Details

analyze29.0ms (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)

sample4.7s (12.2%)

Results

3.8s	8256×	body	256	valid
726.0ms	1485×	body	256	infinite
66.0ms	136×	body	256	unsamplable

Bogosity

preprocess79.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

867×	`times-frac_binary64`
687×	`fma-def_binary64`
654×	`associate-*l/_binary64`
647×	`associate-*r/_binary64`
325×	`associate-+l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	110
1	145	101
2	465	99
3	3026	99
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 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.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 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))))) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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)))))

Compiler

Compiled 96 to 85 computations (11.5% saved)

simplify60.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

867×	`times-frac_binary64`
687×	`fma-def_binary64`
654×	`associate-*l/_binary64`
647×	`associate-*r/_binary64`
325×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	110
1	145	101
2	465	99
3	3026	99

Stop Event

1×	node limit

Counts

1 → 2

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

eval6.0ms (0%)

Compiler: Compiled 160 to 137 computations (14.4% saved)

prune8.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

4.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	4.2b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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)))))
▶	4.2b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (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))))

Status

Error

Program

▶

4.2b

(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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)))))

▶

4.2b

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

Compiler

Compiled 161 to 139 computations (13.7% saved)

localize373.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))
✓	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.1b	(exp.f64 (+.f64 z 13/2))
✓	2.1b	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))

Compiler

Compiled 401 to 324 computations (19.2% saved)

series14.0ms (0%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	z	@	0	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))
2.0ms	z	@	-inf	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))
2.0ms	z	@	inf	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))
2.0ms	z	@	inf	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))
1.0ms	z	@	0	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))

rewrite244.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

319×	`add-sqr-sqrt_binary64`
303×	`add-log-exp_binary64`
302×	`log1p-expm1-u_binary64`
302×	`expm1-log1p-u_binary64`
301×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	56
1	627	56

Stop Event

1×	node limit

Counts

4 → 125

Calls

Call 1

Inputs
(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))
(exp.f64 (+.f64 z 13/2))
(sqrt.f64 (*.f64 (PI.f64) 2))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (neg.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 (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) 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 .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 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 1 (neg.f64 (exp.f64 (+.f64 z 13/2)))))))) 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(/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.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 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 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 7713234287776531/10000000000000 (+.f64 z 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.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 fma.f64 1 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) 2) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 2) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))))

simplify227.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

402×	`fma-neg_binary64`
338×	`fma-def_binary64`
332×	`cancel-sign-sub-inv_binary64`
319×	`sub-neg_binary64`
285×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	805
1	303	789
2	896	767
3	3893	689

Stop Event

1×	node limit

Counts

161 → 158

Calls

Call 1

Inputs
(/.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))))
(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 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 8724775023335764401/10000000000000000)
(-.f64 (+.f64 (.f64 42652334381119581/40000000000000 z) (.f64 6765203681218851/10000000000000 (/.f64 1 z))) 8724775023335764401/10000000000000000)
(-.f64 (+.f64 (.f64 -93017903050015693/80000000000000 (pow.f64 z 2)) (+.f64 (.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 8724775023335764401/10000000000000000)
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 943522900885677/5000000000000 (/.f64 1 z))) (.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 9999999999998099/10000000000000000 (+.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))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 943522900885677/5000000000000 (/.f64 1 z))) (.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 9999999999998099/10000000000000000 (+.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))))

Outputs
(/.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 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z))
(fma.f64 (-.f64 (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) (+.f64 (log.f64 13/2) -1/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))
(fma.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (log.f64 13/2) -1/13)) (/.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)))
(+.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 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (+.f64 (/.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))) (-.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))))) (.f64 z z) (*.f64 (-.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z)))
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (-.f64 (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) (+.f64 (log.f64 13/2) -1/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z (.f64 z (.f64 z (+.f64 (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (-.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 1/2 (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) (+.f64 (log.f64 13/2) -1/13))))))))))
(fma.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (log.f64 13/2) -1/13)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z (fma.f64 (fma.f64 (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (exp.f64 13/2)) (sqrt.f64 2/13) (-.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 1/2 (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (log.f64 13/2) -1/13))))) (*.f64 z 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 (fma.f64 z (.f64 z (-.f64 (/.f64 (.f64 (sqrt.f64 2/13) 1/2) (exp.f64 13/2)) (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (-.f64 (+.f64 (log.f64 13/2) -1/13) (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(+.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))))
(fma.f64 (-.f64 (+.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))) (/.f64 (+.f64 (fma.f64 27/169 (+.f64 (log.f64 13/2) -1/13) (.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3))) -82/6591) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))) (fma.f64 1/2 (-.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (/.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 (exp.f64 13/2) (sqrt.f64 2/13))) (.f64 7/6 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))) (pow.f64 z 3) (+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (+.f64 (/.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))) (-.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))))) (.f64 z z) (.f64 (-.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z))))
(+.f64 (fma.f64 (-.f64 (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) (+.f64 (log.f64 13/2) -1/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z (.f64 z (.f64 z (+.f64 (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (-.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 1/2 (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) (+.f64 (log.f64 13/2) -1/13))))))))) (fma.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 1/2 (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) (+.f64 (log.f64 13/2) -1/13)))) (/.f64 (fma.f64 (+.f64 (log.f64 13/2) -1/13) 27/169 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) -82/6591)) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))) (fma.f64 (-.f64 (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) (+.f64 (log.f64 13/2) -1/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) 1/2 (fma.f64 7/6 (/.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) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))))) (pow.f64 z 3) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(fma.f64 (-.f64 (fma.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 1/2 (.f64 (sqrt.f64 2/13) (+.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (/.f64 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) (+.f64 (.f64 (log.f64 13/2) 27/169) -163/6591)) (exp.f64 13/2))))) (fma.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 7/6 (fma.f64 (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (exp.f64 13/2)) (sqrt.f64 2/13) (.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (log.f64 13/2) -1/13)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) 1/2)))) (pow.f64 z 3) (fma.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (log.f64 13/2) -1/13)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z (fma.f64 (fma.f64 (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (exp.f64 13/2)) (sqrt.f64 2/13) (-.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 1/2 (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (log.f64 13/2) -1/13))))) (*.f64 z z) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))
(fma.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) (+.f64 (.f64 (log.f64 13/2) 27/169) -163/6591)))) (-.f64 (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) -2/3) (fma.f64 (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) 1/2 (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169))))) (pow.f64 z 3) (fma.f64 (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) z (fma.f64 z (.f64 z (-.f64 (/.f64 (.f64 (sqrt.f64 2/13) 1/2) (exp.f64 13/2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (-.f64 (+.f64 (log.f64 13/2) -1/13) (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))
(/.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 (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 (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 (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 (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 (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 (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)))
(exp.f64 13/2)
(+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z))
(*.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 (exp.f64 13/2) (.f64 z z)) (+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z)))
(fma.f64 1/2 (.f64 (exp.f64 13/2) (.f64 z z)) (*.f64 (+.f64 z 1) (exp.f64 13/2)))
(.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (.f64 z (*.f64 z 1/2))))
(.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (.f64 (*.f64 1/2 z) 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))))
(fma.f64 1/2 (.f64 (exp.f64 13/2) (.f64 z z)) (+.f64 (exp.f64 13/2) (fma.f64 1/6 (.f64 (exp.f64 13/2) (pow.f64 z 3)) (.f64 (exp.f64 13/2) z))))
(+.f64 (fma.f64 (.f64 (exp.f64 13/2) 1/6) (pow.f64 z 3) (.f64 (exp.f64 13/2) z)) (fma.f64 (.f64 (exp.f64 13/2) 1/2) (.f64 z z) (exp.f64 13/2)))
(fma.f64 (exp.f64 13/2) (.f64 z (.f64 z 1/2)) (.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (.f64 1/6 (pow.f64 z 3)))))
(.f64 (exp.f64 13/2) (+.f64 (.f64 (.f64 1/2 z) z) (+.f64 (+.f64 z 1) (.f64 1/6 (pow.f64 z 3)))))
(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 z))
(exp.f64 (-.f64 13/2 (*.f64 -1 z)))
(exp.f64 (+.f64 13/2 z))
(exp.f64 (-.f64 13/2 (*.f64 -1 z)))
(exp.f64 (+.f64 13/2 z))
(exp.f64 (-.f64 13/2 (*.f64 -1 z)))
(exp.f64 (+.f64 13/2 z))
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 8724775023335764401/10000000000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) -8724775023335764401/10000000000000000)
(-.f64 (+.f64 (.f64 42652334381119581/40000000000000 z) (.f64 6765203681218851/10000000000000 (/.f64 1 z))) 8724775023335764401/10000000000000000)
(+.f64 (fma.f64 42652334381119581/40000000000000 z (/.f64 6765203681218851/10000000000000 z)) -8724775023335764401/10000000000000000)
(+.f64 (fma.f64 z 42652334381119581/40000000000000 (/.f64 6765203681218851/10000000000000 z)) -8724775023335764401/10000000000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z 42652334381119581/40000000000000 -8724775023335764401/10000000000000000))
(-.f64 (+.f64 (.f64 -93017903050015693/80000000000000 (pow.f64 z 2)) (+.f64 (.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 8724775023335764401/10000000000000000)
(+.f64 (fma.f64 -93017903050015693/80000000000000 (*.f64 z z) (fma.f64 42652334381119581/40000000000000 z (/.f64 6765203681218851/10000000000000 z))) -8724775023335764401/10000000000000000)
(+.f64 (fma.f64 (*.f64 z z) -93017903050015693/80000000000000 (fma.f64 z 42652334381119581/40000000000000 (/.f64 6765203681218851/10000000000000 z))) -8724775023335764401/10000000000000000)
(+.f64 (fma.f64 z 42652334381119581/40000000000000 (/.f64 6765203681218851/10000000000000 z)) (fma.f64 z (*.f64 z -93017903050015693/80000000000000) -8724775023335764401/10000000000000000))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z (+.f64 42652334381119581/40000000000000 (*.f64 z -93017903050015693/80000000000000)) -8724775023335764401/10000000000000000))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 943522900885677/5000000000000 (/.f64 1 z))) (.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1417538204164517/5000000000000 (*.f64 z z))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (+.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 9999999999998099/10000000000000000 (-.f64 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) (/.f64 1417538204164517/5000000000000 (*.f64 z z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 -1417538204164517/5000000000000 (*.f64 z z)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 943522900885677/5000000000000 z) (+.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z)))))
(+.f64 (+.f64 (/.f64 943522900885677/5000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)))) (/.f64 -1417538204164517/5000000000000 (*.f64 z z)))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 943522900885677/5000000000000 (/.f64 1 z))) (.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1417538204164517/5000000000000 (*.f64 z z))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (+.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 9999999999998099/10000000000000000 (-.f64 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) (/.f64 1417538204164517/5000000000000 (*.f64 z z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 -1417538204164517/5000000000000 (*.f64 z z)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 943522900885677/5000000000000 z) (+.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z)))))
(+.f64 (+.f64 (/.f64 943522900885677/5000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)))) (/.f64 -1417538204164517/5000000000000 (*.f64 z z)))

localize389.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.1b	(exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))
✓	2.2b	(.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))))

Compiler

Compiled 605 to 524 computations (13.4% saved)

series9.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	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))))
2.0ms	z	@	0	(exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))
2.0ms	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	@	inf	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2)))

rewrite80.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

328×	`add-sqr-sqrt_binary64`
310×	`add-log-exp_binary64`
309×	`pow1_binary64`
309×	`log1p-expm1-u_binary64`
309×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	65
1	654	58

Stop Event

1×	node limit

Counts

3 → 90

Calls

Call 1

Inputs
(.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))))
(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)))

Inputs

(*.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))))

(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)))

Outputs
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Outputs

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simplify75.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

801×	`fma-def_binary64`
628×	`associate-l_binary64`
566×	`associate-r_binary64`
493×	`fma-neg_binary64`
314×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	120	938
1	377	831
2	1305	762
3	6938	761

Stop Event

1×	node limit

Counts

126 → 125

Calls

Call 1

Inputs
(.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)))
(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))))

Outputs
(.f64 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 2) (.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2/13) (*.f64 (exp.f64 -13/2) (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 2/13) (.f64 (*.f64 (sqrt.f64 2) (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 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 (sqrt.f64 2) (.f64 (.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) z))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (+.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (.f64 (+.f64 (log.f64 13/2) -14/13) z)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (*.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 (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))) (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 (sqrt.f64 2) (.f64 (.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) z)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (.f64 (+.f64 (log.f64 13/2) -14/13) z)))) (.f64 (sqrt.f64 2) (.f64 z (.f64 z (-.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 1/2 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169))) (.f64 (sqrt.f64 2/13) (*.f64 (exp.f64 -13/2) (+.f64 (log.f64 13/2) -1/13)))))))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (+.f64 (.f64 z (.f64 z (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (-.f64 (+.f64 223/338 (.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (+.f64 (log.f64 13/2) -1/13))))) (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (.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 (.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))))))
(fma.f64 (.f64 (sqrt.f64 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))) (sqrt.f64 (PI.f64)) (fma.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.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) (.f64 (fma.f64 1/2 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (log.f64 13/2) -1/13)) (fma.f64 (+.f64 (fma.f64 27/169 (+.f64 (log.f64 13/2) -1/13) (.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3))) -82/6591) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (fma.f64 -1/6 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (neg.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2)))))))) (pow.f64 z 3)))))))
(fma.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 1/2 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169))) (.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (+.f64 (log.f64 13/2) -1/13)))) (.f64 (.f64 z z) (sqrt.f64 (PI.f64)))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (.f64 (+.f64 (log.f64 13/2) -14/13) z)))) (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 -1/6 (neg.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169)))) (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (.f64 (log.f64 13/2) 1/2) -1/26) (fma.f64 (+.f64 (log.f64 13/2) -1/13) 27/169 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) -82/6591))))) (pow.f64 z 3))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 z (.f64 z (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (-.f64 (+.f64 223/338 (.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (+.f64 (log.f64 13/2) -1/13)))))) (.f64 (sqrt.f64 2) (+.f64 (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (.f64 z (+.f64 (log.f64 13/2) -14/13))))) (.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (.f64 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) -1/2) -331/1014) (+.f64 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) (+.f64 (.f64 (log.f64 13/2) 27/169) -163/6591)) (fma.f64 (log.f64 13/2) 1/2 -1/26)))) (pow.f64 z 3))))))
(.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 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (exp.f64 (+.f64 -13/2 (neg.f64 z)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z)))))
(.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 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (exp.f64 (+.f64 -13/2 (neg.f64 z)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z)))))
(.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 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (exp.f64 (+.f64 -13/2 (neg.f64 z)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z)))))
(.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 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (exp.f64 (+.f64 -13/2 (neg.f64 z)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z)))))
(.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 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (exp.f64 (+.f64 -13/2 (neg.f64 z)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z)))))
(.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 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (exp.f64 (+.f64 -13/2 (neg.f64 z)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z)))))
(.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 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (exp.f64 (+.f64 -13/2 (neg.f64 z)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z)))))
(.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 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (exp.f64 (+.f64 -13/2 (neg.f64 z)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z)))))
(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 (.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) (-.f64 (.f64 z (.f64 z 1/2)) z) (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))))
(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)))
(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)
(+.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)
(fma.f64 z 3147848041806007/2500000000000 (+.f64 (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)))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z (+.f64 3147848041806007/2500000000000 (*.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 9999999999998099/10000000000000000 (-.f64 (/.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 9999999999998099/10000000000000000 (-.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3)))))
(+.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 9999999999998099/10000000000000000 (-.f64 (/.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 9999999999998099/10000000000000000 (-.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (-.f64 (/.f64 -5826188486005177/10000000000000 z) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3)))))

eval816.0ms (2.1%)

Compiler: Compiled 26898 to 22824 computations (15.1% saved)

prune989.0ms (2.6%)

Pruning

79 alts after pruning (78 fresh and 1 done)

	Pruned	Kept	Total
New	228	78	306
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	229	79	308

Error

0.6b

Counts

308 → 79

Alt Table

Click to see full alt table

Status	Error	Program
	4.2b	(.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 (+.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))))
	4.3b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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)))))
	4.2b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 3)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.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 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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)))))
	5.3b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z 13/2))) (sqrt.f64 (+.f64 z 13/2))))))
	5.2b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (expm1.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))
	4.3b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (cbrt.f64 (exp.f64 (+.f64 z 13/2)))))))
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	4.1b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (.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 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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)))))
	4.8b	(.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) 3) (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))))
	4.3b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (/.f64 (pow.f64 (+.f64 z 13/2) z) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) -1/2) (cbrt.f64 (exp.f64 (+.f64 z 13/2)))))))
	4.2b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 z 6))) (exp.f64 -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))))
	5.5b	(.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 (+.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))))
	4.2b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 3) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z 2) 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 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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)))))
	4.2b	(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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)))))
	3.9b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))
	4.3b	(.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 (/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) 3)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.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 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))))
	56.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
▶	3.8b	(.f64 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))) (+.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 13270 to 11281 computations (15% saved)

localize494.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.9b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2)))
✓	1.0b	(sqrt.f64 (PI.f64))
✓	1.1b	(exp.f64 (-.f64 -13/2 z))
✓	1.7b	(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z)))

Compiler

Compiled 570 to 483 computations (15.3% saved)

series9.0ms (0%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	z	@	0	(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z)))
1.0ms	z	@	inf	(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z)))
1.0ms	z	@	-inf	(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z)))
0.0ms	z	@	0	(exp.f64 (-.f64 -13/2 z))
0.0ms	z	@	-inf	(exp.f64 (-.f64 -13/2 z))

rewrite116.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

624×	`log-prod_binary64`
368×	`pow2_binary64`
256×	`prod-diff_binary64`
250×	`expm1-udef_binary64`
250×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	281	28
2	3830	28

Stop Event

1×	node limit

Counts

3 → 93

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (-.f64 -13/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (-.f64 -13/2 z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (-.f64 -13/2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (-.f64 -13/2 z))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (-.f64 -13/2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 -13/2 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 -13/2 z)) 1)))) (#(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 -13/2) (exp.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -13/2) (/.f64 1 (exp.f64 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 (sqrt.f64 (exp.f64 (-.f64 -13/2 z))) (sqrt.f64 (exp.f64 (-.f64 -13/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (exp.f64 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 -13/2) (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (exp.f64 -13/2)) (neg.f64 (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 pow.f64 (exp.f64 (+.f64 z 13/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (-.f64 -13/2 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (-.f64 -13/2 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 -13/2 z))) (sqrt.f64 (-.f64 -13/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 -13/2 z)) 2)) (cbrt.f64 (-.f64 -13/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (-.f64 -13/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 -13/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 -13/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 3))))) (#(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 0 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 2))) (sqrt.f64 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (PI.f64) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (PI.f64) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))))))

simplify107.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

694×	`fma-neg_binary64`
594×	`associate-l_binary64`
592×	`associate-r_binary64`
483×	`fma-def_binary64`
321×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	911
1	300	802
2	1040	730
3	6303	707

Stop Event

1×	node limit

Counts

117 → 113

Calls

Call 1

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

Outputs
(*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))
(+.f64 (.f64 (-.f64 (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) (.f64 (sqrt.f64 13/2) (.f64 (pow.f64 (sqrt.f64 2/13) 2) (exp.f64 -13/2))))) z) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))
(fma.f64 (-.f64 (neg.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 (.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (sqrt.f64 13/2)) (.f64 (exp.f64 -13/2) (pow.f64 (sqrt.f64 2/13) 2)))) z (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))
(fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 (-.f64 (.f64 (sqrt.f64 2/13) (neg.f64 (exp.f64 -13/2))) (.f64 (-.f64 1/13 (log.f64 13/2)) (.f64 (exp.f64 -13/2) (*.f64 (sqrt.f64 13/2) 2/13)))) z))
(fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 (.f64 (exp.f64 -13/2) (-.f64 (neg.f64 (sqrt.f64 2/13)) (.f64 (-.f64 1/13 (log.f64 13/2)) (.f64 (sqrt.f64 13/2) 2/13)))) z))
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(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z)))
(/.f64 (exp.f64 (-.f64 (.f64 -1 z) 13/2)) (exp.f64 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2))))
(/.f64 (exp.f64 (+.f64 -13/2 (neg.f64 z))) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)))
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)))
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z)))
(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))
(fma.f64 (neg.f64 z) (exp.f64 -13/2) (exp.f64 -13/2))
(*.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 (*.f64 1/2 z) z) (neg.f64 z))))
(fma.f64 (exp.f64 -13/2) (-.f64 (.f64 z (.f64 z 1/2)) 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 (fma.f64 (neg.f64 z) (exp.f64 -13/2) (exp.f64 -13/2)) (.f64 (exp.f64 -13/2) (+.f64 (.f64 (pow.f64 z 3) -1/6) (.f64 (.f64 1/2 z) z))))
(+.f64 (exp.f64 -13/2) (.f64 (exp.f64 -13/2) (+.f64 (.f64 (.f64 z z) (+.f64 (.f64 z -1/6) 1/2)) (neg.f64 z))))
(+.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))

localize474.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.1b	(exp.f64 (+.f64 z 13/2))
	2.1b	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))

Compiler

Compiled 297 to 240 computations (19.2% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))
0.0ms	z	@	-inf	(pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))
0.0ms	z	@	inf	(pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))

rewrite94.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

927×	`pow1_binary64`
874×	`add-log-exp_binary64`
874×	`log1p-expm1-u_binary64`
874×	`expm1-log1p-u_binary64`
859×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	169	10
2	2224	10

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

Outputs

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

simplify90.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

543×	`distribute-rgt-in_binary64`
540×	`distribute-lft-in_binary64`
467×	`associate-+l+_binary64`
405×	`associate-+r+_binary64`
357×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	221
1	129	213
2	386	198
3	1887	195
4	7478	195

Stop Event

1×	node limit

Counts

29 → 27

Calls

Call 1

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

Outputs
(sqrt.f64 2/13)
(+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 z (sqrt.f64 2/13))) (sqrt.f64 2/13))
(fma.f64 (+.f64 (log.f64 13/2) -1/13) (*.f64 (sqrt.f64 2/13) z) (sqrt.f64 2/13))
(*.f64 (sqrt.f64 2/13) (fma.f64 (+.f64 (log.f64 13/2) -1/13) z 1))
(+.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (.f64 (pow.f64 z 2) (sqrt.f64 2/13))) (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 z (sqrt.f64 2/13))) (sqrt.f64 2/13)))
(fma.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (.f64 (sqrt.f64 2/13) (.f64 z z)) (fma.f64 (+.f64 (log.f64 13/2) -1/13) (.f64 (sqrt.f64 2/13) z) (sqrt.f64 2/13)))
(+.f64 (sqrt.f64 2/13) (.f64 (sqrt.f64 2/13) (+.f64 (.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (.f64 z z)) (.f64 (+.f64 (log.f64 13/2) -1/13) z))))
(fma.f64 (sqrt.f64 2/13) (.f64 z (+.f64 (.f64 z (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169)) (+.f64 (log.f64 13/2) -1/13))) (sqrt.f64 2/13))
(fma.f64 (sqrt.f64 2/13) (.f64 z (+.f64 (+.f64 (log.f64 13/2) -1/13) (.f64 z (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169)))) (sqrt.f64 2/13))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (.f64 (pow.f64 z 3) (sqrt.f64 2/13))) (+.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (.f64 (pow.f64 z 2) (sqrt.f64 2/13))) (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (*.f64 z (sqrt.f64 2/13))) (sqrt.f64 2/13))))
(fma.f64 (+.f64 (fma.f64 27/169 (+.f64 (log.f64 13/2) -1/13) (.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3))) -82/6591) (.f64 (sqrt.f64 2/13) (pow.f64 z 3)) (fma.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (.f64 (sqrt.f64 2/13) (.f64 z z)) (fma.f64 (+.f64 (log.f64 13/2) -1/13) (.f64 (sqrt.f64 2/13) z) (sqrt.f64 2/13))))
(+.f64 (fma.f64 (+.f64 (log.f64 13/2) -1/13) (.f64 (sqrt.f64 2/13) z) (sqrt.f64 2/13)) (.f64 (sqrt.f64 2/13) (+.f64 (.f64 (fma.f64 (+.f64 (log.f64 13/2) -1/13) 27/169 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) -82/6591)) (pow.f64 z 3)) (.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (*.f64 z z)))))
(fma.f64 (sqrt.f64 2/13) (.f64 (.f64 z z) (+.f64 (.f64 z (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) (+.f64 (.f64 (log.f64 13/2) 27/169) -163/6591))) (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169))) (*.f64 (sqrt.f64 2/13) (fma.f64 (+.f64 (log.f64 13/2) -1/13) z 1)))
(.f64 (sqrt.f64 2/13) (+.f64 (fma.f64 (+.f64 (log.f64 13/2) -1/13) z 1) (.f64 (.f64 z z) (+.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (.f64 z (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) (+.f64 (*.f64 (log.f64 13/2) 27/169) -163/6591)))))))
(pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))
(pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))
(pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))
(pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))
(exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2))))
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))
(exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2))))
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))
(exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2))))
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))
(exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2))))
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))

localize1.0s (2.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.8b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	2.1b	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (E.f64) (+.f64 z 13/2)))
✓	3.1b	(pow.f64 (E.f64) (+.f64 z 13/2))

Compiler

Compiled 406 to 325 computations (20% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(pow.f64 (E.f64) (+.f64 z 13/2))
1.0ms	z	@	0	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (E.f64) (+.f64 z 13/2)))
0.0ms	z	@	-inf	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (E.f64) (+.f64 z 13/2)))
0.0ms	z	@	inf	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (E.f64) (+.f64 z 13/2)))
0.0ms	z	@	inf	(pow.f64 (E.f64) (+.f64 z 13/2))

rewrite80.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

547×	`log-prod_binary64`
343×	`pow-unpow_binary64`
319×	`pow2_binary64`
309×	`pow-pow_binary64`
256×	`prod-diff_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	242	24
2	3341	24

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (+.f64 z 13/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (+.f64 z 13/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (+.f64 z 13/2))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (+.f64 z 13/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (+.f64 z 13/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) (cbrt.f64 (pow.f64 (exp.f64 2) (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (+.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 *.f64 (exp.f64 13/2) (exp.f64 z))))) (#(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 (pow.f64 1 (+.f64 z 13/2)) (exp.f64 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 2/3) (+.f64 z 13/2)) (pow.f64 (exp.f64 1/3) (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (E.f64) (*.f64 2 (*.f64 1/3 (+.f64 z 13/2)))) (pow.f64 (exp.f64 1/3) (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (+.f64 z 13/2)))) (E.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (E.f64) (/.f64 (*.f64 z z) (+.f64 z -13/2))) (pow.f64 (E.f64) (/.f64 169/4 (+.f64 z -13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 2) (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (+.f64 z 13/2)) 3))))) (#(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 exp.f64 (+.f64 z 13/2))))))

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

simplify60.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

426×	`associate--l+_binary64`
362×	`fma-neg_binary64`
302×	`cancel-sign-sub-inv_binary64`
291×	`sub-neg_binary64`
274×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	667
1	228	651
2	728	629
3	3387	552

Stop Event

1×	node limit

Counts

94 → 89

Calls

Call 1

Inputs
(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))))

Outputs
(exp.f64 13/2)
(+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z))
(fma.f64 (exp.f64 13/2) z (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 (exp.f64 13/2) (.f64 z z)) (+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z)))
(fma.f64 1/2 (.f64 (exp.f64 13/2) (.f64 z z)) (fma.f64 (exp.f64 13/2) z (exp.f64 13/2)))
(.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (.f64 z (*.f64 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 (exp.f64 13/2) (.f64 z z)) (+.f64 (exp.f64 13/2) (fma.f64 1/6 (.f64 (exp.f64 13/2) (pow.f64 z 3)) (.f64 (exp.f64 13/2) z))))
(+.f64 (fma.f64 1/2 (.f64 (exp.f64 13/2) (.f64 z z)) (fma.f64 (exp.f64 13/2) z (exp.f64 13/2))) (.f64 (exp.f64 13/2) (.f64 (pow.f64 z 3) 1/6)))
(fma.f64 (exp.f64 13/2) (.f64 z (.f64 z 1/2)) (.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (.f64 1/6 (pow.f64 z 3)))))
(.f64 (exp.f64 13/2) (+.f64 (.f64 z (.f64 z 1/2)) (+.f64 (+.f64 z 1) (.f64 1/6 (pow.f64 z 3)))))
(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 z))
(exp.f64 (-.f64 13/2 (*.f64 -1 z)))
(exp.f64 (+.f64 13/2 z))
(exp.f64 (-.f64 13/2 (*.f64 -1 z)))
(exp.f64 (+.f64 13/2 z))
(exp.f64 (-.f64 13/2 (*.f64 -1 z)))
(exp.f64 (+.f64 13/2 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 z (-.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))
(fma.f64 z (-.f64 (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) (+.f64 (log.f64 13/2) -1/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))
(fma.f64 z (-.f64 (*.f64 (sqrt.f64 2/13) (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))
(fma.f64 z (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))
(+.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 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (+.f64 (/.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))) (-.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))))) (.f64 z z) (*.f64 z (-.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))))
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 z (-.f64 (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) (+.f64 (log.f64 13/2) -1/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (.f64 (.f64 z z) (+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (-.f64 (/.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))) (fma.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) (+.f64 (log.f64 13/2) -1/13)))))))))
(fma.f64 z (-.f64 (.f64 (sqrt.f64 2/13) (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (fma.f64 (.f64 z z) (fma.f64 (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (exp.f64 13/2)) (sqrt.f64 2/13) (-.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (sqrt.f64 2/13) (*.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(fma.f64 z (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) (fma.f64 z (.f64 z (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (.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) (+.f64 (log.f64 13/2) -1/13))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(+.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))))
(fma.f64 (-.f64 (+.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))) (/.f64 (+.f64 (fma.f64 27/169 (+.f64 (log.f64 13/2) -1/13) (.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3))) -82/6591) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))) (fma.f64 1/2 (-.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (/.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 (exp.f64 13/2) (sqrt.f64 2/13))) (.f64 7/6 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))) (pow.f64 z 3) (+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (+.f64 (/.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))) (-.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))))) (.f64 z z) (.f64 z (-.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))))
(fma.f64 (pow.f64 z 3) (+.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) (+.f64 (log.f64 13/2) -1/13)))) (-.f64 (.f64 (/.f64 (fma.f64 (+.f64 (log.f64 13/2) -1/13) 27/169 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) -82/6591)) (exp.f64 13/2)) (sqrt.f64 2/13)) (fma.f64 1/2 (-.f64 (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) (+.f64 (log.f64 13/2) -1/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (fma.f64 7/6 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.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 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 z (-.f64 (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) (+.f64 (log.f64 13/2) -1/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (.f64 (*.f64 z z) (+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (-.f64 (/.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))) (fma.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) (+.f64 (log.f64 13/2) -1/13))))))))))
(fma.f64 (pow.f64 z 3) (-.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (.f64 (sqrt.f64 2/13) (+.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (/.f64 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) (+.f64 (.f64 (log.f64 13/2) 27/169) -163/6591)) (exp.f64 13/2))))) (fma.f64 (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (exp.f64 13/2)) (sqrt.f64 2/13) (fma.f64 1/2 (-.f64 (.f64 (sqrt.f64 2/13) (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 7/6 (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))))) (fma.f64 z (-.f64 (.f64 (sqrt.f64 2/13) (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (fma.f64 (.f64 z z) (fma.f64 (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (exp.f64 13/2)) (sqrt.f64 2/13) (-.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (sqrt.f64 2/13) (.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))
(fma.f64 (pow.f64 z 3) (-.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) (+.f64 (.f64 (log.f64 13/2) 27/169) -163/6591)))) (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) -2/3)) (fma.f64 1/2 (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169)))) (fma.f64 z (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) (fma.f64 z (.f64 z (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (*.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) (+.f64 (log.f64 13/2) -1/13))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))
(/.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 (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 (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 (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 (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 (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 (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)))

localize408.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.1b	(exp.f64 (+.f64 z 13/2))
	2.1b	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))
✓	8.5b	(log.f64 (exp.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))

Compiler

Compiled 432 to 349 computations (19.2% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

rewrite113.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

541×	`log-prod_binary64`
305×	`pow2_binary64`
303×	`pow-prod-down_binary64`
256×	`prod-diff_binary64`
255×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	235	18
2	3120	18

Stop Event

1×	node limit

Counts

1 → 63

Calls

Call 1

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

simplify76.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

499×	`associate--r+_binary64`
435×	`associate-+l-_binary64`
421×	`associate--l+_binary64`
354×	`fma-neg_binary64`
302×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	547
1	196	535
2	625	521
3	2985	447

Stop Event

1×	node limit

Counts

75 → 73

Calls

Call 1

Inputs
(/.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))))

Outputs
(/.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 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z))
(fma.f64 (-.f64 (*.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (sqrt.f64 2/13)) (/.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) (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2))) (/.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)))
(+.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 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (+.f64 (/.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))) (-.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))))) (.f64 z z) (*.f64 (-.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z)))
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (-.f64 (.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (sqrt.f64 2/13)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z (.f64 z (.f64 z (+.f64 (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (-.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 1/2 (.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (sqrt.f64 2/13)))))))))
(fma.f64 (-.f64 (.f64 (sqrt.f64 2/13) (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z (fma.f64 z (.f64 z (fma.f64 (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (exp.f64 13/2)) (sqrt.f64 2/13) (-.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (sqrt.f64 2/13) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 1/2))))) (/.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 (fma.f64 z (.f64 z (+.f64 (/.f64 (sqrt.f64 2/13) (/.f64 (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) (+.f64 (log.f64 13/2) -1/13))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(+.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))))
(fma.f64 (-.f64 (+.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))) (/.f64 (+.f64 (fma.f64 27/169 (+.f64 (log.f64 13/2) -1/13) (.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3))) -82/6591) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))) (fma.f64 1/2 (-.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (/.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 (exp.f64 13/2) (sqrt.f64 2/13))) (.f64 7/6 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))) (pow.f64 z 3) (+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (+.f64 (/.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))) (-.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))))) (.f64 z z) (.f64 (-.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z))))
(+.f64 (fma.f64 (-.f64 (.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (sqrt.f64 2/13)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z (.f64 z (.f64 z (+.f64 (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (-.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 1/2 (.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (sqrt.f64 2/13)))))))) (fma.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 1/2 (.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (sqrt.f64 2/13))) (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) (fma.f64 (+.f64 (log.f64 13/2) -1/13) 27/169 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) -82/6591))))) (fma.f64 (-.f64 (.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (sqrt.f64 2/13)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) 1/2 (fma.f64 7/6 (/.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) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))))) (pow.f64 z 3) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(fma.f64 (-.f64 (fma.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 1/2 (.f64 (sqrt.f64 2/13) (+.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (/.f64 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) (+.f64 (.f64 (log.f64 13/2) 27/169) -163/6591)) (exp.f64 13/2))))) (fma.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 7/6 (fma.f64 (-.f64 (.f64 (sqrt.f64 2/13) (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) 1/2 (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169))))) (pow.f64 z 3) (fma.f64 (-.f64 (.f64 (sqrt.f64 2/13) (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z (fma.f64 z (.f64 z (fma.f64 (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (exp.f64 13/2)) (sqrt.f64 2/13) (-.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (sqrt.f64 2/13) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) 1/2))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))
(fma.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) (+.f64 (.f64 (log.f64 13/2) 27/169) -163/6591)))) (-.f64 (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) -2/3) (fma.f64 (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) 1/2 (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169))))) (pow.f64 z 3) (fma.f64 (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) z (fma.f64 z (.f64 z (+.f64 (/.f64 (sqrt.f64 2/13) (/.f64 (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) (+.f64 (log.f64 13/2) -1/13))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))
(/.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 (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 (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 (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 (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 (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 (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)))

localize826.0ms (2.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(+.f64 (.f64 (fma.f64 -3147848041806007/2500000000000 (+.f64 z 2) (.f64 (+.f64 z 1) 7713234287776531/10000000000000)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))) (.f64 (.f64 (+.f64 z 1) (+.f64 z 2)) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.1b	(exp.f64 (+.f64 z 13/2))
	2.1b	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))

Compiler

Compiled 733 to 567 computations (22.6% saved)

series5.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

(+.f64 (*.f64 (fma.f64 -3147848041806007/2500000000000 (+.f64 z 2) (*.f64 (+.f64 z 1) 7713234287776531/10000000000000)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))) (*.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)))))

1.0ms

inf

(+.f64 (*.f64 (fma.f64 -3147848041806007/2500000000000 (+.f64 z 2) (*.f64 (+.f64 z 1) 7713234287776531/10000000000000)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))) (*.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)))))

1.0ms

-inf

(+.f64 (*.f64 (fma.f64 -3147848041806007/2500000000000 (+.f64 z 2) (*.f64 (+.f64 z 1) 7713234287776531/10000000000000)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))) (*.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)))))

rewrite249.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

344×	`add-sqr-sqrt_binary64`
328×	`add-cbrt-cube_binary64`
326×	`add-log-exp_binary64`
326×	`log1p-expm1-u_binary64`
326×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	54
1	707	49

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs

(+.f64 (*.f64 (fma.f64 -3147848041806007/2500000000000 (+.f64 z 2) (*.f64 (+.f64 z 1) 7713234287776531/10000000000000)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))) (*.f64 (*.f64 (+.f64 z 1) (+.f64 z 2)) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)))))

Outputs

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309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z -3) 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (*.f64 (+.f64 z 2) (+.f64 z 1)) (fma.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z -3) 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000)) (*.f64 (fma.f64 -3147848041806007/2500000000000 (+.f64 z 2) (*.f64 (+.f64 z 1) 7713234287776531/10000000000000)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 z) 67652036812175649347802002964249/100000000000000000000000000000) z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 z 1) (*.f64 (+.f64 z 2) (fma.f64 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99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 z) 67652036812175649347802002964249/100000000000000000000000000000) z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 -3147848041806007/2500000000000 (+.f64 z 2) (*.f64 (+.f64 z 1) 7713234287776531/10000000000000)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 z) 67652036812175649347802002964249/100000000000000000000000000000) z)))) 2) (cbrt.f64 (*.f64 (fma.f64 -3147848041806007/2500000000000 (+.f64 z 2) (*.f64 (+.f64 z 1) 7713234287776531/10000000000000)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 z) 67652036812175649347802002964249/100000000000000000000000000000) z)))) (*.f64 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z 2) (+.f64 z 1)) (fma.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z -3) 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000)))))))

simplify154.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

982×	`fma-def_binary64`
738×	`associate-/l*_binary64`
536×	`unswap-sqr_binary64`
419×	`sqr-pow_binary64`
361×	`associate-/r/_binary64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	31	174
1	80	174
2	177	164
3	379	148
4	797	148
5	2544	144
6	5820	144
7	6178	142
8	6515	142
9	6907	142
10	7384	142

Stop Event

1×	node limit

Counts

49 → 52

Calls

Call 1

Inputs
(/.f64 309629712517394580428200722024092610534658749051/500000000000000000000000000000000000000 (pow.f64 z 3))
(+.f64 (.f64 309629712517394580428200722024092610534658749051/500000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 32335776396589058726036438583331871056202817657/250000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))
(+.f64 (.f64 32335776396589058726036438583331871056202817657/250000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 309629712517394580428200722024092610534658749051/500000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3501925070333251713749521735834942001780364138549/40000000000000000000000000000000000000000 (/.f64 1 z))))
(+.f64 (.f64 32335776396589058726036438583331871056202817657/250000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 164136180715660140533476246518345909110075958648401799/500000000000000000000000000000000000000000000000 (+.f64 (.f64 309629712517394580428200722024092610534658749051/500000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3501925070333251713749521735834942001780364138549/40000000000000000000000000000000000000000 (/.f64 1 z)))))
(*.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 z 2))
(+.f64 (.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 z 2)) (.f64 -484815787944565943337423423467509732905264715604103/1000000000000000000000000000000000000000000000000 z))
(+.f64 164136180715660140533476246518345909110075958648401799/500000000000000000000000000000000000000000000000 (+.f64 (.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 z 2)) (.f64 -484815787944565943337423423467509732905264715604103/1000000000000000000000000000000000000000000000000 z)))
(+.f64 164136180715660140533476246518345909110075958648401799/500000000000000000000000000000000000000000000000 (+.f64 (.f64 3501925070333251713749521735834942001780364138549/40000000000000000000000000000000000000000 (/.f64 1 z)) (+.f64 (.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 z 2)) (*.f64 -484815787944565943337423423467509732905264715604103/1000000000000000000000000000000000000000000000000 z))))
(*.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 z 2))
(+.f64 (.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 z 2)) (.f64 -484815787944565943337423423467509732905264715604103/1000000000000000000000000000000000000000000000000 z))
(+.f64 164136180715660140533476246518345909110075958648401799/500000000000000000000000000000000000000000000000 (+.f64 (.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 z 2)) (.f64 -484815787944565943337423423467509732905264715604103/1000000000000000000000000000000000000000000000000 z)))
(+.f64 164136180715660140533476246518345909110075958648401799/500000000000000000000000000000000000000000000000 (+.f64 (.f64 3501925070333251713749521735834942001780364138549/40000000000000000000000000000000000000000 (/.f64 1 z)) (+.f64 (.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 z 2)) (*.f64 -484815787944565943337423423467509732905264715604103/1000000000000000000000000000000000000000000000000 z))))

Outputs
(/.f64 309629712517394580428200722024092610534658749051/500000000000000000000000000000000000000 (pow.f64 z 3))
(+.f64 (.f64 309629712517394580428200722024092610534658749051/500000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 32335776396589058726036438583331871056202817657/250000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))
(+.f64 (/.f64 309629712517394580428200722024092610534658749051/500000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 32335776396589058726036438583331871056202817657/250000000000000000000000000000000000000 (*.f64 z z)))
(+.f64 (/.f64 309629712517394580428200722024092610534658749051/500000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 (/.f64 32335776396589058726036438583331871056202817657/250000000000000000000000000000000000000 z) z))
(+.f64 (.f64 32335776396589058726036438583331871056202817657/250000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 309629712517394580428200722024092610534658749051/500000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3501925070333251713749521735834942001780364138549/40000000000000000000000000000000000000000 (/.f64 1 z))))
(+.f64 (/.f64 32335776396589058726036438583331871056202817657/250000000000000000000000000000000000000 (*.f64 z z)) (+.f64 (/.f64 309629712517394580428200722024092610534658749051/500000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 3501925070333251713749521735834942001780364138549/40000000000000000000000000000000000000000 z)))
(+.f64 (/.f64 309629712517394580428200722024092610534658749051/500000000000000000000000000000000000000 (pow.f64 z 3)) (+.f64 (/.f64 3501925070333251713749521735834942001780364138549/40000000000000000000000000000000000000000 z) (/.f64 32335776396589058726036438583331871056202817657/250000000000000000000000000000000000000 (*.f64 z z))))
(+.f64 (/.f64 309629712517394580428200722024092610534658749051/500000000000000000000000000000000000000 (pow.f64 z 3)) (+.f64 (/.f64 32335776396589058726036438583331871056202817657/250000000000000000000000000000000000000 (*.f64 z z)) (/.f64 3501925070333251713749521735834942001780364138549/40000000000000000000000000000000000000000 z)))
(fma.f64 (/.f64 1 (*.f64 z z)) (+.f64 32335776396589058726036438583331871056202817657/250000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/500000000000000000000000000000000000000 z)) (/.f64 3501925070333251713749521735834942001780364138549/40000000000000000000000000000000000000000 z))
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eval2.3s (5.9%)

Compiler: Compiled 66974 to 55227 computations (17.5% saved)

prune1.1s (3%)

Pruning

116 alts after pruning (111 fresh and 5 done)

	Pruned	Kept	Total
New	727	60	787
Fresh	22	51	73
Picked	0	1	1
Done	1	4	5
Total	750	116	866

Error

0.4b

Counts

866 → 116

Alt Table

Click to see full alt table

Status	Error	Program
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	5.5b	(.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 (+.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))))
	4.2b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 3) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z 2) 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 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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)))))
	4.2b	(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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)))))
	4.8b	(.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) 3) (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))))
	3.8b	(.f64 (.f64 (sqrt.f64 2) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))) (+.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))))
	56.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
	4.3b	(.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 (/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) 3)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.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 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))))
	4.7b	(.f64 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 3) 1/3) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))) (+.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))))
✓	3.8b	(.f64 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))) (+.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))))
▶	63.1b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
	4.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (fma.f64 1 (.f64 (fma.f64 -3147848041806007/2500000000000 (+.f64 z 2) (.f64 (+.f64 z 1) 7713234287776531/10000000000000)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 z) 67652036812175649347802002964249/100000000000000000000000000000) z))) (.f64 (.f64 (+.f64 z 2) (+.f64 z 1)) (fma.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z -3) 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000))) (.f64 (.f64 (+.f64 z 1) (+.f64 z 2)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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)))))
	5.2b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (+.f64 (.f64 (fma.f64 -3147848041806007/2500000000000 (+.f64 z 2) (.f64 (+.f64 z 1) 7713234287776531/10000000000000)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (.f64 (.f64 (+.f64 z 1) (+.f64 z 2)) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z))))) (.f64 (.f64 (+.f64 z 1) (+.f64 z 2)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (E.f64) (+.f64 z 13/2)))))
	5.2b	(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (E.f64) (+.f64 z 13/2)))))

Compiler

Compiled 19607 to 16607 computations (15.3% saved)

localize237.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(+.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)))
	0.9b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2)))
	1.0b	(sqrt.f64 (PI.f64))
✓	1.7b	(/.f64 (/.f64 (exp.f64 -13/2) (exp.f64 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z)))

Compiler

Compiled 576 to 484 computations (16% saved)

series6.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(/.f64 (/.f64 (exp.f64 -13/2) (exp.f64 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z)))
1.0ms	z	@	inf	(/.f64 (/.f64 (exp.f64 -13/2) (exp.f64 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z)))
1.0ms	z	@	-inf	(/.f64 (/.f64 (exp.f64 -13/2) (exp.f64 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z)))
0.0ms	z	@	0	(+.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)))
0.0ms	z	@	-inf	(+.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)))

rewrite78.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

354×	`add-sqr-sqrt_binary64`
339×	`add-log-exp_binary64`
337×	`log1p-expm1-u_binary64`
337×	`expm1-log1p-u_binary64`
335×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	46
1	697	43

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

Inputs

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

(+.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)))

Outputs

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z -2)))) 2))))) (#(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 7713234287776531/10000000000000 (-.f64 z -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.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 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 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simplify51.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

531×	`fma-def_binary64`
490×	`associate-r_binary64`
469×	`associate-l_binary64`
450×	`distribute-rgt-in_binary64`
448×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	122	896
1	375	780
2	1358	694

Stop Event

1×	node limit

Counts

85 → 85

Calls

Call 1

Inputs
(/.f64 (exp.f64 -13/2) (sqrt.f64 13/2))
(+.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 13/2)) (.f64 -1 (/.f64 (.f64 (+.f64 (sqrt.f64 13/2) (.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 13/2))) (*.f64 z (exp.f64 -13/2))) (pow.f64 (sqrt.f64 13/2) 2))))
(+.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 13/2)) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 13/2)) (+.f64 (.f64 1/2 (sqrt.f64 13/2)) (.f64 (sqrt.f64 13/2) (-.f64 (.f64 1/2 (pow.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) 2)) 27/169)))) (exp.f64 -13/2)) (pow.f64 (sqrt.f64 13/2) 2)) (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 (sqrt.f64 13/2) (.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 13/2))) 2) (exp.f64 -13/2)) (pow.f64 (sqrt.f64 13/2) 3)))) (pow.f64 z 2))) (.f64 -1 (/.f64 (.f64 (+.f64 (sqrt.f64 13/2) (.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 13/2))) (.f64 z (exp.f64 -13/2))) (pow.f64 (sqrt.f64 13/2) 2)))))
(+.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 13/2)) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 13/2)) (+.f64 (.f64 1/2 (sqrt.f64 13/2)) (.f64 (sqrt.f64 13/2) (-.f64 (.f64 1/2 (pow.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) 2)) 27/169)))) (exp.f64 -13/2)) (pow.f64 (sqrt.f64 13/2) 2)) (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 (sqrt.f64 13/2) (.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 13/2))) 2) (exp.f64 -13/2)) (pow.f64 (sqrt.f64 13/2) 3)))) (pow.f64 z 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (sqrt.f64 13/2) (.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 13/2))) (.f64 z (exp.f64 -13/2))) (pow.f64 (sqrt.f64 13/2) 2))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (sqrt.f64 13/2) (.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 13/2))) (.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 13/2)) (+.f64 (.f64 1/2 (sqrt.f64 13/2)) (.f64 (sqrt.f64 13/2) (-.f64 (.f64 1/2 (pow.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) 2)) 27/169)))) (exp.f64 -13/2))) (pow.f64 (sqrt.f64 13/2) 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (sqrt.f64 13/2) (.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 13/2))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 (sqrt.f64 13/2)) (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 13/2)) (.f64 (sqrt.f64 13/2) (-.f64 (.f64 1/2 (pow.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) 2)) 27/169)))) (exp.f64 -13/2)) (pow.f64 (sqrt.f64 13/2) 2)) (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 (sqrt.f64 13/2) (.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 13/2))) 2) (exp.f64 -13/2)) (pow.f64 (sqrt.f64 13/2) 3))))) (sqrt.f64 13/2))) (/.f64 (.f64 (+.f64 (.f64 (sqrt.f64 13/2) (+.f64 (.f64 1/6 (pow.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) 3)) (+.f64 82/6591 (.f64 -27/169 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13))))) (+.f64 (.f64 1/6 (sqrt.f64 13/2)) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 13/2))) (.f64 (sqrt.f64 13/2) (-.f64 (.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 13/2)) 1/13) 2)) 27/169))))) (exp.f64 -13/2)) (pow.f64 (sqrt.f64 13/2) 2)))) (pow.f64 z 3))))))
(/.f64 (exp.f64 -13/2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)) (exp.f64 z)))
(/.f64 (exp.f64 -13/2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)) (exp.f64 z)))
(/.f64 (exp.f64 -13/2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)) (exp.f64 z)))
(/.f64 (exp.f64 -13/2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)) (exp.f64 z)))
(/.f64 (exp.f64 -13/2) (.f64 (exp.f64 z) (exp.f64 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))))
(/.f64 (exp.f64 -13/2) (.f64 (exp.f64 z) (exp.f64 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))))
(/.f64 (exp.f64 -13/2) (.f64 (exp.f64 z) (exp.f64 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))))
(/.f64 (exp.f64 -13/2) (.f64 (exp.f64 z) (exp.f64 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))))
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 8724775023335764401/10000000000000000)
(-.f64 (+.f64 (.f64 42652334381119581/40000000000000 z) (.f64 6765203681218851/10000000000000 (/.f64 1 z))) 8724775023335764401/10000000000000000)
(-.f64 (+.f64 (.f64 -93017903050015693/80000000000000 (pow.f64 z 2)) (+.f64 (.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 8724775023335764401/10000000000000000)
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 943522900885677/5000000000000 (/.f64 1 z))) (.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 9999999999998099/10000000000000000 (+.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))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 943522900885677/5000000000000 (/.f64 1 z))) (.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 9999999999998099/10000000000000000 (+.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))))

Outputs
(/.f64 (exp.f64 -13/2) (sqrt.f64 13/2))
(+.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 13/2)) (.f64 -1 (/.f64 (.f64 (+.f64 (sqrt.f64 13/2) (.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 13/2))) (*.f64 z (exp.f64 -13/2))) (pow.f64 (sqrt.f64 13/2) 2))))
(+.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 13/2)) (neg.f64 (/.f64 (.f64 (+.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 1) (sqrt.f64 13/2)) (/.f64 (pow.f64 (sqrt.f64 13/2) 2) (.f64 (exp.f64 -13/2) z)))))
(-.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 13/2)) (.f64 (/.f64 (.f64 (sqrt.f64 13/2) (+.f64 (neg.f64 (log.f64 13/2)) 14/13)) 13/2) (*.f64 (exp.f64 -13/2) z)))
(+.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 13/2)) (.f64 -2/13 (.f64 (-.f64 14/13 (log.f64 13/2)) (.f64 (.f64 (sqrt.f64 13/2) z) (exp.f64 -13/2)))))
(+.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 13/2)) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 13/2)) (+.f64 (.f64 1/2 (sqrt.f64 13/2)) (.f64 (sqrt.f64 13/2) (-.f64 (.f64 1/2 (pow.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) 2)) 27/169)))) (exp.f64 -13/2)) (pow.f64 (sqrt.f64 13/2) 2)) (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 (sqrt.f64 13/2) (.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 13/2))) 2) (exp.f64 -13/2)) (pow.f64 (sqrt.f64 13/2) 3)))) (pow.f64 z 2))) (.f64 -1 (/.f64 (.f64 (+.f64 (sqrt.f64 13/2) (.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) (sqrt.f64 13/2))) (.f64 z (exp.f64 -13/2))) (pow.f64 (sqrt.f64 13/2) 2)))))
(+.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 13/2)) (fma.f64 -1 (.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (sqrt.f64 13/2) (fma.f64 1/2 (sqrt.f64 13/2) (.f64 (sqrt.f64 13/2) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 2) -27/169)))) (/.f64 (pow.f64 (sqrt.f64 13/2) 2) (exp.f64 -13/2))) (neg.f64 (/.f64 (pow.f64 (.f64 (+.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 1) (sqrt.f64 13/2)) 2) (/.f64 (pow.f64 (sqrt.f64 13/2) 3) (exp.f64 -13/2))))) (.f64 z z)) (neg.f64 (/.f64 (.f64 (+.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 1) (sqrt.f64 13/2)) (/.f64 (pow.f64 (sqrt.f64 13/2) 2) (.f64 (exp.f64 -13/2) z))))))
(fma.f64 -1 (fma.f64 (+.f64 (.f64 -2/13 (/.f64 (.f64 (exp.f64 -13/2) (pow.f64 (.f64 (sqrt.f64 13/2) (+.f64 (neg.f64 (log.f64 13/2)) 14/13)) 2)) (sqrt.f64 13/2))) (/.f64 (exp.f64 -13/2) (/.f64 13/2 (fma.f64 (sqrt.f64 13/2) 1/2 (.f64 (sqrt.f64 13/2) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) -27/169) (-.f64 1/13 (log.f64 13/2)))))))) (.f64 z z) (.f64 (/.f64 (.f64 (sqrt.f64 13/2) (+.f64 (neg.f64 (log.f64 13/2)) 14/13)) 13/2) (.f64 (exp.f64 -13/2) z))) (/.f64 (exp.f64 -13/2) (sqrt.f64 13/2)))
(-.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 13/2)) (fma.f64 z (.f64 z (.f64 (exp.f64 -13/2) (-.f64 (/.f64 (.f64 (sqrt.f64 13/2) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) -27/169) (-.f64 15/26 (log.f64 13/2)))) 13/2) (.f64 (/.f64 (*.f64 (-.f64 14/13 (log.f64 13/2)) (-.f64 14/13 (log.f64 13/2))) (sqrt.f64 13/2)) 1)))) (/.f64 z (/.f64 (/.f64 (/.f64 13/2 (-.f64 14/13 (log.f64 13/2))) (sqrt.f64 13/2)) (exp.f64 -13/2)))))
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(+.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 13/2)) (fma.f64 -1 (.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (sqrt.f64 13/2) (fma.f64 1/2 (sqrt.f64 13/2) (.f64 (sqrt.f64 13/2) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 2) -27/169)))) (/.f64 (pow.f64 (sqrt.f64 13/2) 2) (exp.f64 -13/2))) (neg.f64 (/.f64 (pow.f64 (.f64 (+.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 1) (sqrt.f64 13/2)) 2) (/.f64 (pow.f64 (sqrt.f64 13/2) 3) (exp.f64 -13/2))))) (.f64 z z)) (.f64 -1 (+.f64 (/.f64 (.f64 (+.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 1) (sqrt.f64 13/2)) (/.f64 (pow.f64 (sqrt.f64 13/2) 2) (.f64 (exp.f64 -13/2) z))) (.f64 (fma.f64 -1 (/.f64 (.f64 (+.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 1) (sqrt.f64 13/2)) (/.f64 (pow.f64 (sqrt.f64 13/2) 3) (.f64 (exp.f64 -13/2) (fma.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (sqrt.f64 13/2) (fma.f64 1/2 (sqrt.f64 13/2) (.f64 (sqrt.f64 13/2) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 2) -27/169))))))) (fma.f64 -1 (/.f64 (.f64 (+.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 1) (sqrt.f64 13/2)) (/.f64 (sqrt.f64 13/2) (+.f64 (neg.f64 (/.f64 (pow.f64 (.f64 (+.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 1) (sqrt.f64 13/2)) 2) (/.f64 (pow.f64 (sqrt.f64 13/2) 3) (exp.f64 -13/2)))) (/.f64 (fma.f64 1/2 (sqrt.f64 13/2) (fma.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (sqrt.f64 13/2) (.f64 (sqrt.f64 13/2) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 2) -27/169)))) (/.f64 (pow.f64 (sqrt.f64 13/2) 2) (exp.f64 -13/2)))))) (/.f64 (fma.f64 (sqrt.f64 13/2) (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 3) (+.f64 82/6591 (.f64 (fma.f64 -1 (log.f64 13/2) 1/13) -27/169))) (fma.f64 1/6 (sqrt.f64 13/2) (fma.f64 1/2 (.f64 (sqrt.f64 13/2) (fma.f64 -1 (log.f64 13/2) 1/13)) (*.f64 (sqrt.f64 13/2) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 2) -27/169))))) (/.f64 (pow.f64 (sqrt.f64 13/2) 2) (exp.f64 -13/2))))) (pow.f64 z 3))))))
(+.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 13/2)) (-.f64 (neg.f64 (fma.f64 (+.f64 (.f64 -2/13 (/.f64 (.f64 (exp.f64 -13/2) (pow.f64 (.f64 (sqrt.f64 13/2) (+.f64 (neg.f64 (log.f64 13/2)) 14/13)) 2)) (sqrt.f64 13/2))) (/.f64 (exp.f64 -13/2) (/.f64 13/2 (fma.f64 (sqrt.f64 13/2) 1/2 (.f64 (sqrt.f64 13/2) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) -27/169) (-.f64 1/13 (log.f64 13/2)))))))) (.f64 z z) (.f64 (/.f64 (.f64 (sqrt.f64 13/2) (+.f64 (neg.f64 (log.f64 13/2)) 14/13)) 13/2) (.f64 (exp.f64 -13/2) z)))) (.f64 (+.f64 (.f64 -2/13 (/.f64 (.f64 (exp.f64 -13/2) (.f64 (.f64 (sqrt.f64 13/2) (+.f64 (neg.f64 (log.f64 13/2)) 14/13)) (fma.f64 (sqrt.f64 13/2) 1/2 (.f64 (sqrt.f64 13/2) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) -27/169) (-.f64 1/13 (log.f64 13/2))))))) (sqrt.f64 13/2))) (-.f64 (/.f64 (exp.f64 -13/2) (/.f64 13/2 (+.f64 (.f64 (sqrt.f64 13/2) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) -27/169) (.f64 (-.f64 1/13 (log.f64 13/2)) 1/2))) (.f64 (sqrt.f64 13/2) (+.f64 (fma.f64 1/6 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 3) (+.f64 (.f64 (log.f64 13/2) 27/169) 1/6591)) 1/6))))) (.f64 (/.f64 (.f64 (sqrt.f64 13/2) (+.f64 (neg.f64 (log.f64 13/2)) 14/13)) (sqrt.f64 13/2)) (+.f64 (.f64 -2/13 (/.f64 (.f64 (exp.f64 -13/2) (pow.f64 (.f64 (sqrt.f64 13/2) (+.f64 (neg.f64 (log.f64 13/2)) 14/13)) 2)) (sqrt.f64 13/2))) (/.f64 (exp.f64 -13/2) (/.f64 13/2 (fma.f64 (sqrt.f64 13/2) 1/2 (.f64 (sqrt.f64 13/2) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) -27/169) (-.f64 1/13 (log.f64 13/2))))))))))) (pow.f64 z 3))))
(fma.f64 -1 (fma.f64 z (.f64 z (.f64 (exp.f64 -13/2) (-.f64 (/.f64 (.f64 (sqrt.f64 13/2) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) -27/169) (-.f64 15/26 (log.f64 13/2)))) 13/2) (.f64 (/.f64 (.f64 (-.f64 14/13 (log.f64 13/2)) (-.f64 14/13 (log.f64 13/2))) (sqrt.f64 13/2)) 1)))) (fma.f64 (-.f64 (.f64 (/.f64 (exp.f64 -13/2) 13/2) (.f64 (sqrt.f64 13/2) (+.f64 (fma.f64 (-.f64 1/13 (log.f64 13/2)) 1/2 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) -27/169)) (+.f64 (fma.f64 1/6 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 3) (fma.f64 (log.f64 13/2) 27/169 -27/2197)) 787/4394)))) (.f64 (/.f64 (-.f64 14/13 (log.f64 13/2)) (/.f64 (sqrt.f64 13/2) (sqrt.f64 13/2))) (+.f64 (.f64 (/.f64 (exp.f64 -13/2) 13/2) (.f64 (sqrt.f64 13/2) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) -27/169) (-.f64 15/26 (log.f64 13/2))))) (.f64 (exp.f64 -13/2) (-.f64 (/.f64 (.f64 (sqrt.f64 13/2) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) -27/169) (-.f64 15/26 (log.f64 13/2)))) 13/2) (.f64 (/.f64 (.f64 (-.f64 14/13 (log.f64 13/2)) (-.f64 14/13 (log.f64 13/2))) (sqrt.f64 13/2)) 1)))))) (pow.f64 z 3) (/.f64 z (/.f64 (/.f64 (/.f64 13/2 (-.f64 14/13 (log.f64 13/2))) (sqrt.f64 13/2)) (exp.f64 -13/2))))) (/.f64 (exp.f64 -13/2) (sqrt.f64 13/2)))
(/.f64 (exp.f64 -13/2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)) (exp.f64 z)))
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))
(/.f64 (exp.f64 -13/2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)) (exp.f64 z)))
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))
(/.f64 (exp.f64 -13/2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)) (exp.f64 z)))
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))
(/.f64 (exp.f64 -13/2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)) (exp.f64 z)))
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))
(/.f64 (exp.f64 -13/2) (.f64 (exp.f64 z) (exp.f64 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))))
(/.f64 (exp.f64 -13/2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)) (exp.f64 z)))
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))
(/.f64 (exp.f64 -13/2) (.f64 (exp.f64 z) (exp.f64 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))))
(/.f64 (exp.f64 -13/2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)) (exp.f64 z)))
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))
(/.f64 (exp.f64 -13/2) (.f64 (exp.f64 z) (exp.f64 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))))
(/.f64 (exp.f64 -13/2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)) (exp.f64 z)))
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))
(/.f64 (exp.f64 -13/2) (.f64 (exp.f64 z) (exp.f64 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))))
(/.f64 (exp.f64 -13/2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)) (exp.f64 z)))
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 8724775023335764401/10000000000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) -8724775023335764401/10000000000000000)
(-.f64 (+.f64 (.f64 42652334381119581/40000000000000 z) (.f64 6765203681218851/10000000000000 (/.f64 1 z))) 8724775023335764401/10000000000000000)
(+.f64 (fma.f64 42652334381119581/40000000000000 z (/.f64 6765203681218851/10000000000000 z)) -8724775023335764401/10000000000000000)
(+.f64 (fma.f64 z 42652334381119581/40000000000000 (/.f64 6765203681218851/10000000000000 z)) -8724775023335764401/10000000000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z 42652334381119581/40000000000000 -8724775023335764401/10000000000000000))
(-.f64 (+.f64 (.f64 -93017903050015693/80000000000000 (pow.f64 z 2)) (+.f64 (.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 8724775023335764401/10000000000000000)
(+.f64 (fma.f64 -93017903050015693/80000000000000 (*.f64 z z) (fma.f64 42652334381119581/40000000000000 z (/.f64 6765203681218851/10000000000000 z))) -8724775023335764401/10000000000000000)
(+.f64 (fma.f64 (*.f64 z z) -93017903050015693/80000000000000 (fma.f64 z 42652334381119581/40000000000000 (/.f64 6765203681218851/10000000000000 z))) -8724775023335764401/10000000000000000)
(+.f64 (fma.f64 z 42652334381119581/40000000000000 (/.f64 6765203681218851/10000000000000 z)) (fma.f64 z (*.f64 z -93017903050015693/80000000000000) -8724775023335764401/10000000000000000))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 943522900885677/5000000000000 (/.f64 1 z))) (.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1417538204164517/5000000000000 (*.f64 z z))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))))
(-.f64 (+.f64 9999999999998099/10000000000000000 (+.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 9999999999998099/10000000000000000 (-.f64 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) (/.f64 1417538204164517/5000000000000 (*.f64 z z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 943522900885677/5000000000000 z) (-.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (/.f64 1417538204164517/5000000000000 (*.f64 z z)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 -1417538204164517/5000000000000 (*.f64 z z)))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 943522900885677/5000000000000 (/.f64 1 z))) (.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1417538204164517/5000000000000 (*.f64 z z))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))))
(-.f64 (+.f64 9999999999998099/10000000000000000 (+.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 9999999999998099/10000000000000000 (-.f64 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) (/.f64 1417538204164517/5000000000000 (*.f64 z z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 943522900885677/5000000000000 z) (-.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (/.f64 1417538204164517/5000000000000 (*.f64 z z)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 -1417538204164517/5000000000000 (*.f64 z z)))))

localize115.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
✓	0.5b	(/.f64 -883075145810703/5000000000000 (+.f64 z 3))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.0b	(/.f64 (sqrt.f64 2/13) (exp.f64 13/2))

Compiler

Compiled 263 to 220 computations (16.3% saved)

series52.0ms (0.1%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
42.0ms	z	@	0	(/.f64 -883075145810703/5000000000000 (+.f64 z 3))
5.0ms	z	@	0	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
2.0ms	z	@	-inf	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
2.0ms	z	@	inf	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
1.0ms	z	@	inf	(/.f64 -883075145810703/5000000000000 (+.f64 z 3))

rewrite110.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

475×	`add-sqr-sqrt_binary64`
452×	`add-log-exp_binary64`
451×	`add-exp-log_binary64`
451×	`log1p-expm1-u_binary64`
451×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	80
1	943	80

Stop Event

1×	node limit

Counts

3 → 26

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify101.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

731×	`associate-/r/_binary64`
514×	`associate-/l/_binary64`
416×	`fma-def_binary64`
258×	`distribute-lft-out_binary64`
252×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	99	922
1	276	878
2	877	822
3	3929	673
4	6845	671

Stop Event

1×	node limit

Counts

50 → 56

Calls

Call 1

Inputs
-294358381936901/5000000000000
(-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000)
(-.f64 (+.f64 (.f64 -294358381936901/45000000000000 (pow.f64 z 2)) (.f64 294358381936901/15000000000000 z)) 294358381936901/5000000000000)
(-.f64 (+.f64 (.f64 -294358381936901/45000000000000 (pow.f64 z 2)) (+.f64 (.f64 294358381936901/15000000000000 z) (*.f64 294358381936901/135000000000000 (pow.f64 z 3)))) 294358381936901/5000000000000)
(/.f64 -883075145810703/5000000000000 z)
(-.f64 (.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 883075145810703/5000000000000 (/.f64 1 z)))
(-.f64 (.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 7947676312296327/5000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 883075145810703/5000000000000 (/.f64 1 z))))
(-.f64 (+.f64 (.f64 23843028936888981/5000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 7947676312296327/5000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 883075145810703/5000000000000 (/.f64 1 z))))
(/.f64 -883075145810703/5000000000000 z)
(-.f64 (.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 883075145810703/5000000000000 (/.f64 1 z)))
(-.f64 (.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 7947676312296327/5000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 883075145810703/5000000000000 (/.f64 1 z))))
(-.f64 (+.f64 (.f64 23843028936888981/5000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 7947676312296327/5000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 883075145810703/5000000000000 (/.f64 1 z))))
(.f64 -28755590378125365543517613/525000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 6493630508033571946468877/344531250000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 z (sqrt.f64 2/13))) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (.f64 -28755590378125365543517613/525000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 6493630508033571946468877/344531250000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 z (sqrt.f64 2/13))) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -2938968468395073868984007209/463050000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 z 2) (sqrt.f64 2/13))) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (.f64 -28755590378125365543517613/525000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 6493630508033571946468877/344531250000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 z (sqrt.f64 2/13))) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 20729704070813637557713537427/9724050000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 z 3) (sqrt.f64 2/13))) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -2938968468395073868984007209/463050000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 z 2) (sqrt.f64 2/13))) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (.f64 -28755590378125365543517613/525000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))))))
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 -4106156171094664089637421/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 -4106156171094664089637421/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (.f64 12012712722196059946951247/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 -4106156171094664089637421/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -34822042014175317801594529/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (.f64 (exp.f64 13/2) (pow.f64 z 3))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (.f64 12012712722196059946951247/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))))))
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 -4106156171094664089637421/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 -4106156171094664089637421/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (.f64 12012712722196059946951247/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 -4106156171094664089637421/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -34822042014175317801594529/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (.f64 (exp.f64 13/2) (pow.f64 z 3))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (.f64 12012712722196059946951247/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))))))

Outputs
-294358381936901/5000000000000
(-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000)
(fma.f64 294358381936901/15000000000000 z -294358381936901/5000000000000)
(-.f64 (+.f64 (.f64 -294358381936901/45000000000000 (pow.f64 z 2)) (.f64 294358381936901/15000000000000 z)) 294358381936901/5000000000000)
(+.f64 (.f64 -294358381936901/45000000000000 (.f64 z z)) (fma.f64 294358381936901/15000000000000 z -294358381936901/5000000000000))
(fma.f64 -294358381936901/45000000000000 (*.f64 z z) (fma.f64 294358381936901/15000000000000 z -294358381936901/5000000000000))
(fma.f64 294358381936901/15000000000000 z (fma.f64 z (*.f64 z -294358381936901/45000000000000) -294358381936901/5000000000000))
(fma.f64 z (+.f64 294358381936901/15000000000000 (*.f64 z -294358381936901/45000000000000)) -294358381936901/5000000000000)
(-.f64 (+.f64 (.f64 -294358381936901/45000000000000 (pow.f64 z 2)) (+.f64 (.f64 294358381936901/15000000000000 z) (*.f64 294358381936901/135000000000000 (pow.f64 z 3)))) 294358381936901/5000000000000)
(+.f64 (fma.f64 -294358381936901/45000000000000 (.f64 z z) (fma.f64 294358381936901/15000000000000 z (.f64 294358381936901/135000000000000 (pow.f64 z 3)))) -294358381936901/5000000000000)
(fma.f64 z (*.f64 z -294358381936901/45000000000000) (fma.f64 294358381936901/15000000000000 z (fma.f64 294358381936901/135000000000000 (pow.f64 z 3) -294358381936901/5000000000000)))
(fma.f64 z (+.f64 294358381936901/15000000000000 (.f64 z (+.f64 -294358381936901/45000000000000 (.f64 z 294358381936901/135000000000000)))) -294358381936901/5000000000000)
(/.f64 -883075145810703/5000000000000 z)
(-.f64 (.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 883075145810703/5000000000000 (/.f64 1 z)))
(-.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 883075145810703/5000000000000 z))
(+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 -883075145810703/5000000000000 z))
(-.f64 (.f64 2649225437432109/5000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 7947676312296327/5000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 883075145810703/5000000000000 (/.f64 1 z))))
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(.f64 (.f64 (sqrt.f64 2/13) (/.f64 (sqrt.f64 2) (exp.f64 13/2))) (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
(+.f64 (.f64 -4106156171094664089637421/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))))
(fma.f64 -4106156171094664089637421/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) z))) (.f64 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (sqrt.f64 (PI.f64))) 9999999999998099/10000000000000000))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) 9999999999998099/10000000000000000) (.f64 -4106156171094664089637421/25000000000000000000000 (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (sqrt.f64 2) z)))))
(.f64 (sqrt.f64 (PI.f64)) (fma.f64 (.f64 (sqrt.f64 2/13) (/.f64 (sqrt.f64 2) (exp.f64 13/2))) 9999999999998099/10000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) -4106156171094664089637421/25000000000000000000000))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (*.f64 (sqrt.f64 2/13) (sqrt.f64 (PI.f64)))) (+.f64 (/.f64 -4106156171094664089637421/25000000000000000000000 z) 9999999999998099/10000000000000000))
(+.f64 (.f64 -4106156171094664089637421/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (.f64 12012712722196059946951247/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64))))))
(fma.f64 -4106156171094664089637421/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) z))) (fma.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (sqrt.f64 (PI.f64))) (.f64 12012712722196059946951247/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (.f64 z z))))))
(fma.f64 -4106156171094664089637421/25000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (/.f64 (sqrt.f64 (PI.f64)) z)) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 12012712722196059946951247/25000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (.f64 z z)))) (.f64 (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) 9999999999998099/10000000000000000))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) -4106156171094664089637421/25000000000000000000000)) (fma.f64 (.f64 (sqrt.f64 2/13) (/.f64 (sqrt.f64 2) (exp.f64 13/2))) 9999999999998099/10000000000000000 (.f64 12012712722196059946951247/25000000000000000000000 (.f64 (/.f64 (sqrt.f64 2/13) z) (/.f64 (sqrt.f64 2) (*.f64 z (exp.f64 13/2))))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (.f64 (sqrt.f64 2/13) 9999999999998099/10000000000000000)) (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) (+.f64 -4106156171094664089637421/25000000000000000000000 (/.f64 12012712722196059946951247/25000000000000000000000 z)))))
(+.f64 (.f64 -4106156171094664089637421/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -34822042014175317801594529/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (.f64 (exp.f64 13/2) (pow.f64 z 3))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (.f64 12012712722196059946951247/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))))))
(fma.f64 -4106156171094664089637421/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) z))) (fma.f64 -34822042014175317801594529/25000000000000000000000 (/.f64 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (sqrt.f64 (PI.f64))) (.f64 (pow.f64 z 3) (exp.f64 13/2))) (fma.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (sqrt.f64 (PI.f64))) (.f64 12012712722196059946951247/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (*.f64 z z)))))))
(+.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 12012712722196059946951247/25000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (.f64 z z)))) (.f64 (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) 9999999999998099/10000000000000000))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 -4106156171094664089637421/25000000000000000000000 (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (sqrt.f64 2) z))) (.f64 -34822042014175317801594529/25000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (pow.f64 z 3)))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (fma.f64 (.f64 (sqrt.f64 2/13) (/.f64 (sqrt.f64 2) (exp.f64 13/2))) 9999999999998099/10000000000000000 (.f64 12012712722196059946951247/25000000000000000000000 (.f64 (/.f64 (sqrt.f64 2/13) z) (/.f64 (sqrt.f64 2) (.f64 z (exp.f64 13/2)))))) (fma.f64 -4106156171094664089637421/25000000000000000000000 (.f64 (sqrt.f64 2/13) (/.f64 (sqrt.f64 2) (.f64 z (exp.f64 13/2)))) (.f64 -34822042014175317801594529/25000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (pow.f64 z 3)))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 z (/.f64 z (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))) (+.f64 12012712722196059946951247/25000000000000000000000 (/.f64 -34822042014175317801594529/25000000000000000000000 z))) (.f64 (*.f64 (sqrt.f64 2/13) (/.f64 (sqrt.f64 2) (exp.f64 13/2))) (+.f64 (/.f64 -4106156171094664089637421/25000000000000000000000 z) 9999999999998099/10000000000000000))))

localize306.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.8b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.1b	(exp.f64 (+.f64 z 13/2))
✓	2.2b	(/.f64 (pow.f64 (+.f64 z 13/2) z) (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) -1/2)))

Compiler

Compiled 423 to 341 computations (19.4% saved)

series7.0ms (0%)

Counts

1 → 4

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

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

2.0ms

-inf

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

2.0ms

inf

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

rewrite66.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

583×	`log-prod_binary64`
315×	`pow-prod-down_binary64`
299×	`pow2_binary64`
248×	`pow-unpow_binary64`
246×	`prod-diff_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	233	23
2	3235	21

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 1 (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (-.f64 z 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 1 (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (-.f64 z 1/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 1 (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (-.f64 z 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 1 (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (-.f64 z 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 1 (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (-.f64 z 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (-.f64 z 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 z 13/2) z) (/.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 (+.f64 z 13/2))))))) 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(+.f64 z 13/2) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (-.f64 z 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) (-.f64 z 1/2))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) (-.f64 z 1/2))) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) (-.f64 z 1/2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) (-.f64 z 1/2))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) (-.f64 z 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (*.f64 z 3)) (pow.f64 (*.f64 (exp.f64 (+.f64 z 13/2)) (sqrt.f64 (+.f64 z 13/2))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) (-.f64 z 1/2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (+.f64 z 13/2) z) (*.f64 (exp.f64 (+.f64 z 13/2)) (neg.f64 (sqrt.f64 (+.f64 z 13/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) (-.f64 z 1/2))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 1 (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (-.f64 z 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (-.f64 z 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) (-.f64 z 1/2))) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (*.f64 z 3)) (pow.f64 (*.f64 (exp.f64 (+.f64 z 13/2)) (sqrt.f64 (+.f64 z 13/2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 1 (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (-.f64 z 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (-.f64 z 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (-.f64 (+.f64 z 13/2) (log.f64 (pow.f64 (+.f64 z 13/2) (-.f64 z 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (-.f64 (+.f64 z 13/2) (log.f64 (pow.f64 (+.f64 z 13/2) (-.f64 z 1/2))))) 1))))))

simplify88.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

490×	`associate-*l/_binary64`
433×	`associate-*r/_binary64`
337×	`associate-/l*_binary64`
287×	`sub-neg_binary64`
279×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	524
1	259	507
2	822	462
3	3986	404

Stop Event

1×	node limit

Counts

53 → 56

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 2/13) (exp.f64 13/2))
(+.f64 (.f64 (-.f64 (.f64 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (/.f64 1 (exp.f64 13/2))) (sqrt.f64 2/13)) (.f64 2/169 (/.f64 1 (.f64 (exp.f64 13/2) (sqrt.f64 2/13))))) z) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))
(+.f64 (.f64 (-.f64 (.f64 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (/.f64 1 (exp.f64 13/2))) (sqrt.f64 2/13)) (.f64 2/169 (/.f64 1 (.f64 (exp.f64 13/2) (sqrt.f64 2/13))))) z) (+.f64 (.f64 (+.f64 (.f64 -2/169 (/.f64 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (/.f64 1 (exp.f64 13/2))) (sqrt.f64 2/13))) (+.f64 (.f64 (sqrt.f64 2/13) (-.f64 (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 13/2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 13/2) 2) (exp.f64 13/2))) (.f64 2/13 (/.f64 1 (exp.f64 13/2))))) (/.f64 (log.f64 13/2) (exp.f64 13/2)))) (.f64 1/2 (/.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) (.f64 (exp.f64 13/2) (sqrt.f64 2/13)))))) (pow.f64 z 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(+.f64 (.f64 (-.f64 (.f64 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (/.f64 1 (exp.f64 13/2))) (sqrt.f64 2/13)) (.f64 2/169 (/.f64 1 (.f64 (exp.f64 13/2) (sqrt.f64 2/13))))) z) (+.f64 (.f64 (+.f64 (.f64 -2/169 (/.f64 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (/.f64 1 (exp.f64 13/2))) (sqrt.f64 2/13))) (+.f64 (.f64 (sqrt.f64 2/13) (-.f64 (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 13/2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 13/2) 2) (exp.f64 13/2))) (.f64 2/13 (/.f64 1 (exp.f64 13/2))))) (/.f64 (log.f64 13/2) (exp.f64 13/2)))) (.f64 1/2 (/.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) (.f64 (exp.f64 13/2) (sqrt.f64 2/13)))))) (pow.f64 z 2)) (+.f64 (.f64 (+.f64 (.f64 (sqrt.f64 2/13) (-.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 13/2) 3) (exp.f64 13/2))) (+.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (.f64 2/13 (/.f64 (log.f64 13/2) (exp.f64 13/2))))) (+.f64 (.f64 1/2 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (/.f64 1 (exp.f64 13/2)))) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 13/2))) (+.f64 (.f64 181/1014 (/.f64 1 (exp.f64 13/2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 13/2) 2) (exp.f64 13/2))) (.f64 2/13 (/.f64 1 (exp.f64 13/2))))))))) (+.f64 (.f64 -2/169 (/.f64 (-.f64 (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 13/2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 13/2) 2) (exp.f64 13/2))) (.f64 2/13 (/.f64 1 (exp.f64 13/2))))) (/.f64 (log.f64 13/2) (exp.f64 13/2))) (sqrt.f64 2/13))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (/.f64 1 (exp.f64 13/2)))) (sqrt.f64 2/13))) (.f64 -1/2 (/.f64 (+.f64 16/28561 (.f64 -2/169 (/.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) (pow.f64 (sqrt.f64 2/13) 2)))) (.f64 (exp.f64 13/2) (sqrt.f64 2/13))))))) (pow.f64 z 3)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))

Outputs
(/.f64 (sqrt.f64 2/13) (exp.f64 13/2))
(+.f64 (.f64 (-.f64 (.f64 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (/.f64 1 (exp.f64 13/2))) (sqrt.f64 2/13)) (.f64 2/169 (/.f64 1 (.f64 (exp.f64 13/2) (sqrt.f64 2/13))))) z) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))
(fma.f64 (fma.f64 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (exp.f64 -13/2)) (sqrt.f64 2/13) (neg.f64 (/.f64 2/169 (*.f64 (sqrt.f64 2/13) (exp.f64 13/2))))) z (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))
(fma.f64 (fma.f64 (sqrt.f64 2/13) (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (exp.f64 -13/2)) (*.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) -2/169)) z (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))
(fma.f64 (fma.f64 (sqrt.f64 2/13) (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (exp.f64 -13/2)) (/.f64 (exp.f64 -13/2) (/.f64 (sqrt.f64 2/13) -2/169))) z (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))
(+.f64 (.f64 (-.f64 (.f64 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (/.f64 1 (exp.f64 13/2))) (sqrt.f64 2/13)) (.f64 2/169 (/.f64 1 (.f64 (exp.f64 13/2) (sqrt.f64 2/13))))) z) (+.f64 (.f64 (+.f64 (.f64 -2/169 (/.f64 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (/.f64 1 (exp.f64 13/2))) (sqrt.f64 2/13))) (+.f64 (.f64 (sqrt.f64 2/13) (-.f64 (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 13/2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 13/2) 2) (exp.f64 13/2))) (.f64 2/13 (/.f64 1 (exp.f64 13/2))))) (/.f64 (log.f64 13/2) (exp.f64 13/2)))) (.f64 1/2 (/.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) (.f64 (exp.f64 13/2) (sqrt.f64 2/13)))))) (pow.f64 z 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(fma.f64 (fma.f64 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (exp.f64 -13/2)) (sqrt.f64 2/13) (neg.f64 (/.f64 2/169 (.f64 (sqrt.f64 2/13) (exp.f64 13/2))))) z (fma.f64 (fma.f64 -2/169 (/.f64 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (exp.f64 -13/2)) (sqrt.f64 2/13)) (fma.f64 (sqrt.f64 2/13) (-.f64 (fma.f64 1/2 (exp.f64 -13/2) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 13/2) 2) (exp.f64 13/2)) (.f64 2/13 (exp.f64 -13/2)))) (/.f64 (log.f64 13/2) (exp.f64 13/2))) (.f64 1/2 (/.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) (.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))) (*.f64 z z) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(fma.f64 (fma.f64 (sqrt.f64 2/13) (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (exp.f64 -13/2)) (.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) -2/169)) z (fma.f64 (fma.f64 -2/169 (/.f64 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (exp.f64 -13/2)) (sqrt.f64 2/13)) (fma.f64 (sqrt.f64 2/13) (-.f64 (fma.f64 (exp.f64 -13/2) 1/2 (fma.f64 2/13 (exp.f64 -13/2) (.f64 1/2 (/.f64 (pow.f64 (log.f64 13/2) 2) (exp.f64 13/2))))) (/.f64 (log.f64 13/2) (exp.f64 13/2))) (.f64 1/2 (/.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) (.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))) (*.f64 z z) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(fma.f64 (fma.f64 (sqrt.f64 2/13) (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (exp.f64 -13/2)) (.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) -2/169)) z (fma.f64 z (.f64 z (fma.f64 -2/169 (/.f64 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (exp.f64 -13/2)) (sqrt.f64 2/13)) (fma.f64 (sqrt.f64 2/13) (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 13/2) 2) (exp.f64 13/2)) (.f64 (exp.f64 -13/2) 17/26)) (/.f64 (log.f64 13/2) (exp.f64 13/2))) (.f64 1/2 (/.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) (*.f64 (sqrt.f64 2/13) (exp.f64 13/2))))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(fma.f64 z (.f64 z (fma.f64 (sqrt.f64 2/13) (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 13/2) 2) (exp.f64 13/2)) (.f64 (exp.f64 -13/2) 17/26)) (/.f64 (log.f64 13/2) (exp.f64 13/2))) (fma.f64 -2/169 (/.f64 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (exp.f64 -13/2)) (sqrt.f64 2/13)) (*.f64 (exp.f64 -13/2) (/.f64 3/2197 (sqrt.f64 2/13)))))) (fma.f64 (fma.f64 (sqrt.f64 2/13) (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (exp.f64 -13/2)) (/.f64 (exp.f64 -13/2) (/.f64 (sqrt.f64 2/13) -2/169))) z (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(+.f64 (.f64 (-.f64 (.f64 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (/.f64 1 (exp.f64 13/2))) (sqrt.f64 2/13)) (.f64 2/169 (/.f64 1 (.f64 (exp.f64 13/2) (sqrt.f64 2/13))))) z) (+.f64 (.f64 (+.f64 (.f64 -2/169 (/.f64 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (/.f64 1 (exp.f64 13/2))) (sqrt.f64 2/13))) (+.f64 (.f64 (sqrt.f64 2/13) (-.f64 (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 13/2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 13/2) 2) (exp.f64 13/2))) (.f64 2/13 (/.f64 1 (exp.f64 13/2))))) (/.f64 (log.f64 13/2) (exp.f64 13/2)))) (.f64 1/2 (/.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) (.f64 (exp.f64 13/2) (sqrt.f64 2/13)))))) (pow.f64 z 2)) (+.f64 (.f64 (+.f64 (.f64 (sqrt.f64 2/13) (-.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 13/2) 3) (exp.f64 13/2))) (+.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (.f64 2/13 (/.f64 (log.f64 13/2) (exp.f64 13/2))))) (+.f64 (.f64 1/2 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (/.f64 1 (exp.f64 13/2)))) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 13/2))) (+.f64 (.f64 181/1014 (/.f64 1 (exp.f64 13/2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 13/2) 2) (exp.f64 13/2))) (.f64 2/13 (/.f64 1 (exp.f64 13/2))))))))) (+.f64 (.f64 -2/169 (/.f64 (-.f64 (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 13/2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 13/2) 2) (exp.f64 13/2))) (.f64 2/13 (/.f64 1 (exp.f64 13/2))))) (/.f64 (log.f64 13/2) (exp.f64 13/2))) (sqrt.f64 2/13))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (/.f64 1 (exp.f64 13/2)))) (sqrt.f64 2/13))) (.f64 -1/2 (/.f64 (+.f64 16/28561 (.f64 -2/169 (/.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) (pow.f64 (sqrt.f64 2/13) 2)))) (.f64 (exp.f64 13/2) (sqrt.f64 2/13))))))) (pow.f64 z 3)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))
(fma.f64 (fma.f64 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (exp.f64 -13/2)) (sqrt.f64 2/13) (neg.f64 (/.f64 2/169 (.f64 (sqrt.f64 2/13) (exp.f64 13/2))))) z (fma.f64 (fma.f64 -2/169 (/.f64 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (exp.f64 -13/2)) (sqrt.f64 2/13)) (fma.f64 (sqrt.f64 2/13) (-.f64 (fma.f64 1/2 (exp.f64 -13/2) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 13/2) 2) (exp.f64 13/2)) (.f64 2/13 (exp.f64 -13/2)))) (/.f64 (log.f64 13/2) (exp.f64 13/2))) (.f64 1/2 (/.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) (.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))) (.f64 z z) (fma.f64 (fma.f64 (sqrt.f64 2/13) (-.f64 (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 13/2) 3) (exp.f64 13/2)) (.f64 15/13 (/.f64 (log.f64 13/2) (exp.f64 13/2)))) (fma.f64 1/2 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (exp.f64 -13/2)) (fma.f64 1/2 (exp.f64 -13/2) (fma.f64 181/1014 (exp.f64 -13/2) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 13/2) 2) (exp.f64 13/2)) (.f64 2/13 (exp.f64 -13/2))))))) (fma.f64 -2/169 (/.f64 (-.f64 (fma.f64 1/2 (exp.f64 -13/2) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 13/2) 2) (exp.f64 13/2)) (.f64 2/13 (exp.f64 -13/2)))) (/.f64 (log.f64 13/2) (exp.f64 13/2))) (sqrt.f64 2/13)) (fma.f64 1/2 (/.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) (/.f64 (sqrt.f64 2/13) (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (exp.f64 -13/2)))) (.f64 -1/2 (/.f64 (+.f64 16/28561 (.f64 -2/169 (/.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) (pow.f64 (sqrt.f64 2/13) 2)))) (*.f64 (sqrt.f64 2/13) (exp.f64 13/2))))))) (pow.f64 z 3) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))
(fma.f64 (fma.f64 (sqrt.f64 2/13) (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (exp.f64 -13/2)) (.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) -2/169)) z (fma.f64 (fma.f64 -2/169 (/.f64 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (exp.f64 -13/2)) (sqrt.f64 2/13)) (fma.f64 (sqrt.f64 2/13) (-.f64 (fma.f64 (exp.f64 -13/2) 1/2 (fma.f64 2/13 (exp.f64 -13/2) (.f64 1/2 (/.f64 (pow.f64 (log.f64 13/2) 2) (exp.f64 13/2))))) (/.f64 (log.f64 13/2) (exp.f64 13/2))) (.f64 1/2 (/.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) (.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))) (.f64 z z) (fma.f64 (fma.f64 (sqrt.f64 2/13) (-.f64 (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 13/2) 3) (exp.f64 13/2)) (.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) 15/13)) (fma.f64 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (exp.f64 -13/2)) 1/2 (+.f64 (fma.f64 2/13 (exp.f64 -13/2) (.f64 1/2 (/.f64 (pow.f64 (log.f64 13/2) 2) (exp.f64 13/2)))) (.f64 (exp.f64 -13/2) 344/507)))) (fma.f64 -2/169 (/.f64 (-.f64 (fma.f64 (exp.f64 -13/2) 1/2 (fma.f64 2/13 (exp.f64 -13/2) (.f64 1/2 (/.f64 (pow.f64 (log.f64 13/2) 2) (exp.f64 13/2))))) (/.f64 (log.f64 13/2) (exp.f64 13/2))) (sqrt.f64 2/13)) (fma.f64 1/2 (.f64 (/.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) (sqrt.f64 2/13)) (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (exp.f64 -13/2))) (.f64 -1/2 (/.f64 (fma.f64 -2/169 (-.f64 4/169 (/.f64 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2) 2/13)) 16/28561) (.f64 (sqrt.f64 2/13) (exp.f64 13/2))))))) (pow.f64 z 3) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))
(fma.f64 (fma.f64 (sqrt.f64 2/13) (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (exp.f64 -13/2)) (.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) -2/169)) z (fma.f64 z (.f64 z (fma.f64 -2/169 (/.f64 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (exp.f64 -13/2)) (sqrt.f64 2/13)) (fma.f64 (sqrt.f64 2/13) (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 13/2) 2) (exp.f64 13/2)) (.f64 (exp.f64 -13/2) 17/26)) (/.f64 (log.f64 13/2) (exp.f64 13/2))) (.f64 1/2 (/.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) (.f64 (sqrt.f64 2/13) (exp.f64 13/2))))))) (fma.f64 (fma.f64 (sqrt.f64 2/13) (-.f64 (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 13/2) 3) (exp.f64 13/2)) (.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) 15/13)) (fma.f64 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (exp.f64 -13/2)) 1/2 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 13/2) 2) (exp.f64 13/2))) (.f64 (exp.f64 -13/2) 422/507)))) (fma.f64 -2/169 (/.f64 (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 13/2) 2) (exp.f64 13/2)) (.f64 (exp.f64 -13/2) 17/26)) (/.f64 (log.f64 13/2) (exp.f64 13/2))) (sqrt.f64 2/13)) (fma.f64 1/2 (.f64 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (exp.f64 -13/2)) (-.f64 (/.f64 8/2197 (sqrt.f64 2/13)) (/.f64 (/.f64 4/28561 (sqrt.f64 2/13)) 2/13))) (/.f64 (/.f64 -5/28561 (sqrt.f64 2/13)) (exp.f64 13/2))))) (pow.f64 z 3) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))
(fma.f64 (fma.f64 (sqrt.f64 2/13) (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (exp.f64 -13/2)) (/.f64 (exp.f64 -13/2) (/.f64 (sqrt.f64 2/13) -2/169))) z (fma.f64 (+.f64 (/.f64 (/.f64 -5/28561 (sqrt.f64 2/13)) (exp.f64 13/2)) (fma.f64 (sqrt.f64 2/13) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 13/2) 3) (exp.f64 13/2)) (-.f64 (.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) 17/26) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 13/2) 2) (exp.f64 13/2)) (.f64 (exp.f64 -13/2) 337/1014)))) (fma.f64 -2/169 (/.f64 (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 13/2) 2) (exp.f64 13/2)) (.f64 (exp.f64 -13/2) 17/26)) (/.f64 (log.f64 13/2) (exp.f64 13/2))) (sqrt.f64 2/13)) (.f64 (/.f64 3/2197 (sqrt.f64 2/13)) (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (exp.f64 -13/2)))))) (pow.f64 z 3) (fma.f64 z (.f64 z (fma.f64 (sqrt.f64 2/13) (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 13/2) 2) (exp.f64 13/2)) (.f64 (exp.f64 -13/2) 17/26)) (/.f64 (log.f64 13/2) (exp.f64 13/2))) (fma.f64 -2/169 (/.f64 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (exp.f64 -13/2)) (sqrt.f64 2/13)) (*.f64 (exp.f64 -13/2) (/.f64 3/2197 (sqrt.f64 2/13)))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))

localize241.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.1b	(exp.f64 (+.f64 z 13/2))
	2.1b	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))

Compiler

Compiled 448 to 365 computations (18.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite126.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

911×	`fma-def_binary64`
472×	`fma-neg_binary64`
348×	`log1p-udef_binary64`
347×	`expm1-udef_binary64`
204×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	25
1	397	25
2	6023	25

Stop Event

1×	node limit

Counts

1 → 95

Calls

Call 1

Inputs

(+.f64 (+.f64 9999999999998099/10000000000000000 (/.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 (exp.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (-.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (/.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 2) (-.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))) (#(struct:change #<rule 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((x fma.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (pow.f64 z 3))) (-.f64 (fma.f64 z z 1) z) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -3147848041806007/2500000000000 (fma.f64 z z -1)) (+.f64 z -1) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))))))

simplify49.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

606×	`cancel-sign-sub-inv_binary64`
536×	`unswap-sqr_binary64`
507×	`fma-neg_binary64`
452×	`associate-/r/_binary64`
349×	`associate-/r*_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	35	138
1	93	138
2	200	138
3	463	135
4	1156	135
5	3890	131

Stop Event

1×	node limit

Counts

107 → 109

Calls

Call 1

Inputs
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 8724775023335764401/10000000000000000)
(-.f64 (+.f64 (.f64 42652334381119581/40000000000000 z) (.f64 6765203681218851/10000000000000 (/.f64 1 z))) 8724775023335764401/10000000000000000)
(-.f64 (+.f64 (.f64 -93017903050015693/80000000000000 (pow.f64 z 2)) (+.f64 (.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 8724775023335764401/10000000000000000)
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 943522900885677/5000000000000 (/.f64 1 z))) (.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 9999999999998099/10000000000000000 (+.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))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 943522900885677/5000000000000 (/.f64 1 z))) (.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 9999999999998099/10000000000000000 (+.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))))

Outputs
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 8724775023335764401/10000000000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) -8724775023335764401/10000000000000000)
(-.f64 (+.f64 (.f64 42652334381119581/40000000000000 z) (.f64 6765203681218851/10000000000000 (/.f64 1 z))) 8724775023335764401/10000000000000000)
(+.f64 (fma.f64 42652334381119581/40000000000000 z (/.f64 6765203681218851/10000000000000 z)) -8724775023335764401/10000000000000000)
(+.f64 (fma.f64 z 42652334381119581/40000000000000 (/.f64 6765203681218851/10000000000000 z)) -8724775023335764401/10000000000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z 42652334381119581/40000000000000 -8724775023335764401/10000000000000000))
(-.f64 (+.f64 (.f64 -93017903050015693/80000000000000 (pow.f64 z 2)) (+.f64 (.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 8724775023335764401/10000000000000000)
(+.f64 (fma.f64 -93017903050015693/80000000000000 (*.f64 z z) (fma.f64 42652334381119581/40000000000000 z (/.f64 6765203681218851/10000000000000 z))) -8724775023335764401/10000000000000000)
(+.f64 (fma.f64 -93017903050015693/80000000000000 (*.f64 z z) (fma.f64 z 42652334381119581/40000000000000 (/.f64 6765203681218851/10000000000000 z))) -8724775023335764401/10000000000000000)
(+.f64 (fma.f64 z 42652334381119581/40000000000000 (/.f64 6765203681218851/10000000000000 z)) (fma.f64 z (*.f64 z -93017903050015693/80000000000000) -8724775023335764401/10000000000000000))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z (fma.f64 z -93017903050015693/80000000000000 42652334381119581/40000000000000) -8724775023335764401/10000000000000000))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 943522900885677/5000000000000 (/.f64 1 z))) (.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1417538204164517/5000000000000 (*.f64 z z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 (/.f64 1417538204164517/5000000000000 z) z)))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (+.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 9999999999998099/10000000000000000 (-.f64 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) (/.f64 1417538204164517/5000000000000 (*.f64 z z))))
(+.f64 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) (-.f64 9999999999998099/10000000000000000 (/.f64 1417538204164517/5000000000000 (*.f64 z z))))
(+.f64 (/.f64 943522900885677/5000000000000 z) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) (/.f64 1417538204164517/5000000000000 (*.f64 z z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 943522900885677/5000000000000 z) (+.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z)))))
(fma.f64 (/.f64 1 (*.f64 z z)) (+.f64 -1417538204164517/5000000000000 (/.f64 1141346561492631/625000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 943522900885677/5000000000000 (/.f64 1 z))) (.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1417538204164517/5000000000000 (*.f64 z z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 (/.f64 1417538204164517/5000000000000 z) z)))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (+.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 9999999999998099/10000000000000000 (-.f64 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) (/.f64 1417538204164517/5000000000000 (*.f64 z z))))
(+.f64 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) (-.f64 9999999999998099/10000000000000000 (/.f64 1417538204164517/5000000000000 (*.f64 z z))))
(+.f64 (/.f64 943522900885677/5000000000000 z) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) (/.f64 1417538204164517/5000000000000 (*.f64 z z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 943522900885677/5000000000000 z) (+.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z)))))
(fma.f64 (/.f64 1 (*.f64 z z)) (+.f64 -1417538204164517/5000000000000 (/.f64 1141346561492631/625000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)))

localize457.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.4b	(pow.f64 (E.f64) (/.f64 169/4 (+.f64 z -13/2)))
✓	2.1b	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 (pow.f64 (E.f64) (/.f64 (*.f64 z z) (+.f64 z -13/2))) (pow.f64 (E.f64) (/.f64 169/4 (+.f64 z -13/2)))))
✓	2.7b	(pow.f64 (E.f64) (/.f64 (*.f64 z z) (+.f64 z -13/2)))

Compiler

Compiled 490 to 374 computations (23.7% saved)

series17.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	z	@	-inf	(pow.f64 (E.f64) (/.f64 (*.f64 z z) (+.f64 z -13/2)))
3.0ms	z	@	0	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 (pow.f64 (E.f64) (/.f64 (*.f64 z z) (+.f64 z -13/2))) (pow.f64 (E.f64) (/.f64 169/4 (+.f64 z -13/2)))))
3.0ms	z	@	-inf	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 (pow.f64 (E.f64) (/.f64 (*.f64 z z) (+.f64 z -13/2))) (pow.f64 (E.f64) (/.f64 169/4 (+.f64 z -13/2)))))
2.0ms	z	@	inf	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 (pow.f64 (E.f64) (/.f64 (*.f64 z z) (+.f64 z -13/2))) (pow.f64 (E.f64) (/.f64 169/4 (+.f64 z -13/2)))))
1.0ms	z	@	0	(pow.f64 (E.f64) (/.f64 (*.f64 z z) (+.f64 z -13/2)))

rewrite145.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

519×	`fma-def_binary64`
395×	`fma-neg_binary64`
356×	`expm1-udef_binary64`
356×	`log1p-udef_binary64`
216×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	60
1	432	39
2	6204	39

Stop Event

1×	node limit

Counts

3 → 80

Calls

Call 1

Inputs

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

(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 (pow.f64 (E.f64) (/.f64 (*.f64 z z) (+.f64 z -13/2))) (pow.f64 (E.f64) (/.f64 169/4 (+.f64 z -13/2)))))

(pow.f64 (E.f64) (/.f64 169/4 (+.f64 z -13/2)))

Outputs

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

((#(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 z 13/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (/.f64 169/4 (+.f64 z -13/2))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (/.f64 z (/.f64 (+.f64 z -13/2) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 *.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 (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) (pow.f64 (cbrt.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 *.f64 (pow.f64 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simplify114.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

859×	`fma-def_binary64`
459×	`associate-l_binary64`
419×	`associate-r_binary64`
315×	`associate-+l+_binary64`
258×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	143	1397
1	434	1270
2	1475	974
3	7902	974

Stop Event

1×	node limit

Counts

116 → 127

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -2/13 (pow.f64 z 2)))
(+.f64 (.f64 -4/169 (pow.f64 z 3)) (+.f64 1 (.f64 -2/13 (pow.f64 z 2))))
(+.f64 (.f64 -4/169 (pow.f64 z 3)) (+.f64 1 (+.f64 (.f64 -2/13 (pow.f64 z 2)) (*.f64 18/2197 (pow.f64 z 4)))))
(exp.f64 (/.f64 (pow.f64 z 2) (-.f64 z 13/2)))
(exp.f64 (/.f64 (pow.f64 z 2) (-.f64 z 13/2)))
(exp.f64 (/.f64 (pow.f64 z 2) (-.f64 z 13/2)))
(exp.f64 (/.f64 (pow.f64 z 2) (-.f64 z 13/2)))
(exp.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (+.f64 (.f64 -1 z) 13/2))))
(exp.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (+.f64 (.f64 -1 z) 13/2))))
(exp.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (+.f64 (.f64 -1 z) 13/2))))
(exp.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (+.f64 (.f64 -1 z) 13/2))))
(*.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 9/26 (.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 -2/13 (.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 (sqrt.f64 2/13) (exp.f64 -13/2))))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 -37/1014 (.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 9/26 (.f64 (-.f64 (log.f64 13/2) 1/13) (.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 (.f64 -2/13 (+.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 -4/169 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))))) (pow.f64 z 3)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 9/26 (.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 -2/13 (.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 (sqrt.f64 2/13) (exp.f64 -13/2)))))
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (/.f64 (pow.f64 z 2) (-.f64 z 13/2))))
(+.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (/.f64 (pow.f64 z 2) (-.f64 z 13/2)))) (.f64 169/4 (/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (.f64 (exp.f64 (/.f64 (pow.f64 z 2) (-.f64 z 13/2))) z))))
(+.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (/.f64 (pow.f64 z 2) (-.f64 z 13/2)))) (+.f64 (.f64 37349/32 (/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (.f64 (exp.f64 (/.f64 (pow.f64 z 2) (-.f64 z 13/2))) (pow.f64 z 2)))) (.f64 169/4 (/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (.f64 (exp.f64 (/.f64 (pow.f64 z 2) (-.f64 z 13/2))) z)))))
(+.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (/.f64 (pow.f64 z 2) (-.f64 z 13/2)))) (+.f64 (.f64 37349/32 (/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (.f64 (exp.f64 (/.f64 (pow.f64 z 2) (-.f64 z 13/2))) (pow.f64 z 2)))) (+.f64 (.f64 9967789/384 (/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (.f64 (exp.f64 (/.f64 (pow.f64 z 2) (-.f64 z 13/2))) (pow.f64 z 3)))) (.f64 169/4 (/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (.f64 (exp.f64 (/.f64 (pow.f64 z 2) (-.f64 z 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 -1 (/.f64 (pow.f64 z 2) (+.f64 (.f64 -1 z) 13/2)))))
(+.f64 (.f64 169/4 (/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (.f64 z (exp.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (+.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 -1 (/.f64 (pow.f64 z 2) (+.f64 (.f64 -1 z) 13/2))))))
(+.f64 (.f64 37349/32 (/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (.f64 (pow.f64 z 2) (exp.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (+.f64 (.f64 -1 z) 13/2))))))) (+.f64 (.f64 169/4 (/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (.f64 z (exp.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (+.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 -1 (/.f64 (pow.f64 z 2) (+.f64 (.f64 -1 z) 13/2)))))))
(+.f64 (.f64 37349/32 (/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (.f64 (pow.f64 z 2) (exp.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (+.f64 (.f64 -1 z) 13/2))))))) (+.f64 (.f64 169/4 (/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (.f64 z (exp.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (+.f64 (.f64 -1 z) 13/2))))))) (+.f64 (.f64 9967789/384 (/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (.f64 (pow.f64 z 3) (exp.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (+.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 -1 (/.f64 (pow.f64 z 2) (+.f64 (.f64 -1 z) 13/2))))))))
(exp.f64 -13/2)
(+.f64 (.f64 -1 (.f64 z (exp.f64 -13/2))) (exp.f64 -13/2))
(+.f64 (.f64 9/26 (.f64 (pow.f64 z 2) (exp.f64 -13/2))) (+.f64 (.f64 -1 (.f64 z (exp.f64 -13/2))) (exp.f64 -13/2)))
(+.f64 (.f64 -37/1014 (.f64 (pow.f64 z 3) (exp.f64 -13/2))) (+.f64 (.f64 9/26 (.f64 (pow.f64 z 2) (exp.f64 -13/2))) (+.f64 (.f64 -1 (.f64 z (exp.f64 -13/2))) (exp.f64 -13/2))))
1
(+.f64 1 (*.f64 169/4 (/.f64 1 z)))
(+.f64 (.f64 169/4 (/.f64 1 z)) (+.f64 (.f64 37349/32 (/.f64 1 (pow.f64 z 2))) 1))
(+.f64 (.f64 169/4 (/.f64 1 z)) (+.f64 (.f64 37349/32 (/.f64 1 (pow.f64 z 2))) (+.f64 1 (*.f64 9967789/384 (/.f64 1 (pow.f64 z 3))))))
1
(+.f64 1 (*.f64 169/4 (/.f64 1 z)))
(+.f64 (.f64 169/4 (/.f64 1 z)) (+.f64 (.f64 37349/32 (/.f64 1 (pow.f64 z 2))) 1))
(+.f64 (.f64 169/4 (/.f64 1 z)) (+.f64 (.f64 37349/32 (/.f64 1 (pow.f64 z 2))) (+.f64 1 (*.f64 9967789/384 (/.f64 1 (pow.f64 z 3))))))

Outputs
1
(+.f64 1 (*.f64 -2/13 (pow.f64 z 2)))
(+.f64 1 (.f64 -2/13 (.f64 z z)))
(fma.f64 -2/13 (*.f64 z z) 1)
(+.f64 (.f64 -4/169 (pow.f64 z 3)) (+.f64 1 (.f64 -2/13 (pow.f64 z 2))))
(fma.f64 -4/169 (pow.f64 z 3) (+.f64 1 (.f64 -2/13 (.f64 z z))))
(fma.f64 -4/169 (pow.f64 z 3) (fma.f64 -2/13 (*.f64 z z) 1))
(fma.f64 -2/13 (*.f64 z z) (fma.f64 -4/169 (pow.f64 z 3) 1))
(+.f64 (.f64 -4/169 (pow.f64 z 3)) (+.f64 1 (+.f64 (.f64 -2/13 (pow.f64 z 2)) (*.f64 18/2197 (pow.f64 z 4)))))
(fma.f64 -4/169 (pow.f64 z 3) (+.f64 1 (fma.f64 -2/13 (.f64 z z) (.f64 18/2197 (pow.f64 z 4)))))
(+.f64 (fma.f64 18/2197 (pow.f64 z 4) (.f64 -2/13 (.f64 z z))) (fma.f64 -4/169 (pow.f64 z 3) 1))
(fma.f64 -4/169 (pow.f64 z 3) (fma.f64 -2/13 (*.f64 z z) (fma.f64 18/2197 (pow.f64 z 4) 1)))
(exp.f64 (/.f64 (pow.f64 z 2) (-.f64 z 13/2)))
(exp.f64 (/.f64 (*.f64 z z) (+.f64 z -13/2)))
(exp.f64 (/.f64 z (/.f64 (+.f64 z -13/2) z)))
(exp.f64 (*.f64 (/.f64 z (+.f64 z -13/2)) z))
(pow.f64 (exp.f64 (/.f64 z (+.f64 z -13/2))) z)
(exp.f64 (/.f64 (pow.f64 z 2) (-.f64 z 13/2)))
(exp.f64 (/.f64 (*.f64 z z) (+.f64 z -13/2)))
(exp.f64 (/.f64 z (/.f64 (+.f64 z -13/2) z)))
(exp.f64 (*.f64 (/.f64 z (+.f64 z -13/2)) z))
(pow.f64 (exp.f64 (/.f64 z (+.f64 z -13/2))) z)
(exp.f64 (/.f64 (pow.f64 z 2) (-.f64 z 13/2)))
(exp.f64 (/.f64 (*.f64 z z) (+.f64 z -13/2)))
(exp.f64 (/.f64 z (/.f64 (+.f64 z -13/2) z)))
(exp.f64 (*.f64 (/.f64 z (+.f64 z -13/2)) z))
(pow.f64 (exp.f64 (/.f64 z (+.f64 z -13/2))) z)
(exp.f64 (/.f64 (pow.f64 z 2) (-.f64 z 13/2)))
(exp.f64 (/.f64 (*.f64 z z) (+.f64 z -13/2)))
(exp.f64 (/.f64 z (/.f64 (+.f64 z -13/2) z)))
(exp.f64 (*.f64 (/.f64 z (+.f64 z -13/2)) z))
(pow.f64 (exp.f64 (/.f64 z (+.f64 z -13/2))) z)
(exp.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (+.f64 (.f64 -1 z) 13/2))))
(exp.f64 (neg.f64 (/.f64 (*.f64 z z) (fma.f64 -1 z 13/2))))
(exp.f64 (/.f64 (*.f64 (neg.f64 z) z) (-.f64 13/2 z)))
(exp.f64 (neg.f64 (/.f64 (*.f64 z z) (-.f64 13/2 z))))
(exp.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (+.f64 (.f64 -1 z) 13/2))))
(exp.f64 (neg.f64 (/.f64 (*.f64 z z) (fma.f64 -1 z 13/2))))
(exp.f64 (/.f64 (*.f64 (neg.f64 z) z) (-.f64 13/2 z)))
(exp.f64 (neg.f64 (/.f64 (*.f64 z z) (-.f64 13/2 z))))
(exp.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (+.f64 (.f64 -1 z) 13/2))))
(exp.f64 (neg.f64 (/.f64 (*.f64 z z) (fma.f64 -1 z 13/2))))
(exp.f64 (/.f64 (*.f64 (neg.f64 z) z) (-.f64 13/2 z)))
(exp.f64 (neg.f64 (/.f64 (*.f64 z z) (-.f64 13/2 z))))
(exp.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (+.f64 (.f64 -1 z) 13/2))))
(exp.f64 (neg.f64 (/.f64 (*.f64 z z) (fma.f64 -1 z 13/2))))
(exp.f64 (/.f64 (*.f64 (neg.f64 z) z) (-.f64 13/2 z)))
(exp.f64 (neg.f64 (/.f64 (*.f64 z z) (-.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 (sqrt.f64 2/13) (exp.f64 -13/2)))
(fma.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) z (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))
(fma.f64 z (.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (+.f64 (log.f64 13/2) -14/13))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 9/26 (.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 -2/13 (.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 (sqrt.f64 2/13) (exp.f64 -13/2))))
(fma.f64 (+.f64 (fma.f64 9/26 (.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 2/13 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) (.f64 z z) (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 (.f64 z z) (+.f64 (-.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 9/26 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169))) (.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (+.f64 (log.f64 13/2) -1/13)))) (.f64 (.f64 2/13 (sqrt.f64 2/13)) (exp.f64 -13/2))) (fma.f64 z (.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (+.f64 (log.f64 13/2) -14/13))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))))
(fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 z (+.f64 (.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (+.f64 (log.f64 13/2) -14/13))) (.f64 z (fma.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) (+.f64 (log.f64 13/2) -1/13)) (.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) 1/2))))))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 -37/1014 (.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 9/26 (.f64 (-.f64 (log.f64 13/2) 1/13) (.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 (.f64 -2/13 (+.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 -4/169 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))))) (pow.f64 z 3)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 9/26 (.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 -2/13 (.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 (sqrt.f64 2/13) (exp.f64 -13/2)))))
(fma.f64 (-.f64 (fma.f64 -37/1014 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (fma.f64 (+.f64 (fma.f64 27/169 (+.f64 (log.f64 13/2) -1/13) (.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3))) -82/6591) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (fma.f64 9/26 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (log.f64 13/2) -1/13)) (neg.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 27/169 (.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2)))))))) (fma.f64 -2/13 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) (.f64 -4/169 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))))) (pow.f64 z 3) (fma.f64 (+.f64 (fma.f64 9/26 (.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 2/13 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) (.f64 z z) (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 (pow.f64 z 3) (+.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 -37/1014 (fma.f64 (+.f64 (log.f64 13/2) -1/13) 27/169 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) -82/6591)))) (-.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (.f64 9/26 (log.f64 13/2)) -9/338) (neg.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169)))) (fma.f64 -4/169 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (.f64 (.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) -2/13)) (+.f64 (log.f64 13/2) -14/13))))) (fma.f64 (.f64 z z) (+.f64 (-.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 9/26 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169))) (.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (+.f64 (log.f64 13/2) -1/13)))) (.f64 (.f64 2/13 (sqrt.f64 2/13)) (exp.f64 -13/2))) (fma.f64 z (.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (+.f64 (log.f64 13/2) -14/13))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))
(fma.f64 (pow.f64 z 3) (-.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (-.f64 (fma.f64 (log.f64 13/2) 9/26 -9/338) (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169)) (+.f64 -215/4394 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) (fma.f64 (log.f64 13/2) 27/169 -27/2197))))) (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (.f64 -2/13 (+.f64 (log.f64 13/2) -14/13)) -4/169))) (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 z (+.f64 (.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (+.f64 (log.f64 13/2) -14/13))) (.f64 z (fma.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) (+.f64 (log.f64 13/2) -1/13)) (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) 1/2)))))))
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (/.f64 (pow.f64 z 2) (-.f64 z 13/2))))
(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (/.f64 (*.f64 z z) (+.f64 z -13/2))))
(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (/.f64 z (/.f64 (+.f64 z -13/2) z))))
(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (*.f64 (/.f64 z (+.f64 z -13/2)) z)))
(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (exp.f64 (/.f64 z (+.f64 z -13/2))) z))
(+.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (/.f64 (pow.f64 z 2) (-.f64 z 13/2)))) (.f64 169/4 (/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (.f64 (exp.f64 (/.f64 (pow.f64 z 2) (-.f64 z 13/2))) z))))
(+.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (/.f64 (.f64 z z) (+.f64 z -13/2)))) (/.f64 (.f64 169/4 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (.f64 z (exp.f64 (/.f64 (.f64 z z) (+.f64 z -13/2))))))
(fma.f64 169/4 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 z (exp.f64 (/.f64 z (/.f64 (+.f64 z -13/2) z))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (/.f64 z (/.f64 (+.f64 z -13/2) z)))))
(.f64 (+.f64 1 (/.f64 169/4 z)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (.f64 (/.f64 z (+.f64 z -13/2)) z))))
(*.f64 (+.f64 1 (/.f64 169/4 z)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (exp.f64 (/.f64 z (+.f64 z -13/2))) z)))
(+.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (/.f64 (pow.f64 z 2) (-.f64 z 13/2)))) (+.f64 (.f64 37349/32 (/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (.f64 (exp.f64 (/.f64 (pow.f64 z 2) (-.f64 z 13/2))) (pow.f64 z 2)))) (.f64 169/4 (/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (.f64 (exp.f64 (/.f64 (pow.f64 z 2) (-.f64 z 13/2))) z)))))
(+.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (/.f64 (.f64 z z) (+.f64 z -13/2)))) (fma.f64 37349/32 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (.f64 z z) (exp.f64 (/.f64 (.f64 z z) (+.f64 z -13/2))))) (/.f64 (.f64 169/4 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (.f64 z (exp.f64 (/.f64 (*.f64 z z) (+.f64 z -13/2)))))))
(+.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (/.f64 z (/.f64 (+.f64 z -13/2) z)))) (fma.f64 169/4 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 z (exp.f64 (/.f64 z (/.f64 (+.f64 z -13/2) z))))) (.f64 37349/32 (/.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (/.f64 z (/.f64 (+.f64 z -13/2) z)))) (*.f64 z z)))))
(+.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (.f64 (/.f64 z (+.f64 z -13/2)) z))) (.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (.f64 (/.f64 z (+.f64 z -13/2)) z))) (+.f64 (/.f64 169/4 z) (/.f64 37349/32 (.f64 z z)))))
(+.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (exp.f64 (/.f64 z (+.f64 z -13/2))) z)) (.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (exp.f64 (/.f64 z (+.f64 z -13/2))) z)) (+.f64 (/.f64 169/4 z) (/.f64 37349/32 (.f64 z z)))))
(+.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (/.f64 (pow.f64 z 2) (-.f64 z 13/2)))) (+.f64 (.f64 37349/32 (/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (.f64 (exp.f64 (/.f64 (pow.f64 z 2) (-.f64 z 13/2))) (pow.f64 z 2)))) (+.f64 (.f64 9967789/384 (/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (.f64 (exp.f64 (/.f64 (pow.f64 z 2) (-.f64 z 13/2))) (pow.f64 z 3)))) (.f64 169/4 (/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (.f64 (exp.f64 (/.f64 (pow.f64 z 2) (-.f64 z 13/2))) z))))))
(+.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (/.f64 (.f64 z z) (+.f64 z -13/2)))) (fma.f64 37349/32 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (.f64 z z) (exp.f64 (/.f64 (.f64 z z) (+.f64 z -13/2))))) (fma.f64 9967789/384 (/.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (/.f64 (.f64 z z) (+.f64 z -13/2)))) (pow.f64 z 3)) (/.f64 (.f64 169/4 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (.f64 z (exp.f64 (/.f64 (.f64 z z) (+.f64 z -13/2))))))))
(+.f64 (fma.f64 37349/32 (/.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (/.f64 z (/.f64 (+.f64 z -13/2) z)))) (.f64 z z)) (.f64 9967789/384 (/.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (/.f64 z (/.f64 (+.f64 z -13/2) z)))) (pow.f64 z 3)))) (fma.f64 169/4 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 z (exp.f64 (/.f64 z (/.f64 (+.f64 z -13/2) z))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (/.f64 z (/.f64 (+.f64 z -13/2) z))))))
(+.f64 (.f64 (+.f64 1 (/.f64 169/4 z)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (.f64 (/.f64 z (+.f64 z -13/2)) z)))) (.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (.f64 (/.f64 z (+.f64 z -13/2)) z))) (+.f64 (/.f64 37349/32 (*.f64 z z)) (/.f64 9967789/384 (pow.f64 z 3)))))
(+.f64 (.f64 (+.f64 1 (/.f64 169/4 z)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (exp.f64 (/.f64 z (+.f64 z -13/2))) z))) (.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (exp.f64 (/.f64 z (+.f64 z -13/2))) z)) (+.f64 (/.f64 37349/32 (*.f64 z z)) (/.f64 9967789/384 (pow.f64 z 3)))))
(/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (+.f64 (.f64 -1 z) 13/2)))))
(exp.f64 (-.f64 (neg.f64 (.f64 (log.f64 (-.f64 13/2 (neg.f64 z))) (fma.f64 -1 z 1/2))) (neg.f64 (/.f64 (.f64 z z) (fma.f64 -1 z 13/2)))))
(exp.f64 (.f64 -1 (-.f64 (.f64 (log.f64 (+.f64 z 13/2)) (-.f64 1/2 z)) (/.f64 z (/.f64 (-.f64 13/2 z) z)))))
(exp.f64 (fma.f64 (log.f64 (+.f64 z 13/2)) (+.f64 z -1/2) (/.f64 (*.f64 z z) (-.f64 13/2 z))))
(+.f64 (.f64 169/4 (/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (.f64 z (exp.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (+.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 -1 (/.f64 (pow.f64 z 2) (+.f64 (.f64 -1 z) 13/2))))))
(fma.f64 169/4 (/.f64 (exp.f64 (neg.f64 (.f64 (log.f64 (-.f64 13/2 (neg.f64 z))) (fma.f64 -1 z 1/2)))) (.f64 z (exp.f64 (neg.f64 (/.f64 (.f64 z z) (fma.f64 -1 z 13/2)))))) (exp.f64 (-.f64 (neg.f64 (.f64 (log.f64 (-.f64 13/2 (neg.f64 z))) (fma.f64 -1 z 1/2))) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 -1 z 13/2))))))
(fma.f64 169/4 (/.f64 (exp.f64 (.f64 -1 (-.f64 (.f64 (log.f64 (+.f64 z 13/2)) (-.f64 1/2 z)) (/.f64 z (/.f64 (-.f64 13/2 z) z))))) z) (exp.f64 (.f64 -1 (-.f64 (.f64 (log.f64 (+.f64 z 13/2)) (-.f64 1/2 z)) (/.f64 z (/.f64 (-.f64 13/2 z) z))))))
(.f64 (+.f64 1 (/.f64 169/4 z)) (exp.f64 (fma.f64 (log.f64 (+.f64 z 13/2)) (+.f64 z -1/2) (/.f64 (.f64 z z) (-.f64 13/2 z)))))
(+.f64 (.f64 37349/32 (/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (.f64 (pow.f64 z 2) (exp.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (+.f64 (.f64 -1 z) 13/2))))))) (+.f64 (.f64 169/4 (/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (.f64 z (exp.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (+.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 -1 (/.f64 (pow.f64 z 2) (+.f64 (.f64 -1 z) 13/2)))))))
(fma.f64 37349/32 (/.f64 (exp.f64 (neg.f64 (.f64 (log.f64 (-.f64 13/2 (neg.f64 z))) (fma.f64 -1 z 1/2)))) (.f64 (.f64 z z) (exp.f64 (neg.f64 (/.f64 (.f64 z z) (fma.f64 -1 z 13/2)))))) (fma.f64 169/4 (/.f64 (exp.f64 (neg.f64 (.f64 (log.f64 (-.f64 13/2 (neg.f64 z))) (fma.f64 -1 z 1/2)))) (.f64 z (exp.f64 (neg.f64 (/.f64 (.f64 z z) (fma.f64 -1 z 13/2)))))) (exp.f64 (-.f64 (neg.f64 (.f64 (log.f64 (-.f64 13/2 (neg.f64 z))) (fma.f64 -1 z 1/2))) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 -1 z 13/2)))))))
(fma.f64 37349/32 (/.f64 (exp.f64 (.f64 -1 (-.f64 (.f64 (log.f64 (+.f64 z 13/2)) (-.f64 1/2 z)) (/.f64 z (/.f64 (-.f64 13/2 z) z))))) (.f64 z z)) (fma.f64 169/4 (/.f64 (exp.f64 (.f64 -1 (-.f64 (.f64 (log.f64 (+.f64 z 13/2)) (-.f64 1/2 z)) (/.f64 z (/.f64 (-.f64 13/2 z) z))))) z) (exp.f64 (.f64 -1 (-.f64 (*.f64 (log.f64 (+.f64 z 13/2)) (-.f64 1/2 z)) (/.f64 z (/.f64 (-.f64 13/2 z) z)))))))
(+.f64 (exp.f64 (fma.f64 (log.f64 (+.f64 z 13/2)) (+.f64 z -1/2) (/.f64 (.f64 z z) (-.f64 13/2 z)))) (.f64 (exp.f64 (fma.f64 (log.f64 (+.f64 z 13/2)) (+.f64 z -1/2) (/.f64 (.f64 z z) (-.f64 13/2 z)))) (+.f64 (/.f64 169/4 z) (/.f64 37349/32 (.f64 z z)))))
(+.f64 (.f64 37349/32 (/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (.f64 (pow.f64 z 2) (exp.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (+.f64 (.f64 -1 z) 13/2))))))) (+.f64 (.f64 169/4 (/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (.f64 z (exp.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (+.f64 (.f64 -1 z) 13/2))))))) (+.f64 (.f64 9967789/384 (/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (.f64 (pow.f64 z 3) (exp.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (+.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 -1 (/.f64 (pow.f64 z 2) (+.f64 (.f64 -1 z) 13/2))))))))
(fma.f64 37349/32 (/.f64 (exp.f64 (neg.f64 (.f64 (log.f64 (-.f64 13/2 (neg.f64 z))) (fma.f64 -1 z 1/2)))) (.f64 (.f64 z z) (exp.f64 (neg.f64 (/.f64 (.f64 z z) (fma.f64 -1 z 13/2)))))) (fma.f64 169/4 (/.f64 (exp.f64 (neg.f64 (.f64 (log.f64 (-.f64 13/2 (neg.f64 z))) (fma.f64 -1 z 1/2)))) (.f64 z (exp.f64 (neg.f64 (/.f64 (.f64 z z) (fma.f64 -1 z 13/2)))))) (fma.f64 9967789/384 (/.f64 (exp.f64 (neg.f64 (.f64 (log.f64 (-.f64 13/2 (neg.f64 z))) (fma.f64 -1 z 1/2)))) (.f64 (pow.f64 z 3) (exp.f64 (neg.f64 (/.f64 (.f64 z z) (fma.f64 -1 z 13/2)))))) (exp.f64 (-.f64 (neg.f64 (.f64 (log.f64 (-.f64 13/2 (neg.f64 z))) (fma.f64 -1 z 1/2))) (neg.f64 (/.f64 (.f64 z z) (fma.f64 -1 z 13/2))))))))
(fma.f64 37349/32 (/.f64 (exp.f64 (.f64 -1 (-.f64 (.f64 (log.f64 (+.f64 z 13/2)) (-.f64 1/2 z)) (/.f64 z (/.f64 (-.f64 13/2 z) z))))) (.f64 z z)) (fma.f64 169/4 (/.f64 (exp.f64 (.f64 -1 (-.f64 (.f64 (log.f64 (+.f64 z 13/2)) (-.f64 1/2 z)) (/.f64 z (/.f64 (-.f64 13/2 z) z))))) z) (fma.f64 9967789/384 (/.f64 (exp.f64 (.f64 -1 (-.f64 (.f64 (log.f64 (+.f64 z 13/2)) (-.f64 1/2 z)) (/.f64 z (/.f64 (-.f64 13/2 z) z))))) (pow.f64 z 3)) (exp.f64 (.f64 -1 (-.f64 (*.f64 (log.f64 (+.f64 z 13/2)) (-.f64 1/2 z)) (/.f64 z (/.f64 (-.f64 13/2 z) z))))))))
(+.f64 (.f64 (+.f64 1 (/.f64 9967789/384 (pow.f64 z 3))) (exp.f64 (fma.f64 (log.f64 (+.f64 z 13/2)) (+.f64 z -1/2) (/.f64 (.f64 z z) (-.f64 13/2 z))))) (.f64 (exp.f64 (fma.f64 (log.f64 (+.f64 z 13/2)) (+.f64 z -1/2) (/.f64 (.f64 z z) (-.f64 13/2 z)))) (+.f64 (/.f64 169/4 z) (/.f64 37349/32 (*.f64 z z)))))
(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 (exp.f64 -13/2) (fma.f64 z -1 1))
(+.f64 (.f64 9/26 (.f64 (pow.f64 z 2) (exp.f64 -13/2))) (+.f64 (.f64 -1 (.f64 z (exp.f64 -13/2))) (exp.f64 -13/2)))
(fma.f64 9/26 (.f64 (.f64 z z) (exp.f64 -13/2)) (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 (*.f64 z z) 9/26) (neg.f64 z))))
(fma.f64 (exp.f64 -13/2) (fma.f64 (*.f64 z z) 9/26 (neg.f64 z)) (exp.f64 -13/2))
(+.f64 (.f64 -37/1014 (.f64 (pow.f64 z 3) (exp.f64 -13/2))) (+.f64 (.f64 9/26 (.f64 (pow.f64 z 2) (exp.f64 -13/2))) (+.f64 (.f64 -1 (.f64 z (exp.f64 -13/2))) (exp.f64 -13/2))))
(fma.f64 -37/1014 (.f64 (pow.f64 z 3) (exp.f64 -13/2)) (fma.f64 9/26 (.f64 (.f64 z z) (exp.f64 -13/2)) (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) -37/1014) (.f64 (*.f64 z z) 9/26))))
(fma.f64 (exp.f64 -13/2) (.f64 (.f64 z z) (+.f64 (.f64 z -37/1014) 9/26)) (.f64 (exp.f64 -13/2) (fma.f64 z -1 1)))
1
(+.f64 1 (*.f64 169/4 (/.f64 1 z)))
(+.f64 1 (/.f64 169/4 z))
(+.f64 (.f64 169/4 (/.f64 1 z)) (+.f64 (.f64 37349/32 (/.f64 1 (pow.f64 z 2))) 1))
(+.f64 (/.f64 169/4 z) (+.f64 1 (/.f64 37349/32 (*.f64 z z))))
(+.f64 1 (+.f64 (/.f64 169/4 z) (/.f64 37349/32 (*.f64 z z))))
(+.f64 (.f64 169/4 (/.f64 1 z)) (+.f64 (.f64 37349/32 (/.f64 1 (pow.f64 z 2))) (+.f64 1 (*.f64 9967789/384 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (/.f64 169/4 z) (+.f64 (/.f64 37349/32 (*.f64 z z)) (+.f64 1 (/.f64 9967789/384 (pow.f64 z 3)))))
(+.f64 (+.f64 1 (+.f64 (/.f64 169/4 z) (/.f64 37349/32 (*.f64 z z)))) (/.f64 9967789/384 (pow.f64 z 3)))
(+.f64 1 (+.f64 (+.f64 (/.f64 37349/32 (*.f64 z z)) (/.f64 9967789/384 (pow.f64 z 3))) (/.f64 169/4 z)))
1
(+.f64 1 (*.f64 169/4 (/.f64 1 z)))
(+.f64 1 (/.f64 169/4 z))
(+.f64 (.f64 169/4 (/.f64 1 z)) (+.f64 (.f64 37349/32 (/.f64 1 (pow.f64 z 2))) 1))
(+.f64 (/.f64 169/4 z) (+.f64 1 (/.f64 37349/32 (*.f64 z z))))
(+.f64 1 (+.f64 (/.f64 169/4 z) (/.f64 37349/32 (*.f64 z z))))
(+.f64 (.f64 169/4 (/.f64 1 z)) (+.f64 (.f64 37349/32 (/.f64 1 (pow.f64 z 2))) (+.f64 1 (*.f64 9967789/384 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (/.f64 169/4 z) (+.f64 (/.f64 37349/32 (*.f64 z z)) (+.f64 1 (/.f64 9967789/384 (pow.f64 z 3)))))
(+.f64 (+.f64 1 (+.f64 (/.f64 169/4 z) (/.f64 37349/32 (*.f64 z z)))) (/.f64 9967789/384 (pow.f64 z 3)))
(+.f64 1 (+.f64 (+.f64 (/.f64 37349/32 (*.f64 z z)) (/.f64 9967789/384 (pow.f64 z 3))) (/.f64 169/4 z)))

eval2.0s (5.2%)

Compiler: Compiled 62373 to 51609 computations (17.3% saved)

prune855.0ms (2.2%)

Pruning

132 alts after pruning (126 fresh and 6 done)

	Pruned	Kept	Total
New	729	47	776
Fresh	27	79	106
Picked	1	0	1
Done	3	6	9
Total	760	132	892

Error

0.3b

Counts

892 → 132

Alt Table

Click to see full alt table

Status	Error	Program
	4.0b	(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (.f64 (.f64 (-.f64 z -1) -2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z))))) (.f64 (.f64 (-.f64 z -1) -2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.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))))
	60.1b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
	4.1b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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)))))
	59.3b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
	6.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) 2) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2)) (cbrt.f64 (+.f64 z 13/2))))))
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✓	3.8b	(.f64 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))) (+.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))))
	4.6b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) 3) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) z) (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) -1/2)))))
	4.0b	(.f64 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 (exp.f64 -13/2) (exp.f64 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) 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))))
	5.2b	(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (E.f64) (+.f64 z 13/2)))))
	4.3b	(.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 (/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) 3)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.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 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))))
	3.8b	(.f64 (.f64 (sqrt.f64 2) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))) (+.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))))
	4.7b	(.f64 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 3) 1/3) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))) (+.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))))
	4.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (fma.f64 1 (.f64 (fma.f64 -3147848041806007/2500000000000 (+.f64 z 2) (.f64 (+.f64 z 1) 7713234287776531/10000000000000)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 z) 67652036812175649347802002964249/100000000000000000000000000000) z))) (.f64 (.f64 (+.f64 z 2) (+.f64 z 1)) (fma.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z -3) 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000))) (.f64 (.f64 (+.f64 z 1) (+.f64 z 2)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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)))))
	5.2b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (+.f64 (.f64 (fma.f64 -3147848041806007/2500000000000 (+.f64 z 2) (.f64 (+.f64 z 1) 7713234287776531/10000000000000)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (.f64 (.f64 (+.f64 z 1) (+.f64 z 2)) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z))))) (.f64 (.f64 (+.f64 z 1) (+.f64 z 2)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (E.f64) (+.f64 z 13/2)))))

Compiler

Compiled 21890 to 18533 computations (15.3% saved)

localize525.0ms (1.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(+.f64 (.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.f64 z 1) 3))) (-.f64 z -2)) (.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) 7713234287776531/10000000000000))
✓	0.8b	(pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3)
	1.0b	(sqrt.f64 (PI.f64))
	1.7b	(/.f64 (/.f64 (exp.f64 -13/2) (exp.f64 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z)))

Compiler

Compiled 1166 to 979 computations (16% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(+.f64 (.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.f64 z 1) 3))) (-.f64 z -2)) (.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) 7713234287776531/10000000000000))
1.0ms	z	@	inf	(+.f64 (.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.f64 z 1) 3))) (-.f64 z -2)) (.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) 7713234287776531/10000000000000))
1.0ms	z	@	-inf	(+.f64 (.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.f64 z 1) 3))) (-.f64 z -2)) (.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) 7713234287776531/10000000000000))
1.0ms	z	@	0	(pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3)
1.0ms	z	@	inf	(pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3)

rewrite97.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

347×	`add-sqr-sqrt_binary64`
330×	`add-log-exp_binary64`
330×	`pow1_binary64`
330×	`log1p-expm1-u_binary64`
330×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	81
1	718	79

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

Inputs

(pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3)

(+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.f64 z 1) 3))) (-.f64 z -2)) (*.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) 7713234287776531/10000000000000))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3/2) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) 3) (pow.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))) 3) (pow.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))) 3) (pow.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) 1))))))

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7713234287776531/10000000000000))))))

simplify92.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

796×	`fma-def_binary64`
536×	`unswap-sqr_binary64`
496×	`associate-/r*_binary64`
496×	`fma-neg_binary64`
483×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	47	326
1	126	318
2	273	318
3	538	318
4	1105	318
5	3707	306
6	7157	306

Stop Event

1×	node limit

Counts

72 → 76

Calls

Call 1

Inputs
(/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))
(+.f64 (.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 1373039425451051773484090438244978187053893573697/1000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))
(+.f64 (.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 2029561104364883660868120251199239485177094887953/1000000000000000000000000000000000000000000000 (/.f64 1 z)) (*.f64 1373039425451051773484090438244978187053893573697/1000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (+.f64 (.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 2029561104364883660868120251199239485177094887953/1000000000000000000000000000000000000000000000 (/.f64 1 z)) (*.f64 1373039425451051773484090438244978187053893573697/1000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))))
999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000
(+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (*.f64 2029561104364883660868120251199239485177094887953/1000000000000000000000000000000000000000000000 (/.f64 1 z)))
(+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (+.f64 (.f64 2029561104364883660868120251199239485177094887953/1000000000000000000000000000000000000000000000 (/.f64 1 z)) (.f64 1373039425451051773484090438244978187053893573697/1000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 (.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (+.f64 (.f64 2029561104364883660868120251199239485177094887953/1000000000000000000000000000000000000000000000 (/.f64 1 z)) (*.f64 1373039425451051773484090438244978187053893573697/1000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))))
999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000
(+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (*.f64 2029561104364883660868120251199239485177094887953/1000000000000000000000000000000000000000000000 (/.f64 1 z)))
(+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (+.f64 (.f64 2029561104364883660868120251199239485177094887953/1000000000000000000000000000000000000000000000 (/.f64 1 z)) (.f64 1373039425451051773484090438244978187053893573697/1000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 (.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (+.f64 (.f64 2029561104364883660868120251199239485177094887953/1000000000000000000000000000000000000000000000 (/.f64 1 z)) (*.f64 1373039425451051773484090438244978187053893573697/1000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))))
(/.f64 309629712517394580428200722024092610534658749051/500000000000000000000000000000000000000 (pow.f64 z 3))
(+.f64 (.f64 309629712517394580428200722024092610534658749051/500000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 332697475265149240750905708087736125659470089464697/500000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))
(+.f64 (.f64 329729866322068112529765874664904625405959792455955453/500000000000000000000000000000000000000000000 (/.f64 1 z)) (+.f64 (.f64 309629712517394580428200722024092610534658749051/500000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 332697475265149240750905708087736125659470089464697/500000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(-.f64 (+.f64 (.f64 329729866322068112529765874664904625405959792455955453/500000000000000000000000000000000000000000000 (/.f64 1 z)) (+.f64 (.f64 309629712517394580428200722024092610534658749051/500000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 332697475265149240750905708087736125659470089464697/500000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))) 1712871303148120079673032670160119905632685764403707693701/500000000000000000000000000000000000000000000000)
(*.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z)
(+.f64 1401442266571121181550249507790770663789098326306299/500000000000000000000000000000000000000000000000 (*.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z))
(+.f64 (.f64 1695967072782757842570853677230344714810276753921453/500000000000000000000000000000000000000000000 (/.f64 1 z)) (+.f64 1401442266571121181550249507790770663789098326306299/500000000000000000000000000000000000000000000000 (.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z)))
(+.f64 1401442266571121181550249507790770663789098326306299/500000000000000000000000000000000000000000000000 (+.f64 (.f64 1695967072782757842570853677230344714810276753921453/500000000000000000000000000000000000000000000 (/.f64 1 z)) (+.f64 (.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z) (*.f64 274032099948603940347714028974313529918467002342731/500000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))))
(*.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z)
(+.f64 1401442266571121181550249507790770663789098326306299/500000000000000000000000000000000000000000000000 (*.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z))
(+.f64 (.f64 1695967072782757842570853677230344714810276753921453/500000000000000000000000000000000000000000000 (/.f64 1 z)) (+.f64 1401442266571121181550249507790770663789098326306299/500000000000000000000000000000000000000000000000 (.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z)))
(+.f64 1401442266571121181550249507790770663789098326306299/500000000000000000000000000000000000000000000000 (+.f64 (.f64 1695967072782757842570853677230344714810276753921453/500000000000000000000000000000000000000000000 (/.f64 1 z)) (+.f64 (.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z) (*.f64 274032099948603940347714028974313529918467002342731/500000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))))

Outputs
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(+.f64 1401442266571121181550249507790770663789098326306299/500000000000000000000000000000000000000000000000 (+.f64 (/.f64 1695967072782757842570853677230344714810276753921453/500000000000000000000000000000000000000000000 z) (fma.f64 z 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 274032099948603940347714028974313529918467002342731/500000000000000000000000000000000000000000 (*.f64 z z)))))
(+.f64 (fma.f64 z 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 1401442266571121181550249507790770663789098326306299/500000000000000000000000000000000000000000000000) (+.f64 (/.f64 1695967072782757842570853677230344714810276753921453/500000000000000000000000000000000000000000000 z) (/.f64 274032099948603940347714028974313529918467002342731/500000000000000000000000000000000000000000 (*.f64 z z))))

localize105.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))
✓	0.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.0b	(/.f64 (sqrt.f64 2/13) (exp.f64 13/2))

Compiler

Compiled 238 to 201 computations (15.5% saved)

series11.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	z	@	0	(/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))
2.0ms	z	@	-inf	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
1.0ms	z	@	inf	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
1.0ms	z	@	0	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
1.0ms	z	@	inf	(/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))

rewrite83.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

436×	`add-sqr-sqrt_binary64`
415×	`add-log-exp_binary64`
414×	`add-exp-log_binary64`
414×	`log1p-expm1-u_binary64`
414×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	63
1	868	63

Stop Event

1×	node limit

Counts

2 → 18

Calls

Call 1

Inputs

(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))

(/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 -578716763873803901/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 -578716763873803901/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 -578716763873803901/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 -578716763873803901/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 -578716763873803901/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 -578716763873803901/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 -578716763873803901/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 -578716763873803901/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 -578716763873803901/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))))))))

((#(struct:change #<rule egg-rr> (2) ((x *.f64 2496092394504893/250000000000000000000 (/.f64 1 (+.f64 z 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (cbrt.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (cbrt.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (sqrt.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))))))))

simplify99.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

733×	`associate-/r/_binary64`
518×	`associate-/l/_binary64`
431×	`fma-def_binary64`
279×	`distribute-lft-out_binary64`
254×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	924
1	273	880
2	869	823
3	3932	674
4	6758	674
5	7892	674

Stop Event

1×	node limit

Counts

42 → 48

Calls

Call 1

Inputs
(.f64 -28755590378125365543517613/525000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 -267413577079622897281123/344531250000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 z (sqrt.f64 2/13))) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (.f64 -28755590378125365543517613/525000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 -267413577079622897281123/344531250000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 z (sqrt.f64 2/13))) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -28755590378125365543517613/525000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (.f64 89979281735637421015992791/463050000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (sqrt.f64 2/13))) (exp.f64 13/2)) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 -267413577079622897281123/344531250000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 z (sqrt.f64 2/13))) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -28755590378125365543517613/525000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -472930180101341472286462573/9724050000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 z 3) (sqrt.f64 2/13))) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (.f64 89979281735637421015992791/463050000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 2) (sqrt.f64 2/13))) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))))))
(.f64 -578716763873803901/10000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 -578716763873803901/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (.f64 309219557958850910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 -578716763873803901/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 309219557958850910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (.f64 -1233414464964485053048753/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 -578716763873803901/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 309219557958850910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -1233414464964485053048753/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (.f64 (exp.f64 13/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (.f64 4916339547306317198405471/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) (pow.f64 z 3))) (sqrt.f64 (PI.f64)))))))
(.f64 -578716763873803901/10000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 -578716763873803901/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (.f64 309219557958850910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 -578716763873803901/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 309219557958850910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (.f64 -1233414464964485053048753/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 -578716763873803901/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 309219557958850910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -1233414464964485053048753/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (.f64 (exp.f64 13/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (.f64 4916339547306317198405471/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) (pow.f64 z 3))) (sqrt.f64 (PI.f64)))))))
2496092394504893/1500000000000000000000
(+.f64 2496092394504893/1500000000000000000000 (*.f64 -2496092394504893/9000000000000000000000 z))
(+.f64 2496092394504893/1500000000000000000000 (+.f64 (.f64 -2496092394504893/9000000000000000000000 z) (.f64 2496092394504893/54000000000000000000000 (pow.f64 z 2))))
(+.f64 2496092394504893/1500000000000000000000 (+.f64 (.f64 -2496092394504893/9000000000000000000000 z) (+.f64 (.f64 -2496092394504893/324000000000000000000000 (pow.f64 z 3)) (*.f64 2496092394504893/54000000000000000000000 (pow.f64 z 2)))))
(/.f64 2496092394504893/250000000000000000000 z)
(-.f64 (.f64 2496092394504893/250000000000000000000 (/.f64 1 z)) (.f64 7488277183514679/125000000000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (.f64 22464831550544037/62500000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 2496092394504893/250000000000000000000 (/.f64 1 z))) (*.f64 7488277183514679/125000000000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (.f64 22464831550544037/62500000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 2496092394504893/250000000000000000000 (/.f64 1 z))) (+.f64 (.f64 7488277183514679/125000000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 67394494651632111/31250000000000000000 (/.f64 1 (pow.f64 z 4)))))
(/.f64 2496092394504893/250000000000000000000 z)
(-.f64 (.f64 2496092394504893/250000000000000000000 (/.f64 1 z)) (.f64 7488277183514679/125000000000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (.f64 22464831550544037/62500000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 2496092394504893/250000000000000000000 (/.f64 1 z))) (*.f64 7488277183514679/125000000000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (.f64 22464831550544037/62500000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 2496092394504893/250000000000000000000 (/.f64 1 z))) (+.f64 (.f64 7488277183514679/125000000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 67394494651632111/31250000000000000000 (/.f64 1 (pow.f64 z 4)))))

Outputs
(.f64 -28755590378125365543517613/525000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64))))
(.f64 -28755590378125365543517613/525000000000000000000000 (/.f64 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (sqrt.f64 (PI.f64))) (exp.f64 13/2)))
(.f64 -28755590378125365543517613/525000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (sqrt.f64 (PI.f64)))) (exp.f64 13/2)))
(.f64 -28755590378125365543517613/525000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (*.f64 (sqrt.f64 2/13) (sqrt.f64 (PI.f64)))))
(.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (*.f64 -28755590378125365543517613/525000000000000000000000 (sqrt.f64 2))) (exp.f64 13/2)) (sqrt.f64 2/13))
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(fma.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2/13) (sqrt.f64 (PI.f64)))) (exp.f64 13/2)) -578716763873803901/10000000000000000 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 309219557958850910362579/25000000000000000000000 (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (sqrt.f64 2) z))) (.f64 -1233414464964485053048753/25000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 (*.f64 z z) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (.f64 (sqrt.f64 2/13) -578716763873803901/10000000000000000) (/.f64 (exp.f64 13/2) (sqrt.f64 2))) (fma.f64 309219557958850910362579/25000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) z)) (.f64 (/.f64 -1233414464964485053048753/25000000000000000000000 (exp.f64 13/2)) (/.f64 (/.f64 (sqrt.f64 2) (/.f64 z (sqrt.f64 2/13))) z)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (.f64 (sqrt.f64 2) -578716763873803901/10000000000000000) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (.f64 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) z)) (+.f64 309219557958850910362579/25000000000000000000000 (/.f64 -1233414464964485053048753/25000000000000000000000 z)))))
(+.f64 (.f64 -578716763873803901/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 309219557958850910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -1233414464964485053048753/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (.f64 (exp.f64 13/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (.f64 4916339547306317198405471/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (exp.f64 13/2) (pow.f64 z 3))) (sqrt.f64 (PI.f64)))))))
(fma.f64 -578716763873803901/10000000000000000 (/.f64 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (sqrt.f64 (PI.f64))) (exp.f64 13/2)) (fma.f64 309219557958850910362579/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) z))) (fma.f64 -1233414464964485053048753/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (.f64 z z)))) (.f64 4916339547306317198405471/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (pow.f64 z 3))))))))
(+.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (.f64 -578716763873803901/10000000000000000 (sqrt.f64 2)) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (.f64 309219557958850910362579/25000000000000000000000 (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (/.f64 (sqrt.f64 2) z))))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 -1233414464964485053048753/25000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 (.f64 z z) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))) (.f64 4916339547306317198405471/25000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 z 3) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (fma.f64 (.f64 (sqrt.f64 2/13) (/.f64 (sqrt.f64 2) (exp.f64 13/2))) -578716763873803901/10000000000000000 (/.f64 (/.f64 (.f64 309219557958850910362579/25000000000000000000000 (sqrt.f64 2/13)) (/.f64 (exp.f64 13/2) (sqrt.f64 2))) z)) (fma.f64 -1233414464964485053048753/25000000000000000000000 (.f64 (/.f64 (sqrt.f64 2/13) (.f64 (exp.f64 13/2) (.f64 z z))) (sqrt.f64 2)) (/.f64 (/.f64 (*.f64 4916339547306317198405471/25000000000000000000000 (sqrt.f64 2/13)) (/.f64 (exp.f64 13/2) (sqrt.f64 2))) (pow.f64 z 3)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (.f64 (sqrt.f64 2/13) (/.f64 (sqrt.f64 2) (exp.f64 13/2))) (+.f64 (/.f64 309219557958850910362579/25000000000000000000000 z) -578716763873803901/10000000000000000)) (.f64 (.f64 (sqrt.f64 2/13) (/.f64 (sqrt.f64 2) (.f64 (exp.f64 13/2) (*.f64 z z)))) (+.f64 -1233414464964485053048753/25000000000000000000000 (/.f64 4916339547306317198405471/25000000000000000000000 z)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (.f64 (sqrt.f64 2/13) (/.f64 (sqrt.f64 2) (exp.f64 13/2))) (+.f64 -578716763873803901/10000000000000000 (/.f64 309219557958850910362579/25000000000000000000000 z))) (.f64 (.f64 (sqrt.f64 2/13) (/.f64 (sqrt.f64 2) (.f64 (exp.f64 13/2) (*.f64 z z)))) (+.f64 -1233414464964485053048753/25000000000000000000000 (/.f64 4916339547306317198405471/25000000000000000000000 z)))))
2496092394504893/1500000000000000000000
(+.f64 2496092394504893/1500000000000000000000 (*.f64 -2496092394504893/9000000000000000000000 z))
(+.f64 2496092394504893/1500000000000000000000 (*.f64 z -2496092394504893/9000000000000000000000))
(fma.f64 z -2496092394504893/9000000000000000000000 2496092394504893/1500000000000000000000)
(+.f64 2496092394504893/1500000000000000000000 (+.f64 (.f64 -2496092394504893/9000000000000000000000 z) (.f64 2496092394504893/54000000000000000000000 (pow.f64 z 2))))
(+.f64 2496092394504893/1500000000000000000000 (fma.f64 -2496092394504893/9000000000000000000000 z (.f64 (.f64 z z) 2496092394504893/54000000000000000000000)))
(+.f64 2496092394504893/1500000000000000000000 (fma.f64 z -2496092394504893/9000000000000000000000 (.f64 z (.f64 z 2496092394504893/54000000000000000000000))))
(fma.f64 z -2496092394504893/9000000000000000000000 (fma.f64 z (*.f64 z 2496092394504893/54000000000000000000000) 2496092394504893/1500000000000000000000))
(+.f64 2496092394504893/1500000000000000000000 (+.f64 (.f64 -2496092394504893/9000000000000000000000 z) (+.f64 (.f64 -2496092394504893/324000000000000000000000 (pow.f64 z 3)) (*.f64 2496092394504893/54000000000000000000000 (pow.f64 z 2)))))
(+.f64 2496092394504893/1500000000000000000000 (fma.f64 -2496092394504893/9000000000000000000000 z (fma.f64 -2496092394504893/324000000000000000000000 (pow.f64 z 3) (.f64 (.f64 z z) 2496092394504893/54000000000000000000000))))
(+.f64 2496092394504893/1500000000000000000000 (fma.f64 z -2496092394504893/9000000000000000000000 (fma.f64 (.f64 z z) 2496092394504893/54000000000000000000000 (.f64 (pow.f64 z 3) -2496092394504893/324000000000000000000000))))
(+.f64 2496092394504893/1500000000000000000000 (fma.f64 z -2496092394504893/9000000000000000000000 (.f64 (.f64 z z) (+.f64 2496092394504893/54000000000000000000000 (*.f64 z -2496092394504893/324000000000000000000000)))))
(+.f64 2496092394504893/1500000000000000000000 (.f64 z (+.f64 (.f64 z (+.f64 2496092394504893/54000000000000000000000 (*.f64 z -2496092394504893/324000000000000000000000))) -2496092394504893/9000000000000000000000)))
(+.f64 2496092394504893/1500000000000000000000 (.f64 z (+.f64 -2496092394504893/9000000000000000000000 (.f64 z (+.f64 2496092394504893/54000000000000000000000 (*.f64 z -2496092394504893/324000000000000000000000))))))
(/.f64 2496092394504893/250000000000000000000 z)
(-.f64 (.f64 2496092394504893/250000000000000000000 (/.f64 1 z)) (.f64 7488277183514679/125000000000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (/.f64 2496092394504893/250000000000000000000 z) (/.f64 7488277183514679/125000000000000000000 (*.f64 z z)))
(+.f64 (/.f64 2496092394504893/250000000000000000000 z) (/.f64 -7488277183514679/125000000000000000000 (*.f64 z z)))
(-.f64 (+.f64 (.f64 22464831550544037/62500000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 2496092394504893/250000000000000000000 (/.f64 1 z))) (*.f64 7488277183514679/125000000000000000000 (/.f64 1 (pow.f64 z 2))))
(+.f64 (/.f64 22464831550544037/62500000000000000000 (pow.f64 z 3)) (-.f64 (/.f64 2496092394504893/250000000000000000000 z) (/.f64 7488277183514679/125000000000000000000 (*.f64 z z))))
(+.f64 (/.f64 2496092394504893/250000000000000000000 z) (-.f64 (/.f64 22464831550544037/62500000000000000000 (pow.f64 z 3)) (/.f64 7488277183514679/125000000000000000000 (*.f64 z z))))
(+.f64 (/.f64 2496092394504893/250000000000000000000 z) (+.f64 (/.f64 22464831550544037/62500000000000000000 (pow.f64 z 3)) (/.f64 -7488277183514679/125000000000000000000 (*.f64 z z))))
(-.f64 (+.f64 (.f64 22464831550544037/62500000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 2496092394504893/250000000000000000000 (/.f64 1 z))) (+.f64 (.f64 7488277183514679/125000000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 67394494651632111/31250000000000000000 (/.f64 1 (pow.f64 z 4)))))
(-.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 z) (/.f64 22464831550544037/62500000000000000000 (pow.f64 z 3))) (+.f64 (/.f64 7488277183514679/125000000000000000000 (*.f64 z z)) (/.f64 67394494651632111/31250000000000000000 (pow.f64 z 4))))
(+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 z) (/.f64 22464831550544037/62500000000000000000 (pow.f64 z 3))) (-.f64 (/.f64 -7488277183514679/125000000000000000000 (*.f64 z z)) (/.f64 67394494651632111/31250000000000000000 (pow.f64 z 4))))
(+.f64 (-.f64 (/.f64 2496092394504893/250000000000000000000 z) (/.f64 7488277183514679/125000000000000000000 (*.f64 z z))) (-.f64 (/.f64 22464831550544037/62500000000000000000 (pow.f64 z 3)) (/.f64 67394494651632111/31250000000000000000 (pow.f64 z 4))))
(+.f64 (/.f64 2496092394504893/250000000000000000000 z) (+.f64 (/.f64 22464831550544037/62500000000000000000 (pow.f64 z 3)) (+.f64 (/.f64 -7488277183514679/125000000000000000000 (*.f64 z z)) (/.f64 -67394494651632111/31250000000000000000 (pow.f64 z 4)))))
(/.f64 2496092394504893/250000000000000000000 z)
(-.f64 (.f64 2496092394504893/250000000000000000000 (/.f64 1 z)) (.f64 7488277183514679/125000000000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (/.f64 2496092394504893/250000000000000000000 z) (/.f64 7488277183514679/125000000000000000000 (*.f64 z z)))
(+.f64 (/.f64 2496092394504893/250000000000000000000 z) (/.f64 -7488277183514679/125000000000000000000 (*.f64 z z)))
(-.f64 (+.f64 (.f64 22464831550544037/62500000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 2496092394504893/250000000000000000000 (/.f64 1 z))) (*.f64 7488277183514679/125000000000000000000 (/.f64 1 (pow.f64 z 2))))
(+.f64 (/.f64 22464831550544037/62500000000000000000 (pow.f64 z 3)) (-.f64 (/.f64 2496092394504893/250000000000000000000 z) (/.f64 7488277183514679/125000000000000000000 (*.f64 z z))))
(+.f64 (/.f64 2496092394504893/250000000000000000000 z) (-.f64 (/.f64 22464831550544037/62500000000000000000 (pow.f64 z 3)) (/.f64 7488277183514679/125000000000000000000 (*.f64 z z))))
(+.f64 (/.f64 2496092394504893/250000000000000000000 z) (+.f64 (/.f64 22464831550544037/62500000000000000000 (pow.f64 z 3)) (/.f64 -7488277183514679/125000000000000000000 (*.f64 z z))))
(-.f64 (+.f64 (.f64 22464831550544037/62500000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 2496092394504893/250000000000000000000 (/.f64 1 z))) (+.f64 (.f64 7488277183514679/125000000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 67394494651632111/31250000000000000000 (/.f64 1 (pow.f64 z 4)))))
(-.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 z) (/.f64 22464831550544037/62500000000000000000 (pow.f64 z 3))) (+.f64 (/.f64 7488277183514679/125000000000000000000 (*.f64 z z)) (/.f64 67394494651632111/31250000000000000000 (pow.f64 z 4))))
(+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 z) (/.f64 22464831550544037/62500000000000000000 (pow.f64 z 3))) (-.f64 (/.f64 -7488277183514679/125000000000000000000 (*.f64 z z)) (/.f64 67394494651632111/31250000000000000000 (pow.f64 z 4))))
(+.f64 (-.f64 (/.f64 2496092394504893/250000000000000000000 z) (/.f64 7488277183514679/125000000000000000000 (*.f64 z z))) (-.f64 (/.f64 22464831550544037/62500000000000000000 (pow.f64 z 3)) (/.f64 67394494651632111/31250000000000000000 (pow.f64 z 4))))
(+.f64 (/.f64 2496092394504893/250000000000000000000 z) (+.f64 (/.f64 22464831550544037/62500000000000000000 (pow.f64 z 3)) (+.f64 (/.f64 -7488277183514679/125000000000000000000 (*.f64 z z)) (/.f64 -67394494651632111/31250000000000000000 (pow.f64 z 4)))))

localize313.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.8b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.1b	(exp.f64 (+.f64 z 13/2))
✓	2.2b	(/.f64 (pow.f64 (+.f64 z 13/2) z) (exp.f64 (+.f64 z 13/2)))

Compiler

Compiled 423 to 340 computations (19.6% saved)

series7.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	z	@	inf	(/.f64 (pow.f64 (+.f64 z 13/2) z) (exp.f64 (+.f64 z 13/2)))
1.0ms	z	@	0	(/.f64 (pow.f64 (+.f64 z 13/2) z) (exp.f64 (+.f64 z 13/2)))
1.0ms	z	@	-inf	(/.f64 (pow.f64 (+.f64 z 13/2) z) (exp.f64 (+.f64 z 13/2)))

rewrite76.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

883×	`pow1_binary64`
830×	`add-log-exp_binary64`
830×	`log1p-expm1-u_binary64`
830×	`expm1-log1p-u_binary64`
813×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	159	15
2	2162	15

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

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

Outputs

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

simplify96.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

555×	`associate--l+_binary64`
379×	`+-commutative_binary64`
280×	`sub-neg_binary64`
268×	`times-frac_binary64`
258×	`associate-+l-_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	345
1	177	341
2	507	323
3	2568	305
4	7653	305

Stop Event

1×	node limit

Counts

46 → 45

Calls

Call 1

Inputs
(/.f64 1 (exp.f64 13/2))
(+.f64 (*.f64 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (/.f64 1 (exp.f64 13/2))) z) (/.f64 1 (exp.f64 13/2)))
(+.f64 (.f64 (pow.f64 z 2) (-.f64 (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 13/2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 13/2) 2) (exp.f64 13/2))) (.f64 2/13 (/.f64 1 (exp.f64 13/2))))) (/.f64 (log.f64 13/2) (exp.f64 13/2)))) (+.f64 (*.f64 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (/.f64 1 (exp.f64 13/2))) z) (/.f64 1 (exp.f64 13/2))))
(+.f64 (.f64 (pow.f64 z 2) (-.f64 (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 13/2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 13/2) 2) (exp.f64 13/2))) (.f64 2/13 (/.f64 1 (exp.f64 13/2))))) (/.f64 (log.f64 13/2) (exp.f64 13/2)))) (+.f64 (.f64 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (/.f64 1 (exp.f64 13/2))) z) (+.f64 (.f64 (pow.f64 z 3) (-.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 13/2) 3) (exp.f64 13/2))) (+.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (.f64 2/13 (/.f64 (log.f64 13/2) (exp.f64 13/2))))) (+.f64 (.f64 1/2 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (/.f64 1 (exp.f64 13/2)))) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 13/2))) (+.f64 (.f64 181/1014 (/.f64 1 (exp.f64 13/2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 13/2) 2) (exp.f64 13/2))) (*.f64 2/13 (/.f64 1 (exp.f64 13/2))))))))) (/.f64 1 (exp.f64 13/2)))))
(/.f64 (exp.f64 (*.f64 (log.f64 (+.f64 13/2 z)) z)) (exp.f64 (+.f64 13/2 z)))
(/.f64 (exp.f64 (*.f64 (log.f64 (+.f64 13/2 z)) z)) (exp.f64 (+.f64 13/2 z)))
(/.f64 (exp.f64 (*.f64 (log.f64 (+.f64 13/2 z)) z)) (exp.f64 (+.f64 13/2 z)))
(/.f64 (exp.f64 (*.f64 (log.f64 (+.f64 13/2 z)) z)) (exp.f64 (+.f64 13/2 z)))
(/.f64 (pow.f64 (-.f64 13/2 (.f64 -1 z)) z) (exp.f64 (-.f64 13/2 (.f64 -1 z))))
(/.f64 (pow.f64 (-.f64 13/2 (.f64 -1 z)) z) (exp.f64 (-.f64 13/2 (.f64 -1 z))))
(/.f64 (pow.f64 (-.f64 13/2 (.f64 -1 z)) z) (exp.f64 (-.f64 13/2 (.f64 -1 z))))
(/.f64 (pow.f64 (-.f64 13/2 (.f64 -1 z)) z) (exp.f64 (-.f64 13/2 (.f64 -1 z))))

Outputs
(/.f64 1 (exp.f64 13/2))
(exp.f64 -13/2)
(+.f64 (*.f64 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (/.f64 1 (exp.f64 13/2))) z) (/.f64 1 (exp.f64 13/2)))
(fma.f64 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (exp.f64 -13/2)) z (exp.f64 -13/2))
(+.f64 (.f64 (pow.f64 z 2) (-.f64 (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 13/2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 13/2) 2) (exp.f64 13/2))) (.f64 2/13 (/.f64 1 (exp.f64 13/2))))) (/.f64 (log.f64 13/2) (exp.f64 13/2)))) (+.f64 (*.f64 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (/.f64 1 (exp.f64 13/2))) z) (/.f64 1 (exp.f64 13/2))))
(fma.f64 (.f64 z z) (-.f64 (fma.f64 1/2 (exp.f64 -13/2) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 13/2) 2) (exp.f64 13/2)) (.f64 (exp.f64 -13/2) 2/13))) (/.f64 (log.f64 13/2) (exp.f64 13/2))) (fma.f64 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (exp.f64 -13/2)) z (exp.f64 -13/2)))
(fma.f64 (*.f64 z z) (-.f64 (fma.f64 (exp.f64 -13/2) 1/2 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 13/2) 2) (exp.f64 13/2)) (/.f64 2/13 (exp.f64 13/2)))) (/.f64 (log.f64 13/2) (exp.f64 13/2))) (fma.f64 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (exp.f64 -13/2)) z (exp.f64 -13/2)))
(fma.f64 (.f64 z z) (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 13/2) 2) (exp.f64 13/2)) (.f64 (exp.f64 -13/2) 17/26)) (/.f64 (log.f64 13/2) (exp.f64 13/2))) (fma.f64 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (exp.f64 -13/2)) z (exp.f64 -13/2)))
(+.f64 (.f64 (pow.f64 z 2) (-.f64 (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 13/2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 13/2) 2) (exp.f64 13/2))) (.f64 2/13 (/.f64 1 (exp.f64 13/2))))) (/.f64 (log.f64 13/2) (exp.f64 13/2)))) (+.f64 (.f64 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (/.f64 1 (exp.f64 13/2))) z) (+.f64 (.f64 (pow.f64 z 3) (-.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 13/2) 3) (exp.f64 13/2))) (+.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (.f64 2/13 (/.f64 (log.f64 13/2) (exp.f64 13/2))))) (+.f64 (.f64 1/2 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (/.f64 1 (exp.f64 13/2)))) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 13/2))) (+.f64 (.f64 181/1014 (/.f64 1 (exp.f64 13/2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 13/2) 2) (exp.f64 13/2))) (*.f64 2/13 (/.f64 1 (exp.f64 13/2))))))))) (/.f64 1 (exp.f64 13/2)))))
(fma.f64 (.f64 z z) (-.f64 (fma.f64 1/2 (exp.f64 -13/2) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 13/2) 2) (exp.f64 13/2)) (.f64 (exp.f64 -13/2) 2/13))) (/.f64 (log.f64 13/2) (exp.f64 13/2))) (fma.f64 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (exp.f64 -13/2)) z (fma.f64 (pow.f64 z 3) (-.f64 (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 13/2) 3) (exp.f64 13/2)) (.f64 15/13 (/.f64 (log.f64 13/2) (exp.f64 13/2)))) (fma.f64 1/2 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (exp.f64 -13/2)) (fma.f64 1/2 (exp.f64 -13/2) (fma.f64 181/1014 (exp.f64 -13/2) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 13/2) 2) (exp.f64 13/2)) (.f64 (exp.f64 -13/2) 2/13)))))) (exp.f64 -13/2))))
(fma.f64 (.f64 z z) (-.f64 (fma.f64 (exp.f64 -13/2) 1/2 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 13/2) 2) (exp.f64 13/2)) (/.f64 2/13 (exp.f64 13/2)))) (/.f64 (log.f64 13/2) (exp.f64 13/2))) (fma.f64 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (exp.f64 -13/2)) z (fma.f64 (pow.f64 z 3) (-.f64 (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 13/2) 3) (exp.f64 13/2)) (.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) 15/13)) (fma.f64 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (exp.f64 -13/2)) 1/2 (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 13/2) 2) (exp.f64 13/2)) (/.f64 2/13 (exp.f64 13/2))) (*.f64 (exp.f64 -13/2) 344/507)))) (exp.f64 -13/2))))
(fma.f64 z (.f64 z (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 13/2) 2) (exp.f64 13/2)) (.f64 (exp.f64 -13/2) 17/26)) (/.f64 (log.f64 13/2) (exp.f64 13/2)))) (fma.f64 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (exp.f64 -13/2)) z (fma.f64 (pow.f64 z 3) (-.f64 (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 13/2) 3) (exp.f64 13/2)) (.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) 15/13)) (fma.f64 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (exp.f64 -13/2)) 1/2 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 13/2) 2) (exp.f64 13/2))) (*.f64 (exp.f64 -13/2) 422/507)))) (exp.f64 -13/2))))
(fma.f64 (-.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) (exp.f64 -13/2)) z (fma.f64 z (.f64 z (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 13/2) 2) (exp.f64 13/2)) (.f64 (exp.f64 -13/2) 17/26)) (/.f64 (log.f64 13/2) (exp.f64 13/2)))) (fma.f64 (pow.f64 z 3) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 13/2) 3) (exp.f64 13/2)) (-.f64 (*.f64 (/.f64 (log.f64 13/2) (exp.f64 13/2)) 17/26) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 13/2) 2) (exp.f64 13/2)) (/.f64 337/1014 (exp.f64 13/2))))) (exp.f64 -13/2))))
(/.f64 (exp.f64 (*.f64 (log.f64 (+.f64 13/2 z)) z)) (exp.f64 (+.f64 13/2 z)))
(/.f64 (pow.f64 (+.f64 13/2 z) z) (exp.f64 (+.f64 13/2 z)))
(/.f64 (exp.f64 (*.f64 (log.f64 (+.f64 13/2 z)) z)) (exp.f64 (+.f64 13/2 z)))
(/.f64 (pow.f64 (+.f64 13/2 z) z) (exp.f64 (+.f64 13/2 z)))
(/.f64 (exp.f64 (*.f64 (log.f64 (+.f64 13/2 z)) z)) (exp.f64 (+.f64 13/2 z)))
(/.f64 (pow.f64 (+.f64 13/2 z) z) (exp.f64 (+.f64 13/2 z)))
(/.f64 (exp.f64 (*.f64 (log.f64 (+.f64 13/2 z)) z)) (exp.f64 (+.f64 13/2 z)))
(/.f64 (pow.f64 (+.f64 13/2 z) z) (exp.f64 (+.f64 13/2 z)))
(/.f64 (pow.f64 (-.f64 13/2 (.f64 -1 z)) z) (exp.f64 (-.f64 13/2 (.f64 -1 z))))
(/.f64 (pow.f64 (+.f64 13/2 z) z) (exp.f64 (+.f64 13/2 z)))
(/.f64 (pow.f64 (-.f64 13/2 (.f64 -1 z)) z) (exp.f64 (-.f64 13/2 (.f64 -1 z))))
(/.f64 (pow.f64 (+.f64 13/2 z) z) (exp.f64 (+.f64 13/2 z)))
(/.f64 (pow.f64 (-.f64 13/2 (.f64 -1 z)) z) (exp.f64 (-.f64 13/2 (.f64 -1 z))))
(/.f64 (pow.f64 (+.f64 13/2 z) z) (exp.f64 (+.f64 13/2 z)))
(/.f64 (pow.f64 (-.f64 13/2 (.f64 -1 z)) z) (exp.f64 (-.f64 13/2 (.f64 -1 z))))
(/.f64 (pow.f64 (+.f64 13/2 z) z) (exp.f64 (+.f64 13/2 z)))

localize354.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))
	0.8b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	2.8b	(exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))

Compiler

Compiled 464 to 378 computations (18.5% saved)

series9.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	z	@	inf	(exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))
2.0ms	z	@	0	(exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))
1.0ms	z	@	-inf	(-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))
1.0ms	z	@	inf	(-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))
1.0ms	z	@	-inf	(exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))

rewrite135.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

503×	`log-prod_binary64`
477×	`fma-def_binary64`
356×	`pow-prod-down_binary64`
301×	`pow2_binary64`
297×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	229	36
2	3187	34

Stop Event

1×	node limit

Counts

2 → 187

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) 2)) (log.f64 (cbrt.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 +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))) (log.f64 (sqrt.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 -.f64 (exp.f64 (log1p.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 *.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 *.f64 (/.f64 (pow.f64 (+.f64 z 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simplify81.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

800×	`fma-neg_binary64`
491×	`fma-def_binary64`
399×	`distribute-rgt-neg-out_binary64`
357×	`unsub-neg_binary64`
324×	`distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	631
1	313	544
2	1022	519
3	4651	511

Stop Event

1×	node limit

Counts

211 → 218

Calls

Call 1

Inputs
(exp.f64 (-.f64 (*.f64 -1/2 (log.f64 13/2)) 13/2))
(+.f64 (exp.f64 (-.f64 (.f64 -1/2 (log.f64 13/2)) 13/2)) (.f64 (-.f64 (log.f64 13/2) 14/13) (.f64 z (exp.f64 (-.f64 (.f64 -1/2 (log.f64 13/2)) 13/2)))))
(+.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 14/13) 2))) (.f64 (pow.f64 z 2) (exp.f64 (-.f64 (.f64 -1/2 (log.f64 13/2)) 13/2)))) (+.f64 (exp.f64 (-.f64 (.f64 -1/2 (log.f64 13/2)) 13/2)) (.f64 (-.f64 (log.f64 13/2) 14/13) (.f64 z (exp.f64 (-.f64 (.f64 -1/2 (log.f64 13/2)) 13/2))))))
(+.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 14/13) 2))) (.f64 (pow.f64 z 2) (exp.f64 (-.f64 (.f64 -1/2 (log.f64 13/2)) 13/2)))) (+.f64 (.f64 (exp.f64 (-.f64 (.f64 -1/2 (log.f64 13/2)) 13/2)) (.f64 (pow.f64 z 3) (-.f64 (+.f64 (.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 14/13) 3)) (.f64 27/169 (-.f64 (log.f64 13/2) 14/13))) 82/6591))) (+.f64 (exp.f64 (-.f64 (.f64 -1/2 (log.f64 13/2)) 13/2)) (.f64 (-.f64 (log.f64 13/2) 14/13) (.f64 z (exp.f64 (-.f64 (*.f64 -1/2 (log.f64 13/2)) 13/2)))))))
(exp.f64 (-.f64 (*.f64 (-.f64 z 1/2) (log.f64 (+.f64 13/2 z))) (+.f64 13/2 z)))
(exp.f64 (-.f64 (*.f64 (-.f64 z 1/2) (log.f64 (+.f64 13/2 z))) (+.f64 13/2 z)))
(exp.f64 (-.f64 (*.f64 (-.f64 z 1/2) (log.f64 (+.f64 13/2 z))) (+.f64 13/2 z)))
(exp.f64 (-.f64 (*.f64 (-.f64 z 1/2) (log.f64 (+.f64 13/2 z))) (+.f64 13/2 z)))
(exp.f64 (-.f64 (+.f64 (.f64 -1 z) (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) 13/2))
(exp.f64 (-.f64 (+.f64 (.f64 -1 z) (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) 13/2))
(exp.f64 (-.f64 (+.f64 (.f64 -1 z) (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) 13/2))
(exp.f64 (-.f64 (+.f64 (.f64 -1 z) (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) 13/2))
(-.f64 (*.f64 -1/2 (log.f64 13/2)) 13/2)
(-.f64 (+.f64 (.f64 -1/2 (log.f64 13/2)) (.f64 (-.f64 (log.f64 13/2) 14/13) z)) 13/2)
(-.f64 (+.f64 (.f64 27/169 (pow.f64 z 2)) (+.f64 (.f64 -1/2 (log.f64 13/2)) (*.f64 (-.f64 (log.f64 13/2) 14/13) z))) 13/2)
(-.f64 (+.f64 (.f64 -82/6591 (pow.f64 z 3)) (+.f64 (.f64 27/169 (pow.f64 z 2)) (+.f64 (.f64 -1/2 (log.f64 13/2)) (.f64 (-.f64 (log.f64 13/2) 14/13) z)))) 13/2)
(.f64 z (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) 1))
(+.f64 (.f64 z (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) 1)) (*.f64 1/2 (log.f64 (/.f64 1 z))))
(-.f64 (+.f64 (.f64 z (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) 1)) (.f64 1/2 (log.f64 (/.f64 1 z)))) (.f64 195/8 (/.f64 1 z)))
(-.f64 (+.f64 (.f64 z (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) 1)) (+.f64 (.f64 1/2 (log.f64 (/.f64 1 z))) (.f64 4901/48 (/.f64 1 (pow.f64 z 2))))) (*.f64 195/8 (/.f64 1 z)))
(.f64 -1 (.f64 (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))))) z))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))))) z)) (.f64 -1 (-.f64 (.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))) 13/2))) 13/2)
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))))) z)) (.f64 -1 (-.f64 (.f64 1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z))))) 13/2))) (+.f64 13/2 (.f64 195/8 (/.f64 1 z))))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))))) z)) (+.f64 (.f64 -1 (-.f64 (.f64 1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z))))) 13/2)) (.f64 4901/48 (/.f64 1 (pow.f64 z 2))))) (+.f64 13/2 (*.f64 195/8 (/.f64 1 z))))

Outputs
(exp.f64 (-.f64 (*.f64 -1/2 (log.f64 13/2)) 13/2))
(exp.f64 (fma.f64 -1/2 (log.f64 13/2) -13/2))
(*.f64 (pow.f64 13/2 -1/2) (exp.f64 -13/2))
(+.f64 (exp.f64 (-.f64 (.f64 -1/2 (log.f64 13/2)) 13/2)) (.f64 (-.f64 (log.f64 13/2) 14/13) (.f64 z (exp.f64 (-.f64 (.f64 -1/2 (log.f64 13/2)) 13/2)))))
(+.f64 (exp.f64 (fma.f64 -1/2 (log.f64 13/2) -13/2)) (.f64 (+.f64 (log.f64 13/2) -14/13) (.f64 (exp.f64 (fma.f64 -1/2 (log.f64 13/2) -13/2)) z)))
(.f64 (+.f64 (.f64 (+.f64 (log.f64 13/2) -14/13) z) 1) (*.f64 (pow.f64 13/2 -1/2) (exp.f64 -13/2)))
(.f64 (.f64 (pow.f64 13/2 -1/2) (exp.f64 -13/2)) (fma.f64 (+.f64 (log.f64 13/2) -14/13) z 1))
(+.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 14/13) 2))) (.f64 (pow.f64 z 2) (exp.f64 (-.f64 (.f64 -1/2 (log.f64 13/2)) 13/2)))) (+.f64 (exp.f64 (-.f64 (.f64 -1/2 (log.f64 13/2)) 13/2)) (.f64 (-.f64 (log.f64 13/2) 14/13) (.f64 z (exp.f64 (-.f64 (.f64 -1/2 (log.f64 13/2)) 13/2))))))
(fma.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -14/13) 2))) (.f64 (exp.f64 (fma.f64 -1/2 (log.f64 13/2) -13/2)) (.f64 z z)) (+.f64 (exp.f64 (fma.f64 -1/2 (log.f64 13/2) -13/2)) (.f64 (+.f64 (log.f64 13/2) -14/13) (*.f64 (exp.f64 (fma.f64 -1/2 (log.f64 13/2) -13/2)) z))))
(fma.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -14/13) 2) 27/169) (.f64 (.f64 (pow.f64 13/2 -1/2) (exp.f64 -13/2)) (.f64 z z)) (.f64 (+.f64 (.f64 (+.f64 (log.f64 13/2) -14/13) z) 1) (.f64 (pow.f64 13/2 -1/2) (exp.f64 -13/2))))
(.f64 (.f64 (pow.f64 13/2 -1/2) (exp.f64 -13/2)) (+.f64 (.f64 (+.f64 (log.f64 13/2) -14/13) z) (fma.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -14/13) 2) 27/169) (.f64 z z) 1)))
(+.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 14/13) 2))) (.f64 (pow.f64 z 2) (exp.f64 (-.f64 (.f64 -1/2 (log.f64 13/2)) 13/2)))) (+.f64 (.f64 (exp.f64 (-.f64 (.f64 -1/2 (log.f64 13/2)) 13/2)) (.f64 (pow.f64 z 3) (-.f64 (+.f64 (.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 14/13) 3)) (.f64 27/169 (-.f64 (log.f64 13/2) 14/13))) 82/6591))) (+.f64 (exp.f64 (-.f64 (.f64 -1/2 (log.f64 13/2)) 13/2)) (.f64 (-.f64 (log.f64 13/2) 14/13) (.f64 z (exp.f64 (-.f64 (*.f64 -1/2 (log.f64 13/2)) 13/2)))))))
(fma.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -14/13) 2))) (.f64 (exp.f64 (fma.f64 -1/2 (log.f64 13/2) -13/2)) (.f64 z z)) (fma.f64 (exp.f64 (fma.f64 -1/2 (log.f64 13/2) -13/2)) (.f64 (pow.f64 z 3) (+.f64 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -14/13) 3) (.f64 (+.f64 (log.f64 13/2) -14/13) 27/169)) -82/6591)) (+.f64 (exp.f64 (fma.f64 -1/2 (log.f64 13/2) -13/2)) (.f64 (+.f64 (log.f64 13/2) -14/13) (*.f64 (exp.f64 (fma.f64 -1/2 (log.f64 13/2) -13/2)) z)))))
(+.f64 (.f64 (+.f64 (.f64 (+.f64 (log.f64 13/2) -14/13) z) 1) (.f64 (pow.f64 13/2 -1/2) (exp.f64 -13/2))) (.f64 (.f64 (pow.f64 13/2 -1/2) (exp.f64 -13/2)) (+.f64 (.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -14/13) 2) 27/169) (.f64 z z)) (.f64 (pow.f64 z 3) (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -14/13) 3) (fma.f64 (+.f64 (log.f64 13/2) -14/13) 27/169 -82/6591))))))
(fma.f64 (.f64 (pow.f64 13/2 -1/2) (exp.f64 -13/2)) (.f64 (.f64 z z) (+.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -14/13) 2) 27/169) (.f64 z (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -14/13) 3) (+.f64 (.f64 (log.f64 13/2) 27/169) -1216/6591))))) (.f64 (*.f64 (pow.f64 13/2 -1/2) (exp.f64 -13/2)) (fma.f64 (+.f64 (log.f64 13/2) -14/13) z 1)))
(exp.f64 (-.f64 (*.f64 (-.f64 z 1/2) (log.f64 (+.f64 13/2 z))) (+.f64 13/2 z)))
(exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 13/2 z)) (neg.f64 (+.f64 13/2 z))))
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 -1/2 z)) (exp.f64 (+.f64 13/2 z)))
(*.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (+.f64 -1/2 z)))
(exp.f64 (-.f64 (*.f64 (-.f64 z 1/2) (log.f64 (+.f64 13/2 z))) (+.f64 13/2 z)))
(exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 13/2 z)) (neg.f64 (+.f64 13/2 z))))
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 -1/2 z)) (exp.f64 (+.f64 13/2 z)))
(*.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (+.f64 -1/2 z)))
(exp.f64 (-.f64 (*.f64 (-.f64 z 1/2) (log.f64 (+.f64 13/2 z))) (+.f64 13/2 z)))
(exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 13/2 z)) (neg.f64 (+.f64 13/2 z))))
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 -1/2 z)) (exp.f64 (+.f64 13/2 z)))
(*.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (+.f64 -1/2 z)))
(exp.f64 (-.f64 (*.f64 (-.f64 z 1/2) (log.f64 (+.f64 13/2 z))) (+.f64 13/2 z)))
(exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 13/2 z)) (neg.f64 (+.f64 13/2 z))))
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 -1/2 z)) (exp.f64 (+.f64 13/2 z)))
(*.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (+.f64 -1/2 z)))
(exp.f64 (-.f64 (+.f64 (.f64 -1 z) (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) 13/2))
(exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 13/2 z)) (neg.f64 (+.f64 13/2 z))))
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 -1/2 z)) (exp.f64 (+.f64 13/2 z)))
(*.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (+.f64 -1/2 z)))
(exp.f64 (-.f64 (+.f64 (.f64 -1 z) (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) 13/2))
(exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 13/2 z)) (neg.f64 (+.f64 13/2 z))))
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 -1/2 z)) (exp.f64 (+.f64 13/2 z)))
(*.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (+.f64 -1/2 z)))
(exp.f64 (-.f64 (+.f64 (.f64 -1 z) (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) 13/2))
(exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 13/2 z)) (neg.f64 (+.f64 13/2 z))))
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 -1/2 z)) (exp.f64 (+.f64 13/2 z)))
(*.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (+.f64 -1/2 z)))
(exp.f64 (-.f64 (+.f64 (.f64 -1 z) (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (*.f64 -1 z) 1/2)))) 13/2))
(exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 13/2 z)) (neg.f64 (+.f64 13/2 z))))
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 -1/2 z)) (exp.f64 (+.f64 13/2 z)))
(*.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (+.f64 -1/2 z)))
(-.f64 (*.f64 -1/2 (log.f64 13/2)) 13/2)
(fma.f64 -1/2 (log.f64 13/2) -13/2)
(-.f64 (+.f64 (.f64 -1/2 (log.f64 13/2)) (.f64 (-.f64 (log.f64 13/2) 14/13) z)) 13/2)
(+.f64 (fma.f64 -1/2 (log.f64 13/2) (*.f64 (+.f64 (log.f64 13/2) -14/13) z)) -13/2)
(fma.f64 -1/2 (log.f64 13/2) (fma.f64 (+.f64 (log.f64 13/2) -14/13) z -13/2))
(fma.f64 (+.f64 (log.f64 13/2) -14/13) z (fma.f64 -1/2 (log.f64 13/2) -13/2))
(-.f64 (+.f64 (.f64 27/169 (pow.f64 z 2)) (+.f64 (.f64 -1/2 (log.f64 13/2)) (*.f64 (-.f64 (log.f64 13/2) 14/13) z))) 13/2)
(+.f64 (fma.f64 27/169 (.f64 z z) (fma.f64 -1/2 (log.f64 13/2) (.f64 (+.f64 (log.f64 13/2) -14/13) z))) -13/2)
(fma.f64 27/169 (*.f64 z z) (fma.f64 -1/2 (log.f64 13/2) (fma.f64 (+.f64 (log.f64 13/2) -14/13) z -13/2)))
(fma.f64 z (*.f64 z 27/169) (fma.f64 (+.f64 (log.f64 13/2) -14/13) z (fma.f64 -1/2 (log.f64 13/2) -13/2)))
(-.f64 (+.f64 (.f64 -82/6591 (pow.f64 z 3)) (+.f64 (.f64 27/169 (pow.f64 z 2)) (+.f64 (.f64 -1/2 (log.f64 13/2)) (.f64 (-.f64 (log.f64 13/2) 14/13) z)))) 13/2)
(+.f64 (fma.f64 -82/6591 (pow.f64 z 3) (fma.f64 27/169 (.f64 z z) (fma.f64 -1/2 (log.f64 13/2) (.f64 (+.f64 (log.f64 13/2) -14/13) z)))) -13/2)
(fma.f64 (pow.f64 z 3) -82/6591 (fma.f64 27/169 (*.f64 z z) (fma.f64 -1/2 (log.f64 13/2) (fma.f64 (+.f64 (log.f64 13/2) -14/13) z -13/2))))
(fma.f64 (pow.f64 z 3) -82/6591 (fma.f64 z (*.f64 z 27/169) (fma.f64 (+.f64 (log.f64 13/2) -14/13) z (fma.f64 -1/2 (log.f64 13/2) -13/2))))
(.f64 z (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) 1))
(*.f64 z (fma.f64 -1 (neg.f64 (log.f64 z)) -1))
(*.f64 z (+.f64 -1 (log.f64 z)))
(+.f64 (.f64 z (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) 1)) (*.f64 1/2 (log.f64 (/.f64 1 z))))
(fma.f64 z (fma.f64 -1 (neg.f64 (log.f64 z)) -1) (*.f64 1/2 (neg.f64 (log.f64 z))))
(fma.f64 z (+.f64 -1 (log.f64 z)) (*.f64 1/2 (neg.f64 (log.f64 z))))
(fma.f64 z (+.f64 -1 (log.f64 z)) (*.f64 -1/2 (log.f64 z)))
(-.f64 (+.f64 (.f64 z (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) 1)) (.f64 1/2 (log.f64 (/.f64 1 z)))) (.f64 195/8 (/.f64 1 z)))
(-.f64 (fma.f64 z (fma.f64 -1 (neg.f64 (log.f64 z)) -1) (*.f64 1/2 (neg.f64 (log.f64 z)))) (/.f64 195/8 z))
(fma.f64 z (+.f64 -1 (log.f64 z)) (fma.f64 1/2 (neg.f64 (log.f64 z)) (/.f64 -195/8 z)))
(+.f64 (*.f64 -1/2 (log.f64 z)) (fma.f64 z (+.f64 -1 (log.f64 z)) (/.f64 -195/8 z)))
(fma.f64 -1/2 (log.f64 z) (fma.f64 z (+.f64 -1 (log.f64 z)) (/.f64 -195/8 z)))
(-.f64 (+.f64 (.f64 z (-.f64 (.f64 -1 (log.f64 (/.f64 1 z))) 1)) (+.f64 (.f64 1/2 (log.f64 (/.f64 1 z))) (.f64 4901/48 (/.f64 1 (pow.f64 z 2))))) (*.f64 195/8 (/.f64 1 z)))
(-.f64 (fma.f64 z (fma.f64 -1 (neg.f64 (log.f64 z)) -1) (fma.f64 1/2 (neg.f64 (log.f64 z)) (/.f64 4901/48 (*.f64 z z)))) (/.f64 195/8 z))
(+.f64 (fma.f64 z (+.f64 -1 (log.f64 z)) (fma.f64 1/2 (neg.f64 (log.f64 z)) (/.f64 4901/48 (*.f64 z z)))) (/.f64 -195/8 z))
(+.f64 (.f64 -1/2 (log.f64 z)) (-.f64 (fma.f64 z (+.f64 -1 (log.f64 z)) (/.f64 4901/48 (.f64 z z))) (/.f64 195/8 z)))
(+.f64 (fma.f64 -1/2 (log.f64 z) (/.f64 -195/8 z)) (fma.f64 z (+.f64 -1 (log.f64 z)) (/.f64 4901/48 (*.f64 z z))))
(.f64 -1 (.f64 (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))))) z))
(*.f64 z (fma.f64 -1 (neg.f64 (log.f64 z)) -1))
(*.f64 z (+.f64 -1 (log.f64 z)))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))))) z)) (.f64 -1 (-.f64 (.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))) 13/2))) 13/2)
(fma.f64 z (fma.f64 -1 (neg.f64 (log.f64 z)) -1) (*.f64 1/2 (neg.f64 (log.f64 z))))
(fma.f64 z (+.f64 -1 (log.f64 z)) (*.f64 1/2 (neg.f64 (log.f64 z))))
(fma.f64 z (+.f64 -1 (log.f64 z)) (*.f64 -1/2 (log.f64 z)))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))))) z)) (.f64 -1 (-.f64 (.f64 1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z))))) 13/2))) (+.f64 13/2 (.f64 195/8 (/.f64 1 z))))
(-.f64 (fma.f64 z (fma.f64 -1 (neg.f64 (log.f64 z)) -1) (*.f64 1/2 (neg.f64 (log.f64 z)))) (/.f64 195/8 z))
(fma.f64 z (+.f64 -1 (log.f64 z)) (fma.f64 1/2 (neg.f64 (log.f64 z)) (/.f64 -195/8 z)))
(+.f64 (*.f64 -1/2 (log.f64 z)) (fma.f64 z (+.f64 -1 (log.f64 z)) (/.f64 -195/8 z)))
(fma.f64 -1/2 (log.f64 z) (fma.f64 z (+.f64 -1 (log.f64 z)) (/.f64 -195/8 z)))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))))) z)) (+.f64 (.f64 -1 (-.f64 (.f64 1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z))))) 13/2)) (.f64 4901/48 (/.f64 1 (pow.f64 z 2))))) (+.f64 13/2 (*.f64 195/8 (/.f64 1 z))))
(-.f64 (fma.f64 z (fma.f64 -1 (neg.f64 (log.f64 z)) -1) (fma.f64 1/2 (neg.f64 (log.f64 z)) (/.f64 4901/48 (*.f64 z z)))) (/.f64 195/8 z))
(+.f64 (fma.f64 z (+.f64 -1 (log.f64 z)) (fma.f64 1/2 (neg.f64 (log.f64 z)) (/.f64 4901/48 (*.f64 z z)))) (/.f64 -195/8 z))
(+.f64 (.f64 -1/2 (log.f64 z)) (-.f64 (fma.f64 z (+.f64 -1 (log.f64 z)) (/.f64 4901/48 (.f64 z z))) (/.f64 195/8 z)))
(+.f64 (fma.f64 -1/2 (log.f64 z) (/.f64 -195/8 z)) (fma.f64 z (+.f64 -1 (log.f64 z)) (/.f64 4901/48 (*.f64 z z))))

localize275.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.1b	(exp.f64 (+.f64 z 13/2))
✓	1.3b	(fma.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 1 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))
	2.1b	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))

Compiler

Compiled 454 to 371 computations (18.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(fma.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 1 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))

0.0ms

-inf

(fma.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 1 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))

0.0ms

inf

(fma.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 1 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))

rewrite99.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

608×	`fma-def_binary64`
364×	`fma-neg_binary64`
326×	`log1p-udef_binary64`
325×	`expm1-udef_binary64`
308×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	26
1	381	25
2	5203	25

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

Inputs

(fma.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 1 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 9999999999998099/10000000000000000)) (/.f64 6765203681218851/10000000000000 z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) 2)) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))) (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 3) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) 3)) (+.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (-.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) 2) (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 1 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (+.f64 1 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (exp.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))) (exp.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (+.f64 1 (expm1.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))) (+.f64 1 (expm1.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))) 1))))))

simplify53.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

606×	`cancel-sign-sub-inv_binary64`
536×	`unswap-sqr_binary64`
507×	`fma-neg_binary64`
452×	`associate-/r/_binary64`
349×	`associate-/r*_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	35	138
1	93	138
2	200	138
3	463	135
4	1156	135
5	3890	131

Stop Event

1×	node limit

Counts

44 → 46

Calls

Call 1

Inputs
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 8724775023335764401/10000000000000000)
(-.f64 (+.f64 (.f64 42652334381119581/40000000000000 z) (.f64 6765203681218851/10000000000000 (/.f64 1 z))) 8724775023335764401/10000000000000000)
(-.f64 (+.f64 (.f64 -93017903050015693/80000000000000 (pow.f64 z 2)) (+.f64 (.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 8724775023335764401/10000000000000000)
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 943522900885677/5000000000000 (/.f64 1 z))) (.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 9999999999998099/10000000000000000 (+.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))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 943522900885677/5000000000000 (/.f64 1 z))) (.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 9999999999998099/10000000000000000 (+.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))))

Outputs
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 8724775023335764401/10000000000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) -8724775023335764401/10000000000000000)
(-.f64 (+.f64 (.f64 42652334381119581/40000000000000 z) (.f64 6765203681218851/10000000000000 (/.f64 1 z))) 8724775023335764401/10000000000000000)
(+.f64 (fma.f64 42652334381119581/40000000000000 z (/.f64 6765203681218851/10000000000000 z)) -8724775023335764401/10000000000000000)
(+.f64 (fma.f64 z 42652334381119581/40000000000000 (/.f64 6765203681218851/10000000000000 z)) -8724775023335764401/10000000000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z 42652334381119581/40000000000000 -8724775023335764401/10000000000000000))
(-.f64 (+.f64 (.f64 -93017903050015693/80000000000000 (pow.f64 z 2)) (+.f64 (.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 8724775023335764401/10000000000000000)
(+.f64 (fma.f64 -93017903050015693/80000000000000 (*.f64 z z) (fma.f64 42652334381119581/40000000000000 z (/.f64 6765203681218851/10000000000000 z))) -8724775023335764401/10000000000000000)
(+.f64 (fma.f64 -93017903050015693/80000000000000 (*.f64 z z) (fma.f64 z 42652334381119581/40000000000000 (/.f64 6765203681218851/10000000000000 z))) -8724775023335764401/10000000000000000)
(+.f64 (fma.f64 z 42652334381119581/40000000000000 (/.f64 6765203681218851/10000000000000 z)) (fma.f64 z (*.f64 z -93017903050015693/80000000000000) -8724775023335764401/10000000000000000))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z (fma.f64 z -93017903050015693/80000000000000 42652334381119581/40000000000000) -8724775023335764401/10000000000000000))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 943522900885677/5000000000000 (/.f64 1 z))) (.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1417538204164517/5000000000000 (*.f64 z z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 (/.f64 1417538204164517/5000000000000 z) z)))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (+.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 9999999999998099/10000000000000000 (-.f64 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) (/.f64 1417538204164517/5000000000000 (*.f64 z z))))
(+.f64 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) (-.f64 9999999999998099/10000000000000000 (/.f64 1417538204164517/5000000000000 (*.f64 z z))))
(+.f64 (/.f64 943522900885677/5000000000000 z) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) (/.f64 1417538204164517/5000000000000 (*.f64 z z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 943522900885677/5000000000000 z) (+.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z)))))
(fma.f64 (/.f64 1 (*.f64 z z)) (+.f64 -1417538204164517/5000000000000 (/.f64 1141346561492631/625000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 943522900885677/5000000000000 (/.f64 1 z))) (.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1417538204164517/5000000000000 (*.f64 z z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 (/.f64 1417538204164517/5000000000000 z) z)))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (+.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 9999999999998099/10000000000000000 (-.f64 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) (/.f64 1417538204164517/5000000000000 (*.f64 z z))))
(+.f64 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) (-.f64 9999999999998099/10000000000000000 (/.f64 1417538204164517/5000000000000 (*.f64 z z))))
(+.f64 (/.f64 943522900885677/5000000000000 z) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) (/.f64 1417538204164517/5000000000000 (*.f64 z z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 943522900885677/5000000000000 z) (+.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z)))))
(fma.f64 (/.f64 1 (*.f64 z z)) (+.f64 -1417538204164517/5000000000000 (/.f64 1141346561492631/625000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)))

eval3.5s (9.1%)

Compiler: Compiled 74701 to 62204 computations (16.7% saved)

prune968.0ms (2.5%)

Pruning

148 alts after pruning (141 fresh and 7 done)

	Pruned	Kept	Total
New	834	28	862
Fresh	8	113	121
Picked	1	0	1
Done	3	7	10
Total	846	148	994

Error

0.2b

Counts

994 → 148

Alt Table

Click to see full alt table

Status	Error	Program
	3.8b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) 2) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (pow.f64 (exp.f64 1) (-.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) -13/2) z))))
	4.3b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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)))))
	63.1b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) 2496092394504893/1500000000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
	4.6b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (pow.f64 (sqrt.f64 (fma.f64 (/.f64 1 (+.f64 z 1)) -3147848041806007/2500000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))) 2) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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)))))
	3.9b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (pow.f64 (sqrt.f64 (fma.f64 (/.f64 1 (+.f64 z 2)) 7713234287776531/10000000000000 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) 2) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))
	4.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) (-.f64 z 1/2))))) 3)))
	4.0b	(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (.f64 (.f64 (-.f64 z -1) -2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z))))) (.f64 (.f64 (-.f64 z -1) -2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.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))))
	60.1b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
	4.1b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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)))))
	59.3b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
	6.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) 2) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2)) (cbrt.f64 (+.f64 z 13/2))))))
	28.1b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) 2) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) -13/2) z))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) -13/2) z)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) -13/2) z))))))
	4.2b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 3)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.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 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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)))))
	3.8b	(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 (exp.f64 -13/2) (exp.f64 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 3) (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) 3)) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 2) (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 z -2) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (-.f64 z -2)))))) (/.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))))
	52.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (.f64 z z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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)))))
	4.3b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (+.f64 z 13/2))) (cbrt.f64 (exp.f64 (+.f64 z 13/2)))))))
✓	4.2b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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)))))
	4.2b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 3 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))
	4.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (+.f64 (.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z))))) (*.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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)))))
	4.2b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (pow.f64 (sqrt.f64 (fma.f64 (/.f64 1 (+.f64 z 2)) 7713234287776531/10000000000000 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) 2) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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)))))
	4.0b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (pow.f64 (sqrt.f64 (fma.f64 (/.f64 1 (+.f64 z 1)) -3147848041806007/2500000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))) 2) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))
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	4.5b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))) 2) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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)))))
	4.2b	(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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)))))
✓	3.8b	(.f64 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))) (+.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))))
	4.6b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) 3) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) z) (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) -1/2)))))
	4.0b	(.f64 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 (exp.f64 -13/2) (exp.f64 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (-.f64 z -2))))) 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))))
	5.2b	(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (E.f64) (+.f64 z 13/2)))))
	4.3b	(.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 (/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) 3)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.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 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))))
	3.8b	(.f64 (.f64 (sqrt.f64 2) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))) (+.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))))
	4.7b	(.f64 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 3) 1/3) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))) (+.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))))
	4.1b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) 2) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (pow.f64 (exp.f64 1) (.f64 2 (.f64 1/3 (-.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) -13/2) z)))) (pow.f64 (exp.f64 1) (*.f64 1/3 (-.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) -13/2) z))))))
	5.2b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (+.f64 (.f64 (fma.f64 -3147848041806007/2500000000000 (+.f64 z 2) (.f64 (+.f64 z 1) 7713234287776531/10000000000000)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (.f64 (.f64 (+.f64 z 1) (+.f64 z 2)) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z))))) (.f64 (.f64 (+.f64 z 1) (+.f64 z 2)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (E.f64) (+.f64 z 13/2)))))

Compiler

Compiled 12654 to 10715 computations (15.3% saved)

regimes3.3s (8.6%)

Counts

215 → 2

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) 2496092394504893/1500000000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 z))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (.f64 943522900885677/5000000000000 (/.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
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(.f64 (.f64 (sqrt.f64 2) (.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) (/.f64 (/.f64 (exp.f64 -13/2) (exp.f64 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.f64 z 1) 3))) (-.f64 z -2)) (.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) 7713234287776531/10000000000000)) (.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (-.f64 z -2))) (/.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 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) 2) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (pow.f64 (pow.f64 (exp.f64 1) (fma.f64 (sqrt.f64 (log.f64 (+.f64 z 13/2))) (sqrt.f64 (+.f64 z -1/2)) (sqrt.f64 (+.f64 z 13/2)))) (-.f64 (sqrt.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)))) (sqrt.f64 (+.f64 z 13/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) 2) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (exp.f64 1) (/.f64 (pow.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) 2) (+.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) z) 13/2))) (pow.f64 (exp.f64 1) (/.f64 (pow.f64 (+.f64 z 13/2) 2) (+.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) z) 13/2))))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 (exp.f64 -13/2) (exp.f64 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.f64 z 1) -3) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3)) (+.f64 z 2) (.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) 7713234287776531/10000000000000))) 3) (.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (-.f64 z -2))) (/.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 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) 2) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) -13/2) z))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) -13/2) z)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) -13/2) z))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) 2) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (exp.f64 1) (/.f64 (pow.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) 3) (fma.f64 (+.f64 z 13/2) (+.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) z) 13/2) (pow.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) 2)))) (pow.f64 (exp.f64 1) (/.f64 (pow.f64 (+.f64 z 13/2) 3) (fma.f64 (+.f64 z 13/2) (+.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) z) 13/2) (pow.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) 2)))))))

Outputs

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

Calls

4 calls:

587.0ms	z
481.0ms	(-.f64 z 1)
465.0ms	(.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))))
343.0ms	(-.f64 z 1)

Results

Error	Segments	Branch
2.3b	2	`z`
2.3b	2	(.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	2	`(-.f64 z 1)`
2.3b	2	`(-.f64 z 1)`

Compiler

Compiled 18273 to 15075 computations (17.5% saved)

bsearch7.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	139.158736166194	141.98639550777443

Compiler

Compiled 79 to 67 computations (15.2% saved)

regimes2.2s (5.9%)

Counts

204 → 2

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) 2496092394504893/1500000000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 z))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))
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(.f64 (.f64 (.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 2)) 2)) (sqrt.f64 (cbrt.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 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 2)) 2)) (sqrt.f64 (cbrt.f64 (.f64 (PI.f64) 2)))) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (E.f64) (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) 2) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2)) (cbrt.f64 (+.f64 z 13/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (expm1.f64 (log1p.f64 (fma.f64 (fma.f64 -3147848041806007/2500000000000 (+.f64 z 2) (.f64 (+.f64 z 1) 7713234287776531/10000000000000)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 z) 67652036812175649347802002964249/100000000000000000000000000000) z)) (.f64 (.f64 (+.f64 z 2) (+.f64 z 1)) (fma.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z -3) 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000))))) (.f64 (.f64 (+.f64 z 1) (+.f64 z 2)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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 (pow.f64 (sqrt.f64 (fma.f64 (fma.f64 -3147848041806007/2500000000000 (+.f64 z 2) (.f64 (+.f64 z 1) 7713234287776531/10000000000000)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 z) 67652036812175649347802002964249/100000000000000000000000000000) z)) (.f64 (.f64 (+.f64 z 2) (+.f64 z 1)) (fma.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z -3) 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000)))) 2) (.f64 (.f64 (+.f64 z 1) (+.f64 z 2)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (+.f64 (.f64 (fma.f64 -3147848041806007/2500000000000 (+.f64 z 2) (.f64 (+.f64 z 1) 7713234287776531/10000000000000)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))) (.f64 (.f64 (+.f64 z 1) (+.f64 z 2)) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (.f64 (.f64 (+.f64 z 1) (+.f64 z 2)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2)) (cbrt.f64 (+.f64 z 13/2))))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 (exp.f64 -13/2) (exp.f64 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 3) (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) 3)) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 2) (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 z -2) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 7713234287776531/10000000000000 (-.f64 z -2)))))) (/.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 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (+.f64 (.f64 (fma.f64 -3147848041806007/2500000000000 (+.f64 z 2) (.f64 (+.f64 z 1) 7713234287776531/10000000000000)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))) (.f64 (.f64 (+.f64 z 1) (+.f64 z 2)) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (.f64 (.f64 (+.f64 z 1) (+.f64 z 2)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (cbrt.f64 (exp.f64 (+.f64 z 13/2)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 2) (cbrt.f64 (pow.f64 (exp.f64 2) (+.f64 z 13/2)))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.f64 z 1) 3))) (-.f64 z -2)) (.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) 7713234287776531/10000000000000)) (.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (-.f64 z -2))) (/.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 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (+.f64 (.f64 (+.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 3) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z 2) 3))) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))) (.f64 (+.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2)) (/.f64 -24280089448768304182713669421717/25000000000000000000000000 (.f64 (+.f64 z 1) (+.f64 z 2))))) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (.f64 (+.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2)) (/.f64 -24280089448768304182713669421717/25000000000000000000000000 (.f64 (+.f64 z 1) (+.f64 z 2))))) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 2)) 2)) (sqrt.f64 (cbrt.f64 (.f64 (PI.f64) 2)))) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 (pow.f64 (E.f64) (/.f64 (.f64 z z) (+.f64 z -13/2))) (pow.f64 (E.f64) (/.f64 169/4 (+.f64 z -13/2)))))))

Outputs

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

Calls

4 calls:

412.0ms	(-.f64 z 1)
329.0ms	(-.f64 z 1)
326.0ms	(.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))))
295.0ms	z

Results

Error	Segments	Branch
2.3b	2	`z`
2.3b	2	(.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	2	`(-.f64 z 1)`
2.3b	2	`(-.f64 z 1)`

Compiler

Compiled 16970 to 13993 computations (17.5% saved)

bsearch9.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	139.158736166194	141.98639550777443

Compiler

Compiled 79 to 67 computations (15.2% saved)

regimes1.4s (3.6%)

Counts

165 → 2

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) 2496092394504893/1500000000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 z))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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)))))
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(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))
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(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (+.f64 (/.f64 (+.f64 (.f64 (fma.f64 -3147848041806007/2500000000000 (+.f64 z 2) (.f64 (+.f64 z 1) 7713234287776531/10000000000000)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))) (.f64 (.f64 (+.f64 z 1) (+.f64 z 2)) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (.f64 (.f64 (+.f64 z 1) (+.f64 z 2)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (+.f64 (.f64 (fma.f64 -3147848041806007/2500000000000 (+.f64 z 2) (.f64 (+.f64 z 1) 7713234287776531/10000000000000)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))) (.f64 (.f64 (+.f64 z 1) (+.f64 z 2)) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (.f64 (.f64 (+.f64 z 1) (+.f64 z 2)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (E.f64) (+.f64 z 13/2)))))
(.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 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.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 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 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 3) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z 2) 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 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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 (.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 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) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 z -1) 3))))) (/.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 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (+.f64 (.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))) (.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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)))))

Outputs

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

Calls

4 calls:

245.0ms	(-.f64 z 1)
235.0ms	(.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))))
233.0ms	(-.f64 z 1)
221.0ms	z

Results

Error	Segments	Branch
2.3b	2	`z`
2.3b	2	(.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	2	`(-.f64 z 1)`
2.3b	2	`(-.f64 z 1)`

Compiler

Compiled 13356 to 11028 computations (17.4% saved)

bsearch5.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	139.158736166194	141.98639550777443

Compiler

Compiled 79 to 67 computations (15.2% saved)

regimes250.0ms (0.7%)

Counts

36 → 2

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) 2496092394504893/1500000000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 z))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (.f64 943522900885677/5000000000000 (/.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (.f64 z z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (-.f64 (+.f64 (.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 8724775023335764401/10000000000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (/.f64 1 (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (-.f64 z 1/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 1 (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 3 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 1/3 (*.f64 3 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 1 (neg.f64 (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 (+.f64 z -1) 15/2))) (+.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 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (-.f64 -13/2 z))) (+.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 (-.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 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))))
(.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))) (/.f64 1 (exp.f64 (+.f64 (+.f64 z -1) 15/2)))) (+.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 (-.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 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (.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 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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 (.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 (.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z))) (-.f64 z -1)) (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) -3147848041806007/2500000000000)) (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (-.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))))
(.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 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (.f64 (.f64 (-.f64 z -1) -2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z))))) (.f64 (*.f64 (-.f64 z -1) -2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.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 (-.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))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))

Calls

3 calls:

68.0ms

(-.f64 z 1)

64.0ms

44.0ms

(*.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	2	`z`
2.3b	2	(.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	2	`(-.f64 z 1)`

Compiler

Compiled 2469 to 2069 computations (16.2% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	139.158736166194	141.98639550777443

Compiler

Compiled 79 to 67 computations (15.2% saved)

regimes309.0ms (0.8%)

Counts

35 → 2

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) 2496092394504893/1500000000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 z))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (.f64 943522900885677/5000000000000 (/.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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)))))
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(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (.f64 z z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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)))))
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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 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))))

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

Calls

3 calls:

148.0ms

47.0ms

(*.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))))

42.0ms

(-.f64 z 1)

Results

Error	Segments	Branch
2.4b	2	`z`
2.4b	2	(.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	2	`(-.f64 z 1)`

Compiler

Compiled 2403 to 2015 computations (16.1% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	139.158736166194	141.98639550777443

Compiler

Compiled 79 to 67 computations (15.2% saved)

regimes81.0ms (0.2%)

Counts

28 → 2

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) 2496092394504893/1500000000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 z))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (.f64 943522900885677/5000000000000 (/.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (.f64 z z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (-.f64 (+.f64 (.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 8724775023335764401/10000000000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (/.f64 1 (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (-.f64 z 1/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 1 (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 3 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 1/3 (*.f64 3 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 1 (neg.f64 (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 (+.f64 z -1) 15/2))) (+.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 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (-.f64 -13/2 z))) (+.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 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))

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

Calls

1 calls:

31.0ms

Results

Error	Segments	Branch
2.4b	2	`z`

Compiler

Compiled 1604 to 1332 computations (17% saved)

bsearch1.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	140.158736166194	142.98639550777443

Compiler

Compiled 99 to 87 computations (12.1% saved)

regimes56.0ms (0.1%)

Counts

18 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) 2496092394504893/1500000000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 z))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (.f64 943522900885677/5000000000000 (/.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (.f64 z z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (-.f64 (+.f64 (.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 8724775023335764401/10000000000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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)))))

Outputs

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

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
4.2b	1	`z`

Compiler

Compiled 889 to 737 computations (17.1% saved)

regimes40.0ms (0.1%)

Counts

16 → 2

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) 2496092394504893/1500000000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 z))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (.f64 943522900885677/5000000000000 (/.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (.f64 z z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (-.f64 (+.f64 (.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 8724775023335764401/10000000000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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)))))

Outputs

(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))

(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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)))))

Calls

1 calls:

18.0ms

Results

Error	Segments	Branch
49.0b	2	`z`

Compiler

Compiled 759 to 631 computations (16.9% saved)

bsearch1.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	12.532138862337213	12.548782065350967

Compiler

Compiled 99 to 87 computations (12.1% saved)

regimes46.0ms (0.1%)

Counts

14 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) 2496092394504893/1500000000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 z))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (.f64 943522900885677/5000000000000 (/.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))

Outputs

(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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)))))

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
50.0b	1	`z`

Compiler

Compiled 641 to 537 computations (16.2% saved)

regimes22.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) 2496092394504893/1500000000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 z))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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)))))

Outputs

(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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)))))

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
53.5b	1	`z`

Compiler

Compiled 475 to 400 computations (15.8% saved)

regimes29.0ms (0.1%)

Counts

10 → 2

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) 2496092394504893/1500000000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 z))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))

Outputs

(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))

(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))

Calls

1 calls:

16.0ms

Results

Error	Segments	Branch
56.4b	2	`z`

Compiler

Compiled 424 to 359 computations (15.3% saved)

bsearch1.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	2.9909095330091806	3.0310877231342483

Compiler

Compiled 99 to 87 computations (12.1% saved)

regimes16.0ms (0%)

Counts

7 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) 2496092394504893/1500000000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 z))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 (+.f64 z 13/2)))))

Outputs

(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
59.3b	1	`z`

Compiler

Compiled 279 to 240 computations (14% saved)

regimes9.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) 2496092394504893/1500000000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 z))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))

Outputs

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
63.1b	1	`z`

Compiler

Compiled 151 to 131 computations (13.2% saved)

regimes8.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs

(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) 2496092394504893/1500000000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))

(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 z))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))

(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))

Outputs

(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 z))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
63.1b	1	`z`

Compiler

Compiled 111 to 97 computations (12.6% saved)

simplify103.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

67×	`+-commutative_binary64`
45×	`*-commutative_binary64`
13×	`sub-neg_binary64`
8×	`distribute-neg-in_binary64`
5×	`neg-sub0_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	206	2148
1	330	2146
2	351	2144
3	363	2144
4	368	2144
5	369	2144

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 z 1) 140) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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 (pow.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) 2) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (pow.f64 (exp.f64 1) (.f64 2 (.f64 1/3 (-.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) -13/2) z)))) (pow.f64 (exp.f64 1) (*.f64 1/3 (-.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) -13/2) z)))))))
(if (<=.f64 (-.f64 z 1) 140) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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 (pow.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) 2) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (pow.f64 (exp.f64 1) (-.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) -13/2) z)))))
(if (<=.f64 (-.f64 z 1) 140) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (-.f64 (neg.f64 z) 13/2))))))
(if (<=.f64 (-.f64 z 1) 140) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))))
(if (<=.f64 (-.f64 z 1) 140) (.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 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)))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))))
(if (<=.f64 z 142) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
(if (<=.f64 z 1764848103975813/140737488355328) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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)))))
(if (<=.f64 z 3) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 z))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) 2496092394504893/1500000000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))

Outputs
(if (<=.f64 (-.f64 z 1) 140) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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 (pow.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) 2) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (pow.f64 (exp.f64 1) (.f64 2 (.f64 1/3 (-.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) -13/2) z)))) (pow.f64 (exp.f64 1) (*.f64 1/3 (-.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) -13/2) z)))))))
(if (<=.f64 (+.f64 z -1) 140) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.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 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (pow.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) 2)) (.f64 (pow.f64 (E.f64) (.f64 2 (.f64 1/3 (-.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) -13/2) z)))) (pow.f64 (E.f64) (*.f64 1/3 (-.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) -13/2) z)))))))
(if (<=.f64 (-.f64 z 1) 140) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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 (pow.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) 2) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (pow.f64 (exp.f64 1) (-.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) -13/2) z)))))
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(if (<=.f64 (-.f64 z 1) 140) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (-.f64 (neg.f64 z) 13/2))))))
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(if (<=.f64 z 142) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (+.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (-.f64 -13/2 z))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
(if (<=.f64 z 1764848103975813/140737488355328) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.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))))))
(if (<=.f64 z 1764848103975813/140737488355328) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 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 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 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 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
(if (<=.f64 z 3) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))
(if (<=.f64 z 3) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))) (+.f64 (/.f64 2649225437432109/5000000000000 (.f64 z z)) (/.f64 -883075145810703/5000000000000 z)))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))) (+.f64 (.f64 z 294358381936901/15000000000000) -294358381936901/5000000000000))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))) (+.f64 (.f64 z 294358381936901/15000000000000) -294358381936901/5000000000000)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))) (/.f64 -883075145810703/5000000000000 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 z))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 z))))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) 2496092394504893/1500000000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) 2496092394504893/1500000000000000000000)))))))

Compiler

Compiled 1415 to 1185 computations (16.3% saved)

soundness790.0ms (2.1%)

Algorithm

2×	egg-herbie

Rules

867×	`times-frac_binary64`
867×	`times-frac_binary64`
687×	`fma-def_binary64`
687×	`fma-def_binary64`
654×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	110
1	145	101
2	465	99
3	3026	99
0	56	110
1	145	101
2	465	99
3	3026	99

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 10106 to 8764 computations (13.3% saved)

end1.4s (3.7%)

Compiler: Compiled 1401 to 1152 computations (17.8% saved)