Details

analyze18.0ms (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)

sample4.3s (16.5%)

Results

3.5s	8256×	body	256	valid
698.0ms	1505×	body	256	infinite
57.0ms	152×	body	256	unsamplable

Bogosity

preprocess42.0ms (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)

simplify42.0ms (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)

prune18.0ms (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)))))))
▶	2.8b	(.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)

localize242.0ms (0.9%)

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))))))
✓	0.8b	(+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))
✓	1.0b	(exp.f64 (-.f64 -13/2 z))
✓	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

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)))

rewrite137.0ms (0.5%)

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
(sqrt.f64 (*.f64 (PI.f64) 2))
(exp.f64 (-.f64 -13/2 z))
(+.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 (sqrt.f64 (.f64 (PI.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 (sqrt.f64 (PI.f64)) (sqrt.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 (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 (+.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 2 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 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 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 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 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 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 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 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 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 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 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 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 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 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 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)))))))))))))

simplify106.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1340×	`associate-*r/`
1296×	`associate-/r*`
1204×	`associate-/l*`
1040×	`+-commutative`
1038×	`associate-*l/`

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

localize183.0ms (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	(exp.f64 (+.f64 z 13/2))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.6b	(+.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)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
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	@	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))))))

rewrite97.0ms (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)))))))))

simplify83.0ms (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 -13/2 z)))
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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)))

localize174.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	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))))
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	@	0	(exp.f64 (neg.f64 (+.f64 z 13/2)))
0.0ms	z	@	-inf	(exp.f64 (neg.f64 (+.f64 z 13/2)))

rewrite89.0ms (0.3%)

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))))))))

simplify136.0ms (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))

localize247.0ms (0.9%)

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	(exp.f64 (+.f64 (neg.f64 (-.f64 z -6)) -1/2))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 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	@	inf	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 z 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))

rewrite78.0ms (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 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 (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 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-883075145810703/5000000000000 (-.f64 z -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.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)))))))))

simplify93.0ms (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))))

localize318.0ms (1.2%)

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	(exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 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	@	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))))
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)))

rewrite67.0ms (0.3%)

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))))))))))

simplify157.0ms (0.6%)

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))))

eval1.2s (4.6%)

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

prune739.0ms (2.8%)

Pruning

122 alts after pruning (120 fresh and 2 done)

	Pruned	Kept	Total
New	612	120	732
Fresh	0	0	0
Picked	1	0	1
Done	2	2	4
Total	615	122	737

Error

0.4b

Counts

737 → 122

Alt Table

Click to see full alt table

Status	Error	Program
	2.7b	(.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))))
	2.7b	(.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 (.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)))))
	2.6b	(.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))))
	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 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))))
	2.8b	(.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) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (-.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))))
	34.3b	(.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 (log1p.f64 (expm1.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))))
	3.3b	(.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))))
	2.8b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (-.f64 z 1/2))) (.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 (+.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))) (*.f64 (exp.f64 (+.f64 (neg.f64 z) -6)) (exp.f64 -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 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 (pow.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 2) (*.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 9999999999998099/10000000000000000 (-.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 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)))))
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	2.8b	(.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)))))
	53.1b	(.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)))))
	2.8b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (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))))))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
	2.9b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (cbrt.f64 (pow.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)))) 3)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
	55.8b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 6765203681218851/10000000000000 (/.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) z)))
▶	55.8b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 6765203681218851/10000000000000 (.f64 (/.f64 (sqrt.f64 2/13) z) (exp.f64 -13/2))))
	53.1b	(.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)))))
	53.1b	(.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)))))
	53.0b	(.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))))))
	37.8b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (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 2 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))))))))))
	3.7b	(.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 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 2 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))))))))))
	3.8b	(.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 19730 to 16416 computations (16.8% saved)

localize230.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(+.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	(exp.f64 (-.f64 -13/2 z))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

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)))

rewrite89.0ms (0.3%)

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 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simplify95.0ms (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)))))
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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)
(-.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)
(-.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))))
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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))))
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(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)))
(+.f64 (.f64 (/.f64 (.f64 6765203681218851/10000000000000 (sqrt.f64 2/13)) z) (exp.f64 -13/2)) (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 -842504472367242574293517613/525000000000000000000000 (+.f64 -6765203681218851/130000000000000 (*.f64 6765203681218851/10000000000000 (log.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 (.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)))))
(fma.f64 (.f64 (exp.f64 -13/2) -842504472367242574293517613/525000000000000000000000) (sqrt.f64 2/13) (fma.f64 6765203681218851/10000000000000 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (log.f64 13/2) -1/13)) (fma.f64 (fma.f64 6765203681218851/10000000000000 (.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)))) (fma.f64 (.f64 (exp.f64 -13/2) -842504472367242574293517613/525000000000000000000000) (.f64 (sqrt.f64 2/13) (+.f64 (log.f64 13/2) -1/13)) (.f64 (sqrt.f64 2/13) (fma.f64 487331279103252896793517613/525000000000000000000000 (exp.f64 -13/2) (.f64 (exp.f64 -13/2) 490411386541407825911312627/344531250000000000000000))))) z (*.f64 6765203681218851/10000000000000 (/.f64 (sqrt.f64 2/13) (/.f64 z (exp.f64 -13/2)))))))
(+.f64 (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))) (.f64 z (fma.f64 6765203681218851/10000000000000 (.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169))) (.f64 (sqrt.f64 2/13) (+.f64 (.f64 (exp.f64 -13/2) (.f64 -842504472367242574293517613/525000000000000000000000 (+.f64 (log.f64 13/2) -1/13))) (.f64 (exp.f64 -13/2) 25927121230493361261825873937/11025000000000000000000000))))))
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(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)))

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 52 to 44 computations (15.4% saved)

series4.0ms (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 (/.f64 (sqrt.f64 2/13) z) (exp.f64 -13/2))))
1.0ms	z	@	inf	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 6765203681218851/10000000000000 (.f64 (/.f64 (sqrt.f64 2/13) z) (exp.f64 -13/2))))
0.0ms	z	@	inf	(/.f64 (sqrt.f64 2/13) z)
0.0ms	z	@	-inf	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 6765203681218851/10000000000000 (.f64 (/.f64 (sqrt.f64 2/13) z) (exp.f64 -13/2))))
0.0ms	z	@	0	(*.f64 (/.f64 (sqrt.f64 2/13) z) (exp.f64 -13/2))

rewrite107.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1472×	`associate-*r/`
1082×	`associate-*l/`
910×	`associate-/r*`
604×	`associate-/l*`
356×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	77
1	366	77
2	4287	77

Stop Event

1×	node limit

Counts

3 → 237

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify125.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1044×	`distribute-lft-in`
1038×	`distribute-rgt-in`
802×	`times-frac`
790×	`associate-l`
770×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	581	8713
1	1413	8549
2	5781	8549

Stop Event

1×	node limit

Counts

261 → 320

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

localize163.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 389 to 317 computations (18.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.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 9999999999998099/10000000000000000 (/.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 9999999999998099/10000000000000000 (/.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 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
0.0ms	z	@	inf	(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))

rewrite228.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

566×	`add-sqr-sqrt`
538×	`add-exp-log`
538×	`add-cbrt-cube`
538×	`add-log-exp`
538×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	98
1	550	98

Stop Event

1×	node limit

Counts

2 → 105

Calls

Call 1

Inputs

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 2) (+.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.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))) 2) (+.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.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 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))) (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))) 2) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 2) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 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simplify214.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1058×	`associate--r+`
924×	`associate-*r/`
846×	`associate-*l/`
618×	`distribute-lft-in`
606×	`associate--l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	421	12367
1	1281	12161
2	5246	12071

Stop Event

1×	node limit

Counts

129 → 212

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
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(/.f64 (+.f64 (.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 3)) (neg.f64 z)) (.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 9999999999998099/10000000000000000))) -6765203681218851/10000000000000)) (.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 9999999999998099/10000000000000000))) (neg.f64 z)))
(/.f64 (neg.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 2))) (neg.f64 (-.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))
(/.f64 (neg.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 3))) (neg.f64 (+.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 6765203681218851/10000000000000 z))))))
(pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))
(exp.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) 1))
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(fma.f64 6765203681218851/10000000000000 (/.f64 1 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(fma.f64 1 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(fma.f64 1 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 6765203681218851/10000000000000 z))
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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)
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(fma.f64 (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 2) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 6765203681218851/10000000000000 z))
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 6765203681218851/10000000000000 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 6765203681218851/10000000000000 z)) 2) (cbrt.f64 (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 6765203681218851/10000000000000 z)))

localize409.0ms (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)) (.f64 (exp.f64 (-.f64 -13/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (cbrt.f64 (.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 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))))))
	0.8b	(+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))
	1.0b	(exp.f64 (-.f64 -13/2 z))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 651 to 526 computations (19.2% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

(*.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)) (cbrt.f64 (*.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 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

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)) (cbrt.f64 (*.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 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

-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)) (cbrt.f64 (*.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 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))))))

rewrite90.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1412×	`add-sqr-sqrt`
1342×	`add-exp-log`
1342×	`add-cube-cbrt`
1340×	`add-cbrt-cube`
1324×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	179
1	1405	179

Stop Event

1×	node limit

Counts

1 → 6

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

simplify93.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1316×	`associate-+r+`
1160×	`associate-+l+`
974×	`times-frac`
908×	`*-commutative`
834×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	175	3070
1	558	2922
2	2206	2620

Stop Event

1×	node limit

Counts

18 → 44

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))))
(+.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)))))
(+.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)))))))
(+.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 (.f64 10831820445529922198405471/25000000000000000000000 (/.f64 (.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z)))) (pow.f64 z 3))) (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))))))
(.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 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 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)))))))
(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 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.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 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.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 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.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 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.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 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.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 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.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 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.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 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.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
(.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 (/.f64 (.f64 6765203681218851/10000000000000 (sqrt.f64 2/13)) z) (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))))))
(fma.f64 6765203681218851/10000000000000 (fma.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (log.f64 13/2) -14/13) (.f64 (/.f64 (sqrt.f64 2/13) z) (exp.f64 -13/2))) (.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) -487331279103252896793517613/525000000000000000000000)))
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(.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 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.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 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))))))
(.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))))))

localize343.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 z) 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 -6765203681218851/10000000000000 z)) (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 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 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 z) 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 -6765203681218851/10000000000000 z)) (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 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	(exp.f64 (-.f64 -13/2 z))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 695 to 559 computations (19.6% saved)

series6.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
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 (pow.f64 (/.f64 6765203681218851/10000000000000 z) 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 -6765203681218851/10000000000000 z)) (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 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	@	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 (pow.f64 (/.f64 6765203681218851/10000000000000 z) 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 -6765203681218851/10000000000000 z)) (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 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 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 z) 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 -6765203681218851/10000000000000 z)) (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 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 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 z) 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 -6765203681218851/10000000000000 z)) (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 z) z))))
1.0ms	z	@	inf	(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 z) 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 -6765203681218851/10000000000000 z)) (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 z) z))))

rewrite170.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1660×	`add-sqr-sqrt`
1578×	`add-cbrt-cube`
1578×	`add-cube-cbrt`
1564×	`*-un-lft-identity`
132×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	370
1	1646	370

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 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 z) 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 -6765203681218851/10000000000000 z)) (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 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 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 z) 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 -6765203681218851/10000000000000 z)) (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 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 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 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 -6765203681218851/10000000000000 z)) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 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 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 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 -6765203681218851/10000000000000 z)) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 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 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 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 -6765203681218851/10000000000000 z)) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 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 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 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 -6765203681218851/10000000000000 z)) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 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 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 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 -6765203681218851/10000000000000 z)) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 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 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 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 -6765203681218851/10000000000000 z)) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 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 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 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 -6765203681218851/10000000000000 z)) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 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 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 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 -6765203681218851/10000000000000 z)) (/.f64 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simplify113.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1034×	`associate-*r/`
1024×	`times-frac`
968×	`+-commutative`
850×	`associate-*l/`
780×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	254	6778
1	786	5750
2	3044	5216

Stop Event

1×	node limit

Counts

42 → 100

Calls

Call 1

Inputs
(.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 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 3) (pow.f64 (/.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 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 -6765203681218851/10000000000000 z)) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)))) 3)) (+.f64 (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 (.f64 (/.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 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 -6765203681218851/10000000000000 z)) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)))) (/.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 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 -6765203681218851/10000000000000 z)) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z))))) (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 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 -6765203681218851/10000000000000 z)) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))))))
(/.f64 (+.f64 (.f64 7713234287776531/10000000000000 (fma.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -6765203681218851/10000000000000 z)) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)))) (.f64 (+.f64 z 2) (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.f64 z 1) 3))))) (.f64 (+.f64 z 2) (fma.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -6765203681218851/10000000000000 z)) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)))))
(pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 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 -6765203681218851/10000000000000 z)) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 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 -6765203681218851/10000000000000 z)) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)))))))
(cbrt.f64 (.f64 (.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 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 -6765203681218851/10000000000000 z)) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 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 -6765203681218851/10000000000000 z)) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)))))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 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 -6765203681218851/10000000000000 z)) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)))))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 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 -6765203681218851/10000000000000 z)) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)))))))
(exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 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 -6765203681218851/10000000000000 z)) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 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 -6765203681218851/10000000000000 z)) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 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 z (exp.f64 -13/2)) (sqrt.f64 2/13)))
(+.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))))))
(fma.f64 6765203681218851/10000000000000 (fma.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (log.f64 13/2) -14/13) (/.f64 (sqrt.f64 2/13) (/.f64 z (exp.f64 -13/2)))) (.f64 (sqrt.f64 2/13) (*.f64 (exp.f64 -13/2) -487331279103252896793517613/525000000000000000000000)))
(+.f64 (/.f64 6765203681218851/10000000000000 (/.f64 (/.f64 z (exp.f64 -13/2)) (sqrt.f64 2/13))) (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 -487331279103252896793517613/525000000000000000000000 (*.f64 (+.f64 (log.f64 13/2) -14/13) 6765203681218851/10000000000000))))
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(fma.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) -487331279103252896793517613/525000000000000000000000 (fma.f64 6765203681218851/10000000000000 (fma.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (log.f64 13/2) -14/13) (/.f64 (sqrt.f64 2/13) (/.f64 z (exp.f64 -13/2)))) (.f64 z (fma.f64 6765203681218851/10000000000000 (fma.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) 1/2 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (neg.f64 (+.f64 (log.f64 13/2) -1/13))))) (fma.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) 373870182501661212981625127/344531250000000000000000 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (.f64 (+.f64 (log.f64 13/2) -14/13) -487331279103252896793517613/525000000000000000000000)))))))
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(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 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 -6765203681218851/10000000000000 z)) (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 z) z))))

eval1.7s (6.6%)

Compiler: Compiled 70889 to 58039 computations (18.1% saved)

prune736.0ms (2.8%)

Pruning

136 alts after pruning (132 fresh and 4 done)

	Pruned	Kept	Total
New	1027	58	1085
Fresh	41	74	115
Picked	1	0	1
Done	2	4	6
Total	1071	136	1207

Error

0.3b

Counts

1207 → 136

Alt Table

Click to see full alt table

Status	Error	Program
	55.8b	(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (exp.f64 -13/2)) (sqrt.f64 2/13)) z)
	55.8b	(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 6765203681218851/10000000000000 (.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 -13/2) z)))) 1)
	2.7b	(.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 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.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)))))
	2.9b	(.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 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.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 (-.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))))
	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 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))))
	2.8b	(.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) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) 2) (.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (-.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))))
	3.3b	(.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))))
	2.8b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (-.f64 z 1/2))) (.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 (+.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)))))
	2.9b	(.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 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.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 -13/2 z))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.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)))))
	3.9b	(.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 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 6765203681218851/10000000000000 z)) 2) (cbrt.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 (/.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)))))
	3.2b	(.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 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) 2) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.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)))))
	2.9b	(.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 (fma.f64 (sqrt.f64 (/.f64 6765203681218851/10000000000000 z)) (sqrt.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 (/.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 (fma.f64 6765203681218851/10000000000000 (/.f64 1 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 (/.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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	55.8b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 (sqrt.f64 2/13) (/.f64 z (exp.f64 -13/2)))))
	55.8b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 (exp.f64 -13/2) (/.f64 z (sqrt.f64 2/13)))))
	55.8b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 (/.f64 (/.f64 z (sqrt.f64 2/13)) (exp.f64 -13/2)))))
✓	55.8b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 6765203681218851/10000000000000 (.f64 (/.f64 (sqrt.f64 2/13) z) (exp.f64 -13/2))))
	55.8b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 6765203681218851/10000000000000 (.f64 (*.f64 (/.f64 1 z) (sqrt.f64 2/13)) (exp.f64 -13/2))))
	53.1b	(.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)))))
	53.1b	(.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)))))
	53.0b	(.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))))))
	55.8b	(.f64 6765203681218851/10000000000000 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -13/2) (/.f64 (sqrt.f64 2/13) z))))
▶	55.8b	(sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (/.f64 2/13 (.f64 z z))))
	55.8b	(sqrt.f64 (.f64 (.f64 (.f64 2 (PI.f64)) 45767980848377092942628957760201/100000000000000000000000000) (.f64 (exp.f64 -13) (/.f64 2/13 (*.f64 z z)))))
	55.8b	(sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 (exp.f64 -13) (/.f64 2/13 (*.f64 z z))))))

Compiler

Compiled 19920 to 16668 computations (16.3% saved)

localize166.0ms (0.6%)

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 (neg.f64 (+.f64 z 13/2))))
	1.0b	(exp.f64 (neg.f64 (+.f64 z 13/2)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.9b	(+.f64 (/.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 -883075145810703/5000000000000 (+.f64 z 3))))

Compiler

Compiled 426 to 321 computations (24.6% 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 (neg.f64 (+.f64 z 13/2))))
0.0ms	z	@	0	(+.f64 (/.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 -883075145810703/5000000000000 (+.f64 z 3))))
0.0ms	z	@	inf	(+.f64 (/.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 -883075145810703/5000000000000 (+.f64 z 3))))
0.0ms	z	@	-inf	(+.f64 (/.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 -883075145810703/5000000000000 (+.f64 z 3))))
0.0ms	z	@	-inf	(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2))))

rewrite77.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

698×	`add-sqr-sqrt`
660×	`add-exp-log`
658×	`add-log-exp`
656×	`add-cbrt-cube`
656×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	106
1	682	102

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

Inputs

(+.f64 (/.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 -883075145810703/5000000000000 (+.f64 z 3))))

(*.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 (/.f64 (pow.f64 (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)) 2) (-.f64 (/.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 -883075145810703/5000000000000 (+.f64 z 3))))) (/.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 2) (-.f64 (/.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 -883075145810703/5000000000000 (+.f64 z 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 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simplify107.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1022×	`associate-+l+`
1004×	`associate-+r+`
1002×	`associate-/r*`
816×	`+-commutative`
722×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	308	8210
1	910	7814
2	3361	7774

Stop Event

1×	node limit

Counts

72 → 128

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 (/.f64 (pow.f64 (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)) 2) (-.f64 (/.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 -883075145810703/5000000000000 (+.f64 z 3))))) (/.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 2) (-.f64 (/.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 -883075145810703/5000000000000 (+.f64 z 3))))))
(*.f64 (+.f64 (/.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 -883075145810703/5000000000000 (+.f64 z 3)))) 1)
(*.f64 1 (+.f64 (/.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 -883075145810703/5000000000000 (+.f64 z 3)))))
(*.f64 (sqrt.f64 (+.f64 (/.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 -883075145810703/5000000000000 (+.f64 z 3))))) (sqrt.f64 (+.f64 (/.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 -883075145810703/5000000000000 (+.f64 z 3))))))
(*.f64 (cbrt.f64 (+.f64 (/.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 -883075145810703/5000000000000 (+.f64 z 3))))) (cbrt.f64 (pow.f64 (+.f64 (/.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 -883075145810703/5000000000000 (+.f64 z 3)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.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 -883075145810703/5000000000000 (+.f64 z 3)))) 2)) (cbrt.f64 (+.f64 (/.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 -883075145810703/5000000000000 (+.f64 z 3))))))
(*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)) 2) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 2)) (/.f64 1 (-.f64 (/.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 -883075145810703/5000000000000 (+.f64 z 3))))))
(.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)) 3) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)) 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 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))))))
(*.f64 (pow.f64 (+.f64 (/.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 -883075145810703/5000000000000 (+.f64 z 3)))) 1/2) (pow.f64 (+.f64 (/.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 -883075145810703/5000000000000 (+.f64 z 3)))) 1/2))
(/.f64 1 (/.f64 (-.f64 (/.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 -883075145810703/5000000000000 (+.f64 z 3)))) (-.f64 (pow.f64 (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)) 2) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)) 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 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z))))) (+.f64 (pow.f64 (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)) 3) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 3))))
(/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)) 2) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 2)) (-.f64 (/.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 -883075145810703/5000000000000 (+.f64 z 3)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)) 3) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 3)) (+.f64 (pow.f64 (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)) 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 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)) 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 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)) 2) (*.f64 (/.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 -883075145810703/5000000000000 (+.f64 z 3)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 2) (pow.f64 (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)) 2)) (-.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z))))
(/.f64 (-.f64 (*.f64 (+.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 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) 2)) (-.f64 (+.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 -883075145810703/5000000000000 (+.f64 z 3))))
(/.f64 (+.f64 (pow.f64 (+.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))) 3) (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) 3)) (+.f64 (.f64 (+.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 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (-.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) 2) (.f64 (+.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 -883075145810703/5000000000000 (+.f64 z 3))))))
(/.f64 (+.f64 (.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) (.f64 (fma.f64 z z z) (-.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 2) (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) 2)))) (*.f64 (fma.f64 z z z) (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))
(/.f64 (+.f64 (.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 2) (.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (.f64 (fma.f64 z z z) (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 3) (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) 3)))) (.f64 (fma.f64 z z z) (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 2) (*.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))
(/.f64 (+.f64 (.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (.f64 (+.f64 z 2) (+.f64 z 3))) (.f64 (fma.f64 z z z) (+.f64 (+.f64 (.f64 7713234287776531/10000000000000 z) 23139702863329593/10000000000000) (.f64 (+.f64 z 2) -883075145810703/5000000000000)))) (.f64 (fma.f64 z z z) (*.f64 (+.f64 z 2) (+.f64 z 3))))
(/.f64 (+.f64 (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (.f64 (/.f64 (fma.f64 z z z) (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000))) (-.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 2) (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) 2)))) (.f64 (/.f64 (fma.f64 z z z) (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000))) (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))
(/.f64 (+.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 2) (.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (.f64 (/.f64 (fma.f64 z z z) (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000))) (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 3) (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) 3)))) (.f64 (/.f64 (fma.f64 z z z) (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000))) (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 2) (.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))
(/.f64 (+.f64 (.f64 (+.f64 z 2) (+.f64 z 3)) (.f64 (/.f64 (fma.f64 z z z) (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000))) (+.f64 (+.f64 (.f64 7713234287776531/10000000000000 z) 23139702863329593/10000000000000) (.f64 (+.f64 z 2) -883075145810703/5000000000000)))) (.f64 (/.f64 (fma.f64 z z z) (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000))) (.f64 (+.f64 z 2) (+.f64 z 3))))
(/.f64 (+.f64 (.f64 (neg.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000))) (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) (.f64 (neg.f64 (fma.f64 z z z)) (-.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 2) (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) 2)))) (*.f64 (neg.f64 (fma.f64 z z z)) (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))
(/.f64 (+.f64 (.f64 (neg.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000))) (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 2) (.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (.f64 (neg.f64 (fma.f64 z z z)) (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 3) (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) 3)))) (.f64 (neg.f64 (fma.f64 z z z)) (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 2) (*.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))
(/.f64 (+.f64 (.f64 (neg.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000))) (.f64 (+.f64 z 2) (+.f64 z 3))) (.f64 (neg.f64 (fma.f64 z z z)) (+.f64 (+.f64 (.f64 7713234287776531/10000000000000 z) 23139702863329593/10000000000000) (.f64 (+.f64 z 2) -883075145810703/5000000000000)))) (.f64 (neg.f64 (fma.f64 z z z)) (*.f64 (+.f64 z 2) (+.f64 z 3))))
(/.f64 (+.f64 (.f64 (-.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 2) (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) 2)) (fma.f64 z z z)) (.f64 (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)))) (*.f64 (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (fma.f64 z z z)))
(/.f64 (+.f64 (.f64 (-.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 2) (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) 2)) (/.f64 (fma.f64 z z z) (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)))) (.f64 (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 1)) (*.f64 (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 (fma.f64 z z z) (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)))))
(/.f64 (+.f64 (.f64 (-.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 2) (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) 2)) (neg.f64 (fma.f64 z z z))) (.f64 (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (neg.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000))))) (*.f64 (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (neg.f64 (fma.f64 z z z))))
(/.f64 (+.f64 (.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 3) (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) 3)) (fma.f64 z z z)) (.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 2) (.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)))) (.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 2) (*.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (fma.f64 z z z)))
(/.f64 (+.f64 (.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 3) (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) 3)) (/.f64 (fma.f64 z z z) (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)))) (.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 2) (.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) 1)) (.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 2) (*.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (/.f64 (fma.f64 z z z) (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)))))
(/.f64 (+.f64 (.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 3) (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) 3)) (neg.f64 (fma.f64 z z z))) (.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 2) (.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (neg.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000))))) (.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 2) (*.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (neg.f64 (fma.f64 z z z))))
(/.f64 (+.f64 (.f64 (+.f64 (+.f64 (.f64 7713234287776531/10000000000000 z) 23139702863329593/10000000000000) (.f64 (+.f64 z 2) -883075145810703/5000000000000)) (fma.f64 z z z)) (.f64 (.f64 (+.f64 z 2) (+.f64 z 3)) (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)))) (.f64 (*.f64 (+.f64 z 2) (+.f64 z 3)) (fma.f64 z z z)))
(/.f64 (+.f64 (.f64 (+.f64 (+.f64 (.f64 7713234287776531/10000000000000 z) 23139702863329593/10000000000000) (.f64 (+.f64 z 2) -883075145810703/5000000000000)) (/.f64 (fma.f64 z z z) (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)))) (.f64 (.f64 (+.f64 z 2) (+.f64 z 3)) 1)) (.f64 (*.f64 (+.f64 z 2) (+.f64 z 3)) (/.f64 (fma.f64 z z z) (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)))))
(/.f64 (+.f64 (.f64 (+.f64 (+.f64 (.f64 7713234287776531/10000000000000 z) 23139702863329593/10000000000000) (.f64 (+.f64 z 2) -883075145810703/5000000000000)) (neg.f64 (fma.f64 z z z))) (.f64 (.f64 (+.f64 z 2) (+.f64 z 3)) (neg.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000))))) (.f64 (*.f64 (+.f64 z 2) (+.f64 z 3)) (neg.f64 (fma.f64 z z z))))
(pow.f64 (+.f64 (/.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 -883075145810703/5000000000000 (+.f64 z 3)))) 1)
(log.f64 (exp.f64 (+.f64 (/.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 -883075145810703/5000000000000 (+.f64 z 3))))))
(cbrt.f64 (*.f64 (+.f64 (/.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 -883075145810703/5000000000000 (+.f64 z 3)))) (pow.f64 (+.f64 (/.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 -883075145810703/5000000000000 (+.f64 z 3)))) 2)))
(expm1.f64 (log1p.f64 (+.f64 (/.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 -883075145810703/5000000000000 (+.f64 z 3))))))
(exp.f64 (log.f64 (+.f64 (/.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 -883075145810703/5000000000000 (+.f64 z 3))))))
(log1p.f64 (expm1.f64 (+.f64 (/.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 -883075145810703/5000000000000 (+.f64 z 3))))))
(/.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)
(+.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))))
(+.f64 (/.f64 1183096179644721/5000000000000 (pow.f64 z 3)) (+.f64 (+.f64 (/.f64 (/.f64 153960904158449/625000000000 z) z) (/.f64 30223877537487/2500000000000 z)) (/.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 (/.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))))
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(/.f64 (fma.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (.f64 (+.f64 z 2) (+.f64 z 3)) (.f64 (fma.f64 z z z) (fma.f64 (+.f64 z 2) -883075145810703/5000000000000 (fma.f64 z 7713234287776531/10000000000000 23139702863329593/10000000000000)))) (.f64 (+.f64 z 2) (.f64 (fma.f64 z z z) (+.f64 z 3))))
(/.f64 (fma.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (.f64 (+.f64 z 2) (+.f64 z 3)) (.f64 (fma.f64 z z z) (fma.f64 z 7713234287776531/10000000000000 (+.f64 (.f64 -883075145810703/5000000000000 z) 19607402280086781/10000000000000)))) (.f64 (+.f64 z 2) (*.f64 (fma.f64 z z z) (+.f64 z 3))))
(/.f64 (+.f64 (.f64 (+.f64 (+.f64 (.f64 7713234287776531/10000000000000 z) 23139702863329593/10000000000000) (.f64 (+.f64 z 2) -883075145810703/5000000000000)) (/.f64 (fma.f64 z z z) (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)))) (.f64 (.f64 (+.f64 z 2) (+.f64 z 3)) 1)) (.f64 (*.f64 (+.f64 z 2) (+.f64 z 3)) (/.f64 (fma.f64 z z z) (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)))))
(/.f64 (fma.f64 (+.f64 z 2) (+.f64 z 3) (.f64 (+.f64 (fma.f64 7713234287776531/10000000000000 z 23139702863329593/10000000000000) (.f64 (+.f64 z 2) -883075145810703/5000000000000)) (/.f64 (fma.f64 z z z) (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000))))) (.f64 (.f64 (/.f64 (fma.f64 z z z) (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000))) (+.f64 z 2)) (+.f64 z 3)))
(.f64 (/.f64 (fma.f64 (+.f64 z 2) (+.f64 z 3) (.f64 (fma.f64 (+.f64 z 2) -883075145810703/5000000000000 (fma.f64 z 7713234287776531/10000000000000 23139702863329593/10000000000000)) (/.f64 (fma.f64 z z z) (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000))))) (.f64 (+.f64 z 2) (.f64 (fma.f64 z z z) (+.f64 z 3)))) (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)))
(/.f64 (fma.f64 (+.f64 z 2) (+.f64 z 3) (/.f64 (fma.f64 z 7713234287776531/10000000000000 (+.f64 (.f64 -883075145810703/5000000000000 z) 19607402280086781/10000000000000)) (/.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (fma.f64 z z z)))) (.f64 (+.f64 z 3) (/.f64 (*.f64 (fma.f64 z z z) (+.f64 z 2)) (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)))))
(/.f64 (+.f64 (.f64 (+.f64 (+.f64 (.f64 7713234287776531/10000000000000 z) 23139702863329593/10000000000000) (.f64 (+.f64 z 2) -883075145810703/5000000000000)) (neg.f64 (fma.f64 z z z))) (.f64 (.f64 (+.f64 z 2) (+.f64 z 3)) (neg.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000))))) (.f64 (*.f64 (+.f64 z 2) (+.f64 z 3)) (neg.f64 (fma.f64 z z z))))
(/.f64 (fma.f64 (+.f64 (fma.f64 7713234287776531/10000000000000 z 23139702863329593/10000000000000) (.f64 (+.f64 z 2) -883075145810703/5000000000000)) (neg.f64 (fma.f64 z z z)) (.f64 (+.f64 z 2) (.f64 (+.f64 z 3) (neg.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)))))) (.f64 (+.f64 z 2) (*.f64 (+.f64 z 3) (neg.f64 (fma.f64 z z z)))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (.f64 (+.f64 z 2) (+.f64 z 3)) (.f64 (fma.f64 z z z) (fma.f64 (+.f64 z 2) -883075145810703/5000000000000 (fma.f64 z 7713234287776531/10000000000000 23139702863329593/10000000000000))))) (.f64 (fma.f64 z z z) (neg.f64 (.f64 (+.f64 z 2) (+.f64 z 3)))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (.f64 (+.f64 z 2) (+.f64 z 3)) (.f64 (fma.f64 z z z) (fma.f64 z 7713234287776531/10000000000000 (+.f64 (.f64 -883075145810703/5000000000000 z) 19607402280086781/10000000000000))))) (.f64 (fma.f64 z z z) (neg.f64 (*.f64 (+.f64 z 2) (+.f64 z 3)))))
(pow.f64 (+.f64 (/.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 -883075145810703/5000000000000 (+.f64 z 3)))) 1)
(+.f64 (+.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 -883075145810703/5000000000000 (+.f64 z 3)))
(+.f64 (/.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 -883075145810703/5000000000000 (+.f64 z 3))))
(log.f64 (exp.f64 (+.f64 (/.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 -883075145810703/5000000000000 (+.f64 z 3))))))
(+.f64 (+.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 -883075145810703/5000000000000 (+.f64 z 3)))
(+.f64 (/.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 -883075145810703/5000000000000 (+.f64 z 3))))
(cbrt.f64 (*.f64 (+.f64 (/.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 -883075145810703/5000000000000 (+.f64 z 3)))) (pow.f64 (+.f64 (/.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 -883075145810703/5000000000000 (+.f64 z 3)))) 2)))
(cbrt.f64 (*.f64 (+.f64 (+.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 -883075145810703/5000000000000 (+.f64 z 3))) (pow.f64 (+.f64 (+.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 -883075145810703/5000000000000 (+.f64 z 3))) 2)))
(cbrt.f64 (pow.f64 (+.f64 (/.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 -883075145810703/5000000000000 (+.f64 z 3)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.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 -883075145810703/5000000000000 (+.f64 z 3))))))
(+.f64 (+.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 -883075145810703/5000000000000 (+.f64 z 3)))
(+.f64 (/.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 -883075145810703/5000000000000 (+.f64 z 3))))
(exp.f64 (log.f64 (+.f64 (/.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 -883075145810703/5000000000000 (+.f64 z 3))))))
(+.f64 (+.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 -883075145810703/5000000000000 (+.f64 z 3)))
(+.f64 (/.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 -883075145810703/5000000000000 (+.f64 z 3))))
(log1p.f64 (expm1.f64 (+.f64 (/.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 -883075145810703/5000000000000 (+.f64 z 3))))))
(+.f64 (+.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 -883075145810703/5000000000000 (+.f64 z 3)))
(+.f64 (/.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 -883075145810703/5000000000000 (+.f64 z 3))))
(/.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)
(*.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)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))) 3))
(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)))

localize23.0ms (0.1%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.1b

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

✓

0.3b

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

✓

0.4b

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

Compiler

Compiled 50 to 34 computations (32% saved)

series5.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite109.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1542×	`associate-*r/`
1228×	`associate-*l/`
696×	`associate-/r*`
424×	`associate-/l*`
324×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	91
1	330	85
2	3951	85

Stop Event

1×	node limit

Counts

3 → 245

Calls

Call 1

Inputs

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

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

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

Outputs

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simplify151.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

992×	`associate-/r*`
916×	`distribute-rgt-in`
916×	`distribute-lft-in`
900×	`associate-l`
894×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	592	11053
1	1673	10439
2	6199	10439

Stop Event

1×	node limit

Counts

281 → 353

Calls

Call 1

Inputs
(/.f64 2/13 (pow.f64 z 2))
(/.f64 2/13 (pow.f64 z 2))
(/.f64 2/13 (pow.f64 z 2))
(/.f64 2/13 (pow.f64 z 2))
(/.f64 2/13 (pow.f64 z 2))
(/.f64 2/13 (pow.f64 z 2))
(/.f64 2/13 (pow.f64 z 2))
(/.f64 2/13 (pow.f64 z 2))
(/.f64 2/13 (pow.f64 z 2))
(/.f64 2/13 (pow.f64 z 2))
(/.f64 2/13 (pow.f64 z 2))
(/.f64 2/13 (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 (/.f64 (sqrt.f64 45767980848377092942628957760201/325000000000000000000000000) z) (sqrt.f64 (.f64 (exp.f64 -13) (PI.f64))))
(.f64 (/.f64 (sqrt.f64 45767980848377092942628957760201/325000000000000000000000000) z) (sqrt.f64 (.f64 (exp.f64 -13) (PI.f64))))
(.f64 (/.f64 (sqrt.f64 45767980848377092942628957760201/325000000000000000000000000) z) (sqrt.f64 (.f64 (exp.f64 -13) (PI.f64))))
(.f64 (/.f64 (sqrt.f64 45767980848377092942628957760201/325000000000000000000000000) z) (sqrt.f64 (.f64 (exp.f64 -13) (PI.f64))))
(.f64 (/.f64 (sqrt.f64 45767980848377092942628957760201/325000000000000000000000000) z) (sqrt.f64 (.f64 (exp.f64 -13) (PI.f64))))
(.f64 (/.f64 (sqrt.f64 45767980848377092942628957760201/325000000000000000000000000) z) (sqrt.f64 (.f64 (exp.f64 -13) (PI.f64))))
(.f64 (/.f64 (sqrt.f64 45767980848377092942628957760201/325000000000000000000000000) z) (sqrt.f64 (.f64 (exp.f64 -13) (PI.f64))))
(.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 (PI.f64) (exp.f64 -13)))))
(.f64 -1 (.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 (PI.f64) (exp.f64 -13)))))
(.f64 -1 (.f64 (/.f64 (sqrt.f64 45767980848377092942628957760201/325000000000000000000000000) z) (sqrt.f64 (*.f64 (PI.f64) (exp.f64 -13)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/13 (pow.f64 z -2)))) 1)
(*.f64 2/13 (pow.f64 z -2))
(.f64 (.f64 2/13 (pow.f64 z -2)) 1)
(.f64 1 (.f64 2/13 (pow.f64 z -2)))
(*.f64 (/.f64 (sqrt.f64 2/13) z) (/.f64 (sqrt.f64 2/13) z))
(.f64 (cbrt.f64 (.f64 2/13 (pow.f64 z -2))) (cbrt.f64 (/.f64 4/169 (pow.f64 z 4))))
(.f64 (cbrt.f64 (/.f64 4/169 (pow.f64 z 4))) (cbrt.f64 (.f64 2/13 (pow.f64 z -2))))
(*.f64 (/.f64 2/13 z) (/.f64 1 z))
(*.f64 (pow.f64 z -2) 2/13)
(.f64 -2/13 (/.f64 -1 (.f64 z z)))
(*.f64 (/.f64 1 z) (/.f64 2/13 z))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 z 4))) (/.f64 2/13 (pow.f64 (cbrt.f64 z) 2)))
(.f64 (/.f64 -1 (.f64 z z)) -2/13)
(pow.f64 (*.f64 2/13 (pow.f64 z -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 2/13) z) 2)
(pow.f64 (cbrt.f64 (*.f64 2/13 (pow.f64 z -2))) 3)
(pow.f64 (pow.f64 (*.f64 2/13 (pow.f64 z -2)) 3) 1/3)
(pow.f64 (.f64 (.f64 z z) 13/2) -1)
(sqrt.f64 (/.f64 4/169 (pow.f64 z 4)))
(log.f64 (pow.f64 (exp.f64 2/13) (pow.f64 z -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/13 (pow.f64 z -2)))))
(cbrt.f64 (pow.f64 (*.f64 2/13 (pow.f64 z -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 2/13 (pow.f64 z -2))))
(exp.f64 (log.f64 (*.f64 2/13 (pow.f64 z -2))))
(exp.f64 (.f64 (log.f64 (.f64 2/13 (pow.f64 z -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 2/13 (pow.f64 z -2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (.f64 (.f64 (exp.f64 -13) 2/13) (pow.f64 z -2)))))) 1)
(/.f64 2/13 (/.f64 (.f64 z z) (.f64 (PI.f64) (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))))
(/.f64 (PI.f64) (/.f64 (.f64 (.f64 z z) 13/2) (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13))))
(/.f64 (PI.f64) (/.f64 (.f64 z z) (.f64 (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13)))
(/.f64 45767980848377092942628957760201/50000000000000000000000000 (/.f64 (.f64 (.f64 z z) 13/2) (*.f64 (PI.f64) (exp.f64 -13))))
(/.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (/.f64 (.f64 (*.f64 z z) 13/2) (exp.f64 -13)))
(/.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (/.f64 (.f64 z z) (*.f64 (exp.f64 -13) 2/13)))
(/.f64 (exp.f64 -13) (/.f64 (.f64 (.f64 z z) 13/2) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)))
(/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) 2/13)))
(/.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13))) (.f64 (.f64 z z) 13/2))
(/.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (.f64 (.f64 (exp.f64 -13) 2/13) (pow.f64 z -2)))) 1)
(/.f64 1 (/.f64 z (/.f64 (PI.f64) (/.f64 z (.f64 (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13)))))
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) (/.f64 (.f64 (.f64 z z) 13/2) (sqrt.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13))))))
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) (/.f64 (.f64 z z) (.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) 2/13)))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (.f64 z z) 13/2) (.f64 (sqrt.f64 (PI.f64)) (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))))
(/.f64 (sqrt.f64 (exp.f64 -13)) (/.f64 (.f64 (.f64 z z) 13/2) (.f64 (sqrt.f64 (exp.f64 -13)) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000))))
(/.f64 (sqrt.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)) (/.f64 (.f64 (.f64 z z) 13/2) (.f64 (sqrt.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)) (exp.f64 -13))))
(/.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) (/.f64 (.f64 (.f64 z z) 13/2) (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) 2) (/.f64 (.f64 (.f64 z z) 13/2) (cbrt.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13))))))
(/.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) 2) (/.f64 (.f64 z z) (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) 2/13)))
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 (.f64 (.f64 z z) 13/2) (.f64 (cbrt.f64 (PI.f64)) (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))))
(/.f64 (cbrt.f64 (exp.f64 -26)) (/.f64 (.f64 (.f64 z z) 13/2) (.f64 (cbrt.f64 (exp.f64 -13)) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000))))
(/.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)) 2) (/.f64 (.f64 (.f64 z z) 13/2) (.f64 (cbrt.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)) (exp.f64 -13))))
(/.f64 (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) (/.f64 (.f64 (*.f64 z z) 13/2) (PI.f64)))
(/.f64 (.f64 (PI.f64) (.f64 (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13)) (.f64 z z))
(/.f64 (.f64 (PI.f64) (.f64 (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13)) (neg.f64 (.f64 z (neg.f64 z))))
(/.f64 (/.f64 2/13 z) (/.f64 z (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))))
(/.f64 -2/13 (/.f64 (.f64 z (neg.f64 z)) (.f64 (PI.f64) (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))))
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) (/.f64 (.f64 z z) (sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13)))))
(/.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) (cbrt.f64 (.f64 (PI.f64) (.f64 (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13)))) (/.f64 (.f64 z z) (cbrt.f64 (.f64 (PI.f64) (.f64 (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13)))))
(/.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (sqrt.f64 (exp.f64 -13))) (/.f64 (.f64 (.f64 z z) 13/2) (sqrt.f64 (exp.f64 -13))))
(/.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (cbrt.f64 (exp.f64 -26))) (/.f64 (.f64 (.f64 z z) 13/2) (cbrt.f64 (exp.f64 -13))))
(/.f64 (.f64 (exp.f64 -13) (PI.f64)) (/.f64 (.f64 (*.f64 z z) 13/2) 45767980848377092942628957760201/50000000000000000000000000))
(/.f64 (.f64 (exp.f64 -13) (sqrt.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000))) (/.f64 (.f64 (.f64 z z) 13/2) (sqrt.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000))))
(/.f64 (.f64 (exp.f64 -13) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)) 2)) (/.f64 (.f64 (.f64 z z) 13/2) (cbrt.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000))))
(/.f64 (.f64 (pow.f64 z -2) (.f64 (PI.f64) (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) 13/2)
(/.f64 (.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13))) (/.f64 (sqrt.f64 2/13) z)) (sqrt.f64 (.f64 (*.f64 z z) 13/2)))
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(/.f64 (/.f64 (.f64 -2/13 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) -1) (.f64 z z))
(/.f64 (/.f64 (.f64 -2/13 (.f64 (PI.f64) (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) (neg.f64 (cbrt.f64 (pow.f64 z 4)))) (pow.f64 (cbrt.f64 z) 2))
(/.f64 (/.f64 (/.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13))) 13/2) 1) (*.f64 z z))
(/.f64 (/.f64 (/.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13))) 13/2) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) z))
(/.f64 (/.f64 (/.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13))) 13/2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (pow.f64 z 4)))
(/.f64 (/.f64 (/.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13))) 13/2) (pow.f64 (cbrt.f64 z) 2)) (*.f64 (cbrt.f64 z) z))
(/.f64 (/.f64 (/.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13))) 13/2) (*.f64 z (sqrt.f64 z))) (sqrt.f64 z))
(/.f64 (/.f64 (/.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13))) 13/2) (*.f64 z (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
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(/.f64 (/.f64 (/.f64 (.f64 (PI.f64) (.f64 (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13)) (cbrt.f64 (pow.f64 z 4))) (sqrt.f64 (pow.f64 (cbrt.f64 z) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 z) 2)))
(/.f64 (/.f64 (/.f64 (.f64 (PI.f64) (.f64 (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13)) (cbrt.f64 (pow.f64 z 4))) (cbrt.f64 (cbrt.f64 (pow.f64 z 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2)))
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(/.f64 (/.f64 (neg.f64 (.f64 (PI.f64) (.f64 (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) (cbrt.f64 (pow.f64 z 4))) (neg.f64 (pow.f64 (cbrt.f64 z) 2)))
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(/.f64 (/.f64 (neg.f64 (.f64 (PI.f64) (.f64 (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) (neg.f64 z)) z)
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(pow.f64 (.f64 (/.f64 4/169 (pow.f64 z 4)) (.f64 (exp.f64 -26) (*.f64 2094708070937412364256458402165541255689667439066801058619560401/2500000000000000000000000000000000000000000000000000 (pow.f64 (PI.f64) 2)))) 1/2)
(pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (.f64 (.f64 (exp.f64 -13) 2/13) (pow.f64 z -2)))) 3) 1/3)
(sqrt.f64 (.f64 (/.f64 4/169 (pow.f64 z 4)) (.f64 (exp.f64 -26) (*.f64 2094708070937412364256458402165541255689667439066801058619560401/2500000000000000000000000000000000000000000000000000 (pow.f64 (PI.f64) 2)))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 2/13) (pow.f64 z -2)) (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (.f64 (.f64 (exp.f64 -13) 2/13) (pow.f64 z -2)))))))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (.f64 (.f64 (exp.f64 -13) 2/13) (pow.f64 z -2)))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 2/13 (pow.f64 z -2)) 3) (pow.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13))) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13))) 3) (pow.f64 (.f64 2/13 (pow.f64 z -2)) 3)))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (.f64 (.f64 (exp.f64 -13) 2/13) (pow.f64 z -2))))))
(exp.f64 (log.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (.f64 (.f64 (exp.f64 -13) 2/13) (pow.f64 z -2))))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (.f64 (*.f64 (exp.f64 -13) 2/13) (pow.f64 z -2))))) 1))
(log1p.f64 (expm1.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (.f64 (.f64 (exp.f64 -13) 2/13) (pow.f64 z -2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) z))) 1)
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) z) 1)
(.f64 1 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) z))
(.f64 (/.f64 (sqrt.f64 2/13) z) (sqrt.f64 (.f64 (PI.f64) (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) (/.f64 (sqrt.f64 2/13) z))
(.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) z)) (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) z)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)) (sqrt.f64 (.f64 (.f64 (exp.f64 -13) 2/13) (pow.f64 z -2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000)) (pow.f64 (.f64 (.f64 (exp.f64 -13) 2/13) (pow.f64 z -2)) 1/2))
(.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (.f64 (.f64 (exp.f64 -13) 2/13) (pow.f64 z -2))))) (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) z)))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) z)) (cbrt.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (.f64 (.f64 (exp.f64 -13) 2/13) (pow.f64 z -2))))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (.f64 (.f64 (exp.f64 -13) 2/13) (pow.f64 z -2))))) 2)) (sqrt.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (.f64 (*.f64 (exp.f64 -13) 2/13) (pow.f64 z -2)))))))
(.f64 (pow.f64 1 1/2) (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) z))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (.f64 (.f64 (exp.f64 -13) 2/13) (pow.f64 z -2))))) 2) 1/2) (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (.f64 (*.f64 (exp.f64 -13) 2/13) (pow.f64 z -2))))) 1/2))
(/.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) z) 1)
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) (sqrt.f64 (.f64 (.f64 z z) 13/2)))
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) z)
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) 1) (sqrt.f64 (.f64 (*.f64 z z) 13/2)))
(/.f64 (.f64 1 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13)))) z)
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) (sqrt.f64 2/13)) z)
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) (sqrt.f64 (/.f64 2/13 z))) (sqrt.f64 z))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) (sqrt.f64 -2/13)) (sqrt.f64 (.f64 z (neg.f64 z))))
(/.f64 (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) z)) (cbrt.f64 (.f64 (PI.f64) (.f64 (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13)))) (pow.f64 (cbrt.f64 z) 2))
(/.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13)))) z)
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) 1) z)
(/.f64 (.f64 (sqrt.f64 2/13) (sqrt.f64 (.f64 (PI.f64) (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13))))) z)
(/.f64 (.f64 (sqrt.f64 (/.f64 2/13 z)) (sqrt.f64 (.f64 (PI.f64) (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13))))) (sqrt.f64 z))
(/.f64 (.f64 (sqrt.f64 -2/13) (sqrt.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13))))) (sqrt.f64 (.f64 z (neg.f64 z))))
(/.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) z))) (pow.f64 (cbrt.f64 z) 2))
(/.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) 1) z)
(/.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(/.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2))
(/.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) (sqrt.f64 (cbrt.f64 (pow.f64 z 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 z) 2)))
(pow.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (.f64 (.f64 (exp.f64 -13) 2/13) (pow.f64 z -2)))) 1/2)
(pow.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) z) 1)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) z)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) z)) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) z) 3) 1/3)
(fabs.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) z))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) z)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) z))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) z) 3))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) z)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) z)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (.f64 (*.f64 (exp.f64 -13) 2/13) (pow.f64 z -2))))) 1/2))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) z)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) z)))

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

localize179.0ms (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	(exp.f64 (+.f64 z 13/2))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.9b	(+.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)))))))

Compiler

Compiled 465 to 377 computations (18.9% saved)

series5.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

-inf

(+.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)))))))

0.0ms

inf

(+.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)))))))

0.0ms

(+.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)))))))

rewrite82.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1046×	`add-sqr-sqrt`
998×	`add-exp-log`
998×	`add-cbrt-cube`
998×	`add-log-exp`
998×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	133
1	1016	133

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs

(+.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)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.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 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 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 (cbrt.f64 (+.f64 (/.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 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2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 6765203681218851/10000000000000 z) (/.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 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simplify82.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1404×	`associate--l+`
1302×	`associate-r`
1198×	`associate-*r/`
1034×	`associate-l`
708×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	101	2391
1	276	2371
2	1154	2107
3	5654	2107

Stop Event

1×	node limit

Counts

23 → 41

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 1 (+.f64 (/.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 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 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))))))))))
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(/.f64 (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 z) (/.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 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 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 6765203681218851/10000000000000 z) (/.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 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 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 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 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 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 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 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 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 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)) 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)
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(/.f64 611458333333720910362579/25000000000000000000000 z)
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(expm1.f64 (log1p.f64 (+.f64 (/.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 6765203681218851/10000000000000 z) (/.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 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.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 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))))
(exp.f64 (log.f64 (+.f64 (/.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 6765203681218851/10000000000000 z) (/.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 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.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 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))))
(log1p.f64 (expm1.f64 (+.f64 (/.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 6765203681218851/10000000000000 z) (/.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 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.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 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))))

localize255.0ms (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	(exp.f64 (+.f64 (neg.f64 (-.f64 z -6)) -1/2))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.1b	(-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))))

Compiler

Compiled 711 to 575 computations (19.1% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))))
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 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))))
0.0ms	z	@	-inf	(-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))))
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)))

rewrite76.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1060×	`add-sqr-sqrt`
1002×	`*-un-lft-identity`
1000×	`add-exp-log`
1000×	`add-cbrt-cube`
1000×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	142
1	1051	142

Stop Event

1×	node limit

Counts

2 → 19

Calls

Call 1

Inputs

(-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))))

(*.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 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (*.f64 (neg.f64 (+.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 -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 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (neg.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2))) (sqrt.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2))) (cbrt.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2)))) (cbrt.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))) (*.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2))) (+.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) 3) (pow.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2) 3)) (+.f64 (*.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))) (+.f64 (*.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2)) (*.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2)) (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2))) (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 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 (neg.f64 (+.f64 z 6)) -1/2)))) 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 (neg.f64 (+.f64 z 6)) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.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 (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 (neg.f64 (+.f64 z 6)) -1/2))))))))) (#(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 (neg.f64 (+.f64 z 6)) -1/2))))))))) (#(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 (neg.f64 (+.f64 z 6)) -1/2))))))))) (#(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 (neg.f64 (+.f64 z 6)) -1/2))))))))))

simplify77.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1752×	`fma-def`
1312×	`distribute-lft-in`
1258×	`distribute-rgt-in`
962×	`*-commutative`
452×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	194	3303
1	560	3055
2	2083	2905

Stop Event

1×	node limit

Counts

43 → 74

Calls

Call 1

Inputs
(/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 z 2))
(-.f64 (*.f64 45767980848377092942628957760201/100000000000000000000000000 (/.f64 1 (pow.f64 z 2))) 86741129270420043278133215250428092801/100000000000000000000000000000000)
(-.f64 (+.f64 (.f64 1213658532872945319096153413835700351/600000000000000000000000000000 z) (.f64 45767980848377092942628957760201/100000000000000000000000000 (/.f64 1 (pow.f64 z 2)))) 86741129270420043278133215250428092801/100000000000000000000000000000000)
(-.f64 (+.f64 (.f64 1213658532872945319096153413835700351/600000000000000000000000000000 z) (+.f64 (.f64 45767980848377092942628957760201/100000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 -4028684411240460536980092656694663701/1200000000000000000000000000000 (pow.f64 z 2)))) 86741129270420043278133215250428092801/100000000000000000000000000000000)
-99999999999961980000000003613801/100000000000000000000000000000000
(-.f64 (*.f64 66443081710676399170166798015397/50000000000000000000000000000 (/.f64 1 z)) 99999999999961980000000003613801/100000000000000000000000000000000)
(-.f64 (+.f64 (.f64 66443081710676399170166798015397/50000000000000000000000000000 (/.f64 1 z)) (.f64 49121321466043995486284559486299/3125000000000000000000000000 (/.f64 1 (pow.f64 z 2)))) 99999999999961980000000003613801/100000000000000000000000000000000)
(-.f64 (+.f64 (.f64 8171878586404666539593906396190621/25000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 66443081710676399170166798015397/50000000000000000000000000000 (/.f64 1 z)) (*.f64 49121321466043995486284559486299/3125000000000000000000000000 (/.f64 1 (pow.f64 z 2))))) 99999999999961980000000003613801/100000000000000000000000000000000)
-99999999999961980000000003613801/100000000000000000000000000000000
(-.f64 (*.f64 66443081710676399170166798015397/50000000000000000000000000000 (/.f64 1 z)) 99999999999961980000000003613801/100000000000000000000000000000000)
(-.f64 (+.f64 (.f64 66443081710676399170166798015397/50000000000000000000000000000 (/.f64 1 z)) (.f64 49121321466043995486284559486299/3125000000000000000000000000 (/.f64 1 (pow.f64 z 2)))) 99999999999961980000000003613801/100000000000000000000000000000000)
(-.f64 (+.f64 (.f64 8171878586404666539593906396190621/25000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 66443081710676399170166798015397/50000000000000000000000000000 (/.f64 1 z)) (*.f64 49121321466043995486284559486299/3125000000000000000000000000 (/.f64 1 (pow.f64 z 2))))) 99999999999961980000000003613801/100000000000000000000000000000000)
(.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 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (.f64 (neg.f64 (+.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 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))))
(+.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (neg.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2)))
(.f64 1 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2)))
(.f64 (sqrt.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2))) (sqrt.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2))))
(.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2))) (cbrt.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2)))) (cbrt.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2))))
(/.f64 (-.f64 (.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z))) (.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2))) (+.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2)))
(/.f64 (-.f64 (pow.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) 3) (pow.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2) 3)) (+.f64 (.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z))) (+.f64 (.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2)) (.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2)))))
(pow.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2)) 1)
(log.f64 (exp.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2))))
(cbrt.f64 (.f64 (.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2)) (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2))) (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2))))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2))))
(exp.f64 (log.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2))))
(pow.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.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 (sqrt.f64 (.f64 2 (PI.f64))) (*.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 (sqrt.f64 (.f64 2 (PI.f64))) (.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 (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 (neg.f64 (+.f64 z 6)) -1/2))))))
(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 (neg.f64 (+.f64 z 6)) -1/2))))))
(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 (neg.f64 (+.f64 z 6)) -1/2))))))
(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 (neg.f64 (+.f64 z 6)) -1/2))))))

Outputs
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(-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 2))
(-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2))
(cbrt.f64 (.f64 (.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2)) (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2))) (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2))))
(-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 z) z) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2))
(-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 2))
(-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2))))
(-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 z) z) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2))
(-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 2))
(-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2))
(exp.f64 (log.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2))))
(-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 z) z) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2))
(-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 2))
(-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2))))
(-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 z) z) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2))
(-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 2))
(-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) 2))
(pow.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.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 (neg.f64 (+.f64 z 6))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))
(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 (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 (neg.f64 (+.f64 z 6))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))
(cbrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.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 (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 (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 (neg.f64 (+.f64 z 6))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))
(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 (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 (neg.f64 (+.f64 z 6))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))
(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 (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 (neg.f64 (+.f64 z 6))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))
(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 (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 (neg.f64 (+.f64 z 6))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))

localize291.0ms (1.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 428 to 352 computations (17.8% saved)

series6.0ms (0%)

Counts

1 → 11

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

inf

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

2.0ms

-inf

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

0.0ms

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

rewrite88.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

622×	`add-sqr-sqrt`
590×	`add-cube-cbrt`
588×	`add-exp-log`
588×	`add-cbrt-cube`
588×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	67
1	630	67

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 2) (+.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.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))) 2) (+.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.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 1 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.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 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.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 (sqrt.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (sqrt.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.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 (cbrt.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (cbrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) 2)) (cbrt.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.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 (-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.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 6765203681218851/10000000000000 z) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.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 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simplify170.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1012×	`associate-/r*`
888×	`associate-*r/`
778×	`associate-*l/`
694×	`associate--l+`
626×	`associate--r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	334	9272
1	1059	8914
2	4468	8914

Stop Event

1×	node limit

Counts

48 → 104

Calls

Call 1

Inputs
6535800760028927/20000000000000
(+.f64 6535800760028927/20000000000000 (*.f64 -4156967161566877/24000000000000 z))
(+.f64 6535800760028927/20000000000000 (+.f64 (.f64 -4156967161566877/24000000000000 z) (.f64 64709374478998363/720000000000000 (pow.f64 z 2))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 -5826188486005177/30000000000000 (.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 9999999999998099/10000000000000000) 4)) 1/3) (/.f64 1 z))) (+.f64 (.f64 47576671969241/80000000000 (/.f64 1 z)) (.f64 -5826188486005177/15000000000000 (.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 9999999999998099/10000000000000000) 4)) 1/3) (/.f64 1 z))))))
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9999999999998099/10000000000000000
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Outputs
6535800760028927/20000000000000
(+.f64 6535800760028927/20000000000000 (*.f64 -4156967161566877/24000000000000 z))
(fma.f64 -4156967161566877/24000000000000 z 6535800760028927/20000000000000)
(+.f64 6535800760028927/20000000000000 (+.f64 (.f64 -4156967161566877/24000000000000 z) (.f64 64709374478998363/720000000000000 (pow.f64 z 2))))
(+.f64 6535800760028927/20000000000000 (fma.f64 -4156967161566877/24000000000000 z (.f64 64709374478998363/720000000000000 (.f64 z z))))
(+.f64 (fma.f64 -4156967161566877/24000000000000 z 6535800760028927/20000000000000) (.f64 z (.f64 z 64709374478998363/720000000000000)))
9999999999998099/10000000000000000
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(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 2) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 2))) (neg.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))))
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(/.f64 (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 6765203681218851/10000000000000 z))) 2) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 2)) (+.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)))))
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(.f64 (+.f64 (pow.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (/.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 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 2) (.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 6765203681218851/10000000000000 z))) 3) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 3)) (fma.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 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 6765203681218851/10000000000000 z)))) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 6765203681218851/10000000000000 z))) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 6765203681218851/10000000000000 z))) 3) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 3)) (fma.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (+.f64 (/.f64 -6765203681218851/10000000000000 z) (+.f64 (-.f64 -9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 6765203681218851/10000000000000 z))) 2)))
(pow.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) 1)
(+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 6765203681218851/10000000000000 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) 2))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) 2))
(fabs.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 6765203681218851/10000000000000 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))
(log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))))
(+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 6765203681218851/10000000000000 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(cbrt.f64 (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) (pow.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) 2)))
(cbrt.f64 (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) (pow.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) 2)))
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(+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
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(exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))))
(+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 6765203681218851/10000000000000 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))))
(+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 6765203681218851/10000000000000 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))

eval2.0s (7.5%)

Compiler: Compiled 70476 to 57436 computations (18.5% saved)

prune881.0ms (3.4%)

Pruning

149 alts after pruning (144 fresh and 5 done)

	Pruned	Kept	Total
New	965	44	1009
Fresh	27	100	127
Picked	1	0	1
Done	3	5	8
Total	996	149	1145

Error

0.1b

Counts

1145 → 149

Alt Table

Click to see full alt table

Status	Error	Program
	55.8b	(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (exp.f64 -13/2)) (sqrt.f64 2/13)) z)
	55.8b	(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) (sqrt.f64 2/13)) z)
	55.8b	(/.f64 (sqrt.f64 (.f64 (exp.f64 -13) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000))) (sqrt.f64 (.f64 (.f64 z z) 13/2)))
▶	55.8b	(/.f64 (sqrt.f64 (.f64 (exp.f64 -13) (.f64 45767980848377092942628957760201/325000000000000000000000000 (PI.f64)))) z)
	55.8b	(.f64 (/.f64 (sqrt.f64 45767980848377092942628957760201/325000000000000000000000000) z) (sqrt.f64 (.f64 (exp.f64 -13) (PI.f64))))
	55.8b	(.f64 (/.f64 (sqrt.f64 2/13) z) (sqrt.f64 (.f64 (exp.f64 -13) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000))))
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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 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.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 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 9999999999998099/10000000000000000))))))
	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))))))))
▶	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 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 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)))))))
	2.8b	(.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)))))
	3.6b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (exp.f64 (fma.f64 (neg.f64 (log.f64 (+.f64 z 13/2))) (-.f64 1/2 z) (-.f64 -13/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.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 -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)))))))
	3.9b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (-.f64 (-.f64 -13/2 z) (.f64 (log.f64 (+.f64 z 13/2)) (-.f64 1/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.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 -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)))))))
	53.1b	(.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)))))
▶	2.9b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (cbrt.f64 (pow.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)))) 3)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
	53.1b	(.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)))))
	53.1b	(.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)))))
	53.0b	(.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))))))
	55.8b	(sqrt.f64 (/.f64 (/.f64 (PI.f64) (/.f64 z (.f64 (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) z))
	55.8b	(sqrt.f64 (/.f64 (/.f64 2/13 z) (/.f64 z (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13))))))
	55.8b	(sqrt.f64 (/.f64 (.f64 (/.f64 (PI.f64) (/.f64 z (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) 1) (/.f64 z 2/13)))
	55.8b	(sqrt.f64 (/.f64 (.f64 (/.f64 (PI.f64) (/.f64 z (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) 2/13) z))
	55.8b	(sqrt.f64 (/.f64 (.f64 (exp.f64 -13) (PI.f64)) (.f64 (*.f64 z z) 325000000000000000000000000/45767980848377092942628957760201)))
	55.8b	(sqrt.f64 (/.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (/.f64 (.f64 (*.f64 z z) 13/2) (exp.f64 -13))))
	55.8b	(sqrt.f64 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) 2/13))))
	55.8b	(sqrt.f64 (/.f64 (PI.f64) (/.f64 (.f64 z z) (.f64 (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))))
	55.8b	(sqrt.f64 (/.f64 1 (/.f64 z (/.f64 (PI.f64) (/.f64 z (.f64 (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))))))
✓	55.8b	(sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (/.f64 2/13 (.f64 z z))))
	55.8b	(sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (.f64 (/.f64 1 z) (/.f64 2/13 z))))
	55.8b	(sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (.f64 (/.f64 -1 (*.f64 z z)) -2/13)))
	55.8b	(sqrt.f64 (.f64 (.f64 (.f64 2 (PI.f64)) 45767980848377092942628957760201/100000000000000000000000000) (.f64 (exp.f64 -13) (/.f64 2/13 (*.f64 z z)))))
	55.8b	(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64)))))

Compiler

Compiled 21217 to 17703 computations (16.6% saved)

localize179.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (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 z 2)) (/.f64 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (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	(exp.f64 (-.f64 -13/2 z))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 454 to 346 computations (23.8% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite96.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1362×	`add-sqr-sqrt`
1296×	`add-exp-log`
1292×	`add-cbrt-cube`
1292×	`add-cube-cbrt`
1282×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	226
1	1322	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 z 2)) (/.f64 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (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 z 2)) (/.f64 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (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 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (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 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (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 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (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 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (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 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (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 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (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 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simplify84.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1042×	`associate-+r+`
1034×	`times-frac`
1030×	`*-commutative`
942×	`associate-+l+`
810×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	250	4594
1	735	3824
2	2750	3524

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)))))
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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 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 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)
(-.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 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (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 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (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 (+.f64 6765203681218851/10000000000000 (.f64 z -5826188486005177/10000000000000)) (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 (+.f64 6765203681218851/10000000000000 (.f64 z -5826188486005177/10000000000000)) (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 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (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 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (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 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (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 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (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 (+.f64 6765203681218851/10000000000000 (.f64 z -5826188486005177/10000000000000)) (fma.f64 z z z))))
(.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 6765203681218851/10000000000000 (.f64 z -5826188486005177/10000000000000)) (fma.f64 z z z)))) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (fma.f64 z z z)))))
(.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 6765203681218851/10000000000000 (.f64 z -5826188486005177/10000000000000)) (fma.f64 z z z)))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 6765203681218851/10000000000000 (.f64 z -5826188486005177/10000000000000)) (fma.f64 z z z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (fma.f64 z z z)))))
(/.f64 (-.f64 (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (.f64 (/.f64 (+.f64 6765203681218851/10000000000000 (.f64 z -5826188486005177/10000000000000)) (fma.f64 z z z)) (/.f64 (+.f64 6765203681218851/10000000000000 (.f64 z -5826188486005177/10000000000000)) (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))))
(/.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 3) (pow.f64 (/.f64 (+.f64 6765203681218851/10000000000000 (.f64 z -5826188486005177/10000000000000)) (fma.f64 z z z)) 3)) (+.f64 (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 (.f64 (/.f64 (+.f64 6765203681218851/10000000000000 (.f64 z -5826188486005177/10000000000000)) (fma.f64 z z z)) (/.f64 (+.f64 6765203681218851/10000000000000 (.f64 z -5826188486005177/10000000000000)) (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))))))
(/.f64 (+.f64 (.f64 7713234287776531/10000000000000 (fma.f64 z z z)) (.f64 (+.f64 z 2) (+.f64 6765203681218851/10000000000000 (.f64 z -5826188486005177/10000000000000)))) (.f64 (+.f64 z 2) (fma.f64 z z z)))
(pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (fma.f64 z z z))) 1)
(log.f64 (exp.f64 (+.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 (+.f64 6765203681218851/10000000000000 (.f64 z -5826188486005177/10000000000000)) (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)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (fma.f64 z z z)))))
(expm1.f64 (log1p.f64 (+.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 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (fma.f64 z z z)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (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 6765203681218851/10000000000000 (.f64 (/.f64 (sqrt.f64 2/13) z) (exp.f64 -13/2)))
(/.f64 (.f64 (sqrt.f64 2/13) (.f64 6765203681218851/10000000000000 (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))))
(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) (exp.f64 -13/2)) (+.f64 (log.f64 13/2) -1/13) (.f64 (/.f64 (sqrt.f64 2/13) z) (exp.f64 -13/2))) (.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) -842504472367242574293517613/525000000000000000000000)))
(fma.f64 6765203681218851/10000000000000 (.f64 (exp.f64 -13/2) (+.f64 (/.f64 (sqrt.f64 2/13) z) (.f64 (sqrt.f64 2/13) (+.f64 (log.f64 13/2) -1/13)))) (.f64 (exp.f64 -13/2) (.f64 (sqrt.f64 2/13) -842504472367242574293517613/525000000000000000000000)))
(+.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)))))
(fma.f64 (.f64 (exp.f64 -13/2) -842504472367242574293517613/525000000000000000000000) (sqrt.f64 2/13) (fma.f64 6765203681218851/10000000000000 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (log.f64 13/2) -1/13)) (fma.f64 (fma.f64 6765203681218851/10000000000000 (.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)))) (fma.f64 (.f64 (exp.f64 -13/2) -842504472367242574293517613/525000000000000000000000) (.f64 (sqrt.f64 2/13) (+.f64 (log.f64 13/2) -1/13)) (.f64 (sqrt.f64 2/13) (fma.f64 487331279103252896793517613/525000000000000000000000 (exp.f64 -13/2) (.f64 (exp.f64 -13/2) 490411386541407825911312627/344531250000000000000000))))) z (*.f64 6765203681218851/10000000000000 (/.f64 (sqrt.f64 2/13) (/.f64 z (exp.f64 -13/2)))))))
(+.f64 (fma.f64 6765203681218851/10000000000000 (fma.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (log.f64 13/2) -1/13) (.f64 (/.f64 (sqrt.f64 2/13) z) (exp.f64 -13/2))) (.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) -842504472367242574293517613/525000000000000000000000))) (.f64 z (fma.f64 6765203681218851/10000000000000 (.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169))) (.f64 (sqrt.f64 2/13) (+.f64 (.f64 (exp.f64 -13/2) (.f64 -842504472367242574293517613/525000000000000000000000 (+.f64 (log.f64 13/2) -1/13))) (*.f64 (exp.f64 -13/2) 25927121230493361261825873937/11025000000000000000000000))))))
(+.f64 (fma.f64 z (fma.f64 6765203681218851/10000000000000 (.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (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 25927121230493361261825873937/11025000000000000000000000 (.f64 (+.f64 (log.f64 13/2) -1/13) -842504472367242574293517613/525000000000000000000000))))) (/.f64 (.f64 (sqrt.f64 2/13) (.f64 6765203681218851/10000000000000 (exp.f64 -13/2))) z)) (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 -842504472367242574293517613/525000000000000000000000 (+.f64 -6765203681218851/130000000000000 (.f64 6765203681218851/10000000000000 (log.f64 13/2))))))
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(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (fma.f64 z z z)))
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(/.f64 (-.f64 (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (.f64 (/.f64 (+.f64 6765203681218851/10000000000000 (.f64 z -5826188486005177/10000000000000)) (fma.f64 z z z)) (/.f64 (+.f64 6765203681218851/10000000000000 (.f64 z -5826188486005177/10000000000000)) (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))))
(/.f64 (-.f64 (/.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (+.f64 z 2)) (+.f64 z 2)) (*.f64 (/.f64 (fma.f64 z -5826188486005177/10000000000000 6765203681218851/10000000000000) (fma.f64 z z z)) (/.f64 (fma.f64 z -5826188486005177/10000000000000 6765203681218851/10000000000000) (fma.f64 z z z)))) (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -5826188486005177/10000000000000 6765203681218851/10000000000000) (fma.f64 z z z))))
(/.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -5826188486005177/10000000000000 6765203681218851/10000000000000) (fma.f64 z z z))) 1)
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(/.f64 (fma.f64 7713234287776531/10000000000000 (fma.f64 z z z) (.f64 (+.f64 z 2) (+.f64 6765203681218851/10000000000000 (.f64 z -5826188486005177/10000000000000)))) (*.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 -5826188486005177/10000000000000 6765203681218851/10000000000000))) (.f64 (+.f64 z 2) (fma.f64 z z z)))
(pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (fma.f64 z z z))) 1)
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (fma.f64 z z z)))
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(expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (fma.f64 z z z)))))
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(exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (fma.f64 z z z)))))
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(log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (fma.f64 z z z)))))
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(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (fma.f64 z -5826188486005177/10000000000000 6765203681218851/10000000000000) (fma.f64 z z z)))

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

New

Error

Program

✓

0.6b

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

✓

1.0b

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

Compiler

Compiled 32 to 26 computations (18.8% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

0.0ms

-inf

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

0.0ms

inf

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

rewrite79.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

892×	`associate-/r*`
858×	`unswap-sqr`
822×	`swap-sqr`
814×	`associate-/l*`
588×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	262	48
2	3137	48

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify117.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1342×	`associate-+l+`
888×	`unswap-sqr`
718×	`associate-/l*`
686×	`associate-*r/`
640×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	181	3177
1	458	3015
2	1578	3015
3	6379	3015

Stop Event

1×	node limit

Counts

81 → 105

Calls

Call 1

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

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

localize229.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))
✓	0.9b	(+.f64 (+.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 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))))
	1.0b	(exp.f64 (-.f64 -13/2 z))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 435 to 351 computations (19.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(+.f64 (+.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 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))))
0.0ms	z	@	inf	(+.f64 (+.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 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))))
0.0ms	z	@	-inf	(+.f64 (+.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 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))))
0.0ms	z	@	inf	(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))
0.0ms	z	@	-inf	(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))

rewrite90.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1046×	`add-sqr-sqrt`
998×	`add-exp-log`
998×	`add-cbrt-cube`
998×	`add-log-exp`
998×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	176
1	1016	176

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs

(+.f64 (+.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 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))))

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

Outputs

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

simplify104.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1512×	`associate-+l-`
1454×	`fma-def`
1130×	`associate-+l+`
930×	`associate-+r+`
720×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	157	3484
1	468	3464
2	2111	3104
3	7502	3104

Stop Event

1×	node limit

Counts

46 → 79

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)
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(/.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)))
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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)
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(/.f64 943522900885677/5000000000000 z)
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(/.f64 (+.f64 (pow.f64 (+.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))))) 3) (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)))) 3)) (+.f64 (.f64 (+.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 (/.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 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))))) (*.f64 (+.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 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))))))))
(pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)))))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))))))))
(cbrt.f64 (.f64 (.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))))))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))))))))
(exp.f64 (log.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))))))))
(*.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))
(.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))
(/.f64 (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (-.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))
(/.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 z) 3) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 3)) (+.f64 (.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (-.f64 (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (*.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))
(pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))
(cbrt.f64 (.f64 (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))
(exp.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))

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)
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(/.f64 611458333333720910362579/25000000000000000000000 z)
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(/.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)
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(+.f64 (fma.f64 z 42652334381119581/40000000000000 (/.f64 6765203681218851/10000000000000 z)) -698782001866861/800000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z 42652334381119581/40000000000000 -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 (fma.f64 z 42652334381119581/40000000000000 (/.f64 6765203681218851/10000000000000 z)) (fma.f64 z (*.f64 z -93017903050015693/80000000000000) -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)))
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(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)) (/.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 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))
(*.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))
(.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))
(/.f64 (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (-.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))
(/.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 z) z) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (+.f64 (/.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 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 1)
(/.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 z) 3) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 3)) (+.f64 (.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z)) (-.f64 (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (*.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))
(/.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 3)) (fma.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 6765203681218851/10000000000000 z) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 6765203681218851/10000000000000 z)))))
(/.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 3)) (fma.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))) (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 z) z)))
(/.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 3)) (fma.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -6765203681218851/10000000000000 z))) (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 z) z)))
(pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 1)
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))
(log.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))
(cbrt.f64 (.f64 (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))
(exp.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))

localize309.0ms (1.2%)

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 -13/2 z)))
	1.0b	(exp.f64 (-.f64 -13/2 z))
✓	1.0b	(sqrt.f64 (*.f64 2 (PI.f64)))
	1.1b	(-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))))

Compiler

Compiled 681 to 547 computations (19.7% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

-inf

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

0.0ms

inf

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

rewrite79.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1510×	`associate-*r/`
1166×	`associate-*l/`
398×	`add-sqr-sqrt`
378×	`*-un-lft-identity`
376×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	48
1	393	48
2	4864	48

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

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

simplify78.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1056×	`associate-/l/`
910×	`fma-def`
650×	`*-commutative`
630×	`associate-+r-`
572×	`associate-+l-`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	202	2406
1	496	2300
2	1629	2214
3	5787	2210

Stop Event

1×	node limit

Counts

64 → 78

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

localize197.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.9b	(+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
	1.0b	(exp.f64 (+.f64 z 13/2))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.2b	(+.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))))

Compiler

Compiled 508 to 415 computations (18.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(+.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))))

0.0ms

inf

(+.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))))

0.0ms

-inf

(+.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))))

rewrite124.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1092×	`add-sqr-sqrt`
1042×	`add-exp-log`
1042×	`add-cbrt-cube`
1042×	`add-log-exp`
1042×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	139
1	1064	139

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs

(+.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))))

Outputs

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

simplify121.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1482×	`associate-+l-`
1358×	`associate-r`
1168×	`associate-+l+`
1158×	`associate-l`
1018×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	99	2439
1	268	2431
2	1351	2149
3	7637	2149

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

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)
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eval1.2s (4.8%)

Compiler: Compiled 52011 to 42323 computations (18.6% saved)

prune521.0ms (2%)

Pruning

146 alts after pruning (137 fresh and 9 done)

	Pruned	Kept	Total
New	669	30	699
Fresh	32	107	139
Picked	0	1	1
Done	1	8	9
Total	702	146	848

Error

0.1b

Counts

848 → 146

Alt Table

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Status	Error	Program
	55.8b	(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (exp.f64 -13/2)) (sqrt.f64 2/13)) z)
✓	55.8b	(/.f64 (sqrt.f64 (.f64 (exp.f64 -13) (.f64 45767980848377092942628957760201/325000000000000000000000000 (PI.f64)))) z)
	55.8b	(/.f64 (sqrt.f64 (exp.f64 (+.f64 -13 (log.f64 (*.f64 45767980848377092942628957760201/325000000000000000000000000 (PI.f64)))))) z)
	55.8b	(.f64 (/.f64 (sqrt.f64 45767980848377092942628957760201/325000000000000000000000000) z) (sqrt.f64 (.f64 (exp.f64 -13) (PI.f64))))
	55.8b	(.f64 (/.f64 1 z) (sqrt.f64 (.f64 (PI.f64) (*.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000))))
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	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 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))) (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.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 -13/2 z))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.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)))))
	3.9b	(.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 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 6765203681218851/10000000000000 z)) 2) (cbrt.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 (/.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)))))
	2.9b	(.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 (fma.f64 (sqrt.f64 (/.f64 6765203681218851/10000000000000 z)) (sqrt.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 (/.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 (fma.f64 6765203681218851/10000000000000 (/.f64 1 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 (/.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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✓	55.8b	(sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (/.f64 2/13 (.f64 z z))))
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	55.8b	(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64)))))
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Compiler

Compiled 10111 to 8414 computations (16.8% saved)

regimes1.3s (4.9%)

Counts

257 → 1

Calls

Call 1

Inputs
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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 (fma.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 2)) (+.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (+.f64 z 3) 2)) (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2)) (/.f64 -6811365493350374017225292011293/50000000000000000000000000 (.f64 (+.f64 z 2) (+.f64 z 3))))) (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z 1)) -9999999999998099/10000000000000000)) (+.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (+.f64 z 3) 3)) (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 3)))) (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z 1)) -9999999999998099/10000000000000000)) (+.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (+.f64 z 3) 2)) (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2)) (/.f64 -6811365493350374017225292011293/50000000000000000000000000 (*.f64 (+.f64 z 2) (+.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 (fma.f64 (+.f64 z 2) (.f64 (+.f64 z 3) (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.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 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 z 6765203681218851/10000000000000 6765203681218851/10000000000000)) (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 2) (/.f64 (+.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (+.f64 z 3)) (/.f64 6811365493350374017225292011293/50000000000000000000000000 (+.f64 z 2))) (+.f64 z 3))) (.f64 (fma.f64 z z z) (+.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (+.f64 z 3) 3)) (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 3)))) (.f64 (fma.f64 z z z) (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 2) (/.f64 (+.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (+.f64 z 3)) (/.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 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (+.f64 z 3) 2)) (+.f64 (/.f64 6811365493350374017225292011293/50000000000000000000000000 (.f64 (+.f64 z 3) (+.f64 z 2))) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2)))) (+.f64 (.f64 z -5826188486005177/10000000000000) 6765203681218851/10000000000000) (.f64 (+.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (+.f64 z 3) 3)) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z 2) 3))) (fma.f64 z z z))) (.f64 (+.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (+.f64 z 3) 2)) (+.f64 (/.f64 6811365493350374017225292011293/50000000000000000000000000 (*.f64 (+.f64 z 3) (+.f64 z 2))) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2)))) (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)) (.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 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (+.f64 z 3) 3)) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z 2) 3))) (+.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (.f64 (+.f64 z 1) z)))) (.f64 (+.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 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.f64 z 1) 3))))) (.f64 (+.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 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (.f64 (+.f64 z 1) 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 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (+.f64 z 3) 2)) (+.f64 (/.f64 6811365493350374017225292011293/50000000000000000000000000 (.f64 (+.f64 z 3) (+.f64 z 2))) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2)))) (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.f64 z 1) 3))) (.f64 (+.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (+.f64 z 3) 3)) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z 2) 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 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (+.f64 z 3) 2)) (+.f64 (/.f64 6811365493350374017225292011293/50000000000000000000000000 (.f64 (+.f64 z 3) (+.f64 z 2))) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 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)) (fma.f64 611458333333720910362579/25000000000000000000000 (/.f64 (exp.f64 (fma.f64 (neg.f64 (log.f64 (+.f64 z 13/2))) (-.f64 1/2 z) (-.f64 -13/2 z))) z) (fma.f64 4925021701373474946951247/25000000000000000000000 (/.f64 (exp.f64 (fma.f64 (neg.f64 (log.f64 (+.f64 z 13/2))) (-.f64 1/2 z) (-.f64 -13/2 z))) (.f64 z z)) (fma.f64 9999999999998099/10000000000000000 (exp.f64 (fma.f64 (neg.f64 (log.f64 (+.f64 z 13/2))) (-.f64 1/2 z) (-.f64 -13/2 z))) (.f64 10831820445529922198405471/25000000000000000000000 (/.f64 (exp.f64 (fma.f64 (neg.f64 (log.f64 (+.f64 z 13/2))) (-.f64 1/2 z) (-.f64 -13/2 z))) (pow.f64 z 3)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (fma.f64 611458333333720910362579/25000000000000000000000 (/.f64 (exp.f64 (fma.f64 (neg.f64 (log.f64 (+.f64 z 13/2))) (-.f64 1/2 z) (-.f64 -13/2 z))) z) (fma.f64 4925021701373474946951247/25000000000000000000000 (/.f64 (exp.f64 (fma.f64 (neg.f64 (log.f64 (+.f64 z 13/2))) (-.f64 1/2 z) (-.f64 -13/2 z))) (.f64 z z)) (fma.f64 9999999999998099/10000000000000000 (exp.f64 (fma.f64 (neg.f64 (log.f64 (+.f64 z 13/2))) (-.f64 1/2 z) (-.f64 -13/2 z))) (/.f64 (.f64 10831820445529922198405471/25000000000000000000000 (exp.f64 (fma.f64 (neg.f64 (log.f64 (+.f64 z 13/2))) (-.f64 1/2 z) (-.f64 -13/2 z)))) (pow.f64 z 3))))))

Outputs

(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (/.f64 (exp.f64 -13/2) (exp.f64 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (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)))))))

Calls

3 calls:

299.0ms

247.0ms

(-.f64 z 1)

189.0ms

(*.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))))

Results

Error	Segments	Branch
2.3b	1	`z`
2.3b	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))))
2.3b	1	`(-.f64 z 1)`

Compiler

Compiled 19232 to 15633 computations (18.7% saved)

regimes721.0ms (2.7%)

Counts

168 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (.f64 (exp.f64 -13) (.f64 45767980848377092942628957760201/325000000000000000000000000 (PI.f64)))) z)
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (exp.f64 -13) (/.f64 (PI.f64) (*.f64 z z)))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64)))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) z) (/.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 z (exp.f64 -13)))))
(sqrt.f64 (/.f64 (PI.f64) (*.f64 (/.f64 z (exp.f64 -13)) (/.f64 z 45767980848377092942628957760201/325000000000000000000000000))))
(sqrt.f64 (/.f64 (PI.f64) (/.f64 (.f64 z z) (.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000))))
(sqrt.f64 (/.f64 (.f64 (exp.f64 -13) (PI.f64)) (.f64 (*.f64 z z) 325000000000000000000000000/45767980848377092942628957760201)))
(.f64 (/.f64 1 z) (sqrt.f64 (.f64 (PI.f64) (*.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000))))
(sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (/.f64 2/13 (.f64 z z))))
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(.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)))))) (log.f64 (exp.f64 (/.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)) (expm1.f64 (log1p.f64 (exp.f64 (+.f64 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 z 2)) (/.f64 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (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)))))))

Calls

3 calls:

127.0ms

(-.f64 z 1)

112.0ms

85.0ms

(*.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))))

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 10399 to 8482 computations (18.4% saved)

regimes387.0ms (1.5%)

Counts

125 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (.f64 (exp.f64 -13) (.f64 45767980848377092942628957760201/325000000000000000000000000 (PI.f64)))) z)
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (exp.f64 -13) (/.f64 (PI.f64) (*.f64 z z)))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64)))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) z) (/.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 z (exp.f64 -13)))))
(sqrt.f64 (/.f64 (PI.f64) (*.f64 (/.f64 z (exp.f64 -13)) (/.f64 z 45767980848377092942628957760201/325000000000000000000000000))))
(sqrt.f64 (/.f64 (PI.f64) (/.f64 (.f64 z z) (.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000))))
(sqrt.f64 (/.f64 (.f64 (exp.f64 -13) (PI.f64)) (.f64 (*.f64 z z) 325000000000000000000000000/45767980848377092942628957760201)))
(.f64 (/.f64 1 z) (sqrt.f64 (.f64 (PI.f64) (*.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000))))
(sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (/.f64 2/13 (.f64 z z))))
(sqrt.f64 (/.f64 (PI.f64) (/.f64 (.f64 z z) (.f64 (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))))
(sqrt.f64 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) 2/13))))
(sqrt.f64 (/.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (/.f64 (.f64 (*.f64 z z) 13/2) (exp.f64 -13))))
(sqrt.f64 (/.f64 (.f64 (/.f64 (PI.f64) (/.f64 z (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) 2/13) z))
(sqrt.f64 (/.f64 (/.f64 2/13 z) (/.f64 z (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13))))))
(sqrt.f64 (/.f64 (/.f64 (PI.f64) (/.f64 z (.f64 (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) z))
(sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 (exp.f64 -13) (/.f64 2/13 (*.f64 z z))))))
(sqrt.f64 (.f64 (.f64 (.f64 2 (PI.f64)) 45767980848377092942628957760201/100000000000000000000000000) (.f64 (exp.f64 -13) (/.f64 2/13 (*.f64 z z)))))
(sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (.f64 (/.f64 -1 (*.f64 z z)) -2/13)))
(sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (.f64 (/.f64 1 z) (/.f64 2/13 z))))
(sqrt.f64 (/.f64 1 (/.f64 z (/.f64 (PI.f64) (/.f64 z (.f64 (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))))))
(sqrt.f64 (/.f64 (.f64 (/.f64 (PI.f64) (/.f64 z (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) 1) (/.f64 z 2/13)))
(.f64 (/.f64 (sqrt.f64 45767980848377092942628957760201/325000000000000000000000000) z) (sqrt.f64 (.f64 (exp.f64 -13) (PI.f64))))
(/.f64 (sqrt.f64 (exp.f64 (+.f64 -13 (log.f64 (*.f64 45767980848377092942628957760201/325000000000000000000000000 (PI.f64)))))) z)
(.f64 (/.f64 (sqrt.f64 2/13) z) (sqrt.f64 (.f64 (exp.f64 -13) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) (sqrt.f64 2/13)) z)
(.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 (/.f64 (sqrt.f64 2/13) z) (exp.f64 -13/2))))
(.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 6765203681218851/10000000000000 (/.f64 (/.f64 z (exp.f64 -13/2)) (sqrt.f64 2/13))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (.f64 6765203681218851/10000000000000 (.f64 (exp.f64 -13/2) (sqrt.f64 2/13))) z))
(/.f64 (sqrt.f64 (.f64 (exp.f64 -13) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000))) (sqrt.f64 (.f64 (.f64 z z) 13/2)))
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (exp.f64 -13/2)) (sqrt.f64 2/13)) z)
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 6765203681218851/10000000000000 (.f64 (*.f64 (/.f64 1 z) (sqrt.f64 2/13)) (exp.f64 -13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 (/.f64 (/.f64 z (sqrt.f64 2/13)) (exp.f64 -13/2)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 6765203681218851/10000000000000 (.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 -13/2) z)))) 1)
(.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 (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 -13/2 z)))))
(.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 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z))))
(.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 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 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.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)))))
(.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 9999999999998099/10000000000000000 (+.f64 (/.f64 4925021701373474946951247/25000000000000000000000 (.f64 z z)) (/.f64 611458333333720910362579/25000000000000000000000 z))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.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 6535800760028927/20000000000000 (+.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 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 943522900885677/5000000000000 z) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)))))))
(.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)) (exp.f64 (neg.f64 (+.f64 z 13/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (/.f64 153960904158449/625000000000 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)))))
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(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (/.f64 (exp.f64 -13/2) (exp.f64 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)))))))
(.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 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (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 (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 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)) (.f64 (exp.f64 z) (exp.f64 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)) (.f64 (exp.f64 z) (exp.f64 13/2)))))

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 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (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)))))))))

Calls

3 calls:

66.0ms

(*.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))))

63.0ms

(-.f64 z 1)

57.0ms

Results

Error	Segments	Branch
2.5b	1	`z`
2.5b	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))))
2.5b	1	`(-.f64 z 1)`

Compiler

Compiled 6766 to 5509 computations (18.6% saved)

regimes435.0ms (1.7%)

Counts

121 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (.f64 (exp.f64 -13) (.f64 45767980848377092942628957760201/325000000000000000000000000 (PI.f64)))) z)
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (exp.f64 -13) (/.f64 (PI.f64) (*.f64 z z)))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64)))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) z) (/.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 z (exp.f64 -13)))))
(sqrt.f64 (/.f64 (PI.f64) (*.f64 (/.f64 z (exp.f64 -13)) (/.f64 z 45767980848377092942628957760201/325000000000000000000000000))))
(sqrt.f64 (/.f64 (PI.f64) (/.f64 (.f64 z z) (.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000))))
(sqrt.f64 (/.f64 (.f64 (exp.f64 -13) (PI.f64)) (.f64 (*.f64 z z) 325000000000000000000000000/45767980848377092942628957760201)))
(.f64 (/.f64 1 z) (sqrt.f64 (.f64 (PI.f64) (*.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000))))
(sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (/.f64 2/13 (.f64 z z))))
(sqrt.f64 (/.f64 (PI.f64) (/.f64 (.f64 z z) (.f64 (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))))
(sqrt.f64 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) 2/13))))
(sqrt.f64 (/.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (/.f64 (.f64 (*.f64 z z) 13/2) (exp.f64 -13))))
(sqrt.f64 (/.f64 (.f64 (/.f64 (PI.f64) (/.f64 z (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) 2/13) z))
(sqrt.f64 (/.f64 (/.f64 2/13 z) (/.f64 z (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13))))))
(sqrt.f64 (/.f64 (/.f64 (PI.f64) (/.f64 z (.f64 (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) z))
(sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 (exp.f64 -13) (/.f64 2/13 (*.f64 z z))))))
(sqrt.f64 (.f64 (.f64 (.f64 2 (PI.f64)) 45767980848377092942628957760201/100000000000000000000000000) (.f64 (exp.f64 -13) (/.f64 2/13 (*.f64 z z)))))
(sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (.f64 (/.f64 -1 (*.f64 z z)) -2/13)))
(sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (.f64 (/.f64 1 z) (/.f64 2/13 z))))
(sqrt.f64 (/.f64 1 (/.f64 z (/.f64 (PI.f64) (/.f64 z (.f64 (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))))))
(sqrt.f64 (/.f64 (.f64 (/.f64 (PI.f64) (/.f64 z (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) 1) (/.f64 z 2/13)))
(.f64 (/.f64 (sqrt.f64 45767980848377092942628957760201/325000000000000000000000000) z) (sqrt.f64 (.f64 (exp.f64 -13) (PI.f64))))
(/.f64 (sqrt.f64 (exp.f64 (+.f64 -13 (log.f64 (*.f64 45767980848377092942628957760201/325000000000000000000000000 (PI.f64)))))) z)
(.f64 (/.f64 (sqrt.f64 2/13) z) (sqrt.f64 (.f64 (exp.f64 -13) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) (sqrt.f64 2/13)) z)
(.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 (/.f64 (sqrt.f64 2/13) z) (exp.f64 -13/2))))
(.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 6765203681218851/10000000000000 (/.f64 (/.f64 z (exp.f64 -13/2)) (sqrt.f64 2/13))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (.f64 6765203681218851/10000000000000 (.f64 (exp.f64 -13/2) (sqrt.f64 2/13))) z))
(/.f64 (sqrt.f64 (.f64 (exp.f64 -13) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000))) (sqrt.f64 (.f64 (.f64 z z) 13/2)))
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (exp.f64 -13/2)) (sqrt.f64 2/13)) z)
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 6765203681218851/10000000000000 (.f64 (*.f64 (/.f64 1 z) (sqrt.f64 2/13)) (exp.f64 -13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 (/.f64 (/.f64 z (sqrt.f64 2/13)) (exp.f64 -13/2)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 6765203681218851/10000000000000 (.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 -13/2) z)))) 1)
(.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 (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 -13/2 z)))))
(.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 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z))))
(.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 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 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.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)))))
(.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 9999999999998099/10000000000000000 (+.f64 (/.f64 4925021701373474946951247/25000000000000000000000 (.f64 z z)) (/.f64 611458333333720910362579/25000000000000000000000 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 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (.f64 (+.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 (/.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 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)))))) (-.f64 (+.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 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)))))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (.f64 (/.f64 6765203681218851/10000000000000 z) (/.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 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 (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 (exp.f64 -13/2) (exp.f64 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)))))))

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 (+.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))))))))

Calls

3 calls:

99.0ms

(*.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

(-.f64 z 1)

62.0ms

Results

Error	Segments	Branch
2.6b	1	`z`
2.6b	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))))
2.6b	1	`(-.f64 z 1)`

Compiler

Compiled 6502 to 5300 computations (18.5% saved)

regimes88.0ms (0.3%)

Counts

63 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (.f64 (exp.f64 -13) (.f64 45767980848377092942628957760201/325000000000000000000000000 (PI.f64)))) z)
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (exp.f64 -13) (/.f64 (PI.f64) (*.f64 z z)))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64)))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) z) (/.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 z (exp.f64 -13)))))
(sqrt.f64 (/.f64 (PI.f64) (*.f64 (/.f64 z (exp.f64 -13)) (/.f64 z 45767980848377092942628957760201/325000000000000000000000000))))
(sqrt.f64 (/.f64 (PI.f64) (/.f64 (.f64 z z) (.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000))))
(sqrt.f64 (/.f64 (.f64 (exp.f64 -13) (PI.f64)) (.f64 (*.f64 z z) 325000000000000000000000000/45767980848377092942628957760201)))
(.f64 (/.f64 1 z) (sqrt.f64 (.f64 (PI.f64) (*.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000))))
(sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (/.f64 2/13 (.f64 z z))))
(sqrt.f64 (/.f64 (PI.f64) (/.f64 (.f64 z z) (.f64 (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))))
(sqrt.f64 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) 2/13))))
(sqrt.f64 (/.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (/.f64 (.f64 (*.f64 z z) 13/2) (exp.f64 -13))))
(sqrt.f64 (/.f64 (.f64 (/.f64 (PI.f64) (/.f64 z (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) 2/13) z))
(sqrt.f64 (/.f64 (/.f64 2/13 z) (/.f64 z (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13))))))
(sqrt.f64 (/.f64 (/.f64 (PI.f64) (/.f64 z (.f64 (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) z))
(sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 (exp.f64 -13) (/.f64 2/13 (*.f64 z z))))))
(sqrt.f64 (.f64 (.f64 (.f64 2 (PI.f64)) 45767980848377092942628957760201/100000000000000000000000000) (.f64 (exp.f64 -13) (/.f64 2/13 (*.f64 z z)))))
(sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (.f64 (/.f64 -1 (*.f64 z z)) -2/13)))
(sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (.f64 (/.f64 1 z) (/.f64 2/13 z))))
(sqrt.f64 (/.f64 1 (/.f64 z (/.f64 (PI.f64) (/.f64 z (.f64 (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))))))
(sqrt.f64 (/.f64 (.f64 (/.f64 (PI.f64) (/.f64 z (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) 1) (/.f64 z 2/13)))
(.f64 (/.f64 (sqrt.f64 45767980848377092942628957760201/325000000000000000000000000) z) (sqrt.f64 (.f64 (exp.f64 -13) (PI.f64))))
(/.f64 (sqrt.f64 (exp.f64 (+.f64 -13 (log.f64 (*.f64 45767980848377092942628957760201/325000000000000000000000000 (PI.f64)))))) z)
(.f64 (/.f64 (sqrt.f64 2/13) z) (sqrt.f64 (.f64 (exp.f64 -13) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) (sqrt.f64 2/13)) z)
(.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 (/.f64 (sqrt.f64 2/13) z) (exp.f64 -13/2))))
(.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 6765203681218851/10000000000000 (/.f64 (/.f64 z (exp.f64 -13/2)) (sqrt.f64 2/13))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (.f64 6765203681218851/10000000000000 (.f64 (exp.f64 -13/2) (sqrt.f64 2/13))) z))
(/.f64 (sqrt.f64 (.f64 (exp.f64 -13) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000))) (sqrt.f64 (.f64 (.f64 z z) 13/2)))
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (exp.f64 -13/2)) (sqrt.f64 2/13)) z)
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 6765203681218851/10000000000000 (.f64 (*.f64 (/.f64 1 z) (sqrt.f64 2/13)) (exp.f64 -13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 (/.f64 (/.f64 z (sqrt.f64 2/13)) (exp.f64 -13/2)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 6765203681218851/10000000000000 (.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 -13/2) z)))) 1)
(.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 (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 -13/2 z)))))
(.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 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z))))
(.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 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 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.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)))))
(.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 9999999999998099/10000000000000000 (+.f64 (/.f64 4925021701373474946951247/25000000000000000000000 (.f64 z z)) (/.f64 611458333333720910362579/25000000000000000000000 z))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.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 6535800760028927/20000000000000 (+.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 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 943522900885677/5000000000000 z) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)))))))
(.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)) (exp.f64 (neg.f64 (+.f64 z 13/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (/.f64 153960904158449/625000000000 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 (+.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 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 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)))))))
(.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 6765203681218851/10000000000000 z) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))))))))
(.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 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))))))
(.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 2496092394504893/250000000000000000000 (+.f64 z 6)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)))))))))

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 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 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)))))))

Calls

1 calls:

44.0ms

Results

Error	Segments	Branch
2.6b	1	`z`

Compiler

Compiled 1468 to 1161 computations (20.9% saved)

regimes72.0ms (0.3%)

Counts

59 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (.f64 (exp.f64 -13) (.f64 45767980848377092942628957760201/325000000000000000000000000 (PI.f64)))) z)
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (exp.f64 -13) (/.f64 (PI.f64) (*.f64 z z)))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64)))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) z) (/.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 z (exp.f64 -13)))))
(sqrt.f64 (/.f64 (PI.f64) (*.f64 (/.f64 z (exp.f64 -13)) (/.f64 z 45767980848377092942628957760201/325000000000000000000000000))))
(sqrt.f64 (/.f64 (PI.f64) (/.f64 (.f64 z z) (.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000))))
(sqrt.f64 (/.f64 (.f64 (exp.f64 -13) (PI.f64)) (.f64 (*.f64 z z) 325000000000000000000000000/45767980848377092942628957760201)))
(.f64 (/.f64 1 z) (sqrt.f64 (.f64 (PI.f64) (*.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000))))
(sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (/.f64 2/13 (.f64 z z))))
(sqrt.f64 (/.f64 (PI.f64) (/.f64 (.f64 z z) (.f64 (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))))
(sqrt.f64 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) 2/13))))
(sqrt.f64 (/.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (/.f64 (.f64 (*.f64 z z) 13/2) (exp.f64 -13))))
(sqrt.f64 (/.f64 (.f64 (/.f64 (PI.f64) (/.f64 z (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) 2/13) z))
(sqrt.f64 (/.f64 (/.f64 2/13 z) (/.f64 z (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13))))))
(sqrt.f64 (/.f64 (/.f64 (PI.f64) (/.f64 z (.f64 (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) z))
(sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 (exp.f64 -13) (/.f64 2/13 (*.f64 z z))))))
(sqrt.f64 (.f64 (.f64 (.f64 2 (PI.f64)) 45767980848377092942628957760201/100000000000000000000000000) (.f64 (exp.f64 -13) (/.f64 2/13 (*.f64 z z)))))
(sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (.f64 (/.f64 -1 (*.f64 z z)) -2/13)))
(sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (.f64 (/.f64 1 z) (/.f64 2/13 z))))
(sqrt.f64 (/.f64 1 (/.f64 z (/.f64 (PI.f64) (/.f64 z (.f64 (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))))))
(sqrt.f64 (/.f64 (.f64 (/.f64 (PI.f64) (/.f64 z (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) 1) (/.f64 z 2/13)))
(.f64 (/.f64 (sqrt.f64 45767980848377092942628957760201/325000000000000000000000000) z) (sqrt.f64 (.f64 (exp.f64 -13) (PI.f64))))
(/.f64 (sqrt.f64 (exp.f64 (+.f64 -13 (log.f64 (*.f64 45767980848377092942628957760201/325000000000000000000000000 (PI.f64)))))) z)
(.f64 (/.f64 (sqrt.f64 2/13) z) (sqrt.f64 (.f64 (exp.f64 -13) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) (sqrt.f64 2/13)) z)
(.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 (/.f64 (sqrt.f64 2/13) z) (exp.f64 -13/2))))
(.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 6765203681218851/10000000000000 (/.f64 (/.f64 z (exp.f64 -13/2)) (sqrt.f64 2/13))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (.f64 6765203681218851/10000000000000 (.f64 (exp.f64 -13/2) (sqrt.f64 2/13))) z))
(/.f64 (sqrt.f64 (.f64 (exp.f64 -13) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000))) (sqrt.f64 (.f64 (.f64 z z) 13/2)))
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (exp.f64 -13/2)) (sqrt.f64 2/13)) z)
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 6765203681218851/10000000000000 (.f64 (*.f64 (/.f64 1 z) (sqrt.f64 2/13)) (exp.f64 -13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 (/.f64 (/.f64 z (sqrt.f64 2/13)) (exp.f64 -13/2)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 6765203681218851/10000000000000 (.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 -13/2) z)))) 1)
(.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 (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 -13/2 z)))))
(.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 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z))))
(.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 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 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.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)))))
(.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 9999999999998099/10000000000000000 (+.f64 (/.f64 4925021701373474946951247/25000000000000000000000 (.f64 z z)) (/.f64 611458333333720910362579/25000000000000000000000 z))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.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 6535800760028927/20000000000000 (+.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 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 943522900885677/5000000000000 z) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)))))))
(.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)) (exp.f64 (neg.f64 (+.f64 z 13/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (/.f64 153960904158449/625000000000 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 (+.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 (*.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)))))

Calls

1 calls:

35.0ms

Results

Error	Segments	Branch
46.3b	1	`z`

Compiler

Compiled 1208 to 949 computations (21.4% saved)

regimes68.0ms (0.3%)

Counts

58 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (.f64 (exp.f64 -13) (.f64 45767980848377092942628957760201/325000000000000000000000000 (PI.f64)))) z)
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (exp.f64 -13) (/.f64 (PI.f64) (*.f64 z z)))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64)))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) z) (/.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 z (exp.f64 -13)))))
(sqrt.f64 (/.f64 (PI.f64) (*.f64 (/.f64 z (exp.f64 -13)) (/.f64 z 45767980848377092942628957760201/325000000000000000000000000))))
(sqrt.f64 (/.f64 (PI.f64) (/.f64 (.f64 z z) (.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000))))
(sqrt.f64 (/.f64 (.f64 (exp.f64 -13) (PI.f64)) (.f64 (*.f64 z z) 325000000000000000000000000/45767980848377092942628957760201)))
(.f64 (/.f64 1 z) (sqrt.f64 (.f64 (PI.f64) (*.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000))))
(sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (/.f64 2/13 (.f64 z z))))
(sqrt.f64 (/.f64 (PI.f64) (/.f64 (.f64 z z) (.f64 (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))))
(sqrt.f64 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) 2/13))))
(sqrt.f64 (/.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (/.f64 (.f64 (*.f64 z z) 13/2) (exp.f64 -13))))
(sqrt.f64 (/.f64 (.f64 (/.f64 (PI.f64) (/.f64 z (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) 2/13) z))
(sqrt.f64 (/.f64 (/.f64 2/13 z) (/.f64 z (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13))))))
(sqrt.f64 (/.f64 (/.f64 (PI.f64) (/.f64 z (.f64 (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) z))
(sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 (exp.f64 -13) (/.f64 2/13 (*.f64 z z))))))
(sqrt.f64 (.f64 (.f64 (.f64 2 (PI.f64)) 45767980848377092942628957760201/100000000000000000000000000) (.f64 (exp.f64 -13) (/.f64 2/13 (*.f64 z z)))))
(sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (.f64 (/.f64 -1 (*.f64 z z)) -2/13)))
(sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (.f64 (/.f64 1 z) (/.f64 2/13 z))))
(sqrt.f64 (/.f64 1 (/.f64 z (/.f64 (PI.f64) (/.f64 z (.f64 (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))))))
(sqrt.f64 (/.f64 (.f64 (/.f64 (PI.f64) (/.f64 z (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) 1) (/.f64 z 2/13)))
(.f64 (/.f64 (sqrt.f64 45767980848377092942628957760201/325000000000000000000000000) z) (sqrt.f64 (.f64 (exp.f64 -13) (PI.f64))))
(/.f64 (sqrt.f64 (exp.f64 (+.f64 -13 (log.f64 (*.f64 45767980848377092942628957760201/325000000000000000000000000 (PI.f64)))))) z)
(.f64 (/.f64 (sqrt.f64 2/13) z) (sqrt.f64 (.f64 (exp.f64 -13) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) (sqrt.f64 2/13)) z)
(.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 (/.f64 (sqrt.f64 2/13) z) (exp.f64 -13/2))))
(.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 6765203681218851/10000000000000 (/.f64 (/.f64 z (exp.f64 -13/2)) (sqrt.f64 2/13))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (.f64 6765203681218851/10000000000000 (.f64 (exp.f64 -13/2) (sqrt.f64 2/13))) z))
(/.f64 (sqrt.f64 (.f64 (exp.f64 -13) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000))) (sqrt.f64 (.f64 (.f64 z z) 13/2)))
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (exp.f64 -13/2)) (sqrt.f64 2/13)) z)
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 6765203681218851/10000000000000 (.f64 (*.f64 (/.f64 1 z) (sqrt.f64 2/13)) (exp.f64 -13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 (/.f64 (/.f64 z (sqrt.f64 2/13)) (exp.f64 -13/2)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 6765203681218851/10000000000000 (.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 -13/2) z)))) 1)
(.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 (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 -13/2 z)))))
(.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 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z))))
(.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 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 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.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)))))
(.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 9999999999998099/10000000000000000 (+.f64 (/.f64 4925021701373474946951247/25000000000000000000000 (.f64 z z)) (/.f64 611458333333720910362579/25000000000000000000000 z))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.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 6535800760028927/20000000000000 (+.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 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 943522900885677/5000000000000 z) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)))))))
(.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)) (exp.f64 (neg.f64 (+.f64 z 13/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (/.f64 153960904158449/625000000000 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)))))

Outputs

(*.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)))))

Calls

1 calls:

34.0ms

Results

Error	Segments	Branch
46.3b	1	`z`

Compiler

Compiled 1150 to 903 computations (21.5% saved)

regimes65.0ms (0.2%)

Counts

57 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (.f64 (exp.f64 -13) (.f64 45767980848377092942628957760201/325000000000000000000000000 (PI.f64)))) z)
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (exp.f64 -13) (/.f64 (PI.f64) (*.f64 z z)))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64)))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) z) (/.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 z (exp.f64 -13)))))
(sqrt.f64 (/.f64 (PI.f64) (*.f64 (/.f64 z (exp.f64 -13)) (/.f64 z 45767980848377092942628957760201/325000000000000000000000000))))
(sqrt.f64 (/.f64 (PI.f64) (/.f64 (.f64 z z) (.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000))))
(sqrt.f64 (/.f64 (.f64 (exp.f64 -13) (PI.f64)) (.f64 (*.f64 z z) 325000000000000000000000000/45767980848377092942628957760201)))
(.f64 (/.f64 1 z) (sqrt.f64 (.f64 (PI.f64) (*.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000))))
(sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (/.f64 2/13 (.f64 z z))))
(sqrt.f64 (/.f64 (PI.f64) (/.f64 (.f64 z z) (.f64 (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))))
(sqrt.f64 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) 2/13))))
(sqrt.f64 (/.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (/.f64 (.f64 (*.f64 z z) 13/2) (exp.f64 -13))))
(sqrt.f64 (/.f64 (.f64 (/.f64 (PI.f64) (/.f64 z (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) 2/13) z))
(sqrt.f64 (/.f64 (/.f64 2/13 z) (/.f64 z (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13))))))
(sqrt.f64 (/.f64 (/.f64 (PI.f64) (/.f64 z (.f64 (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) z))
(sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 (exp.f64 -13) (/.f64 2/13 (*.f64 z z))))))
(sqrt.f64 (.f64 (.f64 (.f64 2 (PI.f64)) 45767980848377092942628957760201/100000000000000000000000000) (.f64 (exp.f64 -13) (/.f64 2/13 (*.f64 z z)))))
(sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (.f64 (/.f64 -1 (*.f64 z z)) -2/13)))
(sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (.f64 (/.f64 1 z) (/.f64 2/13 z))))
(sqrt.f64 (/.f64 1 (/.f64 z (/.f64 (PI.f64) (/.f64 z (.f64 (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))))))
(sqrt.f64 (/.f64 (.f64 (/.f64 (PI.f64) (/.f64 z (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) 1) (/.f64 z 2/13)))
(.f64 (/.f64 (sqrt.f64 45767980848377092942628957760201/325000000000000000000000000) z) (sqrt.f64 (.f64 (exp.f64 -13) (PI.f64))))
(/.f64 (sqrt.f64 (exp.f64 (+.f64 -13 (log.f64 (*.f64 45767980848377092942628957760201/325000000000000000000000000 (PI.f64)))))) z)
(.f64 (/.f64 (sqrt.f64 2/13) z) (sqrt.f64 (.f64 (exp.f64 -13) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) (sqrt.f64 2/13)) z)
(.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 (/.f64 (sqrt.f64 2/13) z) (exp.f64 -13/2))))
(.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 6765203681218851/10000000000000 (/.f64 (/.f64 z (exp.f64 -13/2)) (sqrt.f64 2/13))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (.f64 6765203681218851/10000000000000 (.f64 (exp.f64 -13/2) (sqrt.f64 2/13))) z))
(/.f64 (sqrt.f64 (.f64 (exp.f64 -13) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000))) (sqrt.f64 (.f64 (.f64 z z) 13/2)))
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (exp.f64 -13/2)) (sqrt.f64 2/13)) z)
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 6765203681218851/10000000000000 (.f64 (*.f64 (/.f64 1 z) (sqrt.f64 2/13)) (exp.f64 -13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 (/.f64 (/.f64 z (sqrt.f64 2/13)) (exp.f64 -13/2)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 6765203681218851/10000000000000 (.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 -13/2) z)))) 1)
(.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 (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 -13/2 z)))))
(.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 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z))))
(.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 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 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.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)))))
(.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 9999999999998099/10000000000000000 (+.f64 (/.f64 4925021701373474946951247/25000000000000000000000 (.f64 z z)) (/.f64 611458333333720910362579/25000000000000000000000 z))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.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 6535800760028927/20000000000000 (+.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 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 943522900885677/5000000000000 z) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)))))))
(.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)) (exp.f64 (neg.f64 (+.f64 z 13/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (/.f64 153960904158449/625000000000 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 (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)))))))

Calls

1 calls:

34.0ms

Results

Error	Segments	Branch
46.3b	1	`z`

Compiler

Compiled 1092 to 857 computations (21.5% saved)

regimes78.0ms (0.3%)

Counts

55 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (.f64 (exp.f64 -13) (.f64 45767980848377092942628957760201/325000000000000000000000000 (PI.f64)))) z)
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (exp.f64 -13) (/.f64 (PI.f64) (*.f64 z z)))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64)))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) z) (/.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 z (exp.f64 -13)))))
(sqrt.f64 (/.f64 (PI.f64) (*.f64 (/.f64 z (exp.f64 -13)) (/.f64 z 45767980848377092942628957760201/325000000000000000000000000))))
(sqrt.f64 (/.f64 (PI.f64) (/.f64 (.f64 z z) (.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000))))
(sqrt.f64 (/.f64 (.f64 (exp.f64 -13) (PI.f64)) (.f64 (*.f64 z z) 325000000000000000000000000/45767980848377092942628957760201)))
(.f64 (/.f64 1 z) (sqrt.f64 (.f64 (PI.f64) (*.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000))))
(sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (/.f64 2/13 (.f64 z z))))
(sqrt.f64 (/.f64 (PI.f64) (/.f64 (.f64 z z) (.f64 (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))))
(sqrt.f64 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) 2/13))))
(sqrt.f64 (/.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (/.f64 (.f64 (*.f64 z z) 13/2) (exp.f64 -13))))
(sqrt.f64 (/.f64 (.f64 (/.f64 (PI.f64) (/.f64 z (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) 2/13) z))
(sqrt.f64 (/.f64 (/.f64 2/13 z) (/.f64 z (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13))))))
(sqrt.f64 (/.f64 (/.f64 (PI.f64) (/.f64 z (.f64 (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) z))
(sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 (exp.f64 -13) (/.f64 2/13 (*.f64 z z))))))
(sqrt.f64 (.f64 (.f64 (.f64 2 (PI.f64)) 45767980848377092942628957760201/100000000000000000000000000) (.f64 (exp.f64 -13) (/.f64 2/13 (*.f64 z z)))))
(sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (.f64 (/.f64 -1 (*.f64 z z)) -2/13)))
(sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (.f64 (/.f64 1 z) (/.f64 2/13 z))))
(sqrt.f64 (/.f64 1 (/.f64 z (/.f64 (PI.f64) (/.f64 z (.f64 (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))))))
(sqrt.f64 (/.f64 (.f64 (/.f64 (PI.f64) (/.f64 z (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) 1) (/.f64 z 2/13)))
(.f64 (/.f64 (sqrt.f64 45767980848377092942628957760201/325000000000000000000000000) z) (sqrt.f64 (.f64 (exp.f64 -13) (PI.f64))))
(/.f64 (sqrt.f64 (exp.f64 (+.f64 -13 (log.f64 (*.f64 45767980848377092942628957760201/325000000000000000000000000 (PI.f64)))))) z)
(.f64 (/.f64 (sqrt.f64 2/13) z) (sqrt.f64 (.f64 (exp.f64 -13) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) (sqrt.f64 2/13)) z)
(.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 (/.f64 (sqrt.f64 2/13) z) (exp.f64 -13/2))))
(.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 6765203681218851/10000000000000 (/.f64 (/.f64 z (exp.f64 -13/2)) (sqrt.f64 2/13))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (.f64 6765203681218851/10000000000000 (.f64 (exp.f64 -13/2) (sqrt.f64 2/13))) z))
(/.f64 (sqrt.f64 (.f64 (exp.f64 -13) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000))) (sqrt.f64 (.f64 (.f64 z z) 13/2)))
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (exp.f64 -13/2)) (sqrt.f64 2/13)) z)
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 6765203681218851/10000000000000 (.f64 (*.f64 (/.f64 1 z) (sqrt.f64 2/13)) (exp.f64 -13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 (/.f64 (/.f64 z (sqrt.f64 2/13)) (exp.f64 -13/2)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 6765203681218851/10000000000000 (.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 -13/2) z)))) 1)
(.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 (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 -13/2 z)))))
(.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 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z))))
(.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 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 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.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)))))
(.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 9999999999998099/10000000000000000 (+.f64 (/.f64 4925021701373474946951247/25000000000000000000000 (.f64 z z)) (/.f64 611458333333720910362579/25000000000000000000000 z))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.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 6535800760028927/20000000000000 (+.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 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 943522900885677/5000000000000 z) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)))))))
(.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)))))))

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 4925021701373474946951247/25000000000000000000000 (*.f64 z z)) (/.f64 611458333333720910362579/25000000000000000000000 z)))))

Calls

1 calls:

47.0ms

Results

Error	Segments	Branch
47.0b	1	`z`

Compiler

Compiled 984 to 772 computations (21.5% saved)

regimes50.0ms (0.2%)

Counts

48 → 1

Calls

Call 1

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

(*.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 611458333333720910362579/25000000000000000000000 z))))

Calls

1 calls:

28.0ms

Results

Error	Segments	Branch
51.0b	1	`z`

Compiler

Compiled 714 to 561 computations (21.4% saved)

regimes65.0ms (0.2%)

Counts

45 → 2

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (.f64 (exp.f64 -13) (.f64 45767980848377092942628957760201/325000000000000000000000000 (PI.f64)))) z)
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (exp.f64 -13) (/.f64 (PI.f64) (*.f64 z z)))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64)))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) z) (/.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 z (exp.f64 -13)))))
(sqrt.f64 (/.f64 (PI.f64) (*.f64 (/.f64 z (exp.f64 -13)) (/.f64 z 45767980848377092942628957760201/325000000000000000000000000))))
(sqrt.f64 (/.f64 (PI.f64) (/.f64 (.f64 z z) (.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000))))
(sqrt.f64 (/.f64 (.f64 (exp.f64 -13) (PI.f64)) (.f64 (*.f64 z z) 325000000000000000000000000/45767980848377092942628957760201)))
(.f64 (/.f64 1 z) (sqrt.f64 (.f64 (PI.f64) (*.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000))))
(sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (/.f64 2/13 (.f64 z z))))
(sqrt.f64 (/.f64 (PI.f64) (/.f64 (.f64 z z) (.f64 (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))))
(sqrt.f64 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) 2/13))))
(sqrt.f64 (/.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (/.f64 (.f64 (*.f64 z z) 13/2) (exp.f64 -13))))
(sqrt.f64 (/.f64 (.f64 (/.f64 (PI.f64) (/.f64 z (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) 2/13) z))
(sqrt.f64 (/.f64 (/.f64 2/13 z) (/.f64 z (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13))))))
(sqrt.f64 (/.f64 (/.f64 (PI.f64) (/.f64 z (.f64 (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) z))
(sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 (exp.f64 -13) (/.f64 2/13 (*.f64 z z))))))
(sqrt.f64 (.f64 (.f64 (.f64 2 (PI.f64)) 45767980848377092942628957760201/100000000000000000000000000) (.f64 (exp.f64 -13) (/.f64 2/13 (*.f64 z z)))))
(sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (.f64 (/.f64 -1 (*.f64 z z)) -2/13)))
(sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (.f64 (/.f64 1 z) (/.f64 2/13 z))))
(sqrt.f64 (/.f64 1 (/.f64 z (/.f64 (PI.f64) (/.f64 z (.f64 (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))))))
(sqrt.f64 (/.f64 (.f64 (/.f64 (PI.f64) (/.f64 z (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) 1) (/.f64 z 2/13)))
(.f64 (/.f64 (sqrt.f64 45767980848377092942628957760201/325000000000000000000000000) z) (sqrt.f64 (.f64 (exp.f64 -13) (PI.f64))))
(/.f64 (sqrt.f64 (exp.f64 (+.f64 -13 (log.f64 (*.f64 45767980848377092942628957760201/325000000000000000000000000 (PI.f64)))))) z)
(.f64 (/.f64 (sqrt.f64 2/13) z) (sqrt.f64 (.f64 (exp.f64 -13) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) (sqrt.f64 2/13)) z)
(.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 (/.f64 (sqrt.f64 2/13) z) (exp.f64 -13/2))))
(.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 6765203681218851/10000000000000 (/.f64 (/.f64 z (exp.f64 -13/2)) (sqrt.f64 2/13))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (.f64 6765203681218851/10000000000000 (.f64 (exp.f64 -13/2) (sqrt.f64 2/13))) z))
(/.f64 (sqrt.f64 (.f64 (exp.f64 -13) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000))) (sqrt.f64 (.f64 (.f64 z z) 13/2)))
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (exp.f64 -13/2)) (sqrt.f64 2/13)) z)
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 6765203681218851/10000000000000 (.f64 (*.f64 (/.f64 1 z) (sqrt.f64 2/13)) (exp.f64 -13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 (/.f64 (/.f64 z (sqrt.f64 2/13)) (exp.f64 -13/2)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 6765203681218851/10000000000000 (.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 -13/2) z)))) 1)
(.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 (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 -13/2 z)))))
(.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

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

(*.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:

40.0ms

Results

Error	Segments	Branch
51.7b	2	`z`

Compiler

Compiled 643 to 505 computations (21.5% saved)

bsearch1.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	3.9435112808625887	4.072295582082474

Compiler

Compiled 99 to 87 computations (12.1% saved)

regimes59.0ms (0.2%)

Counts

43 → 2

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (.f64 (exp.f64 -13) (.f64 45767980848377092942628957760201/325000000000000000000000000 (PI.f64)))) z)
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (exp.f64 -13) (/.f64 (PI.f64) (*.f64 z z)))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64)))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) z) (/.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 z (exp.f64 -13)))))
(sqrt.f64 (/.f64 (PI.f64) (*.f64 (/.f64 z (exp.f64 -13)) (/.f64 z 45767980848377092942628957760201/325000000000000000000000000))))
(sqrt.f64 (/.f64 (PI.f64) (/.f64 (.f64 z z) (.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000))))
(sqrt.f64 (/.f64 (.f64 (exp.f64 -13) (PI.f64)) (.f64 (*.f64 z z) 325000000000000000000000000/45767980848377092942628957760201)))
(.f64 (/.f64 1 z) (sqrt.f64 (.f64 (PI.f64) (*.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000))))
(sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (/.f64 2/13 (.f64 z z))))
(sqrt.f64 (/.f64 (PI.f64) (/.f64 (.f64 z z) (.f64 (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))))
(sqrt.f64 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) 2/13))))
(sqrt.f64 (/.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (/.f64 (.f64 (*.f64 z z) 13/2) (exp.f64 -13))))
(sqrt.f64 (/.f64 (.f64 (/.f64 (PI.f64) (/.f64 z (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) 2/13) z))
(sqrt.f64 (/.f64 (/.f64 2/13 z) (/.f64 z (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13))))))
(sqrt.f64 (/.f64 (/.f64 (PI.f64) (/.f64 z (.f64 (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) z))
(sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 (exp.f64 -13) (/.f64 2/13 (*.f64 z z))))))
(sqrt.f64 (.f64 (.f64 (.f64 2 (PI.f64)) 45767980848377092942628957760201/100000000000000000000000000) (.f64 (exp.f64 -13) (/.f64 2/13 (*.f64 z z)))))
(sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (.f64 (/.f64 -1 (*.f64 z z)) -2/13)))
(sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (.f64 (/.f64 1 z) (/.f64 2/13 z))))
(sqrt.f64 (/.f64 1 (/.f64 z (/.f64 (PI.f64) (/.f64 z (.f64 (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))))))
(sqrt.f64 (/.f64 (.f64 (/.f64 (PI.f64) (/.f64 z (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) 1) (/.f64 z 2/13)))
(.f64 (/.f64 (sqrt.f64 45767980848377092942628957760201/325000000000000000000000000) z) (sqrt.f64 (.f64 (exp.f64 -13) (PI.f64))))
(/.f64 (sqrt.f64 (exp.f64 (+.f64 -13 (log.f64 (*.f64 45767980848377092942628957760201/325000000000000000000000000 (PI.f64)))))) z)
(.f64 (/.f64 (sqrt.f64 2/13) z) (sqrt.f64 (.f64 (exp.f64 -13) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) (sqrt.f64 2/13)) z)
(.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 (/.f64 (sqrt.f64 2/13) z) (exp.f64 -13/2))))
(.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 6765203681218851/10000000000000 (/.f64 (/.f64 z (exp.f64 -13/2)) (sqrt.f64 2/13))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (.f64 6765203681218851/10000000000000 (.f64 (exp.f64 -13/2) (sqrt.f64 2/13))) z))
(/.f64 (sqrt.f64 (.f64 (exp.f64 -13) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000))) (sqrt.f64 (.f64 (.f64 z z) 13/2)))
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (exp.f64 -13/2)) (sqrt.f64 2/13)) z)
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 6765203681218851/10000000000000 (.f64 (*.f64 (/.f64 1 z) (sqrt.f64 2/13)) (exp.f64 -13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 (/.f64 (/.f64 z (sqrt.f64 2/13)) (exp.f64 -13/2)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 6765203681218851/10000000000000 (.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 -13/2) z)))) 1)
(.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 (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 -13/2 z)))))
(.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

(/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (exp.f64 -13/2)) (sqrt.f64 2/13)) 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 z -1/2)))))

Calls

1 calls:

37.0ms

Results

Error	Segments	Branch
51.8b	2	`z`

Compiler

Compiled 602 to 473 computations (21.4% saved)

bsearch1.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	3.9435112808625887	4.072295582082474

Compiler

Compiled 99 to 87 computations (12.1% saved)

regimes32.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

37 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (.f64 (exp.f64 -13) (.f64 45767980848377092942628957760201/325000000000000000000000000 (PI.f64)))) z)
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (.f64 (exp.f64 -13) (/.f64 (PI.f64) (*.f64 z z)))))
(sqrt.f64 (.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (PI.f64)))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) z) (/.f64 45767980848377092942628957760201/325000000000000000000000000 (/.f64 z (exp.f64 -13)))))
(sqrt.f64 (/.f64 (PI.f64) (*.f64 (/.f64 z (exp.f64 -13)) (/.f64 z 45767980848377092942628957760201/325000000000000000000000000))))
(sqrt.f64 (/.f64 (PI.f64) (/.f64 (.f64 z z) (.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000))))
(sqrt.f64 (/.f64 (.f64 (exp.f64 -13) (PI.f64)) (.f64 (*.f64 z z) 325000000000000000000000000/45767980848377092942628957760201)))
(.f64 (/.f64 1 z) (sqrt.f64 (.f64 (PI.f64) (*.f64 (exp.f64 -13) 45767980848377092942628957760201/325000000000000000000000000))))
(sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (/.f64 2/13 (.f64 z z))))
(sqrt.f64 (/.f64 (PI.f64) (/.f64 (.f64 z z) (.f64 (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))))
(sqrt.f64 (/.f64 (exp.f64 -13) (/.f64 (.f64 z z) (.f64 (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) 2/13))))
(sqrt.f64 (/.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (/.f64 (.f64 (*.f64 z z) 13/2) (exp.f64 -13))))
(sqrt.f64 (/.f64 (.f64 (/.f64 (PI.f64) (/.f64 z (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) 2/13) z))
(sqrt.f64 (/.f64 (/.f64 2/13 z) (/.f64 z (.f64 (PI.f64) (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13))))))
(sqrt.f64 (/.f64 (/.f64 (PI.f64) (/.f64 z (.f64 (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))) z))
(sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 (exp.f64 -13) (/.f64 2/13 (*.f64 z z))))))
(sqrt.f64 (.f64 (.f64 (.f64 2 (PI.f64)) 45767980848377092942628957760201/100000000000000000000000000) (.f64 (exp.f64 -13) (/.f64 2/13 (*.f64 z z)))))
(sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (.f64 (/.f64 -1 (*.f64 z z)) -2/13)))
(sqrt.f64 (.f64 (.f64 (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000) (exp.f64 -13)) (.f64 (/.f64 1 z) (/.f64 2/13 z))))
(sqrt.f64 (/.f64 1 (/.f64 z (/.f64 (PI.f64) (/.f64 z (.f64 (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)) 2/13))))))
(sqrt.f64 (/.f64 (.f64 (/.f64 (PI.f64) (/.f64 z (.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) 1) (/.f64 z 2/13)))
(.f64 (/.f64 (sqrt.f64 45767980848377092942628957760201/325000000000000000000000000) z) (sqrt.f64 (.f64 (exp.f64 -13) (PI.f64))))
(/.f64 (sqrt.f64 (exp.f64 (+.f64 -13 (log.f64 (*.f64 45767980848377092942628957760201/325000000000000000000000000 (PI.f64)))))) z)
(.f64 (/.f64 (sqrt.f64 2/13) z) (sqrt.f64 (.f64 (exp.f64 -13) (*.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (*.f64 45767980848377092942628957760201/50000000000000000000000000 (exp.f64 -13)))) (sqrt.f64 2/13)) z)
(.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 (/.f64 (sqrt.f64 2/13) z) (exp.f64 -13/2))))
(.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 6765203681218851/10000000000000 (/.f64 (/.f64 z (exp.f64 -13/2)) (sqrt.f64 2/13))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (.f64 6765203681218851/10000000000000 (.f64 (exp.f64 -13/2) (sqrt.f64 2/13))) z))
(/.f64 (sqrt.f64 (.f64 (exp.f64 -13) (.f64 (PI.f64) 45767980848377092942628957760201/50000000000000000000000000))) (sqrt.f64 (.f64 (.f64 z z) 13/2)))
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (exp.f64 -13/2)) (sqrt.f64 2/13)) z)
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 6765203681218851/10000000000000 (.f64 (*.f64 (/.f64 1 z) (sqrt.f64 2/13)) (exp.f64 -13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 (/.f64 (/.f64 z (sqrt.f64 2/13)) (exp.f64 -13/2)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 6765203681218851/10000000000000 (.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 -13/2) z)))) 1)

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

Calls

1 calls:

19.0ms

Results

Error	Segments	Branch
55.8b	1	`z`

Compiler

Compiled 488 to 383 computations (21.5% saved)

simplify69.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

138×	`+-commutative`
108×	`*-commutative`
28×	`unsub-neg`
28×	`sub-neg`
26×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	183	1933
1	302	1921
2	325	1921
3	344	1921
4	363	1921
5	388	1921
6	400	1921
7	413	1921
8	423	1921
9	427	1921

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 (/.f64 (exp.f64 -13/2) (exp.f64 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (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 (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 z 2)) (/.f64 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (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 (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 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (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 (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 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)))))))
(.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 (.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 (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 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 4925021701373474946951247/25000000000000000000000 (*.f64 z z)) (/.f64 611458333333720910362579/25000000000000000000000 z)))))
(.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 611458333333720910362579/25000000000000000000000 z))))
(if (<=.f64 z 4) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (exp.f64 -13/2)) (sqrt.f64 2/13)) z) (.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 4) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (exp.f64 -13/2)) (sqrt.f64 2/13)) 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 z -1/2))))))
(/.f64 (sqrt.f64 (.f64 (exp.f64 -13) (.f64 45767980848377092942628957760201/325000000000000000000000000 (PI.f64)))) z)

Outputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (/.f64 (exp.f64 -13/2) (exp.f64 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (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 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (/.f64 (exp.f64 -13/2) (exp.f64 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (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 (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 z 2)) (/.f64 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (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 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (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)))) (exp.f64 (-.f64 -13/2 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 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 (+.f64 6765203681218851/10000000000000 (*.f64 z -5826188486005177/10000000000000)) (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 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (+.f64 6765203681218851/10000000000000 (.f64 z -5826188486005177/10000000000000)) (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 (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 (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 6765203681218851/10000000000000 z) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.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 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)))))))
(.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 9999999999998099/10000000000000000 (+.f64 (+.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 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))))
(.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 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (+.f64 z -1/2))) (exp.f64 (+.f64 -1/2 (neg.f64 (-.f64 z -6))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 30223877537487/2500000000000 z)) (/.f64 153960904158449/625000000000 (*.f64 z z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.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 -1/2 (-.f64 z -6)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 30223877537487/2500000000000 z)) (/.f64 153960904158449/625000000000 (*.f64 z z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.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 -1/2 (neg.f64 (-.f64 z -6))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 z -6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 153960904158449/625000000000 (*.f64 z z)))))))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (+.f64 z -1/2))) (exp.f64 (-.f64 -1/2 (-.f64 z -6)))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 z -6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 153960904158449/625000000000 (*.f64 z z)))))))
(.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)) (exp.f64 (+.f64 (neg.f64 z) -13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 30223877537487/2500000000000 z) (/.f64 153960904158449/625000000000 (*.f64 z z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.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 30223877537487/2500000000000 z) (/.f64 153960904158449/625000000000 (*.f64 z z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2501468655737381/200000000000000 (+.f64 z 4))) (+.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 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 9999999999998099/10000000000000000 (+.f64 (/.f64 4925021701373474946951247/25000000000000000000000 (*.f64 z z)) (/.f64 611458333333720910362579/25000000000000000000000 z)))))
(.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 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 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z))))
(if (<=.f64 z 4) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (exp.f64 -13/2)) (sqrt.f64 2/13)) z) (.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 4) (/.f64 (.f64 (.f64 (exp.f64 -13/2) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 6765203681218851/10000000000000)) (sqrt.f64 2/13)) z) (.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 4) (/.f64 (.f64 (.f64 (exp.f64 -13/2) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 6765203681218851/10000000000000)) (sqrt.f64 2/13)) z) (.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 z -1/2)))))))
(if (<=.f64 z 4) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 6765203681218851/10000000000000) (exp.f64 -13/2)) (sqrt.f64 2/13)) 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 z -1/2))))))
(if (<=.f64 z 4) (/.f64 (.f64 (.f64 (exp.f64 -13/2) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 6765203681218851/10000000000000)) (sqrt.f64 2/13)) 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))))))
(/.f64 (sqrt.f64 (.f64 (exp.f64 -13) (.f64 45767980848377092942628957760201/325000000000000000000000000 (PI.f64)))) z)
(/.f64 (sqrt.f64 (.f64 (exp.f64 -13) (.f64 (PI.f64) 45767980848377092942628957760201/325000000000000000000000000))) z)

Compiler

Compiled 645 to 531 computations (17.7% saved)

soundness387.0ms (1.5%)

Algorithm

3×	egg-herbie

Rules

1698×	`associate-*r/`
1436×	`times-frac`
1426×	`associate-*l/`
1340×	`associate-*r/`
1296×	`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	250	4698
1	731	4000
2	2732	3604

Stop Event

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

Compiler

Compiled 6660 to 5601 computations (15.9% saved)

end316.0ms (1.2%)

Compiler: Compiled 633 to 502 computations (20.7% saved)