrt.f64 (exp.f64 -13))))
(/.f64 (sqrt.f64 (exp.f64 -13)) (/.f64 (.f64 z 13/2) (.f64 (sqrt.f64 (exp.f64 -13)) (/.f64 1 z))))
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(/.f64 (sqrt.f64 (exp.f64 -13)) (.f64 (.f64 z 13/2) (/.f64 z (sqrt.f64 (exp.f64 -13)))))
(/.f64 (sqrt.f64 (/.f64 2/13 z)) (/.f64 (/.f64 z (exp.f64 -13)) (sqrt.f64 (/.f64 2/13 z))))
(/.f64 (sqrt.f64 (/.f64 2/13 z)) (/.f64 z (*.f64 (sqrt.f64 (/.f64 2/13 z)) (exp.f64 -13))))
(/.f64 (cbrt.f64 (/.f64 (exp.f64 -13) z)) (/.f64 (*.f64 z 13/2) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 -13) z)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 -13) z)) 2) (/.f64 (*.f64 z 13/2) (cbrt.f64 (/.f64 (exp.f64 -13) z))))
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(/.f64 (cbrt.f64 (exp.f64 -13)) (/.f64 (.f64 (.f64 z 13/2) z) (cbrt.f64 (exp.f64 -26))))
(/.f64 (cbrt.f64 (exp.f64 -26)) (/.f64 (.f64 z (.f64 z 13/2)) (cbrt.f64 (exp.f64 -13))))
(/.f64 (cbrt.f64 (exp.f64 -26)) (/.f64 (.f64 (.f64 z 13/2) z) (cbrt.f64 (exp.f64 -13))))
(/.f64 (cbrt.f64 (exp.f64 -26)) (/.f64 (.f64 z 13/2) (.f64 (cbrt.f64 (exp.f64 -13)) (/.f64 1 z))))
(/.f64 (cbrt.f64 (exp.f64 -26)) (/.f64 (.f64 (.f64 z 13/2) (neg.f64 z)) (neg.f64 (cbrt.f64 (exp.f64 -13)))))
(/.f64 (cbrt.f64 (exp.f64 -26)) (.f64 (.f64 z 13/2) (/.f64 z (cbrt.f64 (exp.f64 -13)))))
(/.f64 (cbrt.f64 (/.f64 2/13 z)) (/.f64 (/.f64 z (exp.f64 -13)) (pow.f64 (cbrt.f64 (/.f64 2/13 z)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 2/13 z)) 2) (/.f64 (/.f64 z (exp.f64 -13)) (cbrt.f64 (/.f64 2/13 z))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 2/13 z)) 2) (/.f64 z (*.f64 (cbrt.f64 (/.f64 2/13 z)) (exp.f64 -13))))
(/.f64 (*.f64 2/13 (/.f64 (exp.f64 -13) z)) z)
(/.f64 (/.f64 1 z) (/.f64 (*.f64 z 13/2) (exp.f64 -13)))
(/.f64 (/.f64 1 z) (/.f64 (/.f64 z (exp.f64 -13)) 2/13))
(/.f64 (.f64 2/13 (exp.f64 -13)) (.f64 z z))
(/.f64 (*.f64 2/13 (exp.f64 -13)) (/.f64 z (/.f64 1 z)))
(/.f64 (neg.f64 (exp.f64 -13)) (.f64 (.f64 z 13/2) (neg.f64 z)))
(/.f64 (neg.f64 (exp.f64 -13)) (.f64 (neg.f64 z) (.f64 z 13/2)))
(/.f64 (neg.f64 (exp.f64 -13)) (/.f64 (*.f64 z 13/2) (/.f64 -1 z)))
(/.f64 (neg.f64 (exp.f64 -13)) (/.f64 (neg.f64 z) (/.f64 2/13 z)))
(/.f64 (neg.f64 (exp.f64 -13)) (/.f64 (.f64 (neg.f64 z) (.f64 z 13/2)) 1))
(/.f64 (neg.f64 (exp.f64 -13)) (/.f64 (*.f64 z (neg.f64 z)) 2/13))
(/.f64 (neg.f64 (exp.f64 -13)) (/.f64 (*.f64 (neg.f64 z) (neg.f64 z)) -2/13))
(/.f64 -2/13 (*.f64 (/.f64 z (exp.f64 -13)) (neg.f64 z)))
(/.f64 -2/13 (*.f64 (neg.f64 z) (/.f64 z (exp.f64 -13))))
(/.f64 -2/13 (/.f64 (/.f64 z (exp.f64 -13)) (/.f64 -1 z)))
(/.f64 -2/13 (/.f64 (*.f64 z (neg.f64 z)) (exp.f64 -13)))
(/.f64 -2/13 (/.f64 (neg.f64 z) (/.f64 (exp.f64 -13) z)))
(/.f64 -2/13 (/.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (neg.f64 (exp.f64 -13))))
(/.f64 (sqrt.f64 (.f64 2/13 (exp.f64 -13))) (/.f64 (.f64 z z) (sqrt.f64 (*.f64 2/13 (exp.f64 -13)))))
(/.f64 (sqrt.f64 (neg.f64 (exp.f64 -13))) (/.f64 (.f64 (.f64 z 13/2) (neg.f64 z)) (sqrt.f64 (neg.f64 (exp.f64 -13)))))
(/.f64 (sqrt.f64 (.f64 2/13 (/.f64 (exp.f64 -13) z))) (/.f64 z (sqrt.f64 (.f64 2/13 (/.f64 (exp.f64 -13) z)))))
(/.f64 (.f64 (cbrt.f64 (.f64 2/13 (exp.f64 -13))) (cbrt.f64 (.f64 2/13 (exp.f64 -13)))) (/.f64 (.f64 z z) (cbrt.f64 (*.f64 2/13 (exp.f64 -13)))))
(/.f64 (.f64 (cbrt.f64 (neg.f64 (exp.f64 -13))) (cbrt.f64 (neg.f64 (exp.f64 -13)))) (/.f64 (.f64 (*.f64 z 13/2) (neg.f64 z)) (cbrt.f64 (neg.f64 (exp.f64 -13)))))
(/.f64 (.f64 (cbrt.f64 (.f64 2/13 (/.f64 (exp.f64 -13) z))) (cbrt.f64 (.f64 2/13 (/.f64 (exp.f64 -13) z)))) (/.f64 z (cbrt.f64 (.f64 2/13 (/.f64 (exp.f64 -13) z)))))
(/.f64 (.f64 2/13 (sqrt.f64 (exp.f64 -13))) (/.f64 (.f64 z z) (sqrt.f64 (exp.f64 -13))))
(/.f64 (.f64 2/13 (cbrt.f64 (exp.f64 -26))) (/.f64 (.f64 z z) (cbrt.f64 (exp.f64 -13))))
(/.f64 (*.f64 2/13 (sqrt.f64 (/.f64 (exp.f64 -13) z))) (/.f64 z (sqrt.f64 (/.f64 (exp.f64 -13) z))))
(/.f64 (*.f64 2/13 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 -13) z)) 2)) (/.f64 z (cbrt.f64 (/.f64 (exp.f64 -13) z))))
(/.f64 (*.f64 (/.f64 2/13 z) (sqrt.f64 (exp.f64 -13))) (/.f64 z (sqrt.f64 (exp.f64 -13))))
(/.f64 (*.f64 (/.f64 2/13 z) (cbrt.f64 (exp.f64 -26))) (/.f64 z (cbrt.f64 (exp.f64 -13))))
(/.f64 (.f64 (exp.f64 -13) -2/13) (.f64 z (neg.f64 z)))
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(/.f64 (/.f64 (exp.f64 -13) (sqrt.f64 z)) (.f64 (.f64 z 13/2) (sqrt.f64 z)))
(/.f64 (/.f64 (exp.f64 -13) (pow.f64 (cbrt.f64 z) 2)) (.f64 (.f64 z 13/2) (cbrt.f64 z)))
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(/.f64 (/.f64 2/13 (sqrt.f64 z)) (*.f64 (/.f64 z (exp.f64 -13)) (sqrt.f64 z)))
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(/.f64 (/.f64 (.f64 -2/13 (.f64 (/.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13))) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(/.f64 (/.f64 (.f64 (.f64 2/13 (/.f64 (exp.f64 -13) z)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)) 1) z)
(/.f64 (/.f64 (.f64 (.f64 2/13 (/.f64 (exp.f64 -13) z)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (/.f64 (.f64 (.f64 2/13 (/.f64 (exp.f64 -13) z)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2))
(/.f64 (/.f64 (.f64 (.f64 2/13 (/.f64 (exp.f64 -13) z)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(/.f64 (/.f64 (.f64 (.f64 2/13 (exp.f64 -13)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)) z) z)
(/.f64 (/.f64 (.f64 (.f64 2/13 (exp.f64 -13)) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)) 1) (.f64 z z))
(/.f64 (/.f64 (.f64 (.f64 2/13 (exp.f64 -13)) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)) (sqrt.f64 z)) (.f64 (sqrt.f64 z) z))
(/.f64 (/.f64 (.f64 (.f64 2/13 (exp.f64 -13)) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)) (pow.f64 (cbrt.f64 z) 2)) (.f64 (cbrt.f64 z) z))
(/.f64 (/.f64 (.f64 (.f64 2/13 (exp.f64 -13)) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)) (.f64 z (sqrt.f64 z))) (sqrt.f64 z))
(/.f64 (/.f64 (.f64 (.f64 2/13 (exp.f64 -13)) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)) (.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 z) 2))) (pow.f64 (cbrt.f64 z) 2))
(/.f64 (/.f64 (.f64 (.f64 2/13 (exp.f64 -13)) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)) (.f64 z (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(pow.f64 (.f64 (/.f64 2/13 z) (.f64 (/.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13))) 1)
(pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)) (/.f64 (sqrt.f64 (*.f64 2/13 (exp.f64 -13))) z)) 2)
(pow.f64 (cbrt.f64 (.f64 (/.f64 2/13 z) (.f64 (/.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13)))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 2/13 z) (.f64 (/.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13))) 3) 1/3)
(neg.f64 (.f64 (/.f64 (exp.f64 -13) (neg.f64 z)) (.f64 (/.f64 2/13 z) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000))))
(neg.f64 (.f64 (.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (/.f64 2/13 z)) (/.f64 (exp.f64 -13) (neg.f64 z))))
(sqrt.f64 (pow.f64 (.f64 (/.f64 2/13 z) (.f64 (/.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 45767980848377092942628957760201/50000000000000000000000000) (/.f64 2/13 (/.f64 (*.f64 z z) (exp.f64 -13)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 2/13 z) (.f64 (/.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13))))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 2/13 z) (.f64 (/.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13))) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 2/13 (/.f64 (.f64 z z) (exp.f64 -13))) 3) (pow.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) 3) (pow.f64 (/.f64 2/13 (/.f64 (*.f64 z z) (exp.f64 -13))) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 2/13 z) (.f64 (/.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13)))))
(exp.f64 (log.f64 (.f64 (/.f64 2/13 z) (.f64 (/.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13)))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 2/13 z) (.f64 (/.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13)))) 1))
(log1p.f64 (expm1.f64 (.f64 (/.f64 2/13 z) (.f64 (/.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 -13) z))) 1)
(*.f64 (exp.f64 -13) (/.f64 1 z))
(*.f64 (/.f64 (exp.f64 -13) z) 1)
(*.f64 1 (/.f64 (exp.f64 -13) z))
(*.f64 (sqrt.f64 (/.f64 (exp.f64 -13) z)) (sqrt.f64 (/.f64 (exp.f64 -13) z)))
(.f64 (sqrt.f64 (exp.f64 -13)) (.f64 (sqrt.f64 (exp.f64 -13)) (/.f64 1 z)))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 -13) z)) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 -13) z)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 -13) z)) 2) (cbrt.f64 (/.f64 (exp.f64 -13) z)))
(.f64 (cbrt.f64 (exp.f64 -26)) (.f64 (cbrt.f64 (exp.f64 -13)) (/.f64 1 z)))
(*.f64 (/.f64 1 z) (exp.f64 -13))
(*.f64 (neg.f64 (exp.f64 -13)) (/.f64 -1 z))
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (exp.f64 -13) (sqrt.f64 z)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (exp.f64 -13) (cbrt.f64 z)))
(*.f64 (/.f64 -1 z) (neg.f64 (exp.f64 -13)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 -13)) 1) (/.f64 (sqrt.f64 (exp.f64 -13)) z))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 -13)) z) (sqrt.f64 (exp.f64 -13)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 -13)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (exp.f64 -13)) (cbrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 -26)) 1) (/.f64 (cbrt.f64 (exp.f64 -13)) z))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 -26)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (exp.f64 -13)) (sqrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 -26)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (exp.f64 -13) z)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 -26)) z) (cbrt.f64 (exp.f64 -13)))
(*.f64 (/.f64 1 (/.f64 z (cbrt.f64 (exp.f64 -26)))) (cbrt.f64 (exp.f64 -13)))
(pow.f64 (/.f64 (exp.f64 -13) z) 1)
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 -13) z)) 2)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 -13) z)) 3)
(pow.f64 (pow.f64 (/.f64 (exp.f64 -13) z) 3) 1/3)
(pow.f64 (/.f64 z (exp.f64 -13)) -1)
(neg.f64 (/.f64 (exp.f64 -13) (neg.f64 z)))
(neg.f64 (*.f64 (/.f64 (exp.f64 -13) (neg.f64 z)) 1))
(neg.f64 (*.f64 (exp.f64 -13) (/.f64 -1 z)))
(neg.f64 (*.f64 1 (/.f64 (exp.f64 -13) (neg.f64 z))))
(sqrt.f64 (/.f64 (exp.f64 -26) (*.f64 z z)))
(log.f64 (exp.f64 (/.f64 (exp.f64 -13) z)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 -13) z))))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 -13) z) 3))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 -13) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 -13) z)))
(exp.f64 (-.f64 -13 (log.f64 z)))
(exp.f64 (*.f64 (-.f64 -13 (log.f64 z)) 1))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 -13) z)))

Outputs
(*.f64 2/13 (/.f64 (exp.f64 -13) (pow.f64 z 2)))
(/.f64 (exp.f64 -13) (*.f64 (/.f64 z 2/13) z))
(/.f64 (exp.f64 -13) (.f64 z (.f64 z 13/2)))
(*.f64 2/13 (/.f64 (exp.f64 -13) (pow.f64 z 2)))
(/.f64 (exp.f64 -13) (*.f64 (/.f64 z 2/13) z))
(/.f64 (exp.f64 -13) (.f64 z (.f64 z 13/2)))
(*.f64 2/13 (/.f64 (exp.f64 -13) (pow.f64 z 2)))
(/.f64 (exp.f64 -13) (*.f64 (/.f64 z 2/13) z))
(/.f64 (exp.f64 -13) (.f64 z (.f64 z 13/2)))
(*.f64 2/13 (/.f64 (exp.f64 -13) (pow.f64 z 2)))
(/.f64 (exp.f64 -13) (*.f64 (/.f64 z 2/13) z))
(/.f64 (exp.f64 -13) (.f64 z (.f64 z 13/2)))
(*.f64 2/13 (/.f64 (exp.f64 -13) (pow.f64 z 2)))
(/.f64 (exp.f64 -13) (*.f64 (/.f64 z 2/13) z))
(/.f64 (exp.f64 -13) (.f64 z (.f64 z 13/2)))
(*.f64 2/13 (/.f64 (exp.f64 -13) (pow.f64 z 2)))
(/.f64 (exp.f64 -13) (*.f64 (/.f64 z 2/13) z))
(/.f64 (exp.f64 -13) (.f64 z (.f64 z 13/2)))
(*.f64 2/13 (/.f64 (exp.f64 -13) (pow.f64 z 2)))
(/.f64 (exp.f64 -13) (*.f64 (/.f64 z 2/13) z))
(/.f64 (exp.f64 -13) (.f64 z (.f64 z 13/2)))
(*.f64 2/13 (/.f64 (exp.f64 -13) (pow.f64 z 2)))
(/.f64 (exp.f64 -13) (*.f64 (/.f64 z 2/13) z))
(/.f64 (exp.f64 -13) (.f64 z (.f64 z 13/2)))
(*.f64 2/13 (/.f64 (exp.f64 -13) (pow.f64 z 2)))
(/.f64 (exp.f64 -13) (*.f64 (/.f64 z 2/13) z))
(/.f64 (exp.f64 -13) (.f64 z (.f64 z 13/2)))
(*.f64 2/13 (/.f64 (exp.f64 -13) (pow.f64 z 2)))
(/.f64 (exp.f64 -13) (*.f64 (/.f64 z 2/13) z))
(/.f64 (exp.f64 -13) (.f64 z (.f64 z 13/2)))
(*.f64 2/13 (/.f64 (exp.f64 -13) (pow.f64 z 2)))
(/.f64 (exp.f64 -13) (*.f64 (/.f64 z 2/13) z))
(/.f64 (exp.f64 -13) (.f64 z (.f64 z 13/2)))
(*.f64 2/13 (/.f64 (exp.f64 -13) (pow.f64 z 2)))
(/.f64 (exp.f64 -13) (*.f64 (/.f64 z 2/13) z))
(/.f64 (exp.f64 -13) (.f64 z (.f64 z 13/2)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (.f64 (exp.f64 -13) (PI.f64)) (pow.f64 z 2)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64))))
(/.f64 (/.f64 (exp.f64 -13) z) (/.f64 (/.f64 z 45767980848377092942628957760201/325000000000000000000000000) (PI.f64)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (.f64 (exp.f64 -13) (PI.f64)) (pow.f64 z 2)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64))))
(/.f64 (/.f64 (exp.f64 -13) z) (/.f64 (/.f64 z 45767980848377092942628957760201/325000000000000000000000000) (PI.f64)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (.f64 (exp.f64 -13) (PI.f64)) (pow.f64 z 2)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64))))
(/.f64 (/.f64 (exp.f64 -13) z) (/.f64 (/.f64 z 45767980848377092942628957760201/325000000000000000000000000) (PI.f64)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (.f64 (exp.f64 -13) (PI.f64)) (pow.f64 z 2)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64))))
(/.f64 (/.f64 (exp.f64 -13) z) (/.f64 (/.f64 z 45767980848377092942628957760201/325000000000000000000000000) (PI.f64)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (.f64 (exp.f64 -13) (PI.f64)) (pow.f64 z 2)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64))))
(/.f64 (/.f64 (exp.f64 -13) z) (/.f64 (/.f64 z 45767980848377092942628957760201/325000000000000000000000000) (PI.f64)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (.f64 (exp.f64 -13) (PI.f64)) (pow.f64 z 2)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64))))
(/.f64 (/.f64 (exp.f64 -13) z) (/.f64 (/.f64 z 45767980848377092942628957760201/325000000000000000000000000) (PI.f64)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (.f64 (exp.f64 -13) (PI.f64)) (pow.f64 z 2)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64))))
(/.f64 (/.f64 (exp.f64 -13) z) (/.f64 (/.f64 z 45767980848377092942628957760201/325000000000000000000000000) (PI.f64)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (.f64 (exp.f64 -13) (PI.f64)) (pow.f64 z 2)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64))))
(/.f64 (/.f64 (exp.f64 -13) z) (/.f64 (/.f64 z 45767980848377092942628957760201/325000000000000000000000000) (PI.f64)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (.f64 (exp.f64 -13) (PI.f64)) (pow.f64 z 2)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64))))
(/.f64 (/.f64 (exp.f64 -13) z) (/.f64 (/.f64 z 45767980848377092942628957760201/325000000000000000000000000) (PI.f64)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (.f64 (exp.f64 -13) (PI.f64)) (pow.f64 z 2)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64))))
(/.f64 (/.f64 (exp.f64 -13) z) (/.f64 (/.f64 z 45767980848377092942628957760201/325000000000000000000000000) (PI.f64)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (.f64 (exp.f64 -13) (PI.f64)) (pow.f64 z 2)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64))))
(/.f64 (/.f64 (exp.f64 -13) z) (/.f64 (/.f64 z 45767980848377092942628957760201/325000000000000000000000000) (PI.f64)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (.f64 (exp.f64 -13) (PI.f64)) (pow.f64 z 2)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64))))
(/.f64 (/.f64 (exp.f64 -13) z) (/.f64 (/.f64 z 45767980848377092942628957760201/325000000000000000000000000) (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2/13 z))) 1)
(/.f64 2/13 z)
(*.f64 2/13 (/.f64 1 z))
(/.f64 2/13 z)
(*.f64 (/.f64 2/13 z) 1)
(/.f64 2/13 z)
(*.f64 1 (/.f64 2/13 z))
(/.f64 2/13 z)
(*.f64 (sqrt.f64 (/.f64 2/13 z)) (sqrt.f64 (/.f64 2/13 z)))
(/.f64 2/13 z)
(*.f64 (cbrt.f64 (/.f64 2/13 z)) (pow.f64 (cbrt.f64 (/.f64 2/13 z)) 2))
(/.f64 2/13 z)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2/13 z)) 2) (cbrt.f64 (/.f64 2/13 z)))
(/.f64 2/13 z)
(*.f64 (/.f64 1 z) 2/13)
(/.f64 2/13 z)
(*.f64 -2/13 (/.f64 -1 z))
(/.f64 2/13 z)
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 2/13 (sqrt.f64 z)))
(/.f64 (/.f64 2/13 (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 2/13 (cbrt.f64 z)))
(/.f64 (/.f64 2/13 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2))
(*.f64 (/.f64 -1 z) -2/13)
(/.f64 2/13 z)
(pow.f64 (/.f64 2/13 z) 1)
(/.f64 2/13 z)
(pow.f64 (sqrt.f64 (/.f64 2/13 z)) 2)
(/.f64 2/13 z)
(pow.f64 (cbrt.f64 (/.f64 2/13 z)) 3)
(/.f64 2/13 z)
(pow.f64 (pow.f64 (/.f64 2/13 z) 3) 1/3)
(/.f64 2/13 z)
(pow.f64 (*.f64 z 13/2) -1)
(/.f64 2/13 z)
(sqrt.f64 (/.f64 4/169 (*.f64 z z)))
(log.f64 (exp.f64 (/.f64 2/13 z)))
(/.f64 2/13 z)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2/13 z))))
(/.f64 2/13 z)
(cbrt.f64 (pow.f64 (/.f64 2/13 z) 3))
(/.f64 2/13 z)
(expm1.f64 (log1p.f64 (/.f64 2/13 z)))
(/.f64 2/13 z)
(exp.f64 (log.f64 (/.f64 2/13 z)))
(/.f64 2/13 z)
(exp.f64 (*.f64 (log.f64 (/.f64 2/13 z)) 1))
(/.f64 2/13 z)
(log1p.f64 (expm1.f64 (/.f64 2/13 z)))
(/.f64 2/13 z)
(-.f64 (exp.f64 (log1p.f64 (/.f64 2/13 (/.f64 (*.f64 z z) (exp.f64 -13))))) 1)
(/.f64 (exp.f64 -13) (*.f64 (/.f64 z 2/13) z))
(/.f64 (exp.f64 -13) (.f64 z (.f64 z 13/2)))
(/.f64 2/13 (/.f64 (*.f64 z z) (exp.f64 -13)))
(/.f64 (exp.f64 -13) (*.f64 (/.f64 z 2/13) z))
(/.f64 (exp.f64 -13) (.f64 z (.f64 z 13/2)))
(/.f64 2/13 (*.f64 z (/.f64 z (exp.f64 -13))))
(/.f64 (exp.f64 -13) (*.f64 (/.f64 z 2/13) z))
(/.f64 (exp.f64 -13) (.f64 z (.f64 z 13/2)))
(/.f64 2/13 (/.f64 (*.f64 z (neg.f64 z)) (neg.f64 (exp.f64 -13))))
(/.f64 (exp.f64 -13) (*.f64 (/.f64 z 2/13) z))
(/.f64 (exp.f64 -13) (.f64 z (.f64 z 13/2)))
(/.f64 (/.f64 2/13 z) (/.f64 z (exp.f64 -13)))
(/.f64 (exp.f64 -13) (*.f64 (/.f64 z 2/13) z))
(/.f64 (exp.f64 -13) (.f64 z (.f64 z 13/2)))
(/.f64 (exp.f64 -13) (.f64 z (.f64 z 13/2)))
(/.f64 (exp.f64 -13) (*.f64 (/.f64 z 2/13) z))
(/.f64 (exp.f64 -13) (.f64 (.f64 z 13/2) z))
(/.f64 (exp.f64 -13) (*.f64 (/.f64 z 2/13) z))
(/.f64 (exp.f64 -13) (.f64 z (.f64 z 13/2)))
(/.f64 (exp.f64 -13) (/.f64 (*.f64 z z) 2/13))
(/.f64 (exp.f64 -13) (*.f64 (/.f64 z 2/13) z))
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(/.f64 (/.f64 (exp.f64 -13) z) (/.f64 (/.f64 z 45767980848377092942628957760201/325000000000000000000000000) (PI.f64)))
(/.f64 (/.f64 (.f64 (.f64 2/13 (exp.f64 -13)) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)) (sqrt.f64 z)) (.f64 (sqrt.f64 z) z))
(/.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (/.f64 (.f64 2/13 (exp.f64 -13)) z))) (.f64 (sqrt.f64 z) (sqrt.f64 z)))
(/.f64 (.f64 (PI.f64) (.f64 (/.f64 45767980848377092942628957760201/325000000000000000000000000 z) (exp.f64 -13))) (*.f64 (sqrt.f64 z) (sqrt.f64 z)))
(/.f64 (/.f64 (.f64 (.f64 2/13 (exp.f64 -13)) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)) (pow.f64 (cbrt.f64 z) 2)) (.f64 (cbrt.f64 z) z))
(/.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (/.f64 (.f64 2/13 (exp.f64 -13)) z))) (.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z)))
(/.f64 (.f64 (PI.f64) (.f64 (/.f64 45767980848377092942628957760201/325000000000000000000000000 z) (exp.f64 -13))) (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2)))
(/.f64 (/.f64 (.f64 (.f64 2/13 (exp.f64 -13)) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)) (.f64 z (sqrt.f64 z))) (sqrt.f64 z))
(/.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (/.f64 (.f64 2/13 (exp.f64 -13)) z))) (.f64 (sqrt.f64 z) (sqrt.f64 z)))
(/.f64 (.f64 (PI.f64) (.f64 (/.f64 45767980848377092942628957760201/325000000000000000000000000 z) (exp.f64 -13))) (*.f64 (sqrt.f64 z) (sqrt.f64 z)))
(/.f64 (/.f64 (.f64 (.f64 2/13 (exp.f64 -13)) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)) (.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 z) 2))) (pow.f64 (cbrt.f64 z) 2))
(/.f64 (.f64 2/13 (.f64 (exp.f64 -13) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000))) (.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 z) 4)))
(/.f64 (.f64 (exp.f64 -13) (.f64 45767980848377092942628957760201/325000000000000000000000000 (PI.f64))) (*.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 z) 4)))
(/.f64 (/.f64 (.f64 (.f64 2/13 (exp.f64 -13)) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)) (.f64 z (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(/.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (/.f64 (.f64 2/13 (exp.f64 -13)) z))) (.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z)))
(/.f64 (.f64 (PI.f64) (.f64 (/.f64 45767980848377092942628957760201/325000000000000000000000000 z) (exp.f64 -13))) (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2)))
(pow.f64 (.f64 (/.f64 2/13 z) (.f64 (/.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13))) 1)
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64))))
(/.f64 (/.f64 (exp.f64 -13) z) (/.f64 (/.f64 z 45767980848377092942628957760201/325000000000000000000000000) (PI.f64)))
(pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)) (/.f64 (sqrt.f64 (*.f64 2/13 (exp.f64 -13))) z)) 2)
(pow.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2/13 (exp.f64 -13))) z) (sqrt.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000))) 2)
(pow.f64 (cbrt.f64 (.f64 (/.f64 2/13 z) (.f64 (/.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13)))) 3)
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64))))
(/.f64 (/.f64 (exp.f64 -13) z) (/.f64 (/.f64 z 45767980848377092942628957760201/325000000000000000000000000) (PI.f64)))
(pow.f64 (pow.f64 (.f64 (/.f64 2/13 z) (.f64 (/.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13))) 3) 1/3)
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64))))
(/.f64 (/.f64 (exp.f64 -13) z) (/.f64 (/.f64 z 45767980848377092942628957760201/325000000000000000000000000) (PI.f64)))
(neg.f64 (.f64 (/.f64 (exp.f64 -13) (neg.f64 z)) (.f64 (/.f64 2/13 z) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000))))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64))))
(/.f64 (/.f64 (exp.f64 -13) z) (/.f64 (/.f64 z 45767980848377092942628957760201/325000000000000000000000000) (PI.f64)))
(neg.f64 (.f64 (.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (/.f64 2/13 z)) (/.f64 (exp.f64 -13) (neg.f64 z))))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64))))
(/.f64 (/.f64 (exp.f64 -13) z) (/.f64 (/.f64 z 45767980848377092942628957760201/325000000000000000000000000) (PI.f64)))
(sqrt.f64 (pow.f64 (.f64 (/.f64 2/13 z) (.f64 (/.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13))) 2))
(sqrt.f64 (pow.f64 (.f64 (/.f64 2/13 z) (.f64 (exp.f64 -13) (/.f64 (PI.f64) (/.f64 z 45767980848377092942628957760201/50000000000000000000000000)))) 2))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (exp.f64 -13) z) (/.f64 (/.f64 z 45767980848377092942628957760201/325000000000000000000000000) (PI.f64))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 45767980848377092942628957760201/50000000000000000000000000) (/.f64 2/13 (/.f64 (*.f64 z z) (exp.f64 -13)))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 45767980848377092942628957760201/50000000000000000000000000) (/.f64 (exp.f64 -13) (*.f64 (/.f64 z 2/13) z))))
(.f64 2/13 (.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) (log.f64 (pow.f64 (exp.f64 (PI.f64)) 45767980848377092942628957760201/50000000000000000000000000))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 2/13 z) (.f64 (/.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13))))))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64))))
(/.f64 (/.f64 (exp.f64 -13) z) (/.f64 (/.f64 z 45767980848377092942628957760201/325000000000000000000000000) (PI.f64)))
(cbrt.f64 (pow.f64 (.f64 (/.f64 2/13 z) (.f64 (/.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13))) 3))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64))))
(/.f64 (/.f64 (exp.f64 -13) z) (/.f64 (/.f64 z 45767980848377092942628957760201/325000000000000000000000000) (PI.f64)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 2/13 (/.f64 (.f64 z z) (exp.f64 -13))) 3) (pow.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (exp.f64 -13) (.f64 (/.f64 z 2/13) z)) 3) (*.f64 (pow.f64 (PI.f64) 3) 95870558873604414124386404333497569760409259533203714893326905776884779377807204156780193400601/125000000000000000000000000000000000000000000000000000000000000000000000000000)))
(cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 95870558873604414124386404333497569760409259533203714893326905776884779377807204156780193400601/125000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 (exp.f64 -13) (.f64 z (.f64 z 13/2))) 3))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) 3) (pow.f64 (/.f64 2/13 (/.f64 (*.f64 z z) (exp.f64 -13))) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (exp.f64 -13) (.f64 (/.f64 z 2/13) z)) 3) (*.f64 (pow.f64 (PI.f64) 3) 95870558873604414124386404333497569760409259533203714893326905776884779377807204156780193400601/125000000000000000000000000000000000000000000000000000000000000000000000000000)))
(cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 95870558873604414124386404333497569760409259533203714893326905776884779377807204156780193400601/125000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 (exp.f64 -13) (.f64 z (.f64 z 13/2))) 3))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 2/13 z) (.f64 (/.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13)))))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64))))
(/.f64 (/.f64 (exp.f64 -13) z) (/.f64 (/.f64 z 45767980848377092942628957760201/325000000000000000000000000) (PI.f64)))
(exp.f64 (log.f64 (.f64 (/.f64 2/13 z) (.f64 (/.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13)))))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64))))
(/.f64 (/.f64 (exp.f64 -13) z) (/.f64 (/.f64 z 45767980848377092942628957760201/325000000000000000000000000) (PI.f64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 2/13 z) (.f64 (/.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13)))) 1))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64))))
(/.f64 (/.f64 (exp.f64 -13) z) (/.f64 (/.f64 z 45767980848377092942628957760201/325000000000000000000000000) (PI.f64)))
(log1p.f64 (expm1.f64 (.f64 (/.f64 2/13 z) (.f64 (/.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13)))))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64))))
(/.f64 (/.f64 (exp.f64 -13) z) (/.f64 (/.f64 z 45767980848377092942628957760201/325000000000000000000000000) (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 -13) z))) 1)
(/.f64 (exp.f64 -13) z)
(*.f64 (exp.f64 -13) (/.f64 1 z))
(/.f64 (exp.f64 -13) z)
(*.f64 (/.f64 (exp.f64 -13) z) 1)
(/.f64 (exp.f64 -13) z)
(*.f64 1 (/.f64 (exp.f64 -13) z))
(/.f64 (exp.f64 -13) z)
(*.f64 (sqrt.f64 (/.f64 (exp.f64 -13) z)) (sqrt.f64 (/.f64 (exp.f64 -13) z)))
(/.f64 (exp.f64 -13) z)
(.f64 (sqrt.f64 (exp.f64 -13)) (.f64 (sqrt.f64 (exp.f64 -13)) (/.f64 1 z)))
(.f64 (sqrt.f64 (exp.f64 -13)) (.f64 (/.f64 1 z) (sqrt.f64 (exp.f64 -13))))
(*.f64 (sqrt.f64 (exp.f64 -13)) (/.f64 (sqrt.f64 (exp.f64 -13)) z))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 -13) z)) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 -13) z)) 2))
(/.f64 (exp.f64 -13) z)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 -13) z)) 2) (cbrt.f64 (/.f64 (exp.f64 -13) z)))
(/.f64 (exp.f64 -13) z)
(.f64 (cbrt.f64 (exp.f64 -26)) (.f64 (cbrt.f64 (exp.f64 -13)) (/.f64 1 z)))
(.f64 (cbrt.f64 (exp.f64 -26)) (.f64 (/.f64 1 z) (cbrt.f64 (exp.f64 -13))))
(*.f64 (cbrt.f64 (exp.f64 -13)) (/.f64 (cbrt.f64 (exp.f64 -26)) z))
(*.f64 (/.f64 1 z) (exp.f64 -13))
(/.f64 (exp.f64 -13) z)
(*.f64 (neg.f64 (exp.f64 -13)) (/.f64 -1 z))
(/.f64 (exp.f64 -13) z)
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (exp.f64 -13) (sqrt.f64 z)))
(/.f64 (/.f64 (exp.f64 -13) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (exp.f64 -13) (cbrt.f64 z)))
(/.f64 (/.f64 (exp.f64 -13) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 (/.f64 -1 z) (neg.f64 (exp.f64 -13)))
(/.f64 (exp.f64 -13) z)
(*.f64 (/.f64 (sqrt.f64 (exp.f64 -13)) 1) (/.f64 (sqrt.f64 (exp.f64 -13)) z))
(.f64 (sqrt.f64 (exp.f64 -13)) (.f64 (/.f64 1 z) (sqrt.f64 (exp.f64 -13))))
(*.f64 (sqrt.f64 (exp.f64 -13)) (/.f64 (sqrt.f64 (exp.f64 -13)) z))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 -13)) z) (sqrt.f64 (exp.f64 -13)))
(.f64 (sqrt.f64 (exp.f64 -13)) (.f64 (/.f64 1 z) (sqrt.f64 (exp.f64 -13))))
(*.f64 (sqrt.f64 (exp.f64 -13)) (/.f64 (sqrt.f64 (exp.f64 -13)) z))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 -13)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (exp.f64 -13)) (cbrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 -26)) 1) (/.f64 (cbrt.f64 (exp.f64 -13)) z))
(.f64 (cbrt.f64 (exp.f64 -26)) (.f64 (/.f64 1 z) (cbrt.f64 (exp.f64 -13))))
(*.f64 (cbrt.f64 (exp.f64 -13)) (/.f64 (cbrt.f64 (exp.f64 -26)) z))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 -26)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (exp.f64 -13)) (sqrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 -26)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (exp.f64 -13) z)))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 -13) z)) (/.f64 (cbrt.f64 (exp.f64 -26)) (pow.f64 (cbrt.f64 z) 2)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 -26)) z) (cbrt.f64 (exp.f64 -13)))
(.f64 (cbrt.f64 (exp.f64 -26)) (.f64 (/.f64 1 z) (cbrt.f64 (exp.f64 -13))))
(*.f64 (cbrt.f64 (exp.f64 -13)) (/.f64 (cbrt.f64 (exp.f64 -26)) z))
(*.f64 (/.f64 1 (/.f64 z (cbrt.f64 (exp.f64 -26)))) (cbrt.f64 (exp.f64 -13)))
(.f64 (cbrt.f64 (exp.f64 -26)) (.f64 (/.f64 1 z) (cbrt.f64 (exp.f64 -13))))
(*.f64 (cbrt.f64 (exp.f64 -13)) (/.f64 (cbrt.f64 (exp.f64 -26)) z))
(pow.f64 (/.f64 (exp.f64 -13) z) 1)
(/.f64 (exp.f64 -13) z)
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 -13) z)) 2)
(/.f64 (exp.f64 -13) z)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 -13) z)) 3)
(/.f64 (exp.f64 -13) z)
(pow.f64 (pow.f64 (/.f64 (exp.f64 -13) z) 3) 1/3)
(/.f64 (exp.f64 -13) z)
(pow.f64 (/.f64 z (exp.f64 -13)) -1)
(/.f64 (exp.f64 -13) z)
(neg.f64 (/.f64 (exp.f64 -13) (neg.f64 z)))
(/.f64 (neg.f64 (exp.f64 -13)) (neg.f64 z))
(neg.f64 (*.f64 (/.f64 (exp.f64 -13) (neg.f64 z)) 1))
(/.f64 (neg.f64 (exp.f64 -13)) (neg.f64 z))
(neg.f64 (*.f64 (exp.f64 -13) (/.f64 -1 z)))
(/.f64 (exp.f64 -13) z)
(neg.f64 (*.f64 1 (/.f64 (exp.f64 -13) (neg.f64 z))))
(/.f64 (neg.f64 (exp.f64 -13)) (neg.f64 z))
(sqrt.f64 (/.f64 (exp.f64 -26) (*.f64 z z)))
(log.f64 (exp.f64 (/.f64 (exp.f64 -13) z)))
(/.f64 (exp.f64 -13) z)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 -13) z))))
(/.f64 (exp.f64 -13) z)
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 -13) z) 3))
(/.f64 (exp.f64 -13) z)
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 -13) 3) (pow.f64 z 3)))
(/.f64 (exp.f64 -13) z)
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 -13) z)))
(/.f64 (exp.f64 -13) z)
(exp.f64 (-.f64 -13 (log.f64 z)))
(exp.f64 (*.f64 (-.f64 -13 (log.f64 z)) 1))
(exp.f64 (-.f64 -13 (log.f64 z)))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 -13) z)))
(/.f64 (exp.f64 -13) z)

localize173.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.0b	(exp.f64 (neg.f64 (+.f64 z 13/2)))
✓	3.0b	(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))

Compiler

Compiled 405 to 327 computations (19.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2))))
0.0ms	z	@	0	(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))
0.0ms	z	@	-inf	(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2))))
0.0ms	z	@	inf	(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))
0.0ms	z	@	-inf	(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))

rewrite69.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

724×	`add-sqr-sqrt`
686×	`add-exp-log`
686×	`add-log-exp`
684×	`add-cbrt-cube`
684×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	100
1	706	96

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

Inputs

(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))

(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))))) (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))) 2)) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))) 1/2) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 2) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)) 2)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 3) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 2) (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)) (-.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 2) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))))) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)) 2) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 2)) (-.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (pow.f64 (/.f64 6765203681218851/10000000000000 z) 2)) (-.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (/.f64 6765203681218851/10000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))))))))))

((#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) (pow.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))))))

simplify66.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1196×	`associate-r`
1118×	`distribute-lft-in`
1096×	`associate-l`
1008×	`distribute-rgt-in`
564×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	188	3248
1	526	3150
2	1814	3078

Stop Event

1×	node limit

Counts

48 → 77

Calls

Call 1

Inputs
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 18646983574419129/20000000000000)
(-.f64 (+.f64 (.f64 130311870198853951/120000000000000 z) (.f64 6765203681218851/10000000000000 (/.f64 1 z))) 18646983574419129/20000000000000)
(-.f64 (+.f64 (.f64 130311870198853951/120000000000000 z) (+.f64 (.f64 -841870861561131653/720000000000000 (pow.f64 z 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 18646983574419129/20000000000000)
(/.f64 30223877537487/2500000000000 z)
(+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (.f64 30223877537487/2500000000000 (/.f64 1 z)))
(+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 30223877537487/2500000000000 (/.f64 1 z)) (*.f64 1183096179644721/5000000000000 (/.f64 1 (pow.f64 z 3)))))
(-.f64 (+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 30223877537487/2500000000000 (/.f64 1 z)) (.f64 1183096179644721/5000000000000 (/.f64 1 (pow.f64 z 3))))) (.f64 714212130605129/5000000000000 (/.f64 1 (pow.f64 z 4))))
(/.f64 30223877537487/2500000000000 z)
(+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (.f64 30223877537487/2500000000000 (/.f64 1 z)))
(+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 30223877537487/2500000000000 (/.f64 1 z)) (*.f64 1183096179644721/5000000000000 (/.f64 1 (pow.f64 z 3)))))
(-.f64 (+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 30223877537487/2500000000000 (/.f64 1 z)) (.f64 1183096179644721/5000000000000 (/.f64 1 (pow.f64 z 3))))) (.f64 714212130605129/5000000000000 (/.f64 1 (pow.f64 z 4))))
(*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))
(+.f64 (.f64 (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))
(+.f64 (.f64 (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z) (+.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (pow.f64 z 2))))
(+.f64 (.f64 (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z) (+.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))))))) (pow.f64 z 3)) (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (pow.f64 z 2)))))
(*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))
(*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))
(*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))
(*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))
(.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2)))
(.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2)))
(.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2)))
(.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2)))
(*.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))))
(*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))) 1)
(*.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))))) (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))) 2)) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))))))
(*.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))) 1/2) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))) 1/2))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 2) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)) 2)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 3) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 2) (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)) (-.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 2) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))))) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)) 2) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 2)) (-.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (pow.f64 (/.f64 6765203681218851/10000000000000 z) 2)) (-.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (/.f64 6765203681218851/10000000000000 z)))
(pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))))))
(cbrt.f64 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))) 2)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))))))
(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))))))
(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))
(pow.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) 1)
(log.f64 (exp.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
(cbrt.f64 (.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) (pow.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) 2)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))

Outputs
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 18646983574419129/20000000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) -18646983574419129/20000000000000)
(-.f64 (+.f64 (.f64 130311870198853951/120000000000000 z) (.f64 6765203681218851/10000000000000 (/.f64 1 z))) 18646983574419129/20000000000000)
(+.f64 (fma.f64 130311870198853951/120000000000000 z (/.f64 6765203681218851/10000000000000 z)) -18646983574419129/20000000000000)
(+.f64 (fma.f64 z 130311870198853951/120000000000000 (/.f64 6765203681218851/10000000000000 z)) -18646983574419129/20000000000000)
(-.f64 (+.f64 (.f64 130311870198853951/120000000000000 z) (+.f64 (.f64 -841870861561131653/720000000000000 (pow.f64 z 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 18646983574419129/20000000000000)
(+.f64 (fma.f64 130311870198853951/120000000000000 z (fma.f64 -841870861561131653/720000000000000 (*.f64 z z) (/.f64 6765203681218851/10000000000000 z))) -18646983574419129/20000000000000)
(fma.f64 z 130311870198853951/120000000000000 (+.f64 (fma.f64 -841870861561131653/720000000000000 (*.f64 z z) (/.f64 6765203681218851/10000000000000 z)) -18646983574419129/20000000000000))
(/.f64 30223877537487/2500000000000 z)
(+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (.f64 30223877537487/2500000000000 (/.f64 1 z)))
(+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (/.f64 30223877537487/2500000000000 z))
(+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 30223877537487/2500000000000 (/.f64 1 z)) (*.f64 1183096179644721/5000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (+.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 1183096179644721/5000000000000 (pow.f64 z 3))))
(-.f64 (+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 30223877537487/2500000000000 (/.f64 1 z)) (.f64 1183096179644721/5000000000000 (/.f64 1 (pow.f64 z 3))))) (.f64 714212130605129/5000000000000 (/.f64 1 (pow.f64 z 4))))
(+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (-.f64 (+.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 1183096179644721/5000000000000 (pow.f64 z 3))) (/.f64 714212130605129/5000000000000 (pow.f64 z 4))))
(+.f64 (+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (/.f64 30223877537487/2500000000000 z)) (-.f64 (/.f64 1183096179644721/5000000000000 (pow.f64 z 3)) (/.f64 714212130605129/5000000000000 (pow.f64 z 4))))
(+.f64 (/.f64 30223877537487/2500000000000 z) (+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (+.f64 (/.f64 1183096179644721/5000000000000 (pow.f64 z 3)) (/.f64 -714212130605129/5000000000000 (pow.f64 z 4)))))
(/.f64 30223877537487/2500000000000 z)
(+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (.f64 30223877537487/2500000000000 (/.f64 1 z)))
(+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (/.f64 30223877537487/2500000000000 z))
(+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 30223877537487/2500000000000 (/.f64 1 z)) (*.f64 1183096179644721/5000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (+.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 1183096179644721/5000000000000 (pow.f64 z 3))))
(-.f64 (+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 30223877537487/2500000000000 (/.f64 1 z)) (.f64 1183096179644721/5000000000000 (/.f64 1 (pow.f64 z 3))))) (.f64 714212130605129/5000000000000 (/.f64 1 (pow.f64 z 4))))
(+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (-.f64 (+.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 1183096179644721/5000000000000 (pow.f64 z 3))) (/.f64 714212130605129/5000000000000 (pow.f64 z 4))))
(+.f64 (+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (/.f64 30223877537487/2500000000000 z)) (-.f64 (/.f64 1183096179644721/5000000000000 (pow.f64 z 3)) (/.f64 714212130605129/5000000000000 (pow.f64 z 4))))
(+.f64 (/.f64 30223877537487/2500000000000 z) (+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (+.f64 (/.f64 1183096179644721/5000000000000 (pow.f64 z 3)) (/.f64 -714212130605129/5000000000000 (pow.f64 z 4)))))
(*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))
(+.f64 (.f64 (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))
(fma.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) z (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))
(fma.f64 z (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (log.f64 13/2) -14/13)) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))
(fma.f64 z (.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (+.f64 (log.f64 13/2) -14/13))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))
(+.f64 (.f64 (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z) (+.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (pow.f64 z 2))))
(fma.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) z (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 (.f64 z z) (fma.f64 1/2 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (fma.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (neg.f64 (.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (log.f64 13/2) -1/13))))))))
(fma.f64 z (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (log.f64 13/2) -14/13)) (fma.f64 (.f64 z z) (-.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 1/2 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169))) (.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (+.f64 (log.f64 13/2) -1/13)))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))))
(fma.f64 z (.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (+.f64 (log.f64 13/2) -14/13))) (fma.f64 (.f64 z z) (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (-.f64 (+.f64 223/338 (.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (+.f64 (log.f64 13/2) -1/13))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))))
(+.f64 (.f64 (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z) (+.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))))))) (pow.f64 z 3)) (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (pow.f64 z 2)))))
(fma.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) z (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (fma.f64 (fma.f64 1/2 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (log.f64 13/2) -1/13)) (fma.f64 (+.f64 (fma.f64 27/169 (+.f64 (log.f64 13/2) -1/13) (.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3))) -82/6591) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (fma.f64 -1/6 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (neg.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 27/169 (.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2)))))))) (pow.f64 z 3) (.f64 (.f64 z z) (fma.f64 1/2 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (fma.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (neg.f64 (.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (log.f64 13/2) -1/13)))))))))
(fma.f64 z (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (log.f64 13/2) -14/13)) (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (fma.f64 (pow.f64 z 3) (+.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 -1/6 (neg.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169)))) (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (.f64 (log.f64 13/2) 1/2) -1/26) (fma.f64 (+.f64 (log.f64 13/2) -1/13) 27/169 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) -82/6591))))) (.f64 z (.f64 z (-.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 1/2 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169))) (.f64 (sqrt.f64 2/13) (*.f64 (exp.f64 -13/2) (+.f64 (log.f64 13/2) -1/13)))))))))
(fma.f64 z (.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (+.f64 (log.f64 13/2) -14/13))) (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 (.f64 z z) (+.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (-.f64 (+.f64 223/338 (.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (+.f64 (log.f64 13/2) -1/13))) (.f64 z (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (.f64 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) -1/2) -331/1014) (+.f64 (fma.f64 (+.f64 (log.f64 13/2) -1/13) 27/169 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) -82/6591)) (+.f64 -1/26 (.f64 (log.f64 13/2) 1/2))))))))))
(*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))
(*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))
(*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))
(*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))
(.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2)))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))
(.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2)))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))
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(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 2) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 2)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 883075145810703/5000000000000 (+.f64 z 3)) (/.f64 3147848041806007/2500000000000 (+.f64 z 1))))))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (pow.f64 (/.f64 6765203681218851/10000000000000 z) 2)) (-.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (/.f64 6765203681218851/10000000000000 z)))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (pow.f64 (/.f64 6765203681218851/10000000000000 z) 2)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 -6765203681218851/10000000000000 z))))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 z) z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -6765203681218851/10000000000000 z)))))
(pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))) 1)
(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))
(log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))
(cbrt.f64 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))) 2)))
(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))
(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))
(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))
(pow.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) 1)
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))
(log.f64 (exp.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))
(cbrt.f64 (.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) (pow.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) 2)))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))

localize378.0ms (1.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.8b	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.0b	(exp.f64 (+.f64 z 13/2))
✓	1.0b	(-.f64 (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000)) (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))

Compiler

Compiled 949 to 780 computations (17.8% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(-.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000)) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))

0.0ms

inf

(-.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000)) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))

0.0ms

-inf

(-.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000)) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))

rewrite102.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1162×	`add-sqr-sqrt`
1108×	`add-exp-log`
1108×	`add-cbrt-cube`
1108×	`add-log-exp`
1108×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	151
1	1126	151

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

Inputs

(-.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000)) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (*.f64 (neg.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (neg.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 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simplify99.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1542×	`associate-+r-`
970×	`*-commutative`
932×	`associate-+r+`
712×	`associate-/l*`
690×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	115	3192
1	274	3188
2	1078	3176
3	4929	3176

Stop Event

1×	node limit

Counts

28 → 51

Calls

Call 1

Inputs
(/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 z 2))
(+.f64 (.f64 45767980848377092942628957760201/100000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 67652036812175649347802002964249/50000000000000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 (.f64 67652036812175649347802002964249/50000000000000000000000000000 (/.f64 1 z)) (.f64 45767980848377092942628957760201/100000000000000000000000000 (/.f64 1 (pow.f64 z 2)))) 238003473435470891788214263289742389298101555276217769/275625000000000000000000000000000000000000000000)
(-.f64 (+.f64 (.f64 67652036812175649347802002964249/50000000000000000000000000000 (/.f64 1 z)) (+.f64 (.f64 182394916102914492738680860550897387810339838220361851/90439453125000000000000000000000000000000000000 z) (*.f64 45767980848377092942628957760201/100000000000000000000000000 (/.f64 1 (pow.f64 z 2))))) 238003473435470891788214263289742389298101555276217769/275625000000000000000000000000000000000000000000)
99999999999961980000000003613801/100000000000000000000000000000000
(+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 67652036812175649347802002964249/50000000000000000000000000000 (/.f64 1 z)))
(+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (+.f64 (.f64 20309319544502908107413583644180456395859756468759/625000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 67652036812175649347802002964249/50000000000000000000000000000 (/.f64 1 z))))
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(+.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (neg.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 2)))
(+.f64 (-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 2)) (fma.f64 (neg.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 2)))
(*.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 2)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 2))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 2))))
(.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 2))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 2)))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 2))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2)) (.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 2) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 2))) (+.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 2)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) 3) (pow.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 2) 3)) (+.f64 (.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2)) (+.f64 (.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 2) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 2)) (*.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 2)))))
(pow.f64 (-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 2)) 1)
(log.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 2))))
(cbrt.f64 (.f64 (.f64 (-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 2)) (-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 2))) (-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 2))))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 2))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 2))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 2))))
(fma.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (neg.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 2)))

Outputs
(/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 z 2))
(/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))
(+.f64 (.f64 45767980848377092942628957760201/100000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 67652036812175649347802002964249/50000000000000000000000000000 (/.f64 1 z)))
(+.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (/.f64 67652036812175649347802002964249/50000000000000000000000000000 z))
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(cbrt.f64 (.f64 (.f64 (-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 2)) (-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 2))) (-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 2))))
(-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 2))
(-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))))) 2))
(-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 2))
(-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))))))) 2))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 2))))
(-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 2))
(-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))))) 2))
(-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 2))
(-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))))))) 2))
(exp.f64 (log.f64 (-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 2))))
(-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 2))
(-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))))) 2))
(-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 2))
(-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))))))) 2))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 2))))
(-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 2))
(-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))))) 2))
(-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 2))
(-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))))))) 2))
(fma.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (neg.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 2)))
(-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 2))
(-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))))) 2))
(-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 2))
(-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))))))) 2))

localize271.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.9b	(+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.0b	(exp.f64 (-.f64 -13/2 z))
✓	1.4b	(exp.f64 (+.f64 (-.f64 -13/2 z) (-.f64 -13/2 z)))

Compiler

Compiled 519 to 418 computations (19.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(exp.f64 (+.f64 (-.f64 -13/2 z) (-.f64 -13/2 z)))
0.0ms	z	@	inf	(exp.f64 (+.f64 (-.f64 -13/2 z) (-.f64 -13/2 z)))
0.0ms	z	@	-inf	(exp.f64 (+.f64 (-.f64 -13/2 z) (-.f64 -13/2 z)))

rewrite57.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1916×	`add-sqr-sqrt`
1888×	`*-un-lft-identity`
1784×	`add-cube-cbrt`
1772×	`add-cbrt-cube`
180×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	180	11
2	2478	11

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(exp.f64 (+.f64 (-.f64 -13/2 z) (-.f64 -13/2 z)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 0 0)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (/.f64 0 0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 -13/2 z)) (exp.f64 (-.f64 -13/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 0 0))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 0 0))) 2) (cbrt.f64 (exp.f64 (/.f64 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 -13/2) (exp.f64 (+.f64 (-.f64 z -13/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (+.f64 -13/2 (-.f64 -13/2 z))) (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (/.f64 0 0)) (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (/.f64 0 0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 -13/2 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (/.f64 0 0))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (/.f64 0 0)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 2) (-.f64 -13/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (/.f64 0 0)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (/.f64 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 0 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (/.f64 0 0)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (/.f64 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (/.f64 0 0))))))))

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

24×	`sqr-pow`
20×	`*-commutative`
14×	`+-commutative`
8×	`fma-def`
8×	`unpow2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	373
1	200	373

Stop Event

1×

unsound

Counts

33 → 35

Calls

Call 1

Inputs
(exp.f64 -13)
(+.f64 (.f64 -2 (.f64 z (exp.f64 -13))) (exp.f64 -13))
(+.f64 (.f64 2 (.f64 (pow.f64 z 2) (exp.f64 -13))) (+.f64 (.f64 -2 (.f64 z (exp.f64 -13))) (exp.f64 -13)))
(+.f64 (.f64 -4/3 (.f64 (pow.f64 z 3) (exp.f64 -13))) (+.f64 (.f64 2 (.f64 (pow.f64 z 2) (exp.f64 -13))) (+.f64 (.f64 -2 (.f64 z (exp.f64 -13))) (exp.f64 -13))))
(exp.f64 (neg.f64 (+.f64 (*.f64 2 z) 13)))
(exp.f64 (neg.f64 (+.f64 (*.f64 2 z) 13)))
(exp.f64 (neg.f64 (+.f64 (*.f64 2 z) 13)))
(exp.f64 (neg.f64 (+.f64 (*.f64 2 z) 13)))
(exp.f64 (-.f64 (*.f64 -2 z) 13))
(exp.f64 (-.f64 (*.f64 -2 z) 13))
(exp.f64 (-.f64 (*.f64 -2 z) 13))
(exp.f64 (-.f64 (*.f64 -2 z) 13))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 0 0)))) 1)
(*.f64 (exp.f64 (/.f64 0 0)) 1)
(*.f64 1 (exp.f64 (/.f64 0 0)))
(*.f64 (exp.f64 (-.f64 -13/2 z)) (exp.f64 (-.f64 -13/2 z)))
(*.f64 (cbrt.f64 (exp.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 0 0))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 0 0))) 2) (cbrt.f64 (exp.f64 (/.f64 0 0))))
(/.f64 (exp.f64 -13/2) (exp.f64 (+.f64 (-.f64 z -13/2) z)))
(/.f64 (exp.f64 (+.f64 -13/2 (-.f64 -13/2 z))) (exp.f64 z))
(pow.f64 (exp.f64 (/.f64 0 0)) (/.f64 0 0))
(pow.f64 (exp.f64 (/.f64 0 0)) 1)
(pow.f64 (exp.f64 (-.f64 -13/2 z)) 2)
(pow.f64 (cbrt.f64 (exp.f64 (/.f64 0 0))) 3)
(pow.f64 (pow.f64 (exp.f64 (/.f64 0 0)) 3) 1/3)
(pow.f64 (exp.f64 1) (/.f64 0 0))
(pow.f64 (exp.f64 2) (-.f64 -13/2 z))
(sqrt.f64 (pow.f64 (exp.f64 (/.f64 0 0)) 2))
(log.f64 (exp.f64 (exp.f64 (/.f64 0 0))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 0 0)))))
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 0 0)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 0 0))))
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 0 0))))

Outputs
(exp.f64 -13)
(+.f64 (.f64 -2 (.f64 z (exp.f64 -13))) (exp.f64 -13))
(fma.f64 -2 (*.f64 (exp.f64 -13) z) (exp.f64 -13))
(+.f64 (.f64 2 (.f64 (pow.f64 z 2) (exp.f64 -13))) (+.f64 (.f64 -2 (.f64 z (exp.f64 -13))) (exp.f64 -13)))
(fma.f64 2 (.f64 (exp.f64 -13) (.f64 z z)) (fma.f64 -2 (*.f64 (exp.f64 -13) z) (exp.f64 -13)))
(+.f64 (.f64 -4/3 (.f64 (pow.f64 z 3) (exp.f64 -13))) (+.f64 (.f64 2 (.f64 (pow.f64 z 2) (exp.f64 -13))) (+.f64 (.f64 -2 (.f64 z (exp.f64 -13))) (exp.f64 -13))))
(fma.f64 -4/3 (.f64 (exp.f64 -13) (pow.f64 z 3)) (fma.f64 2 (.f64 (exp.f64 -13) (.f64 z z)) (fma.f64 -2 (.f64 (exp.f64 -13) z) (exp.f64 -13))))
(exp.f64 (neg.f64 (+.f64 (*.f64 2 z) 13)))
(exp.f64 (neg.f64 (fma.f64 2 z 13)))
(exp.f64 (neg.f64 (+.f64 (*.f64 2 z) 13)))
(exp.f64 (neg.f64 (fma.f64 2 z 13)))
(exp.f64 (neg.f64 (+.f64 (*.f64 2 z) 13)))
(exp.f64 (neg.f64 (fma.f64 2 z 13)))
(exp.f64 (neg.f64 (+.f64 (*.f64 2 z) 13)))
(exp.f64 (neg.f64 (fma.f64 2 z 13)))
(exp.f64 (-.f64 (*.f64 -2 z) 13))
(exp.f64 (fma.f64 -2 z -13))
(exp.f64 (-.f64 (*.f64 -2 z) 13))
(exp.f64 (fma.f64 -2 z -13))
(exp.f64 (-.f64 (*.f64 -2 z) 13))
(exp.f64 (fma.f64 -2 z -13))
(exp.f64 (-.f64 (*.f64 -2 z) 13))
(exp.f64 (fma.f64 -2 z -13))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 0 0)))) 1)
0
(*.f64 (exp.f64 (/.f64 0 0)) 1)
0
(*.f64 1 (exp.f64 (/.f64 0 0)))
0
(*.f64 (exp.f64 (-.f64 -13/2 z)) (exp.f64 (-.f64 -13/2 z)))
(pow.f64 (exp.f64 (-.f64 -13/2 z)) 2)
(*.f64 (cbrt.f64 (exp.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 0 0))) 2))
0
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 0 0))) 2) (cbrt.f64 (exp.f64 (/.f64 0 0))))
0
(/.f64 (exp.f64 -13/2) (exp.f64 (+.f64 (-.f64 z -13/2) z)))
(exp.f64 (-.f64 -13/2 (+.f64 z (+.f64 z 13/2))))
(/.f64 (exp.f64 (+.f64 -13/2 (-.f64 -13/2 z))) (exp.f64 z))
(exp.f64 (-.f64 (-.f64 -13 z) z))
(pow.f64 (exp.f64 (/.f64 0 0)) (/.f64 0 0))
0
(pow.f64 (exp.f64 (/.f64 0 0)) 1)
0
(pow.f64 (exp.f64 (-.f64 -13/2 z)) 2)
(pow.f64 (cbrt.f64 (exp.f64 (/.f64 0 0))) 3)
0
(pow.f64 (pow.f64 (exp.f64 (/.f64 0 0)) 3) 1/3)
0
(pow.f64 (exp.f64 1) (/.f64 0 0))
0
(pow.f64 (exp.f64 2) (-.f64 -13/2 z))
(sqrt.f64 (pow.f64 (exp.f64 (/.f64 0 0)) 2))
0
(log.f64 (exp.f64 (exp.f64 (/.f64 0 0))))
0
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 0 0)))))
0
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 0 0)) 3))
0
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 0 0))))
0
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 0 0))))
0

eval1.2s (5.2%)

Compiler: Compiled 55838 to 45425 computations (18.6% saved)

prune948.0ms (4%)

Pruning

159 alts after pruning (153 fresh and 6 done)

	Pruned	Kept	Total
New	883	43	926
Fresh	18	110	128
Picked	1	0	1
Done	2	6	8
Total	904	159	1063

Error

0.3b

Counts

1063 → 159

Alt Table

Click to see full alt table

Status	Error	Program
	55.4b	(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (exp.f64 -13/2)) (/.f64 z (sqrt.f64 2/13)))
	55.4b	(/.f64 (.f64 6765203681218851/10000000000000 (exp.f64 -13/2)) (/.f64 (/.f64 z (sqrt.f64 2/13)) (sqrt.f64 (.f64 (PI.f64) 2))))
	2.6b	(.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (+.f64 z 13/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	2.6b	(.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	2.7b	(.f64 (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (-.f64 z 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 z -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 z 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 z -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 z -7)))))
	2.8b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	2.8b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 3) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.f64 z 1) 3))) (fma.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 -9999999999998099/10000000000000000 (+.f64 (/.f64 -6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	3.0b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	2.7b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	3.2b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (cbrt.f64 (exp.f64 (-.f64 (*.f64 (+.f64 z 13/2) -2) (+.f64 z 13/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	2.6b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (-.f64 z 1/2))) (*.f64 (exp.f64 (+.f64 (neg.f64 z) -6)) (exp.f64 -1/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 z -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 z -7)))))
	2.7b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (-.f64 z 1/2))) (exp.f64 (-.f64 -13/2 z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 z 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 z -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 z -7)))))
	2.6b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (-.f64 z 1/2))) (exp.f64 (-.f64 -13/2 z))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 z -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 z -7)))))
	2.8b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (-.f64 z 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 z -6)) -1/2))) (+.f64 (+.f64 (/.f64 (-.f64 (.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 z -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 z -7)))))
	2.7b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (-.f64 z 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 z -6)) -1/2))) (+.f64 (+.f64 (/.f64 (-.f64 (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3))))) (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 z -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 z -7)))))
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	3.6b	(.f64 (exp.f64 (log.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	55.4b	(sqrt.f64 (/.f64 (/.f64 (exp.f64 -13) z) (/.f64 (/.f64 z 45767980848377092942628957760201/325000000000000000000000000) (PI.f64))))
	55.4b	(sqrt.f64 (/.f64 (.f64 (/.f64 (exp.f64 -13) z) 45767980848377092942628957760201/50000000000000000000000000) (/.f64 (.f64 z 13/2) (PI.f64))))
	55.4b	(sqrt.f64 (/.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (*.f64 2/13 (/.f64 (exp.f64 -13) z))) z))
	55.4b	(sqrt.f64 (/.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (*.f64 z (/.f64 z 2/13))))
	55.4b	(sqrt.f64 (/.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (.f64 (/.f64 z (exp.f64 -13)) (*.f64 z 13/2))))
	55.4b	(sqrt.f64 (/.f64 (.f64 2/13 (.f64 (/.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13))) z))
	55.4b	(sqrt.f64 (/.f64 (exp.f64 -13) (/.f64 (.f64 z 13/2) (.f64 (/.f64 1 z) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))))
	55.4b	(sqrt.f64 (/.f64 2/13 (/.f64 z (.f64 (/.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13)))))
	55.4b	(sqrt.f64 (.f64 (/.f64 (/.f64 (/.f64 2/13 z) z) (/.f64 1 (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
	55.4b	(sqrt.f64 (.f64 (/.f64 (/.f64 (exp.f64 -13) (.f64 z z)) 13/2) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
	55.4b	(sqrt.f64 (.f64 (/.f64 (/.f64 2/13 z) (/.f64 z (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
	55.4b	(sqrt.f64 (.f64 (/.f64 (.f64 2/13 (/.f64 (exp.f64 -13) z)) z) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
	55.4b	(sqrt.f64 (.f64 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) 2/13)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
	55.4b	(sqrt.f64 (.f64 (/.f64 (exp.f64 -13) (.f64 (/.f64 z 2/13) z)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
	55.4b	(sqrt.f64 (.f64 (/.f64 1 (/.f64 (.f64 (.f64 z 13/2) z) (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
	55.4b	(sqrt.f64 (.f64 (/.f64 2/13 (.f64 z (/.f64 z (exp.f64 -13)))) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
	55.4b	(sqrt.f64 (.f64 (/.f64 -2/13 (/.f64 (neg.f64 z) (/.f64 (exp.f64 -13) z))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
✓	55.4b	(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (/.f64 (exp.f64 -13) z)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
	55.4b	(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (.f64 (/.f64 1 z) (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
	55.4b	(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (sqrt.f64 (/.f64 (exp.f64 -26) (.f64 z z)))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
	55.4b	(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (exp.f64 (-.f64 -13 (log.f64 z)))) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
	55.4b	(sqrt.f64 (.f64 (.f64 (.f64 (/.f64 1 z) 2/13) (/.f64 (exp.f64 -13) z)) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
	55.4b	(sqrt.f64 (.f64 (PI.f64) (.f64 2 (/.f64 (.f64 45767980848377092942628957760201/100000000000000000000000000 (exp.f64 -13)) (.f64 (/.f64 z 2/13) z)))))
▶	55.4b	(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64)))))

Compiler

Compiled 21952 to 18252 computations (16.9% saved)

localize212.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))
✓	0.8b	(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.0b	(exp.f64 (-.f64 -13/2 z))

Compiler

Compiled 409 to 310 computations (24.2% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))
0.0ms	z	@	-inf	(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))
0.0ms	z	@	inf	(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))
0.0ms	z	@	0	(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))
0.0ms	z	@	-inf	(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))

rewrite133.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

568×	`add-sqr-sqrt`
536×	`add-exp-log`
536×	`add-log-exp`
536×	`*-un-lft-identity`
534×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	76
1	555	76
2	7451	76

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

Inputs

(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))

(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 -13/2)) (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 -13/2) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (exp.f64 (-.f64 -13/2 z))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 3) (pow.f64 (exp.f64 (-.f64 -13/2 z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 3) (pow.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (-.f64 -13/2 z) (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (-.f64 -13/2 z) (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2)) (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))) (/.f64 (pow.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) 2) (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))) 2) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2)) (pow.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) 2)) (/.f64 1 (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z 2) 3)) (pow.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) 3)) (/.f64 1 (+.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2)) (*.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (-.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 7713234287776531/10000000000000 (fma.f64 z z z) (*.f64 (+.f64 z 2) (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000))) (/.f64 1 (*.f64 (+.f64 z 2) (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z))) (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2)) (pow.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2)) (*.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (-.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z 2) 3)) (pow.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) 3))))))) (#(struct:change 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simplify134.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1208×	`associate-/r*`
724×	`associate-*r/`
634×	`associate-+r+`
620×	`associate-/l*`
616×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	340	5879
1	935	5609
2	3329	5543

Stop Event

1×	node limit

Counts

99 → 132

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))
(+.f64 (.f64 (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))
(+.f64 (.f64 (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z) (+.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (pow.f64 z 2))))
(+.f64 (.f64 (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z) (+.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))))))) (pow.f64 z 3)) (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (pow.f64 z 2)))))
(*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))
(*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))
(*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))
(*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))
(.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2)))
(.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2)))
(.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2)))
(.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2)))
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 698782001866861/800000000000)
(-.f64 (+.f64 (.f64 42652334381119581/40000000000000 z) (.f64 6765203681218851/10000000000000 (/.f64 1 z))) 698782001866861/800000000000)
(-.f64 (+.f64 (.f64 -93017903050015693/80000000000000 (pow.f64 z 2)) (+.f64 (.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 698782001866861/800000000000)
(/.f64 943522900885677/5000000000000 z)
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(exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))))
(fma.f64 7713234287776531/10000000000000 (/.f64 1 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))
(fma.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (/.f64 1 (fma.f64 z z z)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))
(fma.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))
(fma.f64 1 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))
(fma.f64 (sqrt.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z))) (sqrt.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))
(fma.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z))) 2) (cbrt.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))

Outputs
(*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))
(+.f64 (.f64 (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))
(fma.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) z (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))
(fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (*.f64 (+.f64 (log.f64 13/2) -14/13) z)))
(+.f64 (.f64 (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z) (+.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (pow.f64 z 2))))
(fma.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) z (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 (fma.f64 1/2 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (fma.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (neg.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (log.f64 13/2) -1/13))))) (*.f64 z z))))
(fma.f64 (.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (+.f64 (log.f64 13/2) -14/13))) z (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 z (.f64 z (-.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 1/2 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169))) (.f64 (exp.f64 -13/2) (.f64 (sqrt.f64 2/13) (+.f64 (log.f64 13/2) -1/13))))))))
(fma.f64 (.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (+.f64 (log.f64 13/2) -14/13))) z (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (-.f64 (+.f64 223/338 (.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (+.f64 (log.f64 13/2) -1/13))) (*.f64 z z))))
(+.f64 (.f64 (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z) (+.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))))))) (pow.f64 z 3)) (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (pow.f64 z 2)))))
(fma.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) z (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (fma.f64 (fma.f64 1/2 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (log.f64 13/2) -1/13)) (fma.f64 (+.f64 (fma.f64 27/169 (+.f64 (log.f64 13/2) -1/13) (.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3))) -82/6591) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (fma.f64 -1/6 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (neg.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 27/169 (.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2)))))))) (pow.f64 z 3) (.f64 (fma.f64 1/2 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (fma.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (neg.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (log.f64 13/2) -1/13))))) (*.f64 z z)))))
(fma.f64 (.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (+.f64 (log.f64 13/2) -14/13))) z (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (fma.f64 (-.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 1/2 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169))) (.f64 (exp.f64 -13/2) (.f64 (sqrt.f64 2/13) (+.f64 (log.f64 13/2) -1/13)))) (.f64 z z) (.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 -1/6 (neg.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169)))) (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (*.f64 (log.f64 13/2) 1/2) -1/26) (fma.f64 (+.f64 (log.f64 13/2) -1/13) 27/169 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) -82/6591))))) (pow.f64 z 3)))))
(fma.f64 (.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (+.f64 (log.f64 13/2) -14/13))) z (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 (.f64 z z) (+.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (-.f64 (+.f64 223/338 (.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (+.f64 (log.f64 13/2) -1/13))) (.f64 z (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 -1/6 (neg.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169))) (+.f64 (fma.f64 (+.f64 (log.f64 13/2) -1/13) 27/169 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) -82/6591)) (+.f64 (*.f64 1/2 (log.f64 13/2)) -1/26)))))))))
(*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))
(*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))
(*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))
(*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))
(.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2)))
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))
(.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2)))
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))
(.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2)))
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))
(.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2)))
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 698782001866861/800000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) -698782001866861/800000000000)
(-.f64 (+.f64 (.f64 42652334381119581/40000000000000 z) (.f64 6765203681218851/10000000000000 (/.f64 1 z))) 698782001866861/800000000000)
(+.f64 (fma.f64 42652334381119581/40000000000000 z (/.f64 6765203681218851/10000000000000 z)) -698782001866861/800000000000)
(+.f64 (fma.f64 z 42652334381119581/40000000000000 (/.f64 6765203681218851/10000000000000 z)) -698782001866861/800000000000)
(-.f64 (+.f64 (.f64 -93017903050015693/80000000000000 (pow.f64 z 2)) (+.f64 (.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 698782001866861/800000000000)
(+.f64 (fma.f64 -93017903050015693/80000000000000 (*.f64 z z) (fma.f64 42652334381119581/40000000000000 z (/.f64 6765203681218851/10000000000000 z))) -698782001866861/800000000000)
(+.f64 (fma.f64 (*.f64 z z) -93017903050015693/80000000000000 (fma.f64 z 42652334381119581/40000000000000 (/.f64 6765203681218851/10000000000000 z))) -698782001866861/800000000000)
(/.f64 943522900885677/5000000000000 z)
(-.f64 (.f64 943522900885677/5000000000000 (/.f64 1 z)) (.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1417538204164517/5000000000000 (*.f64 z z)))
(+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 -1417538204164517/5000000000000 (*.f64 z z)))
(-.f64 (+.f64 (.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (.f64 943522900885677/5000000000000 (/.f64 1 z))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))))
(+.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (-.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1417538204164517/5000000000000 (*.f64 z z))))
(+.f64 (/.f64 943522900885677/5000000000000 z) (+.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))))
(+.f64 (/.f64 943522900885677/5000000000000 z) (-.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (/.f64 1417538204164517/5000000000000 (*.f64 z z))))
(-.f64 (+.f64 (.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (.f64 943522900885677/5000000000000 (/.f64 1 z))) (+.f64 (.f64 2455724106749411/500000000000 (/.f64 1 (pow.f64 z 4))) (.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2)))))
(-.f64 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) (+.f64 (/.f64 1417538204164517/5000000000000 (*.f64 z z)) (/.f64 2455724106749411/500000000000 (pow.f64 z 4))))
(+.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (-.f64 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))) (/.f64 2455724106749411/500000000000 (pow.f64 z 4))))
(+.f64 (/.f64 943522900885677/5000000000000 z) (+.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (-.f64 (/.f64 -1417538204164517/5000000000000 (*.f64 z z)) (/.f64 2455724106749411/500000000000 (pow.f64 z 4)))))
(/.f64 943522900885677/5000000000000 z)
(-.f64 (.f64 943522900885677/5000000000000 (/.f64 1 z)) (.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1417538204164517/5000000000000 (*.f64 z z)))
(+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 -1417538204164517/5000000000000 (*.f64 z z)))
(-.f64 (+.f64 (.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (.f64 943522900885677/5000000000000 (/.f64 1 z))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))))
(+.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (-.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1417538204164517/5000000000000 (*.f64 z z))))
(+.f64 (/.f64 943522900885677/5000000000000 z) (+.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))))
(+.f64 (/.f64 943522900885677/5000000000000 z) (-.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (/.f64 1417538204164517/5000000000000 (*.f64 z z))))
(-.f64 (+.f64 (.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (.f64 943522900885677/5000000000000 (/.f64 1 z))) (+.f64 (.f64 2455724106749411/500000000000 (/.f64 1 (pow.f64 z 4))) (.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2)))))
(-.f64 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) (+.f64 (/.f64 1417538204164517/5000000000000 (*.f64 z z)) (/.f64 2455724106749411/500000000000 (pow.f64 z 4))))
(+.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (-.f64 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))) (/.f64 2455724106749411/500000000000 (pow.f64 z 4))))
(+.f64 (/.f64 943522900885677/5000000000000 z) (+.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (-.f64 (/.f64 -1417538204164517/5000000000000 (*.f64 z z)) (/.f64 2455724106749411/500000000000 (pow.f64 z 4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))) 1)
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))
(/.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 -13/2)) (exp.f64 z))
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))
(/.f64 (*.f64 (exp.f64 -13/2) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 z))
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))
(pow.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) 1)
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))) 2)
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))) 3)
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) 3) 1/3)
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) 2))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) 2))
(fabs.f64 (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (-.f64 -13/2 z))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))
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(pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z))) 1)
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))) 2)
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))) 3)
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))
(pow.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z))) 3) 1/3)
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z))) 2))
(fabs.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z))))
(log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z))) 3))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))
(exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))) 1))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))
(fma.f64 7713234287776531/10000000000000 (/.f64 1 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))
(fma.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (/.f64 1 (fma.f64 z z z)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))
(fma.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))
(fma.f64 1 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))
(fma.f64 (sqrt.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z))) (sqrt.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))
(fma.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z))) 2) (cbrt.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64)))))
✓	0.3b	(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64))))
✓	0.3b	(/.f64 (exp.f64 -13) (/.f64 (*.f64 z z) (PI.f64)))
✓	0.3b	(/.f64 (*.f64 z z) (PI.f64))

Compiler

Compiled 44 to 22 computations (50% saved)

series8.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	z	@	inf	(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64))))
1.0ms	z	@	0	(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64)))))
1.0ms	z	@	0	(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64))))
1.0ms	z	@	inf	(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64)))))
1.0ms	z	@	inf	(/.f64 (*.f64 z z) (PI.f64))

rewrite166.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1136×	`associate-/r/`
1008×	`unswap-sqr`
954×	`swap-sqr`
448×	`associate-/l/`
368×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	106
1	292	104
2	3829	104

Stop Event

1×	node limit

Counts

4 → 232

Calls

Call 1

Inputs
(/.f64 (*.f64 z z) (PI.f64))
(/.f64 (exp.f64 -13) (/.f64 (*.f64 z z) (PI.f64)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64)))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 z (PI.f64)) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 z (.f64 z (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 z (.f64 1 (/.f64 z (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 z z) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 z z) (neg.f64 (/.f64 -1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 z (PI.f64)) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 z (PI.f64)) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 z (sqrt.f64 (PI.f64))) (/.f64 z (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 z (sqrt.f64 (PI.f64))) (neg.f64 (/.f64 (neg.f64 z) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 z (PI.f64)) z)) (cbrt.f64 (/.f64 (pow.f64 z 4) (pow.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (pow.f64 z 4) (pow.f64 (PI.f64) 2))) (cbrt.f64 (.f64 (/.f64 z (PI.f64)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (pow.f64 z 4) (pow.f64 (PI.f64) 2))) (neg.f64 (neg.f64 (cbrt.f64 (.f64 (/.f64 z (PI.f64)) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 z 4)) (.f64 (cbrt.f64 (.f64 z z)) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (PI.f64)) (.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 z (neg.f64 z)) (/.f64 -1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (/.f64 z (PI.f64)) (neg.f64 z))) (neg.f64 (sqrt.f64 (.f64 (/.f64 z (PI.f64)) (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (.f64 (/.f64 z (PI.f64)) (neg.f64 z))) (cbrt.f64 (.f64 (/.f64 z (PI.f64)) (neg.f64 z)))) (neg.f64 (cbrt.f64 (.f64 (/.f64 z (PI.f64)) (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 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pow.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 z (sqrt.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 z (sqrt.f64 (PI.f64))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 z (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 z (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 z (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 z (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 z (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 z (sqrt.f64 (PI.f64))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 z (sqrt.f64 (PI.f64))))))))))

simplify152.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1254×	`distribute-rgt-in`
1242×	`distribute-lft-in`
872×	`*-commutative`
760×	`associate-r`
742×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	547	9378
1	1600	9120
2	6064	9120

Stop Event

1×	node limit

Counts

280 → 320

Calls

Call 1

Inputs
(/.f64 (pow.f64 z 2) (PI.f64))
(/.f64 (pow.f64 z 2) (PI.f64))
(/.f64 (pow.f64 z 2) (PI.f64))
(/.f64 (pow.f64 z 2) (PI.f64))
(/.f64 (pow.f64 z 2) (PI.f64))
(/.f64 (pow.f64 z 2) (PI.f64))
(/.f64 (pow.f64 z 2) (PI.f64))
(/.f64 (pow.f64 z 2) (PI.f64))
(/.f64 (pow.f64 z 2) (PI.f64))
(/.f64 (pow.f64 z 2) (PI.f64))
(/.f64 (pow.f64 z 2) (PI.f64))
(/.f64 (pow.f64 z 2) (PI.f64))
(/.f64 (*.f64 (PI.f64) (exp.f64 -13)) (pow.f64 z 2))
(/.f64 (*.f64 (PI.f64) (exp.f64 -13)) (pow.f64 z 2))
(/.f64 (*.f64 (PI.f64) (exp.f64 -13)) (pow.f64 z 2))
(/.f64 (*.f64 (PI.f64) (exp.f64 -13)) (pow.f64 z 2))
(/.f64 (*.f64 (PI.f64) (exp.f64 -13)) (pow.f64 z 2))
(/.f64 (*.f64 (PI.f64) (exp.f64 -13)) (pow.f64 z 2))
(/.f64 (*.f64 (PI.f64) (exp.f64 -13)) (pow.f64 z 2))
(/.f64 (*.f64 (PI.f64) (exp.f64 -13)) (pow.f64 z 2))
(/.f64 (*.f64 (PI.f64) (exp.f64 -13)) (pow.f64 z 2))
(/.f64 (*.f64 (PI.f64) (exp.f64 -13)) (pow.f64 z 2))
(/.f64 (*.f64 (PI.f64) (exp.f64 -13)) (pow.f64 z 2))
(/.f64 (*.f64 (PI.f64) (exp.f64 -13)) (pow.f64 z 2))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (.f64 (PI.f64) (exp.f64 -13)) (pow.f64 z 2)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (.f64 (PI.f64) (exp.f64 -13)) (pow.f64 z 2)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (.f64 (PI.f64) (exp.f64 -13)) (pow.f64 z 2)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (.f64 (PI.f64) (exp.f64 -13)) (pow.f64 z 2)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (.f64 (PI.f64) (exp.f64 -13)) (pow.f64 z 2)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (.f64 (PI.f64) (exp.f64 -13)) (pow.f64 z 2)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (.f64 (PI.f64) (exp.f64 -13)) (pow.f64 z 2)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (.f64 (PI.f64) (exp.f64 -13)) (pow.f64 z 2)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (.f64 (PI.f64) (exp.f64 -13)) (pow.f64 z 2)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (.f64 (PI.f64) (exp.f64 -13)) (pow.f64 z 2)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (.f64 (PI.f64) (exp.f64 -13)) (pow.f64 z 2)))
(.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (.f64 (PI.f64) (exp.f64 -13)) (pow.f64 z 2)))
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(.f64 (/.f64 (sqrt.f64 45767980848377092942628957760201/325000000000000000000000000) z) (sqrt.f64 (.f64 (PI.f64) (exp.f64 -13))))
(.f64 (/.f64 (sqrt.f64 45767980848377092942628957760201/325000000000000000000000000) z) (sqrt.f64 (.f64 (PI.f64) (exp.f64 -13))))
(.f64 (/.f64 (sqrt.f64 45767980848377092942628957760201/325000000000000000000000000) z) (sqrt.f64 (.f64 (PI.f64) (exp.f64 -13))))
(.f64 (/.f64 (sqrt.f64 45767980848377092942628957760201/325000000000000000000000000) z) (sqrt.f64 (.f64 (PI.f64) (exp.f64 -13))))
(.f64 (/.f64 (sqrt.f64 45767980848377092942628957760201/325000000000000000000000000) z) (sqrt.f64 (.f64 (PI.f64) (exp.f64 -13))))
(.f64 (/.f64 (sqrt.f64 45767980848377092942628957760201/325000000000000000000000000) z) (sqrt.f64 (.f64 (PI.f64) (exp.f64 -13))))
(.f64 (/.f64 (sqrt.f64 45767980848377092942628957760201/325000000000000000000000000) z) (sqrt.f64 (.f64 (PI.f64) (exp.f64 -13))))
(.f64 -1 (.f64 (/.f64 (sqrt.f64 45767980848377092942628957760201/325000000000000000000000000) z) (sqrt.f64 (*.f64 (exp.f64 -13) (PI.f64)))))
(.f64 -1 (.f64 (/.f64 (sqrt.f64 45767980848377092942628957760201/325000000000000000000000000) z) (sqrt.f64 (*.f64 (exp.f64 -13) (PI.f64)))))
(.f64 -1 (.f64 (/.f64 (sqrt.f64 45767980848377092942628957760201/325000000000000000000000000) z) (sqrt.f64 (*.f64 (exp.f64 -13) (PI.f64)))))
(.f64 -1 (.f64 (/.f64 (sqrt.f64 45767980848377092942628957760201/325000000000000000000000000) z) (sqrt.f64 (*.f64 (exp.f64 -13) (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 z (PI.f64)) z))) 1)
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(.f64 (.f64 z z) (neg.f64 (/.f64 -1 (PI.f64))))
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(.f64 1 (.f64 (/.f64 z (PI.f64)) z))
(*.f64 (/.f64 z (sqrt.f64 (PI.f64))) (/.f64 z (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 z (sqrt.f64 (PI.f64))) (neg.f64 (/.f64 (neg.f64 z) (sqrt.f64 (PI.f64)))))
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(.f64 (cbrt.f64 (/.f64 (pow.f64 z 4) (pow.f64 (PI.f64) 2))) (cbrt.f64 (.f64 (/.f64 z (PI.f64)) z)))
(.f64 (cbrt.f64 (/.f64 (pow.f64 z 4) (pow.f64 (PI.f64) 2))) (neg.f64 (neg.f64 (cbrt.f64 (.f64 (/.f64 z (PI.f64)) z)))))
(.f64 (cbrt.f64 (pow.f64 z 4)) (.f64 (cbrt.f64 (*.f64 z z)) (/.f64 1 (PI.f64))))
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(*.f64 (/.f64 z (PI.f64)) z)
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(*.f64 (/.f64 (neg.f64 z) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 z) (sqrt.f64 (PI.f64))))
(.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 z 4) (pow.f64 (PI.f64) 2)))) (neg.f64 (cbrt.f64 (.f64 (/.f64 z (PI.f64)) z))))
(.f64 (/.f64 -1 (PI.f64)) (.f64 z (neg.f64 z)))
(.f64 (.f64 1 (/.f64 z (PI.f64))) z)
(*.f64 (/.f64 z 1) (/.f64 z (PI.f64)))
(*.f64 (/.f64 z (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 z (cbrt.f64 (PI.f64))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 z 4)) 1) (/.f64 (cbrt.f64 (.f64 z z)) (PI.f64)))
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(*.f64 (/.f64 z (neg.f64 (PI.f64))) (neg.f64 z))
(*.f64 (/.f64 z (/.f64 (PI.f64) 1)) z)
(*.f64 (/.f64 z (/.f64 (PI.f64) (sqrt.f64 z))) (sqrt.f64 z))
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(.f64 (/.f64 1 (/.f64 1 (.f64 z z))) (/.f64 1 (PI.f64)))
(.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 z 4) (pow.f64 (PI.f64) 2))))) (cbrt.f64 (.f64 (/.f64 z (PI.f64)) z)))
(*.f64 (/.f64 (sqrt.f64 z) (/.f64 (PI.f64) z)) (sqrt.f64 z))
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(.f64 (neg.f64 (.f64 (cbrt.f64 (.f64 (/.f64 z (PI.f64)) (neg.f64 z))) (cbrt.f64 (.f64 (/.f64 z (PI.f64)) (neg.f64 z))))) (cbrt.f64 (*.f64 (/.f64 z (PI.f64)) (neg.f64 z))))
(*.f64 (neg.f64 (/.f64 (neg.f64 z) (sqrt.f64 (PI.f64)))) (/.f64 z (sqrt.f64 (PI.f64))))
(.f64 (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 z 4) (pow.f64 (PI.f64) 2))))) (cbrt.f64 (.f64 (/.f64 z (PI.f64)) z)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (/.f64 z (PI.f64)) z))) (cbrt.f64 (.f64 (/.f64 z (PI.f64)) z))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (/.f64 z (PI.f64)) z))) (cbrt.f64 (*.f64 (/.f64 z (PI.f64)) z))))
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(.f64 (.f64 (sqrt.f64 (/.f64 1 (PI.f64))) z) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) z))
(pow.f64 (*.f64 (/.f64 z (PI.f64)) z) 1)
(pow.f64 (/.f64 z (sqrt.f64 (PI.f64))) 2)
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(pow.f64 (pow.f64 (*.f64 (/.f64 z (PI.f64)) z) 3) 1/3)
(pow.f64 (/.f64 (PI.f64) (*.f64 z z)) -1)
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(-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (.f64 z z))))) 1)
(.f64 (PI.f64) (/.f64 (exp.f64 -13) (.f64 z z)))
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(.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (*.f64 z z))) 1)
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Outputs
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(.f64 (cbrt.f64 (.f64 (/.f64 (exp.f64 -13) (/.f64 z 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 (PI.f64) z))) (.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 (exp.f64 -13) (/.f64 z 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 (PI.f64) z)) 1/4)) (cbrt.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 -13) (/.f64 z 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 (PI.f64) z)) 1/4))))
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 z (sqrt.f64 (PI.f64))))
(pow.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (*.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000) 1/2)
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) 45767980848377092942628957760201/325000000000000000000000000)))
(sqrt.f64 (*.f64 (/.f64 (exp.f64 -13) (/.f64 z 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 (PI.f64) z)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 z (sqrt.f64 (PI.f64)))) 1)
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 z (sqrt.f64 (PI.f64))))
(pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (*.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000) 1/4) 2)
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) 45767980848377092942628957760201/325000000000000000000000000)))
(sqrt.f64 (*.f64 (/.f64 (exp.f64 -13) (/.f64 z 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 (PI.f64) z)))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 z (sqrt.f64 (PI.f64))))) 3)
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 z (sqrt.f64 (PI.f64))))
(pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (*.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000) 3/2) 1/3)
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) 45767980848377092942628957760201/325000000000000000000000000)) 3/2))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 -13) (/.f64 z 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 (PI.f64) z)) 3/2))
(fabs.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 z (sqrt.f64 (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 z (sqrt.f64 (PI.f64))))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 z (sqrt.f64 (PI.f64))))))
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 z (sqrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 z (sqrt.f64 (PI.f64)))))))
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 z (sqrt.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (*.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000) 3/2))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) 45767980848377092942628957760201/325000000000000000000000000)) 3/2))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 -13) (/.f64 z 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 (PI.f64) z)) 3/2))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 z (sqrt.f64 (PI.f64))))))
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 z (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 z (sqrt.f64 (PI.f64))))))
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 z (sqrt.f64 (PI.f64))))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000)) 1/2))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) 45767980848377092942628957760201/325000000000000000000000000)))
(sqrt.f64 (*.f64 (/.f64 (exp.f64 -13) (/.f64 z 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 (PI.f64) z)))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 z (sqrt.f64 (PI.f64))))) 1))
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 z (sqrt.f64 (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 z (sqrt.f64 (PI.f64))))))
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 z (sqrt.f64 (PI.f64))))

localize144.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))
	0.8b	(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.0b	(exp.f64 (neg.f64 (+.f64 z 13/2)))

Compiler

Compiled 305 to 232 computations (23.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))
0.0ms	z	@	inf	(pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))
0.0ms	z	@	-inf	(pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))

rewrite69.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

794×	`*-commutative`
782×	`associate-*r/`
644×	`unswap-sqr`
544×	`associate-*l/`
452×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	189	19
2	2474	19

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

Inputs
(pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 1 (+.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) (+.f64 z -1/2)) (pow.f64 (sqrt.f64 (+.f64 z 13/2)) (+.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 (*.f64 2 z) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 (*.f64 2 z) -1))) (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 z 13/2) z) (pow.f64 (+.f64 z 13/2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 z 13/2) -1/2) (pow.f64 (+.f64 z 13/2) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (+.f64 z -1/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2) (+.f64 z -1/2)) (pow.f64 (cbrt.f64 (+.f64 z 13/2)) (+.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) (+.f64 z -1/2)) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2) (+.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (/.f64 (+.f64 z -1/2) 4)) (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) (+.f64 z -1/2)))) (*.f64 (pow.f64 (+.f64 z 13/2) (/.f64 (+.f64 z -1/2) 4)) (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) (+.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) (*.f64 (+.f64 z -1/2) 1/2)) (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 z 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egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 (*.f64 2 z) -1)))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) (+.f64 z -1/2)))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 (*.f64 2 z) -1)))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) (+.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (/.f64 z 2)) (sqrt.f64 (pow.f64 (+.f64 z 13/2) -1/2))) (*.f64 (pow.f64 (+.f64 z 13/2) (/.f64 z 2)) (sqrt.f64 (pow.f64 (+.f64 z 13/2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) z) (sqrt.f64 (pow.f64 (+.f64 z 13/2) -1/2))) (*.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) z) (sqrt.f64 (pow.f64 (+.f64 z 13/2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) z)) (pow.f64 (+.f64 z 13/2) -1/4)) (*.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) z)) (pow.f64 (+.f64 z 13/2) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (/.f64 z 2)) (pow.f64 (+.f64 z 13/2) -1/4)) (*.f64 (pow.f64 (+.f64 z 13/2) (/.f64 z 2)) (pow.f64 (+.f64 z 13/2) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) z) (pow.f64 (+.f64 z 13/2) -1/4)) (*.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) z) (pow.f64 (+.f64 z 13/2) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) z)) (pow.f64 (sqrt.f64 (+.f64 z 13/2)) -1/2)) (*.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) z)) (pow.f64 (sqrt.f64 (+.f64 z 13/2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (/.f64 z 2)) (pow.f64 (sqrt.f64 (+.f64 z 13/2)) -1/2)) (*.f64 (pow.f64 (+.f64 z 13/2) (/.f64 z 2)) (pow.f64 (sqrt.f64 (+.f64 z 13/2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) z) (pow.f64 (sqrt.f64 (+.f64 z 13/2)) -1/2)) (*.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) z) (pow.f64 (sqrt.f64 (+.f64 z 13/2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 z 13/2) -1/4) (sqrt.f64 (pow.f64 (+.f64 z 13/2) z))) (*.f64 (pow.f64 (+.f64 z 13/2) -1/4) (sqrt.f64 (pow.f64 (+.f64 z 13/2) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) -1/2) (sqrt.f64 (pow.f64 (+.f64 z 13/2) z))) (*.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) -1/2) (sqrt.f64 (pow.f64 (+.f64 z 13/2) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) -1/2)) (pow.f64 (+.f64 z 13/2) (/.f64 z 2))) (*.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) -1/2)) (pow.f64 (+.f64 z 13/2) (/.f64 z 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 z 13/2) -1/4) (pow.f64 (+.f64 z 13/2) (/.f64 z 2))) (*.f64 (pow.f64 (+.f64 z 13/2) -1/4) (pow.f64 (+.f64 z 13/2) (/.f64 z 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) -1/2) (pow.f64 (+.f64 z 13/2) (/.f64 z 2))) (*.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) -1/2) (pow.f64 (+.f64 z 13/2) (/.f64 z 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) -1/2)) (pow.f64 (sqrt.f64 (+.f64 z 13/2)) z)) (*.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) -1/2)) (pow.f64 (sqrt.f64 (+.f64 z 13/2)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 z 13/2) -1/4) (pow.f64 (sqrt.f64 (+.f64 z 13/2)) z)) (*.f64 (pow.f64 (+.f64 z 13/2) -1/4) (pow.f64 (sqrt.f64 (+.f64 z 13/2)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) -1/2) (pow.f64 (sqrt.f64 (+.f64 z 13/2)) z)) (*.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) -1/2) (pow.f64 (sqrt.f64 (+.f64 z 13/2)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 3) 1/6) (pow.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) 2) (/.f64 (+.f64 z -1/2) 4)) (pow.f64 (pow.f64 (+.f64 z 13/2) 2) (/.f64 (+.f64 z -1/2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) (sqrt.f64 (+.f64 z -1/2))) (/.f64 (sqrt.f64 (+.f64 z -1/2)) 2)) (pow.f64 (pow.f64 (+.f64 z 13/2) (sqrt.f64 (+.f64 z -1/2))) (/.f64 (sqrt.f64 (+.f64 z -1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) (pow.f64 (cbrt.f64 (+.f64 z -1/2)) 2)) (/.f64 (cbrt.f64 (+.f64 z -1/2)) 2)) (pow.f64 (pow.f64 (+.f64 z 13/2) (pow.f64 (cbrt.f64 (+.f64 z -1/2)) 2)) (/.f64 (cbrt.f64 (+.f64 z -1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) (exp.f64 (log1p.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 (*.f64 2 z) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))))

simplify75.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1020×	`distribute-lft-in`
978×	`distribute-rgt-in`
882×	`associate-+r+`
824×	`associate-+l+`
684×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	184	3089
1	514	2265
2	1442	2225
3	3227	2187

Stop Event

1×	node limit

Counts

63 → 101

Calls

Call 1

Inputs
(sqrt.f64 2/13)
(+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 z (sqrt.f64 2/13))) (sqrt.f64 2/13))
(+.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (.f64 (pow.f64 z 2) (sqrt.f64 2/13))) (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 z (sqrt.f64 2/13))) (sqrt.f64 2/13)))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (.f64 (pow.f64 z 3) (sqrt.f64 2/13))) (+.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (.f64 (pow.f64 z 2) (sqrt.f64 2/13))) (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 z (sqrt.f64 2/13))) (sqrt.f64 2/13))))
(pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))
(pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))
(pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))
(pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))
(exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2))))
(exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2))))
(exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2))))
(exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) 1)
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 1)
(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 1 (+.f64 z -1/2)))
(*.f64 1 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) (+.f64 z -1/2)) (pow.f64 (sqrt.f64 (+.f64 z 13/2)) (+.f64 z -1/2)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 (.f64 2 z) -1))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 (.f64 2 z) -1))) (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))
(*.f64 (pow.f64 (+.f64 z 13/2) z) (pow.f64 (+.f64 z 13/2) -1/2))
(*.f64 (pow.f64 (+.f64 z 13/2) -1/2) (pow.f64 (+.f64 z 13/2) z))
(*.f64 (pow.f64 1 (+.f64 z -1/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2) (+.f64 z -1/2)) (pow.f64 (cbrt.f64 (+.f64 z 13/2)) (+.f64 z -1/2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) (+.f64 z -1/2)) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2) (+.f64 z -1/2)))
(.f64 (.f64 (pow.f64 (+.f64 z 13/2) (/.f64 (+.f64 z -1/2) 4)) (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) (+.f64 z -1/2)))) (*.f64 (pow.f64 (+.f64 z 13/2) (/.f64 (+.f64 z -1/2) 4)) (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) (+.f64 z -1/2)))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) (.f64 (+.f64 z -1/2) 1/2)) (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) (+.f64 z -1/2)))) (.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) (*.f64 (+.f64 z -1/2) 1/2)) (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) (+.f64 z -1/2)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) (+.f64 z -1/2))) (pow.f64 (+.f64 z 13/2) (/.f64 (+.f64 z -1/2) 4))) (*.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) (+.f64 z -1/2))) (pow.f64 (+.f64 z 13/2) (/.f64 (+.f64 z -1/2) 4))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) (.f64 (+.f64 z -1/2) 1/2)) (pow.f64 (+.f64 z 13/2) (/.f64 (+.f64 z -1/2) 4))) (.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) (*.f64 (+.f64 z -1/2) 1/2)) (pow.f64 (+.f64 z 13/2) (/.f64 (+.f64 z -1/2) 4))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) (+.f64 z -1/2))) (pow.f64 (sqrt.f64 (+.f64 z 13/2)) (.f64 (+.f64 z -1/2) 1/2))) (.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) (+.f64 z -1/2))) (pow.f64 (sqrt.f64 (+.f64 z 13/2)) (*.f64 (+.f64 z -1/2) 1/2))))
(.f64 (.f64 (pow.f64 (+.f64 z 13/2) (/.f64 (+.f64 z -1/2) 4)) (pow.f64 (sqrt.f64 (+.f64 z 13/2)) (.f64 (+.f64 z -1/2) 1/2))) (.f64 (pow.f64 (+.f64 z 13/2) (/.f64 (+.f64 z -1/2) 4)) (pow.f64 (sqrt.f64 (+.f64 z 13/2)) (*.f64 (+.f64 z -1/2) 1/2))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) (+.f64 z -1/2))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 (.f64 2 z) -1))))) (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) (+.f64 z -1/2))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 (*.f64 2 z) -1))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 (.f64 2 z) -1)))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) (+.f64 z -1/2)))) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 (*.f64 2 z) -1)))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) (+.f64 z -1/2)))))
(.f64 (.f64 (pow.f64 (+.f64 z 13/2) (/.f64 z 2)) (sqrt.f64 (pow.f64 (+.f64 z 13/2) -1/2))) (*.f64 (pow.f64 (+.f64 z 13/2) (/.f64 z 2)) (sqrt.f64 (pow.f64 (+.f64 z 13/2) -1/2))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) z) (sqrt.f64 (pow.f64 (+.f64 z 13/2) -1/2))) (*.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) z) (sqrt.f64 (pow.f64 (+.f64 z 13/2) -1/2))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) z)) (pow.f64 (+.f64 z 13/2) -1/4)) (*.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) z)) (pow.f64 (+.f64 z 13/2) -1/4)))
(.f64 (.f64 (pow.f64 (+.f64 z 13/2) (/.f64 z 2)) (pow.f64 (+.f64 z 13/2) -1/4)) (*.f64 (pow.f64 (+.f64 z 13/2) (/.f64 z 2)) (pow.f64 (+.f64 z 13/2) -1/4)))
(.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) z) (pow.f64 (+.f64 z 13/2) -1/4)) (*.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) z) (pow.f64 (+.f64 z 13/2) -1/4)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) z)) (pow.f64 (sqrt.f64 (+.f64 z 13/2)) -1/2)) (*.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) z)) (pow.f64 (sqrt.f64 (+.f64 z 13/2)) -1/2)))
(.f64 (.f64 (pow.f64 (+.f64 z 13/2) (/.f64 z 2)) (pow.f64 (sqrt.f64 (+.f64 z 13/2)) -1/2)) (*.f64 (pow.f64 (+.f64 z 13/2) (/.f64 z 2)) (pow.f64 (sqrt.f64 (+.f64 z 13/2)) -1/2)))
(.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) z) (pow.f64 (sqrt.f64 (+.f64 z 13/2)) -1/2)) (*.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) z) (pow.f64 (sqrt.f64 (+.f64 z 13/2)) -1/2)))
(.f64 (.f64 (pow.f64 (+.f64 z 13/2) -1/4) (sqrt.f64 (pow.f64 (+.f64 z 13/2) z))) (*.f64 (pow.f64 (+.f64 z 13/2) -1/4) (sqrt.f64 (pow.f64 (+.f64 z 13/2) z))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) -1/2) (sqrt.f64 (pow.f64 (+.f64 z 13/2) z))) (*.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) -1/2) (sqrt.f64 (pow.f64 (+.f64 z 13/2) z))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) -1/2)) (pow.f64 (+.f64 z 13/2) (/.f64 z 2))) (*.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) -1/2)) (pow.f64 (+.f64 z 13/2) (/.f64 z 2))))
(.f64 (.f64 (pow.f64 (+.f64 z 13/2) -1/4) (pow.f64 (+.f64 z 13/2) (/.f64 z 2))) (*.f64 (pow.f64 (+.f64 z 13/2) -1/4) (pow.f64 (+.f64 z 13/2) (/.f64 z 2))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) -1/2) (pow.f64 (+.f64 z 13/2) (/.f64 z 2))) (*.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) -1/2) (pow.f64 (+.f64 z 13/2) (/.f64 z 2))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) -1/2)) (pow.f64 (sqrt.f64 (+.f64 z 13/2)) z)) (*.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) -1/2)) (pow.f64 (sqrt.f64 (+.f64 z 13/2)) z)))
(.f64 (.f64 (pow.f64 (+.f64 z 13/2) -1/4) (pow.f64 (sqrt.f64 (+.f64 z 13/2)) z)) (*.f64 (pow.f64 (+.f64 z 13/2) -1/4) (pow.f64 (sqrt.f64 (+.f64 z 13/2)) z)))
(.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) -1/2) (pow.f64 (sqrt.f64 (+.f64 z 13/2)) z)) (*.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) -1/2) (pow.f64 (sqrt.f64 (+.f64 z 13/2)) z)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 3/2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 3) 1/6) (pow.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 3) 1/6))
(*.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) 2) (/.f64 (+.f64 z -1/2) 4)) (pow.f64 (pow.f64 (+.f64 z 13/2) 2) (/.f64 (+.f64 z -1/2) 4)))
(*.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) (sqrt.f64 (+.f64 z -1/2))) (/.f64 (sqrt.f64 (+.f64 z -1/2)) 2)) (pow.f64 (pow.f64 (+.f64 z 13/2) (sqrt.f64 (+.f64 z -1/2))) (/.f64 (sqrt.f64 (+.f64 z -1/2)) 2)))
(*.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) (pow.f64 (cbrt.f64 (+.f64 z -1/2)) 2)) (/.f64 (cbrt.f64 (+.f64 z -1/2)) 2)) (pow.f64 (pow.f64 (+.f64 z 13/2) (pow.f64 (cbrt.f64 (+.f64 z -1/2)) 2)) (/.f64 (cbrt.f64 (+.f64 z -1/2)) 2)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) (exp.f64 (log1p.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) 1))
(sqrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 (*.f64 2 z) -1)))
(log.f64 (exp.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))
(exp.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))

Outputs
(sqrt.f64 2/13)
(+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 z (sqrt.f64 2/13))) (sqrt.f64 2/13))
(fma.f64 (+.f64 (log.f64 13/2) -1/13) (*.f64 (sqrt.f64 2/13) z) (sqrt.f64 2/13))
(.f64 (+.f64 (.f64 (+.f64 (log.f64 13/2) -1/13) z) 1) (sqrt.f64 2/13))
(*.f64 (sqrt.f64 2/13) (fma.f64 (+.f64 (log.f64 13/2) -1/13) z 1))
(+.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (.f64 (pow.f64 z 2) (sqrt.f64 2/13))) (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 z (sqrt.f64 2/13))) (sqrt.f64 2/13)))
(fma.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (.f64 (sqrt.f64 2/13) (.f64 z z)) (fma.f64 (+.f64 (log.f64 13/2) -1/13) (.f64 (sqrt.f64 2/13) z) (sqrt.f64 2/13)))
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(*.f64 (pow.f64 (+.f64 13/2 z) z) (/.f64 1 (sqrt.f64 (+.f64 13/2 z))))
(.f64 (.f64 (pow.f64 (+.f64 z 13/2) (/.f64 z 2)) (pow.f64 (sqrt.f64 (+.f64 z 13/2)) -1/2)) (*.f64 (pow.f64 (+.f64 z 13/2) (/.f64 z 2)) (pow.f64 (sqrt.f64 (+.f64 z 13/2)) -1/2)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (+.f64 13/2 z) z)) (pow.f64 (sqrt.f64 (+.f64 13/2 z)) -1/2)) (*.f64 (sqrt.f64 (pow.f64 (+.f64 13/2 z) z)) (pow.f64 (sqrt.f64 (+.f64 13/2 z)) -1/2)))
(*.f64 (pow.f64 (+.f64 13/2 z) z) (pow.f64 (sqrt.f64 (+.f64 13/2 z)) -1))
(*.f64 (pow.f64 (+.f64 13/2 z) z) (/.f64 1 (sqrt.f64 (+.f64 13/2 z))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) z) (pow.f64 (sqrt.f64 (+.f64 z 13/2)) -1/2)) (*.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) z) (pow.f64 (sqrt.f64 (+.f64 z 13/2)) -1/2)))
(.f64 (pow.f64 (sqrt.f64 (+.f64 13/2 z)) -1/2) (.f64 (pow.f64 (sqrt.f64 (+.f64 13/2 z)) z) (*.f64 (pow.f64 (sqrt.f64 (+.f64 13/2 z)) z) (pow.f64 (sqrt.f64 (+.f64 13/2 z)) -1/2))))
(.f64 (pow.f64 (sqrt.f64 (+.f64 13/2 z)) -1) (pow.f64 (sqrt.f64 (+.f64 13/2 z)) (.f64 z 2)))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 13/2 z))) (pow.f64 (sqrt.f64 (+.f64 13/2 z)) (.f64 z 2)))
(.f64 (.f64 (pow.f64 (+.f64 z 13/2) -1/4) (sqrt.f64 (pow.f64 (+.f64 z 13/2) z))) (*.f64 (pow.f64 (+.f64 z 13/2) -1/4) (sqrt.f64 (pow.f64 (+.f64 z 13/2) z))))
(*.f64 (pow.f64 (+.f64 13/2 z) z) (pow.f64 (+.f64 13/2 z) -1/2))
(.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) -1/2) (sqrt.f64 (pow.f64 (+.f64 z 13/2) z))) (*.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) -1/2) (sqrt.f64 (pow.f64 (+.f64 z 13/2) z))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (+.f64 13/2 z) z)) (pow.f64 (sqrt.f64 (+.f64 13/2 z)) -1/2)) (*.f64 (sqrt.f64 (pow.f64 (+.f64 13/2 z) z)) (pow.f64 (sqrt.f64 (+.f64 13/2 z)) -1/2)))
(*.f64 (pow.f64 (+.f64 13/2 z) z) (pow.f64 (sqrt.f64 (+.f64 13/2 z)) -1))
(*.f64 (pow.f64 (+.f64 13/2 z) z) (/.f64 1 (sqrt.f64 (+.f64 13/2 z))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) -1/2)) (pow.f64 (+.f64 z 13/2) (/.f64 z 2))) (*.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) -1/2)) (pow.f64 (+.f64 z 13/2) (/.f64 z 2))))
(*.f64 (pow.f64 (+.f64 13/2 z) z) (pow.f64 (+.f64 13/2 z) -1/2))
(.f64 (.f64 (pow.f64 (+.f64 z 13/2) -1/4) (pow.f64 (+.f64 z 13/2) (/.f64 z 2))) (*.f64 (pow.f64 (+.f64 z 13/2) -1/4) (pow.f64 (+.f64 z 13/2) (/.f64 z 2))))
(*.f64 (pow.f64 (+.f64 13/2 z) z) (pow.f64 (+.f64 13/2 z) -1/2))
(.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) -1/2) (pow.f64 (+.f64 z 13/2) (/.f64 z 2))) (*.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) -1/2) (pow.f64 (+.f64 z 13/2) (/.f64 z 2))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (+.f64 13/2 z) z)) (pow.f64 (sqrt.f64 (+.f64 13/2 z)) -1/2)) (*.f64 (sqrt.f64 (pow.f64 (+.f64 13/2 z) z)) (pow.f64 (sqrt.f64 (+.f64 13/2 z)) -1/2)))
(*.f64 (pow.f64 (+.f64 13/2 z) z) (pow.f64 (sqrt.f64 (+.f64 13/2 z)) -1))
(*.f64 (pow.f64 (+.f64 13/2 z) z) (/.f64 1 (sqrt.f64 (+.f64 13/2 z))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) -1/2)) (pow.f64 (sqrt.f64 (+.f64 z 13/2)) z)) (*.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) -1/2)) (pow.f64 (sqrt.f64 (+.f64 z 13/2)) z)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (+.f64 13/2 z) -1/2)) (pow.f64 (sqrt.f64 (+.f64 13/2 z)) z)) (*.f64 (sqrt.f64 (pow.f64 (+.f64 13/2 z) -1/2)) (pow.f64 (sqrt.f64 (+.f64 13/2 z)) z)))
(.f64 (pow.f64 (+.f64 13/2 z) -1/2) (pow.f64 (sqrt.f64 (+.f64 13/2 z)) (.f64 z 2)))
(.f64 (.f64 (pow.f64 (+.f64 z 13/2) -1/4) (pow.f64 (sqrt.f64 (+.f64 z 13/2)) z)) (*.f64 (pow.f64 (+.f64 z 13/2) -1/4) (pow.f64 (sqrt.f64 (+.f64 z 13/2)) z)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (+.f64 13/2 z) -1/2)) (pow.f64 (sqrt.f64 (+.f64 13/2 z)) z)) (*.f64 (sqrt.f64 (pow.f64 (+.f64 13/2 z) -1/2)) (pow.f64 (sqrt.f64 (+.f64 13/2 z)) z)))
(.f64 (pow.f64 (+.f64 13/2 z) -1/2) (pow.f64 (sqrt.f64 (+.f64 13/2 z)) (.f64 z 2)))
(.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) -1/2) (pow.f64 (sqrt.f64 (+.f64 z 13/2)) z)) (*.f64 (pow.f64 (sqrt.f64 (+.f64 z 13/2)) -1/2) (pow.f64 (sqrt.f64 (+.f64 z 13/2)) z)))
(.f64 (pow.f64 (sqrt.f64 (+.f64 13/2 z)) -1/2) (.f64 (pow.f64 (sqrt.f64 (+.f64 13/2 z)) z) (*.f64 (pow.f64 (sqrt.f64 (+.f64 13/2 z)) z) (pow.f64 (sqrt.f64 (+.f64 13/2 z)) -1/2))))
(.f64 (pow.f64 (sqrt.f64 (+.f64 13/2 z)) -1) (pow.f64 (sqrt.f64 (+.f64 13/2 z)) (.f64 z 2)))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 13/2 z))) (pow.f64 (sqrt.f64 (+.f64 13/2 z)) (.f64 z 2)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 3/2))
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 3) 1/6) (pow.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 3) 1/6))
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) 2) (/.f64 (+.f64 z -1/2) 4)) (pow.f64 (pow.f64 (+.f64 z 13/2) 2) (/.f64 (+.f64 z -1/2) 4)))
(pow.f64 (pow.f64 (+.f64 13/2 z) 2) (*.f64 2 (/.f64 (+.f64 z -1/2) 4)))
(pow.f64 (pow.f64 (+.f64 13/2 z) 2) (/.f64 (fma.f64 z 2 -1) 4))
(pow.f64 (pow.f64 (+.f64 13/2 z) 2) (/.f64 (+.f64 z -1/2) 2))
(pow.f64 (pow.f64 (+.f64 13/2 z) 2) (fma.f64 z 1/2 -1/4))
(*.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) (sqrt.f64 (+.f64 z -1/2))) (/.f64 (sqrt.f64 (+.f64 z -1/2)) 2)) (pow.f64 (pow.f64 (+.f64 z 13/2) (sqrt.f64 (+.f64 z -1/2))) (/.f64 (sqrt.f64 (+.f64 z -1/2)) 2)))
(pow.f64 (pow.f64 (+.f64 13/2 z) (sqrt.f64 (+.f64 z -1/2))) (*.f64 2 (/.f64 (sqrt.f64 (+.f64 z -1/2)) 2)))
(pow.f64 (pow.f64 (+.f64 13/2 z) (sqrt.f64 (+.f64 z -1/2))) (/.f64 2 (/.f64 2 (sqrt.f64 (+.f64 z -1/2)))))
(pow.f64 (pow.f64 (+.f64 13/2 z) (sqrt.f64 (+.f64 z -1/2))) (*.f64 1 (sqrt.f64 (+.f64 z -1/2))))
(*.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) (pow.f64 (cbrt.f64 (+.f64 z -1/2)) 2)) (/.f64 (cbrt.f64 (+.f64 z -1/2)) 2)) (pow.f64 (pow.f64 (+.f64 z 13/2) (pow.f64 (cbrt.f64 (+.f64 z -1/2)) 2)) (/.f64 (cbrt.f64 (+.f64 z -1/2)) 2)))
(pow.f64 (pow.f64 (+.f64 13/2 z) (pow.f64 (cbrt.f64 (+.f64 z -1/2)) 2)) (*.f64 2 (/.f64 (cbrt.f64 (+.f64 z -1/2)) 2)))
(pow.f64 (pow.f64 (+.f64 13/2 z) (pow.f64 (cbrt.f64 (+.f64 z -1/2)) 2)) (/.f64 (*.f64 2 (cbrt.f64 (+.f64 z -1/2))) 2))
(pow.f64 (pow.f64 (+.f64 13/2 z) (pow.f64 (cbrt.f64 (+.f64 z -1/2)) 2)) (*.f64 1 (cbrt.f64 (+.f64 z -1/2))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) (exp.f64 (log1p.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) 1))
(/.f64 (*.f64 (+.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))) 1) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))) 1))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))))) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))) 1))
(sqrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 (*.f64 2 z) -1)))
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))
(log.f64 (exp.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 3))
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))
(exp.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))))
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))

localize241.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (-.f64 z 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 z -6)) -1/2)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.0b	(exp.f64 (+.f64 (neg.f64 (-.f64 z -6)) -1/2))
✓	1.9b	(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))

Compiler

Compiled 566 to 457 computations (19.3% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
1.0ms	z	@	inf	(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
0.0ms	z	@	0	(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
0.0ms	z	@	0	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (-.f64 z 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 z -6)) -1/2)))
0.0ms	z	@	-inf	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (-.f64 z 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 z -6)) -1/2)))

rewrite72.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1086×	`add-sqr-sqrt`
1030×	`*-un-lft-identity`
1028×	`pow1`
1020×	`add-exp-log`
1020×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	166
1	1067	166

Stop Event

1×	node limit

Counts

2 → 17

Calls

Call 1

Inputs

(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 (-.f64 (*.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (-.f64 z 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 z -6)) -1/2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (sqrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) (*.f64 (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (-.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 3) (pow.f64 (/.f64 (-.f64 (/.f64 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simplify78.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1754×	`fma-def`
1222×	`distribute-lft-in`
1070×	`distribute-rgt-in`
998×	`*-commutative`
480×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	193	3645
1	566	3413
2	2162	3089

Stop Event

1×	node limit

Counts

41 → 68

Calls

Call 1

Inputs
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 18646983574419129/20000000000000)
(-.f64 (+.f64 (.f64 130311870198853951/120000000000000 z) (.f64 6765203681218851/10000000000000 (/.f64 1 z))) 18646983574419129/20000000000000)
(-.f64 (+.f64 (.f64 130311870198853951/120000000000000 z) (+.f64 (.f64 -841870861561131653/720000000000000 (pow.f64 z 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 18646983574419129/20000000000000)
(/.f64 30223877537487/2500000000000 z)
(+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (.f64 30223877537487/2500000000000 (/.f64 1 z)))
(+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 30223877537487/2500000000000 (/.f64 1 z)) (*.f64 1183096179644721/5000000000000 (/.f64 1 (pow.f64 z 3)))))
(-.f64 (+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 30223877537487/2500000000000 (/.f64 1 z)) (.f64 1183096179644721/5000000000000 (/.f64 1 (pow.f64 z 3))))) (.f64 714212130605129/5000000000000 (/.f64 1 (pow.f64 z 4))))
(/.f64 30223877537487/2500000000000 z)
(+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (.f64 30223877537487/2500000000000 (/.f64 1 z)))
(+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 30223877537487/2500000000000 (/.f64 1 z)) (*.f64 1183096179644721/5000000000000 (/.f64 1 (pow.f64 z 3)))))
(-.f64 (+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 30223877537487/2500000000000 (/.f64 1 z)) (.f64 1183096179644721/5000000000000 (/.f64 1 (pow.f64 z 3))))) (.f64 714212130605129/5000000000000 (/.f64 1 (pow.f64 z 4))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64)))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/2 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))))))) (pow.f64 z 3))) (sqrt.f64 (PI.f64))))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64)))
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(.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (sqrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))
(.f64 (.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))
(/.f64 (-.f64 (.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) (.f64 (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (-.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 3) (pow.f64 (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 3)) (+.f64 (.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) (-.f64 (.f64 (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))))
(pow.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) 1)
(log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))
(cbrt.f64 (.f64 (.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))
(exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))
(pow.f64 (.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (neg.f64 (+.f64 z 6)) -1/2))) 1)
(log.f64 (exp.f64 (.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (neg.f64 (+.f64 z 6)) -1/2)))))
(cbrt.f64 (.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (neg.f64 (+.f64 z 6)) -1/2))) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (neg.f64 (+.f64 z 6)) -1/2)))) (.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (neg.f64 (+.f64 z 6)) -1/2)))))
(expm1.f64 (log1p.f64 (.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (neg.f64 (+.f64 z 6)) -1/2)))))
(exp.f64 (log.f64 (.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (neg.f64 (+.f64 z 6)) -1/2)))))
(log1p.f64 (expm1.f64 (.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (neg.f64 (+.f64 z 6)) -1/2)))))

Outputs
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 18646983574419129/20000000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) -18646983574419129/20000000000000)
(-.f64 (+.f64 (.f64 130311870198853951/120000000000000 z) (.f64 6765203681218851/10000000000000 (/.f64 1 z))) 18646983574419129/20000000000000)
(+.f64 (fma.f64 130311870198853951/120000000000000 z (/.f64 6765203681218851/10000000000000 z)) -18646983574419129/20000000000000)
(+.f64 (fma.f64 z 130311870198853951/120000000000000 (/.f64 6765203681218851/10000000000000 z)) -18646983574419129/20000000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z 130311870198853951/120000000000000 -18646983574419129/20000000000000))
(-.f64 (+.f64 (.f64 130311870198853951/120000000000000 z) (+.f64 (.f64 -841870861561131653/720000000000000 (pow.f64 z 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 18646983574419129/20000000000000)
(+.f64 (fma.f64 130311870198853951/120000000000000 z (fma.f64 -841870861561131653/720000000000000 (*.f64 z z) (/.f64 6765203681218851/10000000000000 z))) -18646983574419129/20000000000000)
(+.f64 (fma.f64 z 130311870198853951/120000000000000 (fma.f64 -841870861561131653/720000000000000 (*.f64 z z) (/.f64 6765203681218851/10000000000000 z))) -18646983574419129/20000000000000)
(+.f64 (fma.f64 z (*.f64 z -841870861561131653/720000000000000) (/.f64 6765203681218851/10000000000000 z)) (fma.f64 z 130311870198853951/120000000000000 -18646983574419129/20000000000000))
(/.f64 30223877537487/2500000000000 z)
(+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (.f64 30223877537487/2500000000000 (/.f64 1 z)))
(+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (/.f64 30223877537487/2500000000000 z))
(+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 30223877537487/2500000000000 (/.f64 1 z)) (*.f64 1183096179644721/5000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (+.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 1183096179644721/5000000000000 (pow.f64 z 3))))
(-.f64 (+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 30223877537487/2500000000000 (/.f64 1 z)) (.f64 1183096179644721/5000000000000 (/.f64 1 (pow.f64 z 3))))) (.f64 714212130605129/5000000000000 (/.f64 1 (pow.f64 z 4))))
(+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (-.f64 (+.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 1183096179644721/5000000000000 (pow.f64 z 3))) (/.f64 714212130605129/5000000000000 (pow.f64 z 4))))
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(/.f64 30223877537487/2500000000000 z)
(+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (.f64 30223877537487/2500000000000 (/.f64 1 z)))
(+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (/.f64 30223877537487/2500000000000 z))
(+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 30223877537487/2500000000000 (/.f64 1 z)) (*.f64 1183096179644721/5000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (+.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 1183096179644721/5000000000000 (pow.f64 z 3))))
(-.f64 (+.f64 (.f64 153960904158449/625000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 30223877537487/2500000000000 (/.f64 1 z)) (.f64 1183096179644721/5000000000000 (/.f64 1 (pow.f64 z 3))))) (.f64 714212130605129/5000000000000 (/.f64 1 (pow.f64 z 4))))
(+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (-.f64 (+.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 1183096179644721/5000000000000 (pow.f64 z 3))) (/.f64 714212130605129/5000000000000 (pow.f64 z 4))))
(+.f64 (+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (/.f64 30223877537487/2500000000000 z)) (+.f64 (/.f64 1183096179644721/5000000000000 (pow.f64 z 3)) (/.f64 -714212130605129/5000000000000 (pow.f64 z 4))))
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(.f64 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2/13) (*.f64 (exp.f64 -13/2) (sqrt.f64 (PI.f64)))))
(.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))
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(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 z (.f64 (sqrt.f64 2/13) (*.f64 (exp.f64 -13/2) (+.f64 (log.f64 13/2) -14/13))))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64)))))
(fma.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 z z) (fma.f64 1/2 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (fma.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (neg.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (log.f64 13/2) -1/13))))))) (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 (sqrt.f64 2) (.f64 z (.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (.f64 (.f64 z (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (log.f64 13/2) -14/13)))) (.f64 (-.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 1/2 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169))) (.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (+.f64 (log.f64 13/2) -1/13)))) (.f64 (*.f64 z z) (sqrt.f64 2)))))
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(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 z) z) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 2)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 3147848041806007/2500000000000 (+.f64 z 1))))))
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 2)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 3147848041806007/2500000000000 (+.f64 z 1))))))
(pow.f64 (.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (neg.f64 (+.f64 z 6)) -1/2))) 1)
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 -1/2 (+.f64 (neg.f64 z) -6)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 -13/2 z))))
(log.f64 (exp.f64 (.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (neg.f64 (+.f64 z 6)) -1/2)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 -1/2 (+.f64 (neg.f64 z) -6)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 -13/2 z))))
(cbrt.f64 (.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (neg.f64 (+.f64 z 6)) -1/2))) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (neg.f64 (+.f64 z 6)) -1/2)))) (.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (neg.f64 (+.f64 z 6)) -1/2)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 -1/2 (+.f64 (neg.f64 z) -6)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 -13/2 z))))
(expm1.f64 (log1p.f64 (.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (neg.f64 (+.f64 z 6)) -1/2)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 -1/2 (+.f64 (neg.f64 z) -6)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 -13/2 z))))
(exp.f64 (log.f64 (.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (neg.f64 (+.f64 z 6)) -1/2)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 -1/2 (+.f64 (neg.f64 z) -6)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 -13/2 z))))
(log1p.f64 (expm1.f64 (.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (neg.f64 (+.f64 z 6)) -1/2)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 -1/2 (+.f64 (neg.f64 z) -6)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 -13/2 z))))

localize191.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.0b	(exp.f64 (-.f64 -13/2 z))
✓	1.6b	(+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))

Compiler

Compiled 433 to 333 computations (23.1% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))
1.0ms	z	@	-inf	(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))
1.0ms	z	@	inf	(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))
0.0ms	z	@	0	(+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
0.0ms	z	@	inf	(+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))

rewrite89.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1254×	`add-sqr-sqrt`
1194×	`add-exp-log`
1194×	`add-log-exp`
1190×	`add-cbrt-cube`
1190×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	166
1	1218	166

Stop Event

1×	node limit

Counts

2 → 21

Calls

Call 1

Inputs

(+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))

(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (sqrt.f64 (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 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2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z))) (*.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (-.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) 3) (pow.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 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-883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (*.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 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((#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 -13/2 z)) (/.f64 1 (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))) (sqrt.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))) (cbrt.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))))) (cbrt.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))))))))

simplify85.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1390×	`fma-def`
900×	`*-commutative`
858×	`associate-+l+`
760×	`associate-+r+`
684×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	206	4227
1	566	4075
2	2335	3687

Stop Event

1×	node limit

Counts

45 → 67

Calls

Call 1

Inputs
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 487856279103252796991017613/525000000000000000000000)
(-.f64 (+.f64 (.f64 6765203681218851/10000000000000 (/.f64 1 z)) (.f64 373870182501661212981625127/344531250000000000000000 z)) 487856279103252796991017613/525000000000000000000000)
(-.f64 (+.f64 (.f64 -541338218559767156914609007209/463050000000000000000000000 (pow.f64 z 2)) (+.f64 (.f64 6765203681218851/10000000000000 (/.f64 1 z)) (*.f64 373870182501661212981625127/344531250000000000000000 z))) 487856279103252796991017613/525000000000000000000000)
(/.f64 611458333333720910362579/25000000000000000000000 z)
(+.f64 (.f64 4925021701373474946951247/25000000000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)))
(+.f64 (.f64 10831820445529922198405471/25000000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 4925021701373474946951247/25000000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z))))
(-.f64 (+.f64 (.f64 10831820445529922198405471/25000000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 4925021701373474946951247/25000000000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)))) (.f64 23149830432895109321223497/25000000000000000000000 (/.f64 1 (pow.f64 z 4))))
(/.f64 611458333333720910362579/25000000000000000000000 z)
(+.f64 (.f64 4925021701373474946951247/25000000000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)))
(+.f64 (.f64 10831820445529922198405471/25000000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 4925021701373474946951247/25000000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z))))
(-.f64 (+.f64 (.f64 10831820445529922198405471/25000000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 4925021701373474946951247/25000000000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)))) (.f64 23149830432895109321223497/25000000000000000000000 (/.f64 1 (pow.f64 z 4))))
(*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))
(+.f64 (.f64 (-.f64 (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) (.f64 (sqrt.f64 13/2) (.f64 (pow.f64 (sqrt.f64 2/13) 2) (exp.f64 -13/2))))) z) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))
(+.f64 (.f64 (-.f64 (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) (.f64 (sqrt.f64 13/2) (.f64 (pow.f64 (sqrt.f64 2/13) 2) (exp.f64 -13/2))))) z) (+.f64 (.f64 (-.f64 (.f64 1/2 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) (.f64 (sqrt.f64 13/2) (.f64 (pow.f64 (sqrt.f64 2/13) 2) (exp.f64 -13/2))))) (.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) (.f64 (sqrt.f64 13/2) (sqrt.f64 2/13)))) (.f64 (sqrt.f64 13/2) (.f64 (-.f64 (.f64 1/2 (pow.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) 2)) 27/169) (.f64 (pow.f64 (sqrt.f64 2/13) 2) (exp.f64 -13/2)))))) (pow.f64 z 2)) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))))
(+.f64 (.f64 (-.f64 (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) (.f64 (sqrt.f64 13/2) (.f64 (pow.f64 (sqrt.f64 2/13) 2) (exp.f64 -13/2))))) z) (+.f64 (.f64 (-.f64 (.f64 1/2 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) (.f64 (sqrt.f64 13/2) (.f64 (pow.f64 (sqrt.f64 2/13) 2) (exp.f64 -13/2))))) (.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) (.f64 (sqrt.f64 13/2) (sqrt.f64 2/13)))) (.f64 (sqrt.f64 13/2) (.f64 (-.f64 (.f64 1/2 (pow.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) 2)) 27/169) (.f64 (pow.f64 (sqrt.f64 2/13) 2) (exp.f64 -13/2)))))) (pow.f64 z 2)) (+.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (.f64 (pow.f64 z 3) (-.f64 (.f64 -1/6 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) (.f64 (sqrt.f64 13/2) (.f64 (sqrt.f64 2/13) (-.f64 (.f64 1/2 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) (.f64 (-.f64 (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) (.f64 (sqrt.f64 13/2) (.f64 (pow.f64 (sqrt.f64 2/13) 2) (exp.f64 -13/2))))) (.f64 (sqrt.f64 13/2) (sqrt.f64 2/13)))) (.f64 (sqrt.f64 13/2) (.f64 (-.f64 (.f64 1/2 (pow.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) 2)) 27/169) (.f64 (pow.f64 (sqrt.f64 2/13) 2) (exp.f64 -13/2))))))))) (+.f64 (.f64 (+.f64 82/6591 (+.f64 (.f64 1/6 (pow.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) 3)) (.f64 -27/169 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13)))) (.f64 (sqrt.f64 13/2) (.f64 (pow.f64 (sqrt.f64 2/13) 2) (exp.f64 -13/2)))) (.f64 (-.f64 (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) (.f64 (sqrt.f64 13/2) (.f64 (pow.f64 (sqrt.f64 2/13) 2) (exp.f64 -13/2))))) (.f64 (sqrt.f64 13/2) (.f64 (-.f64 (.f64 1/2 (pow.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) 2)) 27/169) (sqrt.f64 2/13)))))))))))
(/.f64 (exp.f64 (neg.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)))
(/.f64 (exp.f64 (neg.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)))
(/.f64 (exp.f64 (neg.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)))
(/.f64 (exp.f64 (neg.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)))
(/.f64 (exp.f64 (-.f64 (.f64 -1 z) 13/2)) (exp.f64 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2))))
(/.f64 (exp.f64 (-.f64 (.f64 -1 z) 13/2)) (exp.f64 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2))))
(/.f64 (exp.f64 (-.f64 (.f64 -1 z) 13/2)) (exp.f64 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2))))
(/.f64 (exp.f64 (-.f64 (.f64 -1 z) 13/2)) (exp.f64 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2))))
(*.f64 1 (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (sqrt.f64 (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (cbrt.f64 (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (cbrt.f64 (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(/.f64 (-.f64 (.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z))) (.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (-.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) 3) (pow.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) 3)) (+.f64 (.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z))) (-.f64 (.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (*.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))
(pow.f64 (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(cbrt.f64 (.f64 (.f64 (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(exp.f64 (log.f64 (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(*.f64 (exp.f64 (-.f64 -13/2 z)) (/.f64 1 (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))))
(*.f64 1 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))))
(*.f64 (sqrt.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))) (sqrt.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))))
(.f64 (.f64 (cbrt.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))) (cbrt.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))))) (cbrt.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))))
(pow.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))) 1)
(log.f64 (exp.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))))
(cbrt.f64 (.f64 (.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))))
(exp.f64 (log.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))))

Outputs
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 487856279103252796991017613/525000000000000000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) -487856279103252796991017613/525000000000000000000000)
(-.f64 (+.f64 (.f64 6765203681218851/10000000000000 (/.f64 1 z)) (.f64 373870182501661212981625127/344531250000000000000000 z)) 487856279103252796991017613/525000000000000000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (*.f64 z 373870182501661212981625127/344531250000000000000000) 487856279103252796991017613/525000000000000000000000))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z 373870182501661212981625127/344531250000000000000000 -487856279103252796991017613/525000000000000000000000))
(-.f64 (+.f64 (.f64 -541338218559767156914609007209/463050000000000000000000000 (pow.f64 z 2)) (+.f64 (.f64 6765203681218851/10000000000000 (/.f64 1 z)) (*.f64 373870182501661212981625127/344531250000000000000000 z))) 487856279103252796991017613/525000000000000000000000)
(+.f64 (fma.f64 -541338218559767156914609007209/463050000000000000000000000 (.f64 z z) (+.f64 (/.f64 6765203681218851/10000000000000 z) (.f64 z 373870182501661212981625127/344531250000000000000000))) -487856279103252796991017613/525000000000000000000000)
(+.f64 (fma.f64 -541338218559767156914609007209/463050000000000000000000000 (*.f64 z z) (/.f64 6765203681218851/10000000000000 z)) (fma.f64 z 373870182501661212981625127/344531250000000000000000 -487856279103252796991017613/525000000000000000000000))
(+.f64 (fma.f64 z 373870182501661212981625127/344531250000000000000000 (/.f64 6765203681218851/10000000000000 z)) (fma.f64 z (*.f64 z -541338218559767156914609007209/463050000000000000000000000) -487856279103252796991017613/525000000000000000000000))
(/.f64 611458333333720910362579/25000000000000000000000 z)
(+.f64 (.f64 4925021701373474946951247/25000000000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)))
(+.f64 (/.f64 4925021701373474946951247/25000000000000000000000 (*.f64 z z)) (/.f64 611458333333720910362579/25000000000000000000000 z))
(+.f64 (.f64 10831820445529922198405471/25000000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 4925021701373474946951247/25000000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z))))
(+.f64 (+.f64 (/.f64 4925021701373474946951247/25000000000000000000000 (*.f64 z z)) (/.f64 611458333333720910362579/25000000000000000000000 z)) (/.f64 10831820445529922198405471/25000000000000000000000 (pow.f64 z 3)))
(+.f64 (+.f64 (/.f64 10831820445529922198405471/25000000000000000000000 (pow.f64 z 3)) (/.f64 611458333333720910362579/25000000000000000000000 z)) (/.f64 4925021701373474946951247/25000000000000000000000 (*.f64 z z)))
(+.f64 (/.f64 4925021701373474946951247/25000000000000000000000 (*.f64 z z)) (+.f64 (/.f64 611458333333720910362579/25000000000000000000000 z) (/.f64 10831820445529922198405471/25000000000000000000000 (pow.f64 z 3))))
(-.f64 (+.f64 (.f64 10831820445529922198405471/25000000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 4925021701373474946951247/25000000000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)))) (.f64 23149830432895109321223497/25000000000000000000000 (/.f64 1 (pow.f64 z 4))))
(+.f64 (/.f64 10831820445529922198405471/25000000000000000000000 (pow.f64 z 3)) (-.f64 (+.f64 (/.f64 4925021701373474946951247/25000000000000000000000 (*.f64 z z)) (/.f64 611458333333720910362579/25000000000000000000000 z)) (/.f64 23149830432895109321223497/25000000000000000000000 (pow.f64 z 4))))
(+.f64 (+.f64 (/.f64 4925021701373474946951247/25000000000000000000000 (*.f64 z z)) (/.f64 611458333333720910362579/25000000000000000000000 z)) (+.f64 (/.f64 10831820445529922198405471/25000000000000000000000 (pow.f64 z 3)) (/.f64 -23149830432895109321223497/25000000000000000000000 (pow.f64 z 4))))
(+.f64 (/.f64 4925021701373474946951247/25000000000000000000000 (*.f64 z z)) (-.f64 (+.f64 (/.f64 611458333333720910362579/25000000000000000000000 z) (/.f64 10831820445529922198405471/25000000000000000000000 (pow.f64 z 3))) (/.f64 23149830432895109321223497/25000000000000000000000 (pow.f64 z 4))))
(/.f64 611458333333720910362579/25000000000000000000000 z)
(+.f64 (.f64 4925021701373474946951247/25000000000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)))
(+.f64 (/.f64 4925021701373474946951247/25000000000000000000000 (*.f64 z z)) (/.f64 611458333333720910362579/25000000000000000000000 z))
(+.f64 (.f64 10831820445529922198405471/25000000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 4925021701373474946951247/25000000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z))))
(+.f64 (+.f64 (/.f64 4925021701373474946951247/25000000000000000000000 (*.f64 z z)) (/.f64 611458333333720910362579/25000000000000000000000 z)) (/.f64 10831820445529922198405471/25000000000000000000000 (pow.f64 z 3)))
(+.f64 (+.f64 (/.f64 10831820445529922198405471/25000000000000000000000 (pow.f64 z 3)) (/.f64 611458333333720910362579/25000000000000000000000 z)) (/.f64 4925021701373474946951247/25000000000000000000000 (*.f64 z z)))
(+.f64 (/.f64 4925021701373474946951247/25000000000000000000000 (*.f64 z z)) (+.f64 (/.f64 611458333333720910362579/25000000000000000000000 z) (/.f64 10831820445529922198405471/25000000000000000000000 (pow.f64 z 3))))
(-.f64 (+.f64 (.f64 10831820445529922198405471/25000000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 4925021701373474946951247/25000000000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)))) (.f64 23149830432895109321223497/25000000000000000000000 (/.f64 1 (pow.f64 z 4))))
(+.f64 (/.f64 10831820445529922198405471/25000000000000000000000 (pow.f64 z 3)) (-.f64 (+.f64 (/.f64 4925021701373474946951247/25000000000000000000000 (*.f64 z z)) (/.f64 611458333333720910362579/25000000000000000000000 z)) (/.f64 23149830432895109321223497/25000000000000000000000 (pow.f64 z 4))))
(+.f64 (+.f64 (/.f64 4925021701373474946951247/25000000000000000000000 (*.f64 z z)) (/.f64 611458333333720910362579/25000000000000000000000 z)) (+.f64 (/.f64 10831820445529922198405471/25000000000000000000000 (pow.f64 z 3)) (/.f64 -23149830432895109321223497/25000000000000000000000 (pow.f64 z 4))))
(+.f64 (/.f64 4925021701373474946951247/25000000000000000000000 (*.f64 z z)) (-.f64 (+.f64 (/.f64 611458333333720910362579/25000000000000000000000 z) (/.f64 10831820445529922198405471/25000000000000000000000 (pow.f64 z 3))) (/.f64 23149830432895109321223497/25000000000000000000000 (pow.f64 z 4))))
(*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))
(+.f64 (.f64 (-.f64 (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) (.f64 (sqrt.f64 13/2) (.f64 (pow.f64 (sqrt.f64 2/13) 2) (exp.f64 -13/2))))) z) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))
(fma.f64 (-.f64 (neg.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 13/2) (.f64 (exp.f64 -13/2) (pow.f64 (sqrt.f64 2/13) 2))))) z (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))
(fma.f64 z (-.f64 (.f64 (sqrt.f64 2/13) (neg.f64 (exp.f64 -13/2))) (.f64 (-.f64 1/13 (log.f64 13/2)) (.f64 (exp.f64 -13/2) (.f64 (sqrt.f64 13/2) 2/13)))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))
(fma.f64 z (.f64 (exp.f64 -13/2) (+.f64 (neg.f64 (sqrt.f64 2/13)) (.f64 (.f64 (sqrt.f64 13/2) 2/13) (+.f64 (log.f64 13/2) -1/13)))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))
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(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 (fma.f64 z -5826188486005177/10000000000000 6765203681218851/10000000000000) (fma.f64 z z z)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))
(cbrt.f64 (.f64 (.f64 (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 (fma.f64 z -5826188486005177/10000000000000 6765203681218851/10000000000000) (fma.f64 z z z)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 (fma.f64 z -5826188486005177/10000000000000 6765203681218851/10000000000000) (fma.f64 z z z)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))
(exp.f64 (log.f64 (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 (fma.f64 z -5826188486005177/10000000000000 6765203681218851/10000000000000) (fma.f64 z z z)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(+.f64 (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (fma.f64 z z z)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 (fma.f64 z -5826188486005177/10000000000000 6765203681218851/10000000000000) (fma.f64 z z z)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))
(*.f64 (exp.f64 (-.f64 -13/2 z)) (/.f64 1 (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))))
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))
(*.f64 1 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))))
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))
(*.f64 (sqrt.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))) (sqrt.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))))
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))
(.f64 (.f64 (cbrt.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))) (cbrt.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))))) (cbrt.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))))
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))
(pow.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))) 1)
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))
(log.f64 (exp.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))))
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))
(cbrt.f64 (.f64 (.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))))
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))))
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))
(exp.f64 (log.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))))
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))))
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))

eval1.1s (4.5%)

Compiler: Compiled 50541 to 39453 computations (21.9% saved)

prune628.0ms (2.6%)

Pruning

177 alts after pruning (168 fresh and 9 done)

	Pruned	Kept	Total
New	849	33	882
Fresh	13	135	148
Picked	0	1	1
Done	2	8	10
Total	864	177	1041

Error

0.1b

Counts

1041 → 177

Alt Table

Click to see full alt table

Status	Error	Program
	55.4b	(pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (*.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000) 3/2) 1/3)
	55.4b	(pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (*.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000) 1/4) 2)
	55.4b	(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (exp.f64 -13/2)) (/.f64 z (sqrt.f64 2/13)))
	55.4b	(/.f64 (.f64 6765203681218851/10000000000000 (exp.f64 -13/2)) (/.f64 (/.f64 z (sqrt.f64 2/13)) (sqrt.f64 (.f64 (PI.f64) 2))))
	2.6b	(.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (+.f64 z 13/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	55.4b	(.f64 (/.f64 (sqrt.f64 45767980848377092942628957760201/325000000000000000000000000) z) (sqrt.f64 (.f64 (PI.f64) (exp.f64 -13))))
	2.6b	(.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	2.8b	(.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (-.f64 -13/2 z)))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 z -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 z -7)))))
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	53.3b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
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	3.5b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (expm1.f64 (log1p.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (+.f64 (*.f64 z z) z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))))
	3.6b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (log.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))))
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	55.4b	(sqrt.f64 (/.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (.f64 (/.f64 z (exp.f64 -13)) (*.f64 z 13/2))))
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	55.4b	(sqrt.f64 (/.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 z (*.f64 (exp.f64 -13) (/.f64 (PI.f64) z)))))
	55.4b	(sqrt.f64 (/.f64 2/13 (/.f64 z (.f64 (/.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13)))))
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	55.4b	(sqrt.f64 (.f64 (/.f64 (exp.f64 -13) (.f64 (/.f64 z 2/13) z)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
	55.4b	(sqrt.f64 (.f64 (/.f64 1 (/.f64 (.f64 (.f64 z 13/2) z) (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
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✓	55.4b	(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (/.f64 (exp.f64 -13) z)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
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	55.4b	(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (exp.f64 (-.f64 -13 (log.f64 z)))) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
	55.4b	(sqrt.f64 (.f64 (.f64 (.f64 (/.f64 1 z) 2/13) (/.f64 (exp.f64 -13) z)) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
	55.4b	(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) 45767980848377092942628957760201/325000000000000000000000000)))
	55.4b	(sqrt.f64 (.f64 (PI.f64) (.f64 2 (/.f64 (.f64 45767980848377092942628957760201/100000000000000000000000000 (exp.f64 -13)) (.f64 (/.f64 z 2/13) z)))))
✓	55.4b	(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64)))))
	55.4b	(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (.f64 (/.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 1 (PI.f64))))))
	55.4b	(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) (PI.f64))))
	55.4b	(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (exp.f64 -13) z) (/.f64 (PI.f64) z))))
	55.4b	(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (PI.f64) (*.f64 z z)) (exp.f64 -13))))
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Compiler

Compiled 11382 to 9465 computations (16.8% saved)

regimes1.5s (6.5%)

Counts

245 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (PI.f64) (*.f64 z z)) (exp.f64 -13))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (exp.f64 -13) z) (/.f64 (PI.f64) z))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) (PI.f64))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64)))))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) 45767980848377092942628957760201/325000000000000000000000000)))
(sqrt.f64 (*.f64 (/.f64 (exp.f64 -13) (/.f64 z 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 (PI.f64) z)))
(sqrt.f64 (/.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 z (*.f64 (exp.f64 -13) (/.f64 (PI.f64) z)))))
(sqrt.f64 (/.f64 (.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000) (.f64 (/.f64 z (PI.f64)) z)))
(sqrt.f64 (/.f64 (/.f64 (exp.f64 -13) z) (/.f64 (/.f64 z 45767980848377092942628957760201/325000000000000000000000000) (PI.f64))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 1 z) (*.f64 (exp.f64 -13) (/.f64 (PI.f64) z)))))
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (/.f64 (exp.f64 -13) z)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 2/13 (.f64 z (/.f64 z (exp.f64 -13)))) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (exp.f64 -13) (.f64 (/.f64 z 2/13) z)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) 2/13)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (.f64 2/13 (/.f64 (exp.f64 -13) z)) z) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (/.f64 2/13 z) (/.f64 z (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (/.f64 (exp.f64 -13) (.f64 z z)) 13/2) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (/.f64 2/13 (/.f64 z (.f64 (/.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13)))))
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(sqrt.f64 (/.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (*.f64 z (/.f64 z 2/13))))
(sqrt.f64 (/.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (*.f64 2/13 (/.f64 (exp.f64 -13) z))) z))
(sqrt.f64 (/.f64 (.f64 (/.f64 (exp.f64 -13) z) 45767980848377092942628957760201/50000000000000000000000000) (/.f64 (.f64 z 13/2) (PI.f64))))
(sqrt.f64 (.f64 (/.f64 -2/13 (/.f64 (neg.f64 z) (/.f64 (exp.f64 -13) z))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 2 (/.f64 (.f64 45767980848377092942628957760201/100000000000000000000000000 (exp.f64 -13)) (.f64 (/.f64 z 2/13) z)))))
(sqrt.f64 (.f64 (.f64 (PI.f64) 2) (*.f64 45767980848377092942628957760201/100000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 z (/.f64 2/13 z))))))
(sqrt.f64 (.f64 (.f64 (.f64 (/.f64 1 z) 2/13) (/.f64 (exp.f64 -13) z)) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (.f64 (/.f64 1 z) (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 1 (/.f64 (.f64 (.f64 z 13/2) z) (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (/.f64 (/.f64 2/13 z) z) (/.f64 1 (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (/.f64 (exp.f64 -13) (/.f64 (.f64 z 13/2) (.f64 (/.f64 1 z) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (.f64 (/.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 1 (PI.f64))))))
(.f64 (/.f64 (sqrt.f64 45767980848377092942628957760201/325000000000000000000000000) z) (sqrt.f64 (.f64 (PI.f64) (exp.f64 -13))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (exp.f64 (+.f64 -13 (log.f64 (/.f64 (PI.f64) (.f64 z z)))))))
(.f64 (sqrt.f64 (/.f64 (PI.f64) (.f64 z z))) (sqrt.f64 (*.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000)))
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(exp.f64 (.f64 (log.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000)) 1/2))
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (exp.f64 (-.f64 -13 (log.f64 z)))) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(.f64 6765203681218851/10000000000000 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -13/2) (/.f64 (sqrt.f64 2/13) z))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 (exp.f64 -13/2) (/.f64 z (sqrt.f64 2/13)))))
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(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (fma.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2))) (+.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2)) (-.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (+.f64 z 3) 2)) (/.f64 (/.f64 -6811365493350374017225292011293/50000000000000000000000000 (+.f64 z 2)) (+.f64 z 3)))) (.f64 (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (+.f64 z 3) 3)) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z 2) 3))))) (*.f64 (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2)) (-.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (+.f64 z 3) 2)) (/.f64 (/.f64 -6811365493350374017225292011293/50000000000000000000000000 (+.f64 z 2)) (+.f64 z 3))))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (fma.f64 (+.f64 z 2) (.f64 (+.f64 z 3) (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 3))) (.f64 (fma.f64 -883075145810703/5000000000000 (+.f64 z 2) (fma.f64 z 7713234287776531/10000000000000 23139702863329593/10000000000000)) (+.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (fma.f64 z z z)))))) (.f64 (+.f64 z 3) (.f64 (+.f64 z 2) (+.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (fma.f64 z z z)))))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (fma.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 3)) (.f64 (+.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2)) (/.f64 -779821713148594364211109354209/25000000000000000000000000 (pow.f64 (+.f64 z 3) 2))) (+.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (fma.f64 z z z)))))) (.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (fma.f64 z z z))))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (fma.f64 611458333333720910362579/25000000000000000000000 (/.f64 (exp.f64 (-.f64 (-.f64 -13/2 z) (.f64 (log.f64 (+.f64 z 13/2)) (-.f64 1/2 z)))) z) (fma.f64 4925021701373474946951247/25000000000000000000000 (/.f64 (exp.f64 (-.f64 (-.f64 -13/2 z) (.f64 (log.f64 (+.f64 z 13/2)) (-.f64 1/2 z)))) (.f64 z z)) (fma.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 (-.f64 -13/2 z) (.f64 (log.f64 (+.f64 z 13/2)) (-.f64 1/2 z)))) (/.f64 10831820445529922198405471/25000000000000000000000 (/.f64 (pow.f64 z 3) (exp.f64 (-.f64 (-.f64 -13/2 z) (*.f64 (log.f64 (+.f64 z 13/2)) (-.f64 1/2 z))))))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (fma.f64 611458333333720910362579/25000000000000000000000 (/.f64 (exp.f64 (+.f64 (neg.f64 (.f64 (log.f64 (-.f64 13/2 (neg.f64 z))) (fma.f64 -1 z 1/2))) (fma.f64 -1 z -13/2))) z) (fma.f64 4925021701373474946951247/25000000000000000000000 (/.f64 (exp.f64 (+.f64 (neg.f64 (.f64 (log.f64 (-.f64 13/2 (neg.f64 z))) (fma.f64 -1 z 1/2))) (fma.f64 -1 z -13/2))) (.f64 z z)) (fma.f64 10831820445529922198405471/25000000000000000000000 (/.f64 (exp.f64 (+.f64 (neg.f64 (.f64 (log.f64 (-.f64 13/2 (neg.f64 z))) (fma.f64 -1 z 1/2))) (fma.f64 -1 z -13/2))) (pow.f64 z 3)) (.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 (neg.f64 (.f64 (log.f64 (-.f64 13/2 (neg.f64 z))) (fma.f64 -1 z 1/2))) (fma.f64 -1 z -13/2))))))))

Outputs

(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (*.f64 z (+.f64 z 1))))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))

Calls

3 calls:

476.0ms

(-.f64 z 1)

241.0ms

(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))

158.0ms

Results

Error	Segments	Branch
2.4b	1	`z`
2.4b	1	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
2.4b	1	`(-.f64 z 1)`

Compiler

Compiled 16275 to 13132 computations (19.3% saved)

regimes410.0ms (1.7%)

Counts

133 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (PI.f64) (*.f64 z z)) (exp.f64 -13))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (exp.f64 -13) z) (/.f64 (PI.f64) z))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) (PI.f64))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64)))))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) 45767980848377092942628957760201/325000000000000000000000000)))
(sqrt.f64 (*.f64 (/.f64 (exp.f64 -13) (/.f64 z 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 (PI.f64) z)))
(sqrt.f64 (/.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 z (*.f64 (exp.f64 -13) (/.f64 (PI.f64) z)))))
(sqrt.f64 (/.f64 (.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000) (.f64 (/.f64 z (PI.f64)) z)))
(sqrt.f64 (/.f64 (/.f64 (exp.f64 -13) z) (/.f64 (/.f64 z 45767980848377092942628957760201/325000000000000000000000000) (PI.f64))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 1 z) (*.f64 (exp.f64 -13) (/.f64 (PI.f64) z)))))
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (/.f64 (exp.f64 -13) z)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 2/13 (.f64 z (/.f64 z (exp.f64 -13)))) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (exp.f64 -13) (.f64 (/.f64 z 2/13) z)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) 2/13)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (.f64 2/13 (/.f64 (exp.f64 -13) z)) z) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (/.f64 2/13 z) (/.f64 z (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (/.f64 (exp.f64 -13) (.f64 z z)) 13/2) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (/.f64 2/13 (/.f64 z (.f64 (/.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13)))))
(sqrt.f64 (/.f64 (.f64 2/13 (.f64 (/.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13))) z))
(sqrt.f64 (/.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (.f64 (/.f64 z (exp.f64 -13)) (*.f64 z 13/2))))
(sqrt.f64 (/.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (*.f64 z (/.f64 z 2/13))))
(sqrt.f64 (/.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (*.f64 2/13 (/.f64 (exp.f64 -13) z))) z))
(sqrt.f64 (/.f64 (.f64 (/.f64 (exp.f64 -13) z) 45767980848377092942628957760201/50000000000000000000000000) (/.f64 (.f64 z 13/2) (PI.f64))))
(sqrt.f64 (.f64 (/.f64 -2/13 (/.f64 (neg.f64 z) (/.f64 (exp.f64 -13) z))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 2 (/.f64 (.f64 45767980848377092942628957760201/100000000000000000000000000 (exp.f64 -13)) (.f64 (/.f64 z 2/13) z)))))
(sqrt.f64 (.f64 (.f64 (PI.f64) 2) (*.f64 45767980848377092942628957760201/100000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 z (/.f64 2/13 z))))))
(sqrt.f64 (.f64 (.f64 (.f64 (/.f64 1 z) 2/13) (/.f64 (exp.f64 -13) z)) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (.f64 (/.f64 1 z) (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 1 (/.f64 (.f64 (.f64 z 13/2) z) (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (/.f64 (/.f64 2/13 z) z) (/.f64 1 (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (/.f64 (exp.f64 -13) (/.f64 (.f64 z 13/2) (.f64 (/.f64 1 z) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (.f64 (/.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 1 (PI.f64))))))
(.f64 (/.f64 (sqrt.f64 45767980848377092942628957760201/325000000000000000000000000) z) (sqrt.f64 (.f64 (PI.f64) (exp.f64 -13))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (exp.f64 (+.f64 -13 (log.f64 (/.f64 (PI.f64) (.f64 z z)))))))
(.f64 (sqrt.f64 (/.f64 (PI.f64) (.f64 z z))) (sqrt.f64 (*.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000)))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) 45767980848377092942628957760201/325000000000000000000000000)) 3/2))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 -13) (/.f64 z 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 (PI.f64) z)) 3/2))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000)) 1/2))
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (exp.f64 (-.f64 -13 (log.f64 z)))) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(.f64 6765203681218851/10000000000000 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -13/2) (/.f64 (sqrt.f64 2/13) z))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 (exp.f64 -13/2) (/.f64 z (sqrt.f64 2/13)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 (sqrt.f64 2/13) (/.f64 z (exp.f64 -13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 6765203681218851/10000000000000 (/.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) z)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (.f64 6765203681218851/10000000000000 (sqrt.f64 2/13)) z) (exp.f64 -13/2)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (.f64 6765203681218851/10000000000000 (.f64 (exp.f64 -13/2) (sqrt.f64 2/13))) z))
(/.f64 (.f64 6765203681218851/10000000000000 (exp.f64 -13/2)) (/.f64 (/.f64 z (sqrt.f64 2/13)) (sqrt.f64 (.f64 (PI.f64) 2))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (/.f64 z (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13))))
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (exp.f64 -13/2)) (/.f64 z (sqrt.f64 2/13)))
(pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (*.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000) 1/4) 2)
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(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (-.f64 (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000)) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)))) (+.f64 (/.f64 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (fma.f64 z z z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 z) (exp.f64 13/2)))))

Outputs

(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (+.f64 6765203681218851/10000000000000 (*.f64 -5826188486005177/10000000000000 z)) (*.f64 z (+.f64 z 1))))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))

Calls

3 calls:

73.0ms

(-.f64 z 1)

72.0ms

(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))

66.0ms

Results

Error	Segments	Branch
2.4b	1	`z`
2.4b	1	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
2.4b	1	`(-.f64 z 1)`

Compiler

Compiled 6295 to 5106 computations (18.9% saved)

regimes129.0ms (0.5%)

Counts

96 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (PI.f64) (*.f64 z z)) (exp.f64 -13))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (exp.f64 -13) z) (/.f64 (PI.f64) z))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) (PI.f64))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64)))))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) 45767980848377092942628957760201/325000000000000000000000000)))
(sqrt.f64 (*.f64 (/.f64 (exp.f64 -13) (/.f64 z 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 (PI.f64) z)))
(sqrt.f64 (/.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 z (*.f64 (exp.f64 -13) (/.f64 (PI.f64) z)))))
(sqrt.f64 (/.f64 (.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000) (.f64 (/.f64 z (PI.f64)) z)))
(sqrt.f64 (/.f64 (/.f64 (exp.f64 -13) z) (/.f64 (/.f64 z 45767980848377092942628957760201/325000000000000000000000000) (PI.f64))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 1 z) (*.f64 (exp.f64 -13) (/.f64 (PI.f64) z)))))
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (/.f64 (exp.f64 -13) z)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 2/13 (.f64 z (/.f64 z (exp.f64 -13)))) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (exp.f64 -13) (.f64 (/.f64 z 2/13) z)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) 2/13)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (.f64 2/13 (/.f64 (exp.f64 -13) z)) z) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (/.f64 2/13 z) (/.f64 z (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (/.f64 (exp.f64 -13) (.f64 z z)) 13/2) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (/.f64 2/13 (/.f64 z (.f64 (/.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13)))))
(sqrt.f64 (/.f64 (.f64 2/13 (.f64 (/.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13))) z))
(sqrt.f64 (/.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (.f64 (/.f64 z (exp.f64 -13)) (*.f64 z 13/2))))
(sqrt.f64 (/.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (*.f64 z (/.f64 z 2/13))))
(sqrt.f64 (/.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (*.f64 2/13 (/.f64 (exp.f64 -13) z))) z))
(sqrt.f64 (/.f64 (.f64 (/.f64 (exp.f64 -13) z) 45767980848377092942628957760201/50000000000000000000000000) (/.f64 (.f64 z 13/2) (PI.f64))))
(sqrt.f64 (.f64 (/.f64 -2/13 (/.f64 (neg.f64 z) (/.f64 (exp.f64 -13) z))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 2 (/.f64 (.f64 45767980848377092942628957760201/100000000000000000000000000 (exp.f64 -13)) (.f64 (/.f64 z 2/13) z)))))
(sqrt.f64 (.f64 (.f64 (PI.f64) 2) (*.f64 45767980848377092942628957760201/100000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 z (/.f64 2/13 z))))))
(sqrt.f64 (.f64 (.f64 (.f64 (/.f64 1 z) 2/13) (/.f64 (exp.f64 -13) z)) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (.f64 (/.f64 1 z) (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 1 (/.f64 (.f64 (.f64 z 13/2) z) (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (/.f64 (/.f64 2/13 z) z) (/.f64 1 (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (/.f64 (exp.f64 -13) (/.f64 (.f64 z 13/2) (.f64 (/.f64 1 z) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (.f64 (/.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 1 (PI.f64))))))
(.f64 (/.f64 (sqrt.f64 45767980848377092942628957760201/325000000000000000000000000) z) (sqrt.f64 (.f64 (PI.f64) (exp.f64 -13))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (exp.f64 (+.f64 -13 (log.f64 (/.f64 (PI.f64) (.f64 z z)))))))
(.f64 (sqrt.f64 (/.f64 (PI.f64) (.f64 z z))) (sqrt.f64 (*.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000)))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) 45767980848377092942628957760201/325000000000000000000000000)) 3/2))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 -13) (/.f64 z 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 (PI.f64) z)) 3/2))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000)) 1/2))
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (exp.f64 (-.f64 -13 (log.f64 z)))) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(.f64 6765203681218851/10000000000000 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -13/2) (/.f64 (sqrt.f64 2/13) z))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 (exp.f64 -13/2) (/.f64 z (sqrt.f64 2/13)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 (sqrt.f64 2/13) (/.f64 z (exp.f64 -13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 6765203681218851/10000000000000 (/.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) z)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (.f64 6765203681218851/10000000000000 (sqrt.f64 2/13)) z) (exp.f64 -13/2)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (.f64 6765203681218851/10000000000000 (.f64 (exp.f64 -13/2) (sqrt.f64 2/13))) z))
(/.f64 (.f64 6765203681218851/10000000000000 (exp.f64 -13/2)) (/.f64 (/.f64 z (sqrt.f64 2/13)) (sqrt.f64 (.f64 (PI.f64) 2))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (/.f64 z (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13))))
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (exp.f64 -13/2)) (/.f64 z (sqrt.f64 2/13)))
(pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (*.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000) 1/4) 2)
(pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (*.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000) 3/2) 1/3)
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (sqrt.f64 (/.f64 (exp.f64 -26) (.f64 z z)))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (.f64 9999999999998099/10000000000000000 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 (-.f64 -13/2 z) (.f64 (log.f64 (+.f64 z 13/2)) (-.f64 1/2 z))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
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(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 1 (exp.f64 (+.f64 z 13/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))

Outputs

(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))

Calls

1 calls:

50.0ms

Results

Error	Segments	Branch
2.6b	1	`z`

Compiler

Compiled 2920 to 2319 computations (20.6% saved)

regimes135.0ms (0.6%)

Counts

91 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (PI.f64) (*.f64 z z)) (exp.f64 -13))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (exp.f64 -13) z) (/.f64 (PI.f64) z))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) (PI.f64))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64)))))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) 45767980848377092942628957760201/325000000000000000000000000)))
(sqrt.f64 (*.f64 (/.f64 (exp.f64 -13) (/.f64 z 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 (PI.f64) z)))
(sqrt.f64 (/.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 z (*.f64 (exp.f64 -13) (/.f64 (PI.f64) z)))))
(sqrt.f64 (/.f64 (.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000) (.f64 (/.f64 z (PI.f64)) z)))
(sqrt.f64 (/.f64 (/.f64 (exp.f64 -13) z) (/.f64 (/.f64 z 45767980848377092942628957760201/325000000000000000000000000) (PI.f64))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 1 z) (*.f64 (exp.f64 -13) (/.f64 (PI.f64) z)))))
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (/.f64 (exp.f64 -13) z)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 2/13 (.f64 z (/.f64 z (exp.f64 -13)))) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (exp.f64 -13) (.f64 (/.f64 z 2/13) z)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) 2/13)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (.f64 2/13 (/.f64 (exp.f64 -13) z)) z) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (/.f64 2/13 z) (/.f64 z (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (/.f64 (exp.f64 -13) (.f64 z z)) 13/2) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (/.f64 2/13 (/.f64 z (.f64 (/.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13)))))
(sqrt.f64 (/.f64 (.f64 2/13 (.f64 (/.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13))) z))
(sqrt.f64 (/.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (.f64 (/.f64 z (exp.f64 -13)) (*.f64 z 13/2))))
(sqrt.f64 (/.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (*.f64 z (/.f64 z 2/13))))
(sqrt.f64 (/.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (*.f64 2/13 (/.f64 (exp.f64 -13) z))) z))
(sqrt.f64 (/.f64 (.f64 (/.f64 (exp.f64 -13) z) 45767980848377092942628957760201/50000000000000000000000000) (/.f64 (.f64 z 13/2) (PI.f64))))
(sqrt.f64 (.f64 (/.f64 -2/13 (/.f64 (neg.f64 z) (/.f64 (exp.f64 -13) z))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 2 (/.f64 (.f64 45767980848377092942628957760201/100000000000000000000000000 (exp.f64 -13)) (.f64 (/.f64 z 2/13) z)))))
(sqrt.f64 (.f64 (.f64 (PI.f64) 2) (*.f64 45767980848377092942628957760201/100000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 z (/.f64 2/13 z))))))
(sqrt.f64 (.f64 (.f64 (.f64 (/.f64 1 z) 2/13) (/.f64 (exp.f64 -13) z)) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (.f64 (/.f64 1 z) (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 1 (/.f64 (.f64 (.f64 z 13/2) z) (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (/.f64 (/.f64 2/13 z) z) (/.f64 1 (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (/.f64 (exp.f64 -13) (/.f64 (.f64 z 13/2) (.f64 (/.f64 1 z) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (.f64 (/.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 1 (PI.f64))))))
(.f64 (/.f64 (sqrt.f64 45767980848377092942628957760201/325000000000000000000000000) z) (sqrt.f64 (.f64 (PI.f64) (exp.f64 -13))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (exp.f64 (+.f64 -13 (log.f64 (/.f64 (PI.f64) (.f64 z z)))))))
(.f64 (sqrt.f64 (/.f64 (PI.f64) (.f64 z z))) (sqrt.f64 (*.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000)))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) 45767980848377092942628957760201/325000000000000000000000000)) 3/2))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 -13) (/.f64 z 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 (PI.f64) z)) 3/2))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000)) 1/2))
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (exp.f64 (-.f64 -13 (log.f64 z)))) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(.f64 6765203681218851/10000000000000 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -13/2) (/.f64 (sqrt.f64 2/13) z))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 (exp.f64 -13/2) (/.f64 z (sqrt.f64 2/13)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 (sqrt.f64 2/13) (/.f64 z (exp.f64 -13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 6765203681218851/10000000000000 (/.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) z)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (.f64 6765203681218851/10000000000000 (sqrt.f64 2/13)) z) (exp.f64 -13/2)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (.f64 6765203681218851/10000000000000 (.f64 (exp.f64 -13/2) (sqrt.f64 2/13))) z))
(/.f64 (.f64 6765203681218851/10000000000000 (exp.f64 -13/2)) (/.f64 (/.f64 z (sqrt.f64 2/13)) (sqrt.f64 (.f64 (PI.f64) 2))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (/.f64 z (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13))))
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (exp.f64 -13/2)) (/.f64 z (sqrt.f64 2/13)))
(pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (*.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000) 1/4) 2)
(pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (*.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000) 3/2) 1/3)
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (sqrt.f64 (/.f64 (exp.f64 -26) (.f64 z z)))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (.f64 9999999999998099/10000000000000000 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 (-.f64 -13/2 z) (.f64 (log.f64 (+.f64 z 13/2)) (-.f64 1/2 z))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 611458333333720910362579/25000000000000000000000 z) (/.f64 4925021701373474946951247/25000000000000000000000 (.f64 z z)))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 611458333333720910362579/25000000000000000000000 z) (/.f64 (/.f64 4925021701373474946951247/25000000000000000000000 z) z))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 4925021701373474946951247/25000000000000000000000 (.f64 z z)) (/.f64 611458333333720910362579/25000000000000000000000 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (/.f64 30223877537487/2500000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 153960904158449/625000000000 (.f64 z z)) (/.f64 30223877537487/2500000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (/.f64 30223877537487/2500000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
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(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (-.f64 z 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 z -6)) -1/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 153960904158449/625000000000 (*.f64 z z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 z -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 z -7)))))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (-.f64 z 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 z -6)) -1/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (/.f64 30223877537487/2500000000000 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 z -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 z -7)))))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (-.f64 z 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 z -6)) -1/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (/.f64 153960904158449/625000000000 z) z) (/.f64 30223877537487/2500000000000 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 z -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 z -7)))))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (-.f64 z 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 z -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 30223877537487/2500000000000 z)) (/.f64 153960904158449/625000000000 (*.f64 z z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 z -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 z -7)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))

Outputs

(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))

Calls

1 calls:

47.0ms

Results

Error	Segments	Branch
2.6b	1	`z`

Compiler

Compiled 2588 to 2047 computations (20.9% saved)

regimes82.0ms (0.3%)

Counts

75 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (PI.f64) (*.f64 z z)) (exp.f64 -13))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (exp.f64 -13) z) (/.f64 (PI.f64) z))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) (PI.f64))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64)))))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) 45767980848377092942628957760201/325000000000000000000000000)))
(sqrt.f64 (*.f64 (/.f64 (exp.f64 -13) (/.f64 z 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 (PI.f64) z)))
(sqrt.f64 (/.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 z (*.f64 (exp.f64 -13) (/.f64 (PI.f64) z)))))
(sqrt.f64 (/.f64 (.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000) (.f64 (/.f64 z (PI.f64)) z)))
(sqrt.f64 (/.f64 (/.f64 (exp.f64 -13) z) (/.f64 (/.f64 z 45767980848377092942628957760201/325000000000000000000000000) (PI.f64))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 1 z) (*.f64 (exp.f64 -13) (/.f64 (PI.f64) z)))))
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (/.f64 (exp.f64 -13) z)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 2/13 (.f64 z (/.f64 z (exp.f64 -13)))) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (exp.f64 -13) (.f64 (/.f64 z 2/13) z)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) 2/13)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (.f64 2/13 (/.f64 (exp.f64 -13) z)) z) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (/.f64 2/13 z) (/.f64 z (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (/.f64 (exp.f64 -13) (.f64 z z)) 13/2) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (/.f64 2/13 (/.f64 z (.f64 (/.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13)))))
(sqrt.f64 (/.f64 (.f64 2/13 (.f64 (/.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13))) z))
(sqrt.f64 (/.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (.f64 (/.f64 z (exp.f64 -13)) (*.f64 z 13/2))))
(sqrt.f64 (/.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (*.f64 z (/.f64 z 2/13))))
(sqrt.f64 (/.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (*.f64 2/13 (/.f64 (exp.f64 -13) z))) z))
(sqrt.f64 (/.f64 (.f64 (/.f64 (exp.f64 -13) z) 45767980848377092942628957760201/50000000000000000000000000) (/.f64 (.f64 z 13/2) (PI.f64))))
(sqrt.f64 (.f64 (/.f64 -2/13 (/.f64 (neg.f64 z) (/.f64 (exp.f64 -13) z))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 2 (/.f64 (.f64 45767980848377092942628957760201/100000000000000000000000000 (exp.f64 -13)) (.f64 (/.f64 z 2/13) z)))))
(sqrt.f64 (.f64 (.f64 (PI.f64) 2) (*.f64 45767980848377092942628957760201/100000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 z (/.f64 2/13 z))))))
(sqrt.f64 (.f64 (.f64 (.f64 (/.f64 1 z) 2/13) (/.f64 (exp.f64 -13) z)) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (.f64 (/.f64 1 z) (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 1 (/.f64 (.f64 (.f64 z 13/2) z) (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (/.f64 (/.f64 2/13 z) z) (/.f64 1 (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (/.f64 (exp.f64 -13) (/.f64 (.f64 z 13/2) (.f64 (/.f64 1 z) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (.f64 (/.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 1 (PI.f64))))))
(.f64 (/.f64 (sqrt.f64 45767980848377092942628957760201/325000000000000000000000000) z) (sqrt.f64 (.f64 (PI.f64) (exp.f64 -13))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (exp.f64 (+.f64 -13 (log.f64 (/.f64 (PI.f64) (.f64 z z)))))))
(.f64 (sqrt.f64 (/.f64 (PI.f64) (.f64 z z))) (sqrt.f64 (*.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000)))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) 45767980848377092942628957760201/325000000000000000000000000)) 3/2))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 -13) (/.f64 z 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 (PI.f64) z)) 3/2))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000)) 1/2))
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (exp.f64 (-.f64 -13 (log.f64 z)))) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(.f64 6765203681218851/10000000000000 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -13/2) (/.f64 (sqrt.f64 2/13) z))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 (exp.f64 -13/2) (/.f64 z (sqrt.f64 2/13)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 (sqrt.f64 2/13) (/.f64 z (exp.f64 -13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 6765203681218851/10000000000000 (/.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) z)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (.f64 6765203681218851/10000000000000 (sqrt.f64 2/13)) z) (exp.f64 -13/2)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (.f64 6765203681218851/10000000000000 (.f64 (exp.f64 -13/2) (sqrt.f64 2/13))) z))
(/.f64 (.f64 6765203681218851/10000000000000 (exp.f64 -13/2)) (/.f64 (/.f64 z (sqrt.f64 2/13)) (sqrt.f64 (.f64 (PI.f64) 2))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (/.f64 z (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13))))
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (exp.f64 -13/2)) (/.f64 z (sqrt.f64 2/13)))
(pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (*.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000) 1/4) 2)
(pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (*.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000) 3/2) 1/3)
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (sqrt.f64 (/.f64 (exp.f64 -26) (.f64 z z)))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (.f64 9999999999998099/10000000000000000 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 (-.f64 -13/2 z) (.f64 (log.f64 (+.f64 z 13/2)) (-.f64 1/2 z))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 611458333333720910362579/25000000000000000000000 z) (/.f64 4925021701373474946951247/25000000000000000000000 (.f64 z z)))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 611458333333720910362579/25000000000000000000000 z) (/.f64 (/.f64 4925021701373474946951247/25000000000000000000000 z) z))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 4925021701373474946951247/25000000000000000000000 (.f64 z z)) (/.f64 611458333333720910362579/25000000000000000000000 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (/.f64 30223877537487/2500000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 153960904158449/625000000000 (.f64 z z)) (/.f64 30223877537487/2500000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (/.f64 30223877537487/2500000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 1 (exp.f64 (+.f64 z 13/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (/.f64 30223877537487/2500000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (-.f64 z 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 z -6)) -1/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 153960904158449/625000000000 (*.f64 z z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 z -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 z -7)))))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (-.f64 z 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 z -6)) -1/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (/.f64 30223877537487/2500000000000 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 z -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 z -7)))))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (-.f64 z 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 z -6)) -1/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (/.f64 153960904158449/625000000000 z) z) (/.f64 30223877537487/2500000000000 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 z -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 z -7)))))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (-.f64 z 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 z -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 30223877537487/2500000000000 z)) (/.f64 153960904158449/625000000000 (*.f64 z z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 z -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 z -7)))))

Outputs

(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 1 (exp.f64 (+.f64 z 13/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (/.f64 30223877537487/2500000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))

Calls

1 calls:

35.0ms

Results

Error	Segments	Branch
46.5b	1	`z`

Compiler

Compiled 1544 to 1195 computations (22.6% saved)

regimes69.0ms (0.3%)

Counts

70 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (PI.f64) (*.f64 z z)) (exp.f64 -13))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (exp.f64 -13) z) (/.f64 (PI.f64) z))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) (PI.f64))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64)))))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) 45767980848377092942628957760201/325000000000000000000000000)))
(sqrt.f64 (*.f64 (/.f64 (exp.f64 -13) (/.f64 z 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 (PI.f64) z)))
(sqrt.f64 (/.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 z (*.f64 (exp.f64 -13) (/.f64 (PI.f64) z)))))
(sqrt.f64 (/.f64 (.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000) (.f64 (/.f64 z (PI.f64)) z)))
(sqrt.f64 (/.f64 (/.f64 (exp.f64 -13) z) (/.f64 (/.f64 z 45767980848377092942628957760201/325000000000000000000000000) (PI.f64))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 1 z) (*.f64 (exp.f64 -13) (/.f64 (PI.f64) z)))))
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (/.f64 (exp.f64 -13) z)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 2/13 (.f64 z (/.f64 z (exp.f64 -13)))) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (exp.f64 -13) (.f64 (/.f64 z 2/13) z)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) 2/13)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (.f64 2/13 (/.f64 (exp.f64 -13) z)) z) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (/.f64 2/13 z) (/.f64 z (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (/.f64 (exp.f64 -13) (.f64 z z)) 13/2) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (/.f64 2/13 (/.f64 z (.f64 (/.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13)))))
(sqrt.f64 (/.f64 (.f64 2/13 (.f64 (/.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13))) z))
(sqrt.f64 (/.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (.f64 (/.f64 z (exp.f64 -13)) (*.f64 z 13/2))))
(sqrt.f64 (/.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (*.f64 z (/.f64 z 2/13))))
(sqrt.f64 (/.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (*.f64 2/13 (/.f64 (exp.f64 -13) z))) z))
(sqrt.f64 (/.f64 (.f64 (/.f64 (exp.f64 -13) z) 45767980848377092942628957760201/50000000000000000000000000) (/.f64 (.f64 z 13/2) (PI.f64))))
(sqrt.f64 (.f64 (/.f64 -2/13 (/.f64 (neg.f64 z) (/.f64 (exp.f64 -13) z))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 2 (/.f64 (.f64 45767980848377092942628957760201/100000000000000000000000000 (exp.f64 -13)) (.f64 (/.f64 z 2/13) z)))))
(sqrt.f64 (.f64 (.f64 (PI.f64) 2) (*.f64 45767980848377092942628957760201/100000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 z (/.f64 2/13 z))))))
(sqrt.f64 (.f64 (.f64 (.f64 (/.f64 1 z) 2/13) (/.f64 (exp.f64 -13) z)) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (.f64 (/.f64 1 z) (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 1 (/.f64 (.f64 (.f64 z 13/2) z) (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (/.f64 (/.f64 2/13 z) z) (/.f64 1 (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (/.f64 (exp.f64 -13) (/.f64 (.f64 z 13/2) (.f64 (/.f64 1 z) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (.f64 (/.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 1 (PI.f64))))))
(.f64 (/.f64 (sqrt.f64 45767980848377092942628957760201/325000000000000000000000000) z) (sqrt.f64 (.f64 (PI.f64) (exp.f64 -13))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (exp.f64 (+.f64 -13 (log.f64 (/.f64 (PI.f64) (.f64 z z)))))))
(.f64 (sqrt.f64 (/.f64 (PI.f64) (.f64 z z))) (sqrt.f64 (*.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000)))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) 45767980848377092942628957760201/325000000000000000000000000)) 3/2))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 -13) (/.f64 z 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 (PI.f64) z)) 3/2))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000)) 1/2))
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (exp.f64 (-.f64 -13 (log.f64 z)))) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(.f64 6765203681218851/10000000000000 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -13/2) (/.f64 (sqrt.f64 2/13) z))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 (exp.f64 -13/2) (/.f64 z (sqrt.f64 2/13)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 (sqrt.f64 2/13) (/.f64 z (exp.f64 -13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 6765203681218851/10000000000000 (/.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) z)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (.f64 6765203681218851/10000000000000 (sqrt.f64 2/13)) z) (exp.f64 -13/2)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (.f64 6765203681218851/10000000000000 (.f64 (exp.f64 -13/2) (sqrt.f64 2/13))) z))
(/.f64 (.f64 6765203681218851/10000000000000 (exp.f64 -13/2)) (/.f64 (/.f64 z (sqrt.f64 2/13)) (sqrt.f64 (.f64 (PI.f64) 2))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (/.f64 z (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13))))
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (exp.f64 -13/2)) (/.f64 z (sqrt.f64 2/13)))
(pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (*.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000) 1/4) 2)
(pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (*.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000) 3/2) 1/3)
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (sqrt.f64 (/.f64 (exp.f64 -26) (.f64 z z)))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (.f64 9999999999998099/10000000000000000 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 (-.f64 -13/2 z) (.f64 (log.f64 (+.f64 z 13/2)) (-.f64 1/2 z))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 611458333333720910362579/25000000000000000000000 z) (/.f64 4925021701373474946951247/25000000000000000000000 (.f64 z z)))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 611458333333720910362579/25000000000000000000000 z) (/.f64 (/.f64 4925021701373474946951247/25000000000000000000000 z) z))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 4925021701373474946951247/25000000000000000000000 (.f64 z z)) (/.f64 611458333333720910362579/25000000000000000000000 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (/.f64 30223877537487/2500000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 153960904158449/625000000000 (.f64 z z)) (/.f64 30223877537487/2500000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (/.f64 30223877537487/2500000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))

Outputs

(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (/.f64 30223877537487/2500000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))

Calls

1 calls:

33.0ms

Results

Error	Segments	Branch
46.5b	1	`z`

Compiler

Compiled 1257 to 967 computations (23.1% saved)

regimes58.0ms (0.2%)

Counts

65 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (PI.f64) (*.f64 z z)) (exp.f64 -13))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (exp.f64 -13) z) (/.f64 (PI.f64) z))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) (PI.f64))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64)))))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) 45767980848377092942628957760201/325000000000000000000000000)))
(sqrt.f64 (*.f64 (/.f64 (exp.f64 -13) (/.f64 z 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 (PI.f64) z)))
(sqrt.f64 (/.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 z (*.f64 (exp.f64 -13) (/.f64 (PI.f64) z)))))
(sqrt.f64 (/.f64 (.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000) (.f64 (/.f64 z (PI.f64)) z)))
(sqrt.f64 (/.f64 (/.f64 (exp.f64 -13) z) (/.f64 (/.f64 z 45767980848377092942628957760201/325000000000000000000000000) (PI.f64))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 1 z) (*.f64 (exp.f64 -13) (/.f64 (PI.f64) z)))))
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (/.f64 (exp.f64 -13) z)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 2/13 (.f64 z (/.f64 z (exp.f64 -13)))) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (exp.f64 -13) (.f64 (/.f64 z 2/13) z)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) 2/13)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (.f64 2/13 (/.f64 (exp.f64 -13) z)) z) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (/.f64 2/13 z) (/.f64 z (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (/.f64 (exp.f64 -13) (.f64 z z)) 13/2) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (/.f64 2/13 (/.f64 z (.f64 (/.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13)))))
(sqrt.f64 (/.f64 (.f64 2/13 (.f64 (/.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13))) z))
(sqrt.f64 (/.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (.f64 (/.f64 z (exp.f64 -13)) (*.f64 z 13/2))))
(sqrt.f64 (/.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (*.f64 z (/.f64 z 2/13))))
(sqrt.f64 (/.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (*.f64 2/13 (/.f64 (exp.f64 -13) z))) z))
(sqrt.f64 (/.f64 (.f64 (/.f64 (exp.f64 -13) z) 45767980848377092942628957760201/50000000000000000000000000) (/.f64 (.f64 z 13/2) (PI.f64))))
(sqrt.f64 (.f64 (/.f64 -2/13 (/.f64 (neg.f64 z) (/.f64 (exp.f64 -13) z))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 2 (/.f64 (.f64 45767980848377092942628957760201/100000000000000000000000000 (exp.f64 -13)) (.f64 (/.f64 z 2/13) z)))))
(sqrt.f64 (.f64 (.f64 (PI.f64) 2) (*.f64 45767980848377092942628957760201/100000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 z (/.f64 2/13 z))))))
(sqrt.f64 (.f64 (.f64 (.f64 (/.f64 1 z) 2/13) (/.f64 (exp.f64 -13) z)) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (.f64 (/.f64 1 z) (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 1 (/.f64 (.f64 (.f64 z 13/2) z) (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (/.f64 (/.f64 2/13 z) z) (/.f64 1 (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (/.f64 (exp.f64 -13) (/.f64 (.f64 z 13/2) (.f64 (/.f64 1 z) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (.f64 (/.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 1 (PI.f64))))))
(.f64 (/.f64 (sqrt.f64 45767980848377092942628957760201/325000000000000000000000000) z) (sqrt.f64 (.f64 (PI.f64) (exp.f64 -13))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (exp.f64 (+.f64 -13 (log.f64 (/.f64 (PI.f64) (.f64 z z)))))))
(.f64 (sqrt.f64 (/.f64 (PI.f64) (.f64 z z))) (sqrt.f64 (*.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000)))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) 45767980848377092942628957760201/325000000000000000000000000)) 3/2))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 -13) (/.f64 z 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 (PI.f64) z)) 3/2))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000)) 1/2))
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (exp.f64 (-.f64 -13 (log.f64 z)))) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(.f64 6765203681218851/10000000000000 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -13/2) (/.f64 (sqrt.f64 2/13) z))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 (exp.f64 -13/2) (/.f64 z (sqrt.f64 2/13)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 (sqrt.f64 2/13) (/.f64 z (exp.f64 -13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 6765203681218851/10000000000000 (/.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) z)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (.f64 6765203681218851/10000000000000 (sqrt.f64 2/13)) z) (exp.f64 -13/2)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (.f64 6765203681218851/10000000000000 (.f64 (exp.f64 -13/2) (sqrt.f64 2/13))) z))
(/.f64 (.f64 6765203681218851/10000000000000 (exp.f64 -13/2)) (/.f64 (/.f64 z (sqrt.f64 2/13)) (sqrt.f64 (.f64 (PI.f64) 2))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (/.f64 z (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13))))
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (exp.f64 -13/2)) (/.f64 z (sqrt.f64 2/13)))
(pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (*.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000) 1/4) 2)
(pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (*.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000) 3/2) 1/3)
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (sqrt.f64 (/.f64 (exp.f64 -26) (.f64 z z)))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (.f64 9999999999998099/10000000000000000 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 (-.f64 -13/2 z) (.f64 (log.f64 (+.f64 z 13/2)) (-.f64 1/2 z))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 611458333333720910362579/25000000000000000000000 z) (/.f64 4925021701373474946951247/25000000000000000000000 (.f64 z z)))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 611458333333720910362579/25000000000000000000000 z) (/.f64 (/.f64 4925021701373474946951247/25000000000000000000000 z) z))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 4925021701373474946951247/25000000000000000000000 (.f64 z z)) (/.f64 611458333333720910362579/25000000000000000000000 z)))))

Outputs

(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 4925021701373474946951247/25000000000000000000000 (*.f64 z z)) (/.f64 611458333333720910362579/25000000000000000000000 z)))))

Calls

1 calls:

29.0ms

Results

Error	Segments	Branch
47.4b	1	`z`

Compiler

Compiled 991 to 757 computations (23.6% saved)

regimes57.0ms (0.2%)

Counts

64 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (PI.f64) (*.f64 z z)) (exp.f64 -13))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (exp.f64 -13) z) (/.f64 (PI.f64) z))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) (PI.f64))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64)))))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) 45767980848377092942628957760201/325000000000000000000000000)))
(sqrt.f64 (*.f64 (/.f64 (exp.f64 -13) (/.f64 z 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 (PI.f64) z)))
(sqrt.f64 (/.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 z (*.f64 (exp.f64 -13) (/.f64 (PI.f64) z)))))
(sqrt.f64 (/.f64 (.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000) (.f64 (/.f64 z (PI.f64)) z)))
(sqrt.f64 (/.f64 (/.f64 (exp.f64 -13) z) (/.f64 (/.f64 z 45767980848377092942628957760201/325000000000000000000000000) (PI.f64))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 1 z) (*.f64 (exp.f64 -13) (/.f64 (PI.f64) z)))))
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (/.f64 (exp.f64 -13) z)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 2/13 (.f64 z (/.f64 z (exp.f64 -13)))) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (exp.f64 -13) (.f64 (/.f64 z 2/13) z)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) 2/13)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (.f64 2/13 (/.f64 (exp.f64 -13) z)) z) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (/.f64 2/13 z) (/.f64 z (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (/.f64 (exp.f64 -13) (.f64 z z)) 13/2) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (/.f64 2/13 (/.f64 z (.f64 (/.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13)))))
(sqrt.f64 (/.f64 (.f64 2/13 (.f64 (/.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13))) z))
(sqrt.f64 (/.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (.f64 (/.f64 z (exp.f64 -13)) (*.f64 z 13/2))))
(sqrt.f64 (/.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (*.f64 z (/.f64 z 2/13))))
(sqrt.f64 (/.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (*.f64 2/13 (/.f64 (exp.f64 -13) z))) z))
(sqrt.f64 (/.f64 (.f64 (/.f64 (exp.f64 -13) z) 45767980848377092942628957760201/50000000000000000000000000) (/.f64 (.f64 z 13/2) (PI.f64))))
(sqrt.f64 (.f64 (/.f64 -2/13 (/.f64 (neg.f64 z) (/.f64 (exp.f64 -13) z))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 2 (/.f64 (.f64 45767980848377092942628957760201/100000000000000000000000000 (exp.f64 -13)) (.f64 (/.f64 z 2/13) z)))))
(sqrt.f64 (.f64 (.f64 (PI.f64) 2) (*.f64 45767980848377092942628957760201/100000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 z (/.f64 2/13 z))))))
(sqrt.f64 (.f64 (.f64 (.f64 (/.f64 1 z) 2/13) (/.f64 (exp.f64 -13) z)) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (.f64 (/.f64 1 z) (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 1 (/.f64 (.f64 (.f64 z 13/2) z) (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (/.f64 (/.f64 2/13 z) z) (/.f64 1 (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (/.f64 (exp.f64 -13) (/.f64 (.f64 z 13/2) (.f64 (/.f64 1 z) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (.f64 (/.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 1 (PI.f64))))))
(.f64 (/.f64 (sqrt.f64 45767980848377092942628957760201/325000000000000000000000000) z) (sqrt.f64 (.f64 (PI.f64) (exp.f64 -13))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (exp.f64 (+.f64 -13 (log.f64 (/.f64 (PI.f64) (.f64 z z)))))))
(.f64 (sqrt.f64 (/.f64 (PI.f64) (.f64 z z))) (sqrt.f64 (*.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000)))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) 45767980848377092942628957760201/325000000000000000000000000)) 3/2))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 -13) (/.f64 z 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 (PI.f64) z)) 3/2))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000)) 1/2))
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (exp.f64 (-.f64 -13 (log.f64 z)))) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(.f64 6765203681218851/10000000000000 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -13/2) (/.f64 (sqrt.f64 2/13) z))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 (exp.f64 -13/2) (/.f64 z (sqrt.f64 2/13)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 (sqrt.f64 2/13) (/.f64 z (exp.f64 -13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 6765203681218851/10000000000000 (/.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) z)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (.f64 6765203681218851/10000000000000 (sqrt.f64 2/13)) z) (exp.f64 -13/2)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (.f64 6765203681218851/10000000000000 (.f64 (exp.f64 -13/2) (sqrt.f64 2/13))) z))
(/.f64 (.f64 6765203681218851/10000000000000 (exp.f64 -13/2)) (/.f64 (/.f64 z (sqrt.f64 2/13)) (sqrt.f64 (.f64 (PI.f64) 2))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (/.f64 z (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13))))
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (exp.f64 -13/2)) (/.f64 z (sqrt.f64 2/13)))
(pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (*.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000) 1/4) 2)
(pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (*.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000) 3/2) 1/3)
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (sqrt.f64 (/.f64 (exp.f64 -26) (.f64 z z)))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (.f64 9999999999998099/10000000000000000 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 (-.f64 -13/2 z) (.f64 (log.f64 (+.f64 z 13/2)) (-.f64 1/2 z))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 611458333333720910362579/25000000000000000000000 z) (/.f64 4925021701373474946951247/25000000000000000000000 (.f64 z z)))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 611458333333720910362579/25000000000000000000000 z) (/.f64 (/.f64 4925021701373474946951247/25000000000000000000000 z) z))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))

Outputs

(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 611458333333720910362579/25000000000000000000000 z) (/.f64 4925021701373474946951247/25000000000000000000000 (*.f64 z z)))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))

Calls

1 calls:

30.0ms

Results

Error	Segments	Branch
47.4b	1	`z`

Compiler

Compiled 962 to 736 computations (23.5% saved)

regimes82.0ms (0.3%)

Counts

62 → 2

Calls

Call 1

Inputs
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (PI.f64) (*.f64 z z)) (exp.f64 -13))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (exp.f64 -13) z) (/.f64 (PI.f64) z))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) (PI.f64))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64)))))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) 45767980848377092942628957760201/325000000000000000000000000)))
(sqrt.f64 (*.f64 (/.f64 (exp.f64 -13) (/.f64 z 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 (PI.f64) z)))
(sqrt.f64 (/.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 z (*.f64 (exp.f64 -13) (/.f64 (PI.f64) z)))))
(sqrt.f64 (/.f64 (.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000) (.f64 (/.f64 z (PI.f64)) z)))
(sqrt.f64 (/.f64 (/.f64 (exp.f64 -13) z) (/.f64 (/.f64 z 45767980848377092942628957760201/325000000000000000000000000) (PI.f64))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 1 z) (*.f64 (exp.f64 -13) (/.f64 (PI.f64) z)))))
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (/.f64 (exp.f64 -13) z)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 2/13 (.f64 z (/.f64 z (exp.f64 -13)))) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (exp.f64 -13) (.f64 (/.f64 z 2/13) z)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) 2/13)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (.f64 2/13 (/.f64 (exp.f64 -13) z)) z) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (/.f64 2/13 z) (/.f64 z (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (/.f64 (exp.f64 -13) (.f64 z z)) 13/2) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (/.f64 2/13 (/.f64 z (.f64 (/.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13)))))
(sqrt.f64 (/.f64 (.f64 2/13 (.f64 (/.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13))) z))
(sqrt.f64 (/.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (.f64 (/.f64 z (exp.f64 -13)) (*.f64 z 13/2))))
(sqrt.f64 (/.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (*.f64 z (/.f64 z 2/13))))
(sqrt.f64 (/.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (*.f64 2/13 (/.f64 (exp.f64 -13) z))) z))
(sqrt.f64 (/.f64 (.f64 (/.f64 (exp.f64 -13) z) 45767980848377092942628957760201/50000000000000000000000000) (/.f64 (.f64 z 13/2) (PI.f64))))
(sqrt.f64 (.f64 (/.f64 -2/13 (/.f64 (neg.f64 z) (/.f64 (exp.f64 -13) z))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 2 (/.f64 (.f64 45767980848377092942628957760201/100000000000000000000000000 (exp.f64 -13)) (.f64 (/.f64 z 2/13) z)))))
(sqrt.f64 (.f64 (.f64 (PI.f64) 2) (*.f64 45767980848377092942628957760201/100000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 z (/.f64 2/13 z))))))
(sqrt.f64 (.f64 (.f64 (.f64 (/.f64 1 z) 2/13) (/.f64 (exp.f64 -13) z)) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (.f64 (/.f64 1 z) (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 1 (/.f64 (.f64 (.f64 z 13/2) z) (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (/.f64 (/.f64 2/13 z) z) (/.f64 1 (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (/.f64 (exp.f64 -13) (/.f64 (.f64 z 13/2) (.f64 (/.f64 1 z) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (.f64 (/.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 1 (PI.f64))))))
(.f64 (/.f64 (sqrt.f64 45767980848377092942628957760201/325000000000000000000000000) z) (sqrt.f64 (.f64 (PI.f64) (exp.f64 -13))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (exp.f64 (+.f64 -13 (log.f64 (/.f64 (PI.f64) (.f64 z z)))))))
(.f64 (sqrt.f64 (/.f64 (PI.f64) (.f64 z z))) (sqrt.f64 (*.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000)))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) 45767980848377092942628957760201/325000000000000000000000000)) 3/2))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 -13) (/.f64 z 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 (PI.f64) z)) 3/2))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000)) 1/2))
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (exp.f64 (-.f64 -13 (log.f64 z)))) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(.f64 6765203681218851/10000000000000 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -13/2) (/.f64 (sqrt.f64 2/13) z))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 (exp.f64 -13/2) (/.f64 z (sqrt.f64 2/13)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 (sqrt.f64 2/13) (/.f64 z (exp.f64 -13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 6765203681218851/10000000000000 (/.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) z)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (.f64 6765203681218851/10000000000000 (sqrt.f64 2/13)) z) (exp.f64 -13/2)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (.f64 6765203681218851/10000000000000 (.f64 (exp.f64 -13/2) (sqrt.f64 2/13))) z))
(/.f64 (.f64 6765203681218851/10000000000000 (exp.f64 -13/2)) (/.f64 (/.f64 z (sqrt.f64 2/13)) (sqrt.f64 (.f64 (PI.f64) 2))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (/.f64 z (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13))))
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (exp.f64 -13/2)) (/.f64 z (sqrt.f64 2/13)))
(pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (*.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000) 1/4) 2)
(pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (*.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000) 3/2) 1/3)
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (sqrt.f64 (/.f64 (exp.f64 -26) (.f64 z z)))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (.f64 9999999999998099/10000000000000000 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 (-.f64 -13/2 z) (.f64 (log.f64 (+.f64 z 13/2)) (-.f64 1/2 z))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))

Outputs

(sqrt.f64 (*.f64 45767980848377092942628957760201/325000000000000000000000000 (*.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) (PI.f64))))

(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))

Calls

1 calls:

55.0ms

Results

Error	Segments	Branch
50.2b	2	`z`

Compiler

Compiled 904 to 693 computations (23.3% saved)

bsearch1.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	2.747645757708055	2.7794773649539493

Compiler

Compiled 99 to 87 computations (12.1% saved)

regimes75.0ms (0.3%)

Counts

59 → 2

Calls

Call 1

Inputs
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (PI.f64) (*.f64 z z)) (exp.f64 -13))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (exp.f64 -13) z) (/.f64 (PI.f64) z))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) (PI.f64))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64)))))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) 45767980848377092942628957760201/325000000000000000000000000)))
(sqrt.f64 (*.f64 (/.f64 (exp.f64 -13) (/.f64 z 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 (PI.f64) z)))
(sqrt.f64 (/.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 z (*.f64 (exp.f64 -13) (/.f64 (PI.f64) z)))))
(sqrt.f64 (/.f64 (.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000) (.f64 (/.f64 z (PI.f64)) z)))
(sqrt.f64 (/.f64 (/.f64 (exp.f64 -13) z) (/.f64 (/.f64 z 45767980848377092942628957760201/325000000000000000000000000) (PI.f64))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 1 z) (*.f64 (exp.f64 -13) (/.f64 (PI.f64) z)))))
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (/.f64 (exp.f64 -13) z)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 2/13 (.f64 z (/.f64 z (exp.f64 -13)))) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (exp.f64 -13) (.f64 (/.f64 z 2/13) z)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) 2/13)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (.f64 2/13 (/.f64 (exp.f64 -13) z)) z) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (/.f64 2/13 z) (/.f64 z (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (/.f64 (exp.f64 -13) (.f64 z z)) 13/2) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (/.f64 2/13 (/.f64 z (.f64 (/.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13)))))
(sqrt.f64 (/.f64 (.f64 2/13 (.f64 (/.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13))) z))
(sqrt.f64 (/.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (.f64 (/.f64 z (exp.f64 -13)) (*.f64 z 13/2))))
(sqrt.f64 (/.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (*.f64 z (/.f64 z 2/13))))
(sqrt.f64 (/.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (*.f64 2/13 (/.f64 (exp.f64 -13) z))) z))
(sqrt.f64 (/.f64 (.f64 (/.f64 (exp.f64 -13) z) 45767980848377092942628957760201/50000000000000000000000000) (/.f64 (.f64 z 13/2) (PI.f64))))
(sqrt.f64 (.f64 (/.f64 -2/13 (/.f64 (neg.f64 z) (/.f64 (exp.f64 -13) z))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 2 (/.f64 (.f64 45767980848377092942628957760201/100000000000000000000000000 (exp.f64 -13)) (.f64 (/.f64 z 2/13) z)))))
(sqrt.f64 (.f64 (.f64 (PI.f64) 2) (*.f64 45767980848377092942628957760201/100000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 z (/.f64 2/13 z))))))
(sqrt.f64 (.f64 (.f64 (.f64 (/.f64 1 z) 2/13) (/.f64 (exp.f64 -13) z)) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (.f64 (/.f64 1 z) (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 1 (/.f64 (.f64 (.f64 z 13/2) z) (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (/.f64 (/.f64 2/13 z) z) (/.f64 1 (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (/.f64 (exp.f64 -13) (/.f64 (.f64 z 13/2) (.f64 (/.f64 1 z) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (.f64 (/.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 1 (PI.f64))))))
(.f64 (/.f64 (sqrt.f64 45767980848377092942628957760201/325000000000000000000000000) z) (sqrt.f64 (.f64 (PI.f64) (exp.f64 -13))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (exp.f64 (+.f64 -13 (log.f64 (/.f64 (PI.f64) (.f64 z z)))))))
(.f64 (sqrt.f64 (/.f64 (PI.f64) (.f64 z z))) (sqrt.f64 (*.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000)))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) 45767980848377092942628957760201/325000000000000000000000000)) 3/2))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 -13) (/.f64 z 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 (PI.f64) z)) 3/2))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000)) 1/2))
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (exp.f64 (-.f64 -13 (log.f64 z)))) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(.f64 6765203681218851/10000000000000 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -13/2) (/.f64 (sqrt.f64 2/13) z))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 (exp.f64 -13/2) (/.f64 z (sqrt.f64 2/13)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 (sqrt.f64 2/13) (/.f64 z (exp.f64 -13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 6765203681218851/10000000000000 (/.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) z)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (.f64 6765203681218851/10000000000000 (sqrt.f64 2/13)) z) (exp.f64 -13/2)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (.f64 6765203681218851/10000000000000 (.f64 (exp.f64 -13/2) (sqrt.f64 2/13))) z))
(/.f64 (.f64 6765203681218851/10000000000000 (exp.f64 -13/2)) (/.f64 (/.f64 z (sqrt.f64 2/13)) (sqrt.f64 (.f64 (PI.f64) 2))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (/.f64 z (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13))))
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (exp.f64 -13/2)) (/.f64 z (sqrt.f64 2/13)))
(pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (*.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000) 1/4) 2)
(pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (*.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000) 3/2) 1/3)
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (sqrt.f64 (/.f64 (exp.f64 -26) (.f64 z z)))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (.f64 9999999999998099/10000000000000000 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 (-.f64 -13/2 z) (.f64 (log.f64 (+.f64 z 13/2)) (-.f64 1/2 z))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))

Outputs

(sqrt.f64 (*.f64 45767980848377092942628957760201/325000000000000000000000000 (*.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) (PI.f64))))

(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 (-.f64 -13/2 z) (*.f64 (log.f64 (+.f64 z 13/2)) (-.f64 1/2 z))))))

Calls

1 calls:

52.0ms

Results

Error	Segments	Branch
51.7b	2	`z`

Compiler

Compiled 833 to 637 computations (23.5% saved)

bsearch1.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	3.9102483219732425	3.994496815522367

Compiler

Compiled 99 to 87 computations (12.1% saved)

regimes74.0ms (0.3%)

Counts

57 → 2

Calls

Call 1

Inputs
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (PI.f64) (*.f64 z z)) (exp.f64 -13))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (exp.f64 -13) z) (/.f64 (PI.f64) z))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) (PI.f64))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64)))))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) 45767980848377092942628957760201/325000000000000000000000000)))
(sqrt.f64 (*.f64 (/.f64 (exp.f64 -13) (/.f64 z 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 (PI.f64) z)))
(sqrt.f64 (/.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 z (*.f64 (exp.f64 -13) (/.f64 (PI.f64) z)))))
(sqrt.f64 (/.f64 (.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000) (.f64 (/.f64 z (PI.f64)) z)))
(sqrt.f64 (/.f64 (/.f64 (exp.f64 -13) z) (/.f64 (/.f64 z 45767980848377092942628957760201/325000000000000000000000000) (PI.f64))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 1 z) (*.f64 (exp.f64 -13) (/.f64 (PI.f64) z)))))
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (/.f64 (exp.f64 -13) z)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 2/13 (.f64 z (/.f64 z (exp.f64 -13)))) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (exp.f64 -13) (.f64 (/.f64 z 2/13) z)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) 2/13)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (.f64 2/13 (/.f64 (exp.f64 -13) z)) z) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (/.f64 2/13 z) (/.f64 z (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (/.f64 (exp.f64 -13) (.f64 z z)) 13/2) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (/.f64 2/13 (/.f64 z (.f64 (/.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13)))))
(sqrt.f64 (/.f64 (.f64 2/13 (.f64 (/.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13))) z))
(sqrt.f64 (/.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (.f64 (/.f64 z (exp.f64 -13)) (*.f64 z 13/2))))
(sqrt.f64 (/.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (*.f64 z (/.f64 z 2/13))))
(sqrt.f64 (/.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (*.f64 2/13 (/.f64 (exp.f64 -13) z))) z))
(sqrt.f64 (/.f64 (.f64 (/.f64 (exp.f64 -13) z) 45767980848377092942628957760201/50000000000000000000000000) (/.f64 (.f64 z 13/2) (PI.f64))))
(sqrt.f64 (.f64 (/.f64 -2/13 (/.f64 (neg.f64 z) (/.f64 (exp.f64 -13) z))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 2 (/.f64 (.f64 45767980848377092942628957760201/100000000000000000000000000 (exp.f64 -13)) (.f64 (/.f64 z 2/13) z)))))
(sqrt.f64 (.f64 (.f64 (PI.f64) 2) (*.f64 45767980848377092942628957760201/100000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 z (/.f64 2/13 z))))))
(sqrt.f64 (.f64 (.f64 (.f64 (/.f64 1 z) 2/13) (/.f64 (exp.f64 -13) z)) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (.f64 (/.f64 1 z) (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 1 (/.f64 (.f64 (.f64 z 13/2) z) (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (/.f64 (/.f64 2/13 z) z) (/.f64 1 (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (/.f64 (exp.f64 -13) (/.f64 (.f64 z 13/2) (.f64 (/.f64 1 z) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (.f64 (/.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 1 (PI.f64))))))
(.f64 (/.f64 (sqrt.f64 45767980848377092942628957760201/325000000000000000000000000) z) (sqrt.f64 (.f64 (PI.f64) (exp.f64 -13))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (exp.f64 (+.f64 -13 (log.f64 (/.f64 (PI.f64) (.f64 z z)))))))
(.f64 (sqrt.f64 (/.f64 (PI.f64) (.f64 z z))) (sqrt.f64 (*.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000)))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) 45767980848377092942628957760201/325000000000000000000000000)) 3/2))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 -13) (/.f64 z 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 (PI.f64) z)) 3/2))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000)) 1/2))
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (exp.f64 (-.f64 -13 (log.f64 z)))) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(.f64 6765203681218851/10000000000000 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -13/2) (/.f64 (sqrt.f64 2/13) z))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 (exp.f64 -13/2) (/.f64 z (sqrt.f64 2/13)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 (sqrt.f64 2/13) (/.f64 z (exp.f64 -13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 6765203681218851/10000000000000 (/.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) z)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (.f64 6765203681218851/10000000000000 (sqrt.f64 2/13)) z) (exp.f64 -13/2)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (.f64 6765203681218851/10000000000000 (.f64 (exp.f64 -13/2) (sqrt.f64 2/13))) z))
(/.f64 (.f64 6765203681218851/10000000000000 (exp.f64 -13/2)) (/.f64 (/.f64 z (sqrt.f64 2/13)) (sqrt.f64 (.f64 (PI.f64) 2))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (/.f64 z (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13))))
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (exp.f64 -13/2)) (/.f64 z (sqrt.f64 2/13)))
(pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (*.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000) 1/4) 2)
(pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (*.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000) 3/2) 1/3)
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (sqrt.f64 (/.f64 (exp.f64 -26) (.f64 z z)))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (.f64 9999999999998099/10000000000000000 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z 13/2)))))

Outputs

(sqrt.f64 (*.f64 45767980848377092942628957760201/325000000000000000000000000 (*.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) (PI.f64))))

(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))

Calls

1 calls:

51.0ms

Results

Error	Segments	Branch
51.8b	2	`z`

Compiler

Compiled 792 to 605 computations (23.6% saved)

bsearch1.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	3.9102483219732425	3.994496815522367

Compiler

Compiled 99 to 87 computations (12.1% saved)

regimes51.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

51 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (PI.f64) (*.f64 z z)) (exp.f64 -13))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (exp.f64 -13) z) (/.f64 (PI.f64) z))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) (PI.f64))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64)))))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) 45767980848377092942628957760201/325000000000000000000000000)))
(sqrt.f64 (*.f64 (/.f64 (exp.f64 -13) (/.f64 z 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 (PI.f64) z)))
(sqrt.f64 (/.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 z (*.f64 (exp.f64 -13) (/.f64 (PI.f64) z)))))
(sqrt.f64 (/.f64 (.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000) (.f64 (/.f64 z (PI.f64)) z)))
(sqrt.f64 (/.f64 (/.f64 (exp.f64 -13) z) (/.f64 (/.f64 z 45767980848377092942628957760201/325000000000000000000000000) (PI.f64))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 1 z) (*.f64 (exp.f64 -13) (/.f64 (PI.f64) z)))))
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (/.f64 (exp.f64 -13) z)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 2/13 (.f64 z (/.f64 z (exp.f64 -13)))) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (exp.f64 -13) (.f64 (/.f64 z 2/13) z)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) 2/13)) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (.f64 2/13 (/.f64 (exp.f64 -13) z)) z) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (/.f64 2/13 z) (/.f64 z (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (/.f64 (exp.f64 -13) (.f64 z z)) 13/2) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (/.f64 2/13 (/.f64 z (.f64 (/.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13)))))
(sqrt.f64 (/.f64 (.f64 2/13 (.f64 (/.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) z) (exp.f64 -13))) z))
(sqrt.f64 (/.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (.f64 (/.f64 z (exp.f64 -13)) (*.f64 z 13/2))))
(sqrt.f64 (/.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (*.f64 z (/.f64 z 2/13))))
(sqrt.f64 (/.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (*.f64 2/13 (/.f64 (exp.f64 -13) z))) z))
(sqrt.f64 (/.f64 (.f64 (/.f64 (exp.f64 -13) z) 45767980848377092942628957760201/50000000000000000000000000) (/.f64 (.f64 z 13/2) (PI.f64))))
(sqrt.f64 (.f64 (/.f64 -2/13 (/.f64 (neg.f64 z) (/.f64 (exp.f64 -13) z))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 2 (/.f64 (.f64 45767980848377092942628957760201/100000000000000000000000000 (exp.f64 -13)) (.f64 (/.f64 z 2/13) z)))))
(sqrt.f64 (.f64 (.f64 (PI.f64) 2) (*.f64 45767980848377092942628957760201/100000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 z (/.f64 2/13 z))))))
(sqrt.f64 (.f64 (.f64 (.f64 (/.f64 1 z) 2/13) (/.f64 (exp.f64 -13) z)) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (.f64 (/.f64 1 z) (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 1 (/.f64 (.f64 (.f64 z 13/2) z) (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (/.f64 (/.f64 2/13 z) z) (/.f64 1 (exp.f64 -13))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(sqrt.f64 (/.f64 (exp.f64 -13) (/.f64 (.f64 z 13/2) (.f64 (/.f64 1 z) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (.f64 (/.f64 1 (/.f64 1 (*.f64 z z))) (/.f64 1 (PI.f64))))))
(.f64 (/.f64 (sqrt.f64 45767980848377092942628957760201/325000000000000000000000000) z) (sqrt.f64 (.f64 (PI.f64) (exp.f64 -13))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (exp.f64 (+.f64 -13 (log.f64 (/.f64 (PI.f64) (.f64 z z)))))))
(.f64 (sqrt.f64 (/.f64 (PI.f64) (.f64 z z))) (sqrt.f64 (*.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000)))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 -13) (*.f64 z z)) 45767980848377092942628957760201/325000000000000000000000000)) 3/2))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 -13) (/.f64 z 45767980848377092942628957760201/325000000000000000000000000)) (/.f64 (PI.f64) z)) 3/2))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000)) 1/2))
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (exp.f64 (-.f64 -13 (log.f64 z)))) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(.f64 6765203681218851/10000000000000 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -13/2) (/.f64 (sqrt.f64 2/13) z))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 (exp.f64 -13/2) (/.f64 z (sqrt.f64 2/13)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 (sqrt.f64 2/13) (/.f64 z (exp.f64 -13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 6765203681218851/10000000000000 (/.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) z)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (.f64 6765203681218851/10000000000000 (sqrt.f64 2/13)) z) (exp.f64 -13/2)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (.f64 6765203681218851/10000000000000 (.f64 (exp.f64 -13/2) (sqrt.f64 2/13))) z))
(/.f64 (.f64 6765203681218851/10000000000000 (exp.f64 -13/2)) (/.f64 (/.f64 z (sqrt.f64 2/13)) (sqrt.f64 (.f64 (PI.f64) 2))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (/.f64 z (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13))))
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (exp.f64 -13/2)) (/.f64 z (sqrt.f64 2/13)))
(pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (*.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000) 1/4) 2)
(pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (*.f64 z z))) 45767980848377092942628957760201/325000000000000000000000000) 3/2) 1/3)
(sqrt.f64 (.f64 (.f64 (/.f64 2/13 z) (sqrt.f64 (/.f64 (exp.f64 -26) (.f64 z z)))) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))

Outputs
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (PI.f64) (*.f64 z z)) (exp.f64 -13))))

Calls

1 calls:

27.0ms

Results

Error	Segments	Branch
55.4b	1	`z`

Compiler

Compiled 678 to 515 computations (24% saved)

simplify62.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

122×	`*-commutative`
118×	`+-commutative`
48×	`distribute-lft-neg-in`
30×	`neg-sub0`
24×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	159	1666
1	250	1662
2	267	1662
3	285	1662
4	303	1662
5	331	1662
6	349	1662
7	376	1662
8	402	1662
9	413	1662
10	415	1662

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (*.f64 z (+.f64 z 1))))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (+.f64 6765203681218851/10000000000000 (.f64 -5826188486005177/10000000000000 z)) (.f64 z (+.f64 z 1))))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 1 (exp.f64 (+.f64 z 13/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (/.f64 30223877537487/2500000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 153960904158449/625000000000 (*.f64 z z)) (/.f64 30223877537487/2500000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 4925021701373474946951247/25000000000000000000000 (.f64 z z)) (/.f64 611458333333720910362579/25000000000000000000000 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 611458333333720910362579/25000000000000000000000 z) (/.f64 4925021701373474946951247/25000000000000000000000 (.f64 z z)))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(if (<=.f64 z 11/4) (sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (exp.f64 -13) (.f64 z z)) (PI.f64)))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))))
(if (<=.f64 z 4447304632028365/1125899906842624) (sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (exp.f64 -13) (.f64 z z)) (PI.f64)))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 (-.f64 -13/2 z) (*.f64 (log.f64 (+.f64 z 13/2)) (-.f64 1/2 z)))))))
(if (<=.f64 z 4447304632028365/1125899906842624) (sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (exp.f64 -13) (.f64 z z)) (PI.f64)))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (PI.f64) (*.f64 z z)) (exp.f64 -13))))

Outputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (fma.f64 -5826188486005177/10000000000000 z 6765203681218851/10000000000000) (*.f64 z (+.f64 z 1))))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (+.f64 6765203681218851/10000000000000 (.f64 -5826188486005177/10000000000000 z)) (.f64 z (+.f64 z 1))))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (+.f64 6765203681218851/10000000000000 (.f64 z -5826188486005177/10000000000000)) (.f64 z (+.f64 z 1)))))))))
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(if (<=.f64 z 4447304632028365/1125899906842624) (sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (exp.f64 -13) (.f64 z z)) (PI.f64)))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))
(if (<=.f64 z 4447304632028365/1125899906842624) (sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (PI.f64) (/.f64 (exp.f64 -13) (.f64 z z))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (/.f64 (PI.f64) (*.f64 z z)) (exp.f64 -13))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (exp.f64 -13) (/.f64 (PI.f64) (*.f64 z z)))))

Compiler

Compiled 559 to 457 computations (18.2% saved)

soundness240.0ms (1%)

Algorithm

3×	egg-herbie

Rules

1792×	`fma-def`
1698×	`associate-*r/`
1436×	`times-frac`
1426×	`associate-*l/`
1340×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	59	219
1	148	201
2	462	197
3	2676	197
0	289	4998
1	867	4244
2	3552	4244
0	209	3128
1	570	2938
2	2160	2634

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 626 to 526 computations (16% saved)

end263.0ms (1.1%)

Compiler: Compiled 548 to 428 computations (21.9% saved)