Details

analyze19.0ms (0%)

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)

sample4.6s (11.9%)

Results

3.8s	8256×	body	256	valid
791.0ms	1510×	body	256	infinite
63.0ms	138×	body	256	unsamplable

Bogosity

preprocess62.0ms (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)

simplify42.0ms (0.1%)

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)))))

eval3.0ms (0%)

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

prune74.0ms (0.2%)

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

3.9b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	4.0b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 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))))
▶	4.0b	(.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)))))

Status

Error

Program

▶

4.0b

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

▶

4.0b

(*.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 161 to 139 computations (13.7% saved)

localize177.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))
✓	1.0b	(exp.f64 (+.f64 z 13/2))
✓	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.9b	(/.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)

series10.0ms (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)))
1.0ms	z	@	inf	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))
1.0ms	z	@	-inf	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))
1.0ms	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	@	-inf	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))

rewrite139.0ms (0.4%)

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)))
(sqrt.f64 (*.f64 (PI.f64) 2))
(exp.f64 (+.f64 z 13/2))
(+.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)))))))

simplify84.0ms (0.2%)

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)))

localize437.0ms (1.1%)

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	(exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.9b	(.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)

series12.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	z	@	0	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2))))
1.0ms	z	@	inf	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2))))
1.0ms	z	@	0	(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)))

rewrite77.0ms (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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simplify83.0ms (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)))))

eval953.0ms (2.4%)

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

prune596.0ms (1.5%)

Pruning

75 alts after pruning (74 fresh and 1 done)

	Pruned	Kept	Total
New	232	74	306
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	233	75	308

Error

0.6b

Counts

308 → 75

Alt Table

Click to see full alt table

Status	Error	Program
	54.7b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (exp.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	4.1b	(.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))))
	4.5b	(.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)))))
	4.8b	(.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 (pow.f64 (exp.f64 (+.f64 z 13/2)) 3) 1/3))))
	3.8b	(.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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	4.0b	(.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)))))
	4.1b	(.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))))
	4.1b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (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)))))) (+.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)))))
	4.1b	(.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 (/.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)))))))
	53.5b	(.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)))))
	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 1 (/.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.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))))
	4.5b	(.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))) (pow.f64 (exp.f64 -1) (+.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))))
	4.2b	(.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)) (exp.f64 (+.f64 z 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)) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) 3))))

Compiler

Compiled 12750 to 10851 computations (14.9% saved)

localize248.0ms (0.6%)

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	(exp.f64 (-.f64 -13/2 z))
✓	1.0b	(sqrt.f64 (PI.f64))
✓	1.6b	(/.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)

series6.0ms (0%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	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))

rewrite82.0ms (0.2%)

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

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 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(+.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 (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))))))

((#(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))))))))

simplify70.0ms (0.2%)

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))
(fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 (.f64 (exp.f64 -13/2) (-.f64 (.f64 (+.f64 (log.f64 13/2) -1/13) (.f64 (sqrt.f64 13/2) 2/13)) (sqrt.f64 2/13))) z))
(+.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))))
(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 (fma.f64 (-.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) 1/2) (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)))) (.f64 (.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (sqrt.f64 13/2)) (sqrt.f64 2/13)) (.f64 (sqrt.f64 13/2) (.f64 (.f64 (exp.f64 -13/2) (pow.f64 (sqrt.f64 2/13) 2)) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 2) -27/169))))) (.f64 z z) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))))
(fma.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 z z) (-.f64 (.f64 (exp.f64 -13/2) (.f64 (sqrt.f64 2/13) 1/2)) (fma.f64 (sqrt.f64 13/2) (.f64 2/13 (.f64 (exp.f64 -13/2) (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) -27/169))) (.f64 (-.f64 1/13 (log.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)))) (*.f64 (sqrt.f64 2/13) (sqrt.f64 13/2)))))))))
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(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))

localize234.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))
	1.0b	(exp.f64 (+.f64 z 13/2))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.9b	(/.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)

series1.0ms (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))

rewrite120.0ms (0.3%)

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))))))))

simplify53.0ms (0.1%)

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))

localize279.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(+.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)))))
	0.9b	(+.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))
✓	1.9b	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 z) (exp.f64 13/2)))

Compiler

Compiled 409 to 327 computations (20% saved)

series6.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite98.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

617×	`add-log-exp_binary64`
614×	`add-exp-log_binary64`
614×	`log1p-expm1-u_binary64`
614×	`expm1-log1p-u_binary64`
613×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	88
1	1259	88

Stop Event

1×	node limit

Counts

2 → 21

Calls

Call 1

Inputs

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

(+.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)))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.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 -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 *.f64 (*.f64 (cbrt.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 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (+.f64 (/.f64 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simplify60.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

437×	`associate--l+_binary64`
397×	`fma-neg_binary64`
318×	`cancel-sign-sub-inv_binary64`
298×	`sub-neg_binary64`
265×	`associate--l-_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	689
1	263	673
2	760	659
3	3386	584

Stop Event

1×	node limit

Counts

45 → 45

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

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 (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 (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)))
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(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 (-.f64 (.f64 (/.f64 1/2 (exp.f64 13/2)) (sqrt.f64 2/13)) (.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 z z) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
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(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 (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 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) 1/2)))) (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 (-.f64 (.f64 (/.f64 1/2 (exp.f64 13/2)) (sqrt.f64 2/13)) (.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 z z) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))
(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (*.f64 (exp.f64 z) (exp.f64 13/2)))
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(/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (*.f64 (exp.f64 z) (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)) (*.f64 (exp.f64 z) (exp.f64 13/2)))
(/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z)))
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(+.f64 (/.f64 611458333333720910362579/25000000000000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 4925021701373474946951247/25000000000000000000000 (*.f64 z z))))
(+.f64 (.f64 10831820445529922198405471/25000000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)) (*.f64 4925021701373474946951247/25000000000000000000000 (/.f64 1 (pow.f64 z 2))))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 611458333333720910362579/25000000000000000000000 z) (/.f64 4925021701373474946951247/25000000000000000000000 (*.f64 z z)))) (/.f64 10831820445529922198405471/25000000000000000000000 (pow.f64 z 3)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 611458333333720910362579/25000000000000000000000 z) (/.f64 4925021701373474946951247/25000000000000000000000 (*.f64 z z))) (/.f64 10831820445529922198405471/25000000000000000000000 (pow.f64 z 3))))
(+.f64 (/.f64 611458333333720910362579/25000000000000000000000 z) (+.f64 (/.f64 10831820445529922198405471/25000000000000000000000 (pow.f64 z 3)) (+.f64 9999999999998099/10000000000000000 (/.f64 (/.f64 4925021701373474946951247/25000000000000000000000 z) z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 611458333333720910362579/25000000000000000000000 z) (+.f64 (/.f64 4925021701373474946951247/25000000000000000000000 (*.f64 z z)) (/.f64 10831820445529922198405471/25000000000000000000000 (pow.f64 z 3)))))

localize342.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(exp.f64 (+.f64 z 13/2))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.5b	(expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2))))
✓	1.9b	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2)))))

Compiler

Compiled 418 to 339 computations (18.9% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2)))))
0.0ms	z	@	-inf	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2)))))
0.0ms	z	@	inf	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2)))))
0.0ms	z	@	0	(expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2))))
0.0ms	z	@	-inf	(expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2))))

rewrite93.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	24
1	232	24
2	3142	24

Stop Event

1×	node limit

Counts

2 → 101

Calls

Call 1

Inputs
(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2)))))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2))))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 (+.f64 z 13/2)) 1) -1)))) (#(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 (+.f64 (exp.f64 (+.f64 z 13/2)) 1) 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 (exp.f64 z) (exp.f64 13/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 z) (pow.f64 (exp.f64 1) 13/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 13/2) (exp.f64 z))))) 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13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (+.f64 z 13/2))) (*.f64 (sqrt.f64 (+.f64 z 13/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2)) (cbrt.f64 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2)) (*.f64 (cbrt.f64 (+.f64 z 13/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (+.f64 z 13/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z 13/2))) 1) (sqrt.f64 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z 13/2))) (cbrt.f64 (+.f64 z 13/2))) (cbrt.f64 (sqrt.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z 13/2))) (sqrt.f64 (sqrt.f64 (+.f64 z 13/2)))) (sqrt.f64 (sqrt.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z 13/2))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2)) 1) (cbrt.f64 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 z 13/2))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2)) (cbrt.f64 (sqrt.f64 (+.f64 z 13/2)))) (cbrt.f64 (sqrt.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2))) (cbrt.f64 (cbrt.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 z 13/2)))) (sqrt.f64 (cbrt.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) 1) (+.f64 z 13/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (+.f64 z 13/2))) (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2)) (cbrt.f64 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (+.f64 z 13/2))) (sqrt.f64 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (+.f64 2197/8 (pow.f64 z 3))) (/.f64 1 (-.f64 (fma.f64 z z 169/4) (*.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (fma.f64 z z -169/4)) (/.f64 1 (-.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (+.f64 z 13/2)) 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 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 fma.f64 1 (+.f64 (exp.f64 (+.f64 z 13/2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 (+.f64 z 13/2)) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 (+.f64 z 13/2)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (exp.f64 (+.f64 z 13/2)) 1)) (sqrt.f64 (+.f64 (exp.f64 (+.f64 z 13/2)) 1)) -1)))))

simplify63.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

421×	`associate--l+_binary64`
362×	`fma-neg_binary64`
302×	`cancel-sign-sub-inv_binary64`
291×	`sub-neg_binary64`
272×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	667
1	228	651
2	728	629
3	3391	552

Stop Event

1×	node limit

Counts

125 → 120

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)))

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

localize345.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(+.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	(exp.f64 (+.f64 z 13/2))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.9b	(/.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)

series6.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

(+.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)))))

rewrite111.0ms (0.3%)

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.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))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.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) (-.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 (*.f64 (+.f64 z 2) (+.f64 z 1)) (fma.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z -3) 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000)))) (/.f64 (pow.f64 (*.f64 (*.f64 (+.f64 z 2) (+.f64 z 1)) (fma.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z -3) 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000)) 2) (-.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 (*.f64 (+.f64 z 2) (+.f64 z 1)) (fma.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z -3) 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.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) 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(*.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.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)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))) (#(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 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 (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)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 z) 67652036812175649347802002964249/100000000000000000000000000000) z)) (fma.f64 -3147848041806007/2500000000000 (+.f64 z 2) (*.f64 (+.f64 z 1) 7713234287776531/10000000000000)) (*.f64 (*.f64 (+.f64 z 2) (+.f64 z 1)) (fma.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z -3) 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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 (fma.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z -3) 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000) (*.f64 (+.f64 z 2) (+.f64 z 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))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (+.f64 z 2) (+.f64 z 1)) (fma.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z -3) 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000)) 2)) (cbrt.f64 (*.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 (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 (*.f64 (+.f64 z 2) (+.f64 z 1)) (fma.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z -3) 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 z 2) (+.f64 z 1)) (fma.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z -3) 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000))) (sqrt.f64 (*.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 (sqrt.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)))) (sqrt.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 (*.f64 (+.f64 z 2) (+.f64 z 1)) (fma.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z -3) 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000)))))))

simplify114.0ms (0.3%)

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

eval2.2s (5.7%)

Compiler: Compiled 63569 to 52337 computations (17.7% saved)

prune917.0ms (2.3%)

Pruning

131 alts after pruning (127 fresh and 4 done)

	Pruned	Kept	Total
New	669	77	746
Fresh	19	50	69
Picked	1	0	1
Done	1	4	5
Total	690	131	821

Error

0.4b

Counts

821 → 131

Alt Table

Click to see full alt table

Status	Error	Program
	4.0b	(.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 (+.f64 (exp.f64 (+.f64 z 13/2)) 1) 1))))
	4.3b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (fma.f64 (+.f64 z 1) (.f64 (+.f64 z 2) (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)))) (.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)))))
	4.1b	(.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))))
	4.8b	(.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 (pow.f64 (exp.f64 (+.f64 z 13/2)) 3) 1/3))))
	5.4b	(.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))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 (pow.f64 (exp.f64 1) (/.f64 (.f64 z z) (-.f64 z 13/2))) (pow.f64 (exp.f64 1) (/.f64 169/4 (-.f64 z 13/2)))))))
	4.1b	(.f64 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -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))))
	3.9b	(.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)) (*.f64 (exp.f64 z) (exp.f64 13/2)))))
	4.1b	(.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 (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.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))))
	4.7b	(.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 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (E.f64) (+.f64 z 13/2)))))
	6.7b	(.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 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 z 13/2))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 z 13/2)))))))
	3.8b	(.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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▶	3.6b	(.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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	4.1b	(.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))))
	4.0b	(.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)) (.f64 (exp.f64 z) (exp.f64 13/2)))))
	4.1b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (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)))))) (+.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)))))
	4.1b	(.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 (/.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)))))))
	53.5b	(.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)))))
	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 1 (/.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.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))))
	4.5b	(.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))) (pow.f64 (exp.f64 -1) (+.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))))
	4.0b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (expm1.f64 (log1p.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 -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 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 z) (exp.f64 13/2)))))
	4.2b	(.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)) (exp.f64 (+.f64 z 13/2)))))
	3.9b	(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (.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))))))) (+.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 (+.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 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) 3))))

Compiler

Compiled 22878 to 19356 computations (15.4% saved)

localize206.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (-.f64 (neg.f64 z) 13/2))
	0.9b	(+.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))
✓	2.5b	(exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (-.f64 (neg.f64 z) 13/2)))

Compiler

Compiled 415 to 330 computations (20.5% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite104.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

558×	`unpow-prod-down_binary64`
456×	`log-prod_binary64`
282×	`pow2_binary64`
257×	`prod-diff_binary64`
201×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	249	34
2	3371	34

Stop Event

1×	node limit

Counts

2 → 93

Calls

Call 1

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

Outputs

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

simplify76.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

476×	`fma-def_binary64`
408×	`fma-neg_binary64`
396×	`distribute-rgt-neg-out_binary64`
335×	`distribute-rgt-out_binary64`
330×	`distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	93	631
1	279	544
2	845	519
3	4056	492

Stop Event

1×	node limit

Counts

117 → 124

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

localize131.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(*.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)

series5.0ms (0%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(*.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 (+.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 (+.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))
1.0ms	z	@	0	(/.f64 -883075145810703/5000000000000 (+.f64 z 3))

rewrite83.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

427×	`add-sqr-sqrt_binary64`
409×	`add-log-exp_binary64`
408×	`add-exp-log_binary64`
408×	`log1p-expm1-u_binary64`
408×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	71
1	842	71

Stop Event

1×	node limit

Counts

3 → 30

Calls

Call 1

Inputs

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

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

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

simplify66.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

782×	`fma-def_binary64`
478×	`associate-/r*_binary64`
459×	`distribute-rgt-out_binary64`
413×	`fma-neg_binary64`
327×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	85	592
1	216	590
2	572	528
3	1624	476
4	5805	469

Stop Event

1×	node limit

Counts

54 → 60

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 (sqrt.f64 2/13) (exp.f64 13/2)))
(+.f64 (.f64 6493630508033571946468877/344531250000000000000000 (/.f64 (.f64 z (sqrt.f64 2/13)) (exp.f64 13/2))) (*.f64 -28755590378125365543517613/525000000000000000000000 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(+.f64 (.f64 6493630508033571946468877/344531250000000000000000 (/.f64 (.f64 z (sqrt.f64 2/13)) (exp.f64 13/2))) (+.f64 (.f64 -2938968468395073868984007209/463050000000000000000000000 (/.f64 (.f64 (pow.f64 z 2) (sqrt.f64 2/13)) (exp.f64 13/2))) (*.f64 -28755590378125365543517613/525000000000000000000000 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))
(+.f64 (.f64 6493630508033571946468877/344531250000000000000000 (/.f64 (.f64 z (sqrt.f64 2/13)) (exp.f64 13/2))) (+.f64 (.f64 -2938968468395073868984007209/463050000000000000000000000 (/.f64 (.f64 (pow.f64 z 2) (sqrt.f64 2/13)) (exp.f64 13/2))) (+.f64 (.f64 -28755590378125365543517613/525000000000000000000000 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (.f64 20729704070813637557713537427/9724050000000000000000000000 (/.f64 (*.f64 (pow.f64 z 3) (sqrt.f64 2/13)) (exp.f64 13/2))))))
(*.f64 9999999999998099/10000000000000000 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))
(+.f64 (.f64 9999999999998099/10000000000000000 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (.f64 -4106156171094664089637421/25000000000000000000000 (/.f64 (sqrt.f64 2/13) (*.f64 (exp.f64 13/2) z))))
(+.f64 (.f64 12012712722196059946951247/25000000000000000000000 (/.f64 (sqrt.f64 2/13) (.f64 (exp.f64 13/2) (pow.f64 z 2)))) (+.f64 (.f64 9999999999998099/10000000000000000 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (.f64 -4106156171094664089637421/25000000000000000000000 (/.f64 (sqrt.f64 2/13) (*.f64 (exp.f64 13/2) z)))))
(+.f64 (.f64 12012712722196059946951247/25000000000000000000000 (/.f64 (sqrt.f64 2/13) (.f64 (exp.f64 13/2) (pow.f64 z 2)))) (+.f64 (.f64 -34822042014175317801594529/25000000000000000000000 (/.f64 (sqrt.f64 2/13) (.f64 (exp.f64 13/2) (pow.f64 z 3)))) (+.f64 (.f64 9999999999998099/10000000000000000 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (.f64 -4106156171094664089637421/25000000000000000000000 (/.f64 (sqrt.f64 2/13) (*.f64 (exp.f64 13/2) z))))))
(*.f64 9999999999998099/10000000000000000 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))
(+.f64 (.f64 9999999999998099/10000000000000000 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (.f64 -4106156171094664089637421/25000000000000000000000 (/.f64 (sqrt.f64 2/13) (*.f64 (exp.f64 13/2) z))))
(+.f64 (.f64 12012712722196059946951247/25000000000000000000000 (/.f64 (sqrt.f64 2/13) (.f64 (exp.f64 13/2) (pow.f64 z 2)))) (+.f64 (.f64 9999999999998099/10000000000000000 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (.f64 -4106156171094664089637421/25000000000000000000000 (/.f64 (sqrt.f64 2/13) (*.f64 (exp.f64 13/2) z)))))
(+.f64 (.f64 12012712722196059946951247/25000000000000000000000 (/.f64 (sqrt.f64 2/13) (.f64 (exp.f64 13/2) (pow.f64 z 2)))) (+.f64 (.f64 -34822042014175317801594529/25000000000000000000000 (/.f64 (sqrt.f64 2/13) (.f64 (exp.f64 13/2) (pow.f64 z 3)))) (+.f64 (.f64 9999999999998099/10000000000000000 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (.f64 -4106156171094664089637421/25000000000000000000000 (/.f64 (sqrt.f64 2/13) (*.f64 (exp.f64 13/2) z))))))

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

localize250.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.0b	(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))
	1.9b	(.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 549 to 469 computations (14.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite81.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

480×	`log-prod_binary64`
314×	`pow2_binary64`
266×	`pow-prod-down_binary64`
218×	`expm1-udef_binary64`
218×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	17
1	265	16
2	3215	16

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 1) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) (/.f64 6765203681218851/10000000000000 z)) 9999999999998099/10000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z))))))))) (#(struct:change #<rule egg-rr> (2) 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1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (exp.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (exp.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z))) (+.f64 1 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 z)))) 2))))))

simplify52.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

742×	`distribute-neg-frac_binary64`
536×	`unswap-sqr_binary64`
425×	`fma-def_binary64`
422×	`associate-/r*_binary64`
398×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	138
1	95	138
2	215	138
3	504	135
4	1408	135
5	5258	135

Stop Event

1×	node limit

Counts

47 → 49

Calls

Call 1

Inputs
(/.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 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 12581392167224029901/10000000000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) -12581392167224029901/10000000000000000)
(-.f64 (+.f64 (.f64 3147848041806007/2500000000000 z) (.f64 6765203681218851/10000000000000 (/.f64 1 z))) 12581392167224029901/10000000000000000)
(+.f64 (fma.f64 3147848041806007/2500000000000 z (/.f64 6765203681218851/10000000000000 z)) -12581392167224029901/10000000000000000)
(+.f64 (fma.f64 z 3147848041806007/2500000000000 (/.f64 6765203681218851/10000000000000 z)) -12581392167224029901/10000000000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z 3147848041806007/2500000000000 -12581392167224029901/10000000000000000))
(-.f64 (+.f64 (.f64 3147848041806007/2500000000000 z) (+.f64 (.f64 -3147848041806007/2500000000000 (pow.f64 z 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 12581392167224029901/10000000000000000)
(+.f64 (fma.f64 3147848041806007/2500000000000 z (fma.f64 -3147848041806007/2500000000000 (*.f64 z z) (/.f64 6765203681218851/10000000000000 z))) -12581392167224029901/10000000000000000)
(+.f64 (fma.f64 z 3147848041806007/2500000000000 (fma.f64 -3147848041806007/2500000000000 (*.f64 z z) (/.f64 6765203681218851/10000000000000 z))) -12581392167224029901/10000000000000000)
(+.f64 (fma.f64 z (*.f64 z -3147848041806007/2500000000000) (/.f64 6765203681218851/10000000000000 z)) (fma.f64 z 3147848041806007/2500000000000 -12581392167224029901/10000000000000000))
(+.f64 (fma.f64 z (fma.f64 z -3147848041806007/2500000000000 3147848041806007/2500000000000) (/.f64 6765203681218851/10000000000000 z)) -12581392167224029901/10000000000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z (fma.f64 z -3147848041806007/2500000000000 3147848041806007/2500000000000) -12581392167224029901/10000000000000000))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
(+.f64 9999999999998099/10000000000000000 (/.f64 -5826188486005177/10000000000000 z))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 3147848041806007/2500000000000 (*.f64 z z))) (/.f64 5826188486005177/10000000000000 z))
(+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -5826188486005177/10000000000000 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (/.f64 -5826188486005177/10000000000000 z)))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -5826188486005177/10000000000000 z)) (/.f64 (/.f64 3147848041806007/2500000000000 z) z))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (/.f64 -5826188486005177/10000000000000 z)))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -5826188486005177/10000000000000 z)) (/.f64 3147848041806007/2500000000000 (*.f64 z z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 3147848041806007/2500000000000 (*.f64 z z))) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3))))
(+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3)))))
(+.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -5826188486005177/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3)))))
(-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -5826188486005177/10000000000000 z)) (/.f64 (/.f64 3147848041806007/2500000000000 z) z)) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3)))
(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (/.f64 -5826188486005177/10000000000000 z))) (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3)))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -5826188486005177/10000000000000 z)) (+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
(+.f64 9999999999998099/10000000000000000 (/.f64 -5826188486005177/10000000000000 z))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 3147848041806007/2500000000000 (*.f64 z z))) (/.f64 5826188486005177/10000000000000 z))
(+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -5826188486005177/10000000000000 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (/.f64 -5826188486005177/10000000000000 z)))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -5826188486005177/10000000000000 z)) (/.f64 (/.f64 3147848041806007/2500000000000 z) z))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (/.f64 -5826188486005177/10000000000000 z)))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -5826188486005177/10000000000000 z)) (/.f64 3147848041806007/2500000000000 (*.f64 z z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 3147848041806007/2500000000000 (*.f64 z z))) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3))))
(+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3)))))
(+.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -5826188486005177/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3)))))
(-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -5826188486005177/10000000000000 z)) (/.f64 (/.f64 3147848041806007/2500000000000 z) z)) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3)))
(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (/.f64 -5826188486005177/10000000000000 z))) (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3)))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -5826188486005177/10000000000000 z)) (+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3))))

localize245.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))
	1.0b	(exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.9b	(.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 593 to 508 computations (14.3% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

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

0.0ms

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

0.0ms

inf

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

rewrite75.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

962×	`prod-diff_binary64`
455×	`log-prod_binary64`
382×	`fma-def_binary64`
217×	`log-div_binary64`
210×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	217	13
2	3156	13

Stop Event

1×	node limit

Counts

1 → 77

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) 2) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 6765203681218851/10000000000000 z 6765203681218851/10000000000000)) (/.f64 1 (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.f64 z 1) 3))) (/.f64 1 (+.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (fma.f64 z z z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2))) (/.f64 1 (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 z z z) (fma.f64 z -3147848041806007/2500000000000 (fma.f64 6765203681218851/10000000000000 z 6765203681218851/10000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (fma.f64 z z z)))) (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.f64 z 1) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 z -3147848041806007/2500000000000 (fma.f64 6765203681218851/10000000000000 z 6765203681218851/10000000000000)) (fma.f64 z z z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.f64 z 1) 3))) (+.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (fma.f64 z z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 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simplify63.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

725×	`distribute-neg-frac_binary64`
580×	`times-frac_binary64`
529×	`fma-def_binary64`
442×	`associate-l_binary64`
386×	`associate-/l/_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	38	180
1	105	180
2	243	180
3	570	177
4	1726	173
5	6946	171

Stop Event

1×	node limit

Counts

89 → 91

Calls

Call 1

Inputs
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 3147848041806007/2500000000000)
(-.f64 (+.f64 (.f64 3147848041806007/2500000000000 z) (.f64 6765203681218851/10000000000000 (/.f64 1 z))) 3147848041806007/2500000000000)
(-.f64 (+.f64 (.f64 3147848041806007/2500000000000 z) (+.f64 (.f64 -3147848041806007/2500000000000 (pow.f64 z 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 3147848041806007/2500000000000)
(/.f64 -5826188486005177/10000000000000 z)
(-.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(-.f64 (+.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 4)))) (+.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(/.f64 -5826188486005177/10000000000000 z)
(-.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(-.f64 (+.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 4)))) (+.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (.f64 5826188486005177/10000000000000 (/.f64 1 z))))

Outputs
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 3147848041806007/2500000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) -3147848041806007/2500000000000)
(-.f64 (+.f64 (.f64 3147848041806007/2500000000000 z) (.f64 6765203681218851/10000000000000 (/.f64 1 z))) 3147848041806007/2500000000000)
(+.f64 (fma.f64 3147848041806007/2500000000000 z (/.f64 6765203681218851/10000000000000 z)) -3147848041806007/2500000000000)
(+.f64 (fma.f64 z 3147848041806007/2500000000000 (/.f64 6765203681218851/10000000000000 z)) -3147848041806007/2500000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z 3147848041806007/2500000000000 -3147848041806007/2500000000000))
(-.f64 (+.f64 (.f64 3147848041806007/2500000000000 z) (+.f64 (.f64 -3147848041806007/2500000000000 (pow.f64 z 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 3147848041806007/2500000000000)
(+.f64 (fma.f64 3147848041806007/2500000000000 z (fma.f64 -3147848041806007/2500000000000 (*.f64 z z) (/.f64 6765203681218851/10000000000000 z))) -3147848041806007/2500000000000)
(+.f64 -3147848041806007/2500000000000 (fma.f64 z 3147848041806007/2500000000000 (fma.f64 -3147848041806007/2500000000000 (*.f64 z z) (/.f64 6765203681218851/10000000000000 z))))
(+.f64 (fma.f64 z 3147848041806007/2500000000000 (/.f64 6765203681218851/10000000000000 z)) (fma.f64 z (*.f64 z -3147848041806007/2500000000000) -3147848041806007/2500000000000))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z (fma.f64 z -3147848041806007/2500000000000 3147848041806007/2500000000000) -3147848041806007/2500000000000))
(/.f64 -5826188486005177/10000000000000 z)
(-.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z))
(+.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (/.f64 -5826188486005177/10000000000000 z))
(+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (/.f64 -5826188486005177/10000000000000 z))
(-.f64 (/.f64 -5826188486005177/10000000000000 z) (/.f64 (/.f64 -3147848041806007/2500000000000 z) z))
(-.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(-.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3))))
(+.f64 (-.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3))) (/.f64 -5826188486005177/10000000000000 z))
(-.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (-.f64 (/.f64 3147848041806007/2500000000000 (pow.f64 z 3)) (/.f64 -5826188486005177/10000000000000 z)))
(+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 (/.f64 -5826188486005177/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3))))
(-.f64 (+.f64 (/.f64 -5826188486005177/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3))) (/.f64 (/.f64 -3147848041806007/2500000000000 z) z))
(-.f64 (+.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 4)))) (+.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (-.f64 (/.f64 3147848041806007/2500000000000 (pow.f64 z 4)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3)))))
(+.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (-.f64 (-.f64 (/.f64 3147848041806007/2500000000000 (pow.f64 z 4)) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3))) (/.f64 5826188486005177/10000000000000 z)))
(+.f64 (-.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (-.f64 (/.f64 3147848041806007/2500000000000 (pow.f64 z 3)) (/.f64 -5826188486005177/10000000000000 z))) (/.f64 3147848041806007/2500000000000 (pow.f64 z 4)))
(+.f64 (+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 (/.f64 -5826188486005177/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3)))) (/.f64 3147848041806007/2500000000000 (pow.f64 z 4)))
(+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (fma.f64 (/.f64 1 (pow.f64 z 3)) (+.f64 -3147848041806007/2500000000000 (/.f64 3147848041806007/2500000000000 z)) (/.f64 -5826188486005177/10000000000000 z)))
(+.f64 (-.f64 (/.f64 -5826188486005177/10000000000000 z) (/.f64 (/.f64 -3147848041806007/2500000000000 z) z)) (/.f64 (+.f64 -3147848041806007/2500000000000 (/.f64 3147848041806007/2500000000000 z)) (pow.f64 z 3)))
(/.f64 -5826188486005177/10000000000000 z)
(-.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z))
(+.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (/.f64 -5826188486005177/10000000000000 z))
(+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (/.f64 -5826188486005177/10000000000000 z))
(-.f64 (/.f64 -5826188486005177/10000000000000 z) (/.f64 (/.f64 -3147848041806007/2500000000000 z) z))
(-.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(-.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3))))
(+.f64 (-.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3))) (/.f64 -5826188486005177/10000000000000 z))
(-.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (-.f64 (/.f64 3147848041806007/2500000000000 (pow.f64 z 3)) (/.f64 -5826188486005177/10000000000000 z)))
(+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 (/.f64 -5826188486005177/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3))))
(-.f64 (+.f64 (/.f64 -5826188486005177/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3))) (/.f64 (/.f64 -3147848041806007/2500000000000 z) z))
(-.f64 (+.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 4)))) (+.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (-.f64 (/.f64 3147848041806007/2500000000000 (pow.f64 z 4)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3)))))
(+.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (-.f64 (-.f64 (/.f64 3147848041806007/2500000000000 (pow.f64 z 4)) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3))) (/.f64 5826188486005177/10000000000000 z)))
(+.f64 (-.f64 (/.f64 (/.f64 3147848041806007/2500000000000 z) z) (-.f64 (/.f64 3147848041806007/2500000000000 (pow.f64 z 3)) (/.f64 -5826188486005177/10000000000000 z))) (/.f64 3147848041806007/2500000000000 (pow.f64 z 4)))
(+.f64 (+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 (/.f64 -5826188486005177/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3)))) (/.f64 3147848041806007/2500000000000 (pow.f64 z 4)))
(+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (fma.f64 (/.f64 1 (pow.f64 z 3)) (+.f64 -3147848041806007/2500000000000 (/.f64 3147848041806007/2500000000000 z)) (/.f64 -5826188486005177/10000000000000 z)))
(+.f64 (-.f64 (/.f64 -5826188486005177/10000000000000 z) (/.f64 (/.f64 -3147848041806007/2500000000000 z) z)) (/.f64 (+.f64 -3147848041806007/2500000000000 (/.f64 3147848041806007/2500000000000 z)) (pow.f64 z 3)))

localize448.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.8b	(+.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))
✓	1.9b	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (E.f64) (+.f64 z 13/2)))
✓	2.9b	(pow.f64 (E.f64) (+.f64 z 13/2))

Compiler

Compiled 738 to 568 computations (23% 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))

rewrite67.0ms (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 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(/.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 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-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))))))

simplify56.0ms (0.1%)

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)))

eval3.2s (8.2%)

Compiler: Compiled 68804 to 57304 computations (16.7% saved)

prune785.0ms (2%)

Pruning

149 alts after pruning (143 fresh and 6 done)

	Pruned	Kept	Total
New	722	47	769
Fresh	26	96	122
Picked	0	1	1
Done	3	5	8
Total	751	149	900

Error

0.3b

Counts

900 → 149

Alt Table

Click to see full alt table

Status	Error	Program
	4.0b	(.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 (+.f64 (exp.f64 (+.f64 z 13/2)) 1) 1))))
▶	3.5b	(.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))))) (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (-.f64 (neg.f64 z) 13/2)))))
	4.1b	(.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))))
	4.1b	(.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 -3147848041806007/2500000000000 (+.f64 1 z)) 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))))
	4.8b	(.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 (pow.f64 (exp.f64 (+.f64 z 13/2)) 3) 1/3))))
	53.2b	(.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))))) (exp.f64 (-.f64 (.f64 (log.f64 z) (+.f64 -1/2 z)) z))))
	5.4b	(.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))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 (pow.f64 (exp.f64 1) (/.f64 (.f64 z z) (-.f64 z 13/2))) (pow.f64 (exp.f64 1) (/.f64 169/4 (-.f64 z 13/2)))))))
	4.1b	(.f64 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -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))))
	5.0b	(.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))))) (expm1.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))
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✓	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)) (expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2)))))))
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	3.9b	(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (.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))))))) (+.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 (/.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 (cbrt.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.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))))
	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)) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) 3))))
	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 (/.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)))))))
	53.5b	(.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)))))
	3.7b	(.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))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))
	4.5b	(.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))) (pow.f64 (exp.f64 -1) (+.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))))
	4.1b	(.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 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.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))))
	4.2b	(.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)) (exp.f64 (+.f64 z 13/2)))))

Compiler

Compiled 25411 to 21532 computations (15.3% saved)

localize254.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.7b	(fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (-.f64 (neg.f64 z) 13/2))
✓	0.9b	(+.f64 (/.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))
	2.5b	(exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (-.f64 (neg.f64 z) 13/2)))

Compiler

Compiled 643 to 517 computations (19.6% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite141.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

786×	`fma-def_binary64`
441×	`fma-neg_binary64`
301×	`log1p-udef_binary64`
300×	`expm1-udef_binary64`
223×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	22
1	344	22
2	5254	22

Stop Event

1×	node limit

Counts

1 → 102

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (-.f64 (-.f64 (/.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 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.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 6765203681218851/10000000000000 z)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))) 2) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.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 6765203681218851/10000000000000 z)))) (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 6765203681218851/10000000000000 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 3)) (/.f64 1 (fma.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 6765203681218851/10000000000000 z)) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 2)) (/.f64 1 (-.f64 (-.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 6765203681218851/10000000000000 z)) (/.f64 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7713234287776531/10000000000000 (+.f64 z 2))) 3)) (fma.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (/.f64 6765203681218851/10000000000000 z)) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 2) (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)) (*.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 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simplify59.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

818×	`distribute-neg-frac_binary64`
488×	`fma-def_binary64`
434×	`associate-l_binary64`
419×	`times-frac_binary64`
343×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	180
1	104	180
2	238	180
3	577	177
4	1733	177
5	6631	177

Stop Event

1×	node limit

Counts

114 → 116

Calls

Call 1

Inputs
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 698782001866861/800000000000)
(-.f64 (+.f64 (.f64 42652334381119581/40000000000000 z) (.f64 6765203681218851/10000000000000 (/.f64 1 z))) 698782001866861/800000000000)
(-.f64 (+.f64 (.f64 -93017903050015693/80000000000000 (pow.f64 z 2)) (+.f64 (.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 698782001866861/800000000000)
(/.f64 943522900885677/5000000000000 z)
(-.f64 (.f64 943522900885677/5000000000000 (/.f64 1 z)) (.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (.f64 943522900885677/5000000000000 (/.f64 1 z))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (.f64 943522900885677/5000000000000 (/.f64 1 z))) (+.f64 (.f64 2455724106749411/500000000000 (/.f64 1 (pow.f64 z 4))) (.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2)))))
(/.f64 943522900885677/5000000000000 z)
(-.f64 (.f64 943522900885677/5000000000000 (/.f64 1 z)) (.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (.f64 943522900885677/5000000000000 (/.f64 1 z))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (.f64 943522900885677/5000000000000 (/.f64 1 z))) (+.f64 (.f64 2455724106749411/500000000000 (/.f64 1 (pow.f64 z 4))) (.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2)))))

Outputs
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 698782001866861/800000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) -698782001866861/800000000000)
(-.f64 (+.f64 (.f64 42652334381119581/40000000000000 z) (.f64 6765203681218851/10000000000000 (/.f64 1 z))) 698782001866861/800000000000)
(+.f64 (fma.f64 42652334381119581/40000000000000 z (/.f64 6765203681218851/10000000000000 z)) -698782001866861/800000000000)
(+.f64 (fma.f64 z 42652334381119581/40000000000000 (/.f64 6765203681218851/10000000000000 z)) -698782001866861/800000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z 42652334381119581/40000000000000 -698782001866861/800000000000))
(-.f64 (+.f64 (.f64 -93017903050015693/80000000000000 (pow.f64 z 2)) (+.f64 (.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 698782001866861/800000000000)
(+.f64 (fma.f64 -93017903050015693/80000000000000 (*.f64 z z) (fma.f64 42652334381119581/40000000000000 z (/.f64 6765203681218851/10000000000000 z))) -698782001866861/800000000000)
(+.f64 (fma.f64 -93017903050015693/80000000000000 (*.f64 z z) (fma.f64 z 42652334381119581/40000000000000 (/.f64 6765203681218851/10000000000000 z))) -698782001866861/800000000000)
(+.f64 (fma.f64 z 42652334381119581/40000000000000 (/.f64 6765203681218851/10000000000000 z)) (fma.f64 z (*.f64 z -93017903050015693/80000000000000) -698782001866861/800000000000))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z (fma.f64 z -93017903050015693/80000000000000 42652334381119581/40000000000000) -698782001866861/800000000000))
(/.f64 943522900885677/5000000000000 z)
(-.f64 (.f64 943522900885677/5000000000000 (/.f64 1 z)) (.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1417538204164517/5000000000000 (*.f64 z z)))
(+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 -1417538204164517/5000000000000 (*.f64 z z)))
(-.f64 (+.f64 (.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (.f64 943522900885677/5000000000000 (/.f64 1 z))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))))
(+.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (-.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1417538204164517/5000000000000 (*.f64 z z))))
(+.f64 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))) (/.f64 1141346561492631/625000000000 (pow.f64 z 3)))
(+.f64 (-.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1417538204164517/5000000000000 (*.f64 z z))) (/.f64 1141346561492631/625000000000 (pow.f64 z 3)))
(+.f64 (/.f64 943522900885677/5000000000000 z) (.f64 (/.f64 -1 (.f64 z z)) (+.f64 1417538204164517/5000000000000 (/.f64 -1141346561492631/625000000000 z))))
(-.f64 (+.f64 (.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (.f64 943522900885677/5000000000000 (/.f64 1 z))) (+.f64 (.f64 2455724106749411/500000000000 (/.f64 1 (pow.f64 z 4))) (.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2)))))
(-.f64 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) (+.f64 (/.f64 1417538204164517/5000000000000 (*.f64 z z)) (/.f64 2455724106749411/500000000000 (pow.f64 z 4))))
(-.f64 (+.f64 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) (/.f64 2455724106749411/500000000000 (pow.f64 z 4)))
(+.f64 (/.f64 943522900885677/5000000000000 z) (+.f64 (/.f64 -1417538204164517/5000000000000 (*.f64 z z)) (-.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (/.f64 2455724106749411/500000000000 (pow.f64 z 4)))))
(+.f64 (/.f64 943522900885677/5000000000000 z) (+.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (+.f64 (/.f64 -1417538204164517/5000000000000 (*.f64 z z)) (/.f64 -2455724106749411/500000000000 (pow.f64 z 4)))))
(/.f64 943522900885677/5000000000000 z)
(-.f64 (.f64 943522900885677/5000000000000 (/.f64 1 z)) (.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1417538204164517/5000000000000 (*.f64 z z)))
(+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 -1417538204164517/5000000000000 (*.f64 z z)))
(-.f64 (+.f64 (.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (.f64 943522900885677/5000000000000 (/.f64 1 z))) (*.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2))))
(+.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (-.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1417538204164517/5000000000000 (*.f64 z z))))
(+.f64 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))) (/.f64 1141346561492631/625000000000 (pow.f64 z 3)))
(+.f64 (-.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1417538204164517/5000000000000 (*.f64 z z))) (/.f64 1141346561492631/625000000000 (pow.f64 z 3)))
(+.f64 (/.f64 943522900885677/5000000000000 z) (.f64 (/.f64 -1 (.f64 z z)) (+.f64 1417538204164517/5000000000000 (/.f64 -1141346561492631/625000000000 z))))
(-.f64 (+.f64 (.f64 1141346561492631/625000000000 (/.f64 1 (pow.f64 z 3))) (.f64 943522900885677/5000000000000 (/.f64 1 z))) (+.f64 (.f64 2455724106749411/500000000000 (/.f64 1 (pow.f64 z 4))) (.f64 1417538204164517/5000000000000 (/.f64 1 (pow.f64 z 2)))))
(-.f64 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) (+.f64 (/.f64 1417538204164517/5000000000000 (*.f64 z z)) (/.f64 2455724106749411/500000000000 (pow.f64 z 4))))
(-.f64 (+.f64 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))) (/.f64 1141346561492631/625000000000 (pow.f64 z 3))) (/.f64 2455724106749411/500000000000 (pow.f64 z 4)))
(+.f64 (/.f64 943522900885677/5000000000000 z) (+.f64 (/.f64 -1417538204164517/5000000000000 (*.f64 z z)) (-.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (/.f64 2455724106749411/500000000000 (pow.f64 z 4)))))
(+.f64 (/.f64 943522900885677/5000000000000 z) (+.f64 (/.f64 1141346561492631/625000000000 (pow.f64 z 3)) (+.f64 (/.f64 -1417538204164517/5000000000000 (*.f64 z z)) (/.f64 -2455724106749411/500000000000 (pow.f64 z 4)))))

localize26.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.0b	(/.f64 9999999999998099/10000000000000000 (exp.f64 13/2))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 40 to 37 computations (7.5% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite61.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

452×	`add-sqr-sqrt_binary64`
450×	`pow1_binary64`
432×	`*-un-lft-identity_binary64`
429×	`add-log-exp_binary64`
429×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	105	6
2	1166	6

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(/.f64 9999999999998099/10000000000000000 (exp.f64 13/2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 9999999999998099/10000000000000000 (exp.f64 -13/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 9999999999998099/10000000000000000 (exp.f64 -13/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 -13/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 9999999999998099/10000000000000000 (exp.f64 -13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 -13/2))) (cbrt.f64 (/.f64 99999999999961980000000003613801/100000000000000000000000000000000 (exp.f64 13))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 99999999999961980000000003613801/100000000000000000000000000000000 (exp.f64 13))) (cbrt.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 -13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 -13/2))) (sqrt.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 -13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -9999999999998099/10000000000000000 (/.f64 1 (neg.f64 (exp.f64 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -13/2) 9999999999998099/10000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 -13/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 -13/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 -13/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 -13/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 13/2) 10000000000000000/9999999999998099) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 99999999999961980000000003613801/100000000000000000000000000000000 (exp.f64 13)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 9999999999998099/10000000000000000) (exp.f64 -13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 -13/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 -13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 -13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 9999999999998099/10000000000000000) -13/2))))))

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

localize302.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(-.f64 (-.f64 -13/2 z) (*.f64 (-.f64 1/2 z) (log.f64 (+.f64 z 13/2))))
	0.9b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2)))
	1.0b	(sqrt.f64 (PI.f64))
✓	2.5b	(exp.f64 (-.f64 (-.f64 -13/2 z) (*.f64 (-.f64 1/2 z) (log.f64 (+.f64 z 13/2)))))

Compiler

Compiled 588 to 498 computations (15.3% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite96.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

608×	`log-prod_binary64`
391×	`fma-def_binary64`
365×	`pow2_binary64`
252×	`expm1-udef_binary64`
252×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	281	36
2	3868	34

Stop Event

1×	node limit

Counts

2 → 142

Calls

Call 1

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

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

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simplify119.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

663×	`fma-def_binary64`
566×	`times-frac_binary64`
366×	`unsub-neg_binary64`
323×	`associate-r_binary64`
317×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	708
1	323	600
2	1096	527
3	5419	505

Stop Event

1×	node limit

Counts

166 → 173

Calls

Call 1

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

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

localize287.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(exp.f64 (neg.f64 (+.f64 z 6)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.0b	(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))
✓	1.9b	(.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)))

Compiler

Compiled 553 to 471 computations (14.8% saved)

series7.0ms (0%)

Counts

2 → 24

Calls

6 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))) (.f64 (exp.f64 (neg.f64 (+.f64 z 6))) (exp.f64 -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))) (.f64 (exp.f64 (neg.f64 (+.f64 z 6))) (exp.f64 -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))) (.f64 (exp.f64 (neg.f64 (+.f64 z 6))) (exp.f64 -1/2)))
0.0ms	z	@	0	(exp.f64 (neg.f64 (+.f64 z 6)))
0.0ms	z	@	-inf	(exp.f64 (neg.f64 (+.f64 z 6)))

rewrite79.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

398×	`log1p-udef_binary64`
377×	`prod-diff_binary64`
257×	`add-sqr-sqrt_binary64`
244×	`pow1_binary64`
243×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	43
1	523	33
2	6825	33

Stop Event

1×	node limit

Counts

2 → 45

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 z -11/2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 z -11/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 z -11/2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 z -11/2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 z -11/2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 z -11/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (sqrt.f64 (*.f64 (PI.f64) 2))) (exp.f64 (-.f64 z -11/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 z -11/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 z -11/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 3) (pow.f64 (exp.f64 (-.f64 z -11/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 z -11/2)) 3) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 z -11/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 z -11/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) (-.f64 z -11/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) (-.f64 z -11/2)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 z 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (+.f64 z 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (+.f64 z 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 7) (exp.f64 (+.f64 z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 z) (exp.f64 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (+.f64 z -1)) (exp.f64 7))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 6) (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (+.f64 z 6))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z 6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z 6))) 2) (cbrt.f64 (exp.f64 (+.f64 z 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (+.f64 z 6))) (sqrt.f64 (exp.f64 (+.f64 z 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 z)) (exp.f64 -6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (exp.f64 (+.f64 z 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 (+.f64 z 6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 z) (exp.f64 -6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (exp.f64 (+.f64 z 6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 z 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 z 6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (+.f64 z 6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (+.f64 z 6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 z 6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (+.f64 z 6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (+.f64 z 6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z 6)) 2)) (cbrt.f64 (+.f64 z 6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (+.f64 z 6))) (sqrt.f64 (+.f64 z 6)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (+.f64 z 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (+.f64 z 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 z 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (+.f64 z 6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (+.f64 z 6))))))))

simplify64.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

827×	`fma-def_binary64`
469×	`fma-neg_binary64`
427×	`*-commutative_binary64`
388×	`distribute-rgt-in_binary64`
387×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	966
1	343	779
2	1387	680
3	5945	676

Stop Event

1×	node limit

Counts

69 → 66

Calls

Call 1

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

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

localize256.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(exp.f64 (-.f64 -13/2 z))
	1.0b	(sqrt.f64 (PI.f64))
✓	1.6b	(/.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 3) 1/3) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z)))
✓	3.0b	(pow.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 3) 1/3)

Compiler

Compiled 601 to 512 computations (14.8% saved)

series16.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	z	@	inf	(pow.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 3) 1/3)
3.0ms	z	@	0	(pow.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 3) 1/3)
2.0ms	z	@	-inf	(pow.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 3) 1/3)
2.0ms	z	@	inf	(/.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 3) 1/3) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z)))
1.0ms	z	@	0	(/.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 3) 1/3) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z)))

rewrite77.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

640×	`log-prod_binary64`
288×	`prod-diff_binary64`
263×	`expm1-udef_binary64`
263×	`log1p-udef_binary64`
257×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	24
1	342	24
2	4135	24

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 3) 1/3)
(/.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 3) 1/3) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z)))

Outputs

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

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

simplify59.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

820×	`fma-def_binary64`
613×	`distribute-rgt-in_binary64`
605×	`distribute-lft-in_binary64`
246×	`cancel-sign-sub-inv_binary64`
211×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	144	1175
1	466	1029
2	1790	904

Stop Event

1×	node limit

Counts

85 → 81

Calls

Call 1

Inputs
(exp.f64 -13/2)
(+.f64 (.f64 1/3 (.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (exp.f64 -13/2) 3)) (*.f64 -2 (pow.f64 (exp.f64 -13/2) 3))) z) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 -13/2) 2)) 1/3))) (exp.f64 -13/2))
(+.f64 (.f64 1/3 (.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (exp.f64 -13/2) 3)) (.f64 -2 (pow.f64 (exp.f64 -13/2) 3))) z) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 -13/2) 2)) 1/3))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/2 (pow.f64 (exp.f64 -13/2) 3)) (.f64 4 (pow.f64 (exp.f64 -13/2) 3))) (.f64 1/3 (.f64 (pow.f64 (+.f64 (.f64 -1 (pow.f64 (exp.f64 -13/2) 3)) (*.f64 -2 (pow.f64 (exp.f64 -13/2) 3))) 2) (pow.f64 (/.f64 1 (exp.f64 -13/2)) 1/3)))) (pow.f64 z 2)) (pow.f64 (exp.f64 -13/2) 2))) (exp.f64 -13/2)))
(+.f64 (.f64 1/3 (.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (exp.f64 -13/2) 3)) (.f64 -2 (pow.f64 (exp.f64 -13/2) 3))) z) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 -13/2) 2)) 1/3))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -1 (pow.f64 (exp.f64 -13/2) 3)) (+.f64 (.f64 -1/6 (pow.f64 (exp.f64 -13/2) 3)) (+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (exp.f64 -13/2) 2)) (.f64 -1/3 (pow.f64 (exp.f64 -13/2) 2))) (exp.f64 -13/2)) (.f64 -2 (pow.f64 (exp.f64 -13/2) 3))))) (+.f64 (.f64 2/3 (.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (exp.f64 -13/2) 3)) (.f64 -2 (pow.f64 (exp.f64 -13/2) 3))) (-.f64 (+.f64 (.f64 1/2 (pow.f64 (exp.f64 -13/2) 3)) (.f64 4 (pow.f64 (exp.f64 -13/2) 3))) (.f64 1/3 (.f64 (pow.f64 (+.f64 (.f64 -1 (pow.f64 (exp.f64 -13/2) 3)) (.f64 -2 (pow.f64 (exp.f64 -13/2) 3))) 2) (pow.f64 (/.f64 1 (exp.f64 -13/2)) 1/3))))) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 -13/2) 5)) 1/3))) (.f64 1/27 (/.f64 (pow.f64 (+.f64 (.f64 -1 (pow.f64 (exp.f64 -13/2) 3)) (.f64 -2 (pow.f64 (exp.f64 -13/2) 3))) 3) (pow.f64 (exp.f64 -13/2) 2))))) (pow.f64 z 3)) (pow.f64 (exp.f64 -13/2) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/2 (pow.f64 (exp.f64 -13/2) 3)) (.f64 4 (pow.f64 (exp.f64 -13/2) 3))) (.f64 1/3 (.f64 (pow.f64 (+.f64 (.f64 -1 (pow.f64 (exp.f64 -13/2) 3)) (*.f64 -2 (pow.f64 (exp.f64 -13/2) 3))) 2) (pow.f64 (/.f64 1 (exp.f64 -13/2)) 1/3)))) (pow.f64 z 2)) (pow.f64 (exp.f64 -13/2) 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 (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 (sqrt.f64 2/13) (exp.f64 -13/2)) (.f64 (pow.f64 z 2) (-.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 (.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 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (.f64 (pow.f64 z 2) (-.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 -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 (-.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)))))) (sqrt.f64 2/13)))) (+.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 (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 (sqrt.f64 13/2) (.f64 (pow.f64 (sqrt.f64 2/13) 2) (.f64 (exp.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)))))))))) (pow.f64 z 3)))))
(/.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))))

Outputs
(exp.f64 -13/2)
(+.f64 (.f64 1/3 (.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (exp.f64 -13/2) 3)) (*.f64 -2 (pow.f64 (exp.f64 -13/2) 3))) z) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 -13/2) 2)) 1/3))) (exp.f64 -13/2))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 (exp.f64 -13/2) 3) -3) (*.f64 z (cbrt.f64 (/.f64 1 (pow.f64 (exp.f64 -13/2) 2))))) (exp.f64 -13/2))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 (exp.f64 -13/2) 3) -3) (*.f64 z (cbrt.f64 (/.f64 1 (exp.f64 -13))))) (exp.f64 -13/2))
(fma.f64 1/3 (.f64 (.f64 (exp.f64 -39/2) (*.f64 -3 z)) (cbrt.f64 (exp.f64 13))) (exp.f64 -13/2))
(+.f64 (.f64 1/3 (.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (exp.f64 -13/2) 3)) (.f64 -2 (pow.f64 (exp.f64 -13/2) 3))) z) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 -13/2) 2)) 1/3))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/2 (pow.f64 (exp.f64 -13/2) 3)) (.f64 4 (pow.f64 (exp.f64 -13/2) 3))) (.f64 1/3 (.f64 (pow.f64 (+.f64 (.f64 -1 (pow.f64 (exp.f64 -13/2) 3)) (*.f64 -2 (pow.f64 (exp.f64 -13/2) 3))) 2) (pow.f64 (/.f64 1 (exp.f64 -13/2)) 1/3)))) (pow.f64 z 2)) (pow.f64 (exp.f64 -13/2) 2))) (exp.f64 -13/2)))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 (exp.f64 -13/2) 3) -3) (.f64 z (cbrt.f64 (/.f64 1 (pow.f64 (exp.f64 -13/2) 2))))) (fma.f64 1/3 (/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 -13/2) 3) 9/2) (.f64 (.f64 1/3 (pow.f64 (.f64 (pow.f64 (exp.f64 -13/2) 3) -3) 2)) (cbrt.f64 (exp.f64 13/2)))) (/.f64 (pow.f64 (exp.f64 -13/2) 2) (.f64 z z))) (exp.f64 -13/2)))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 (exp.f64 -13/2) 3) -3) (.f64 z (cbrt.f64 (/.f64 1 (exp.f64 -13))))) (fma.f64 1/3 (.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 -13/2) 3) 9/2 (.f64 (.f64 -1/3 (cbrt.f64 (exp.f64 13/2))) (pow.f64 (.f64 (pow.f64 (exp.f64 -13/2) 3) -3) 2))) (exp.f64 -13)) (.f64 z z)) (exp.f64 -13/2)))
(fma.f64 1/3 (fma.f64 (exp.f64 -39/2) (.f64 -3 (.f64 z (cbrt.f64 (exp.f64 13)))) (.f64 (/.f64 (fma.f64 (exp.f64 -39/2) 9/2 (.f64 (cbrt.f64 (exp.f64 13/2)) (.f64 (.f64 (pow.f64 (exp.f64 -13/2) 6) 9) -1/3))) (exp.f64 -13)) (*.f64 z z))) (exp.f64 -13/2))
(+.f64 (.f64 1/3 (.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (exp.f64 -13/2) 3)) (.f64 -2 (pow.f64 (exp.f64 -13/2) 3))) z) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 -13/2) 2)) 1/3))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -1 (pow.f64 (exp.f64 -13/2) 3)) (+.f64 (.f64 -1/6 (pow.f64 (exp.f64 -13/2) 3)) (+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (exp.f64 -13/2) 2)) (.f64 -1/3 (pow.f64 (exp.f64 -13/2) 2))) (exp.f64 -13/2)) (.f64 -2 (pow.f64 (exp.f64 -13/2) 3))))) (+.f64 (.f64 2/3 (.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (exp.f64 -13/2) 3)) (.f64 -2 (pow.f64 (exp.f64 -13/2) 3))) (-.f64 (+.f64 (.f64 1/2 (pow.f64 (exp.f64 -13/2) 3)) (.f64 4 (pow.f64 (exp.f64 -13/2) 3))) (.f64 1/3 (.f64 (pow.f64 (+.f64 (.f64 -1 (pow.f64 (exp.f64 -13/2) 3)) (.f64 -2 (pow.f64 (exp.f64 -13/2) 3))) 2) (pow.f64 (/.f64 1 (exp.f64 -13/2)) 1/3))))) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 -13/2) 5)) 1/3))) (.f64 1/27 (/.f64 (pow.f64 (+.f64 (.f64 -1 (pow.f64 (exp.f64 -13/2) 3)) (.f64 -2 (pow.f64 (exp.f64 -13/2) 3))) 3) (pow.f64 (exp.f64 -13/2) 2))))) (pow.f64 z 3)) (pow.f64 (exp.f64 -13/2) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/2 (pow.f64 (exp.f64 -13/2) 3)) (.f64 4 (pow.f64 (exp.f64 -13/2) 3))) (.f64 1/3 (.f64 (pow.f64 (+.f64 (.f64 -1 (pow.f64 (exp.f64 -13/2) 3)) (*.f64 -2 (pow.f64 (exp.f64 -13/2) 3))) 2) (pow.f64 (/.f64 1 (exp.f64 -13/2)) 1/3)))) (pow.f64 z 2)) (pow.f64 (exp.f64 -13/2) 2))) (exp.f64 -13/2))))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 (exp.f64 -13/2) 3) -3) (.f64 z (cbrt.f64 (/.f64 1 (pow.f64 (exp.f64 -13/2) 2))))) (fma.f64 1/3 (/.f64 (-.f64 (fma.f64 -1 (pow.f64 (exp.f64 -13/2) 3) (fma.f64 -1/6 (pow.f64 (exp.f64 -13/2) 3) (fma.f64 (.f64 (pow.f64 (exp.f64 -13/2) 2) -4/3) (exp.f64 -13/2) (.f64 (pow.f64 (exp.f64 -13/2) 3) -2)))) (fma.f64 2/3 (.f64 (.f64 (pow.f64 (exp.f64 -13/2) 3) -3) (.f64 (-.f64 (.f64 (pow.f64 (exp.f64 -13/2) 3) 9/2) (.f64 (.f64 1/3 (pow.f64 (.f64 (pow.f64 (exp.f64 -13/2) 3) -3) 2)) (cbrt.f64 (exp.f64 13/2)))) (cbrt.f64 (/.f64 1 (pow.f64 (exp.f64 -13/2) 5))))) (.f64 1/27 (/.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 -13/2) 3) -3) 3) (pow.f64 (exp.f64 -13/2) 2))))) (/.f64 (pow.f64 (exp.f64 -13/2) 2) (pow.f64 z 3))) (fma.f64 1/3 (/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 -13/2) 3) 9/2) (.f64 (.f64 1/3 (pow.f64 (.f64 (pow.f64 (exp.f64 -13/2) 3) -3) 2)) (cbrt.f64 (exp.f64 13/2)))) (/.f64 (pow.f64 (exp.f64 -13/2) 2) (*.f64 z z))) (exp.f64 -13/2))))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 (exp.f64 -13/2) 3) -3) (.f64 z (cbrt.f64 (/.f64 1 (exp.f64 -13))))) (fma.f64 1/3 (.f64 (/.f64 (+.f64 (.f64 (pow.f64 (exp.f64 -13/2) 3) -7/6) (-.f64 (fma.f64 (pow.f64 (exp.f64 -13/2) 3) -2 (.f64 (pow.f64 (exp.f64 -13/2) 3) -4/3)) (fma.f64 1/27 (/.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 -13/2) 3) 3) -27) (exp.f64 -13)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (exp.f64 -13/2) 5))) (.f64 (.f64 2/3 (.f64 (pow.f64 (exp.f64 -13/2) 3) -3)) (fma.f64 (pow.f64 (exp.f64 -13/2) 3) 9/2 (.f64 (.f64 -1/3 (cbrt.f64 (exp.f64 13/2))) (pow.f64 (.f64 (pow.f64 (exp.f64 -13/2) 3) -3) 2)))))))) (exp.f64 -13)) (pow.f64 z 3)) (fma.f64 1/3 (.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 -13/2) 3) 9/2 (.f64 (.f64 -1/3 (cbrt.f64 (exp.f64 13/2))) (pow.f64 (.f64 (pow.f64 (exp.f64 -13/2) 3) -3) 2))) (exp.f64 -13)) (*.f64 z z)) (exp.f64 -13/2))))
(fma.f64 1/3 (.f64 (/.f64 (-.f64 (fma.f64 (exp.f64 -39/2) -7/6 (.f64 (exp.f64 -39/2) -10/3)) (fma.f64 (.f64 2/3 (.f64 (exp.f64 -39/2) -3)) (.f64 (fma.f64 (exp.f64 -39/2) 9/2 (.f64 (cbrt.f64 (exp.f64 13/2)) (.f64 (.f64 (pow.f64 (exp.f64 -13/2) 6) 9) -1/3))) (cbrt.f64 (/.f64 1 (pow.f64 (exp.f64 -13/2) 5)))) (.f64 (/.f64 1/27 (exp.f64 -13)) (pow.f64 (.f64 (exp.f64 -39/2) -3) 3)))) (exp.f64 -13)) (pow.f64 z 3)) (fma.f64 1/3 (fma.f64 (exp.f64 -39/2) (.f64 -3 (.f64 z (cbrt.f64 (exp.f64 13)))) (.f64 (/.f64 (fma.f64 (exp.f64 -39/2) 9/2 (.f64 (cbrt.f64 (exp.f64 13/2)) (.f64 (.f64 (pow.f64 (exp.f64 -13/2) 6) 9) -1/3))) (exp.f64 -13)) (*.f64 z z))) (exp.f64 -13/2)))
(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 (sqrt.f64 2/13) (exp.f64 -13/2))
(*.f64 (exp.f64 -13/2) (sqrt.f64 2/13))
(+.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 (exp.f64 -13/2) (sqrt.f64 2/13))) (.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 13/2) (.f64 (exp.f64 -13/2) (pow.f64 (sqrt.f64 2/13) 2))))) z (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13)))
(fma.f64 z (-.f64 (.f64 (exp.f64 -13/2) (neg.f64 (sqrt.f64 2/13))) (.f64 (-.f64 1/13 (log.f64 13/2)) (.f64 (exp.f64 -13/2) (.f64 (sqrt.f64 13/2) 2/13)))) (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13)))
(fma.f64 z (.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)))) (.f64 (exp.f64 -13/2) (sqrt.f64 2/13)))
(+.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 (sqrt.f64 2/13) (exp.f64 -13/2)) (.f64 (pow.f64 z 2) (-.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)))))))))
(fma.f64 (-.f64 (neg.f64 (.f64 (exp.f64 -13/2) (sqrt.f64 2/13))) (.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 13/2) (.f64 (exp.f64 -13/2) (pow.f64 (sqrt.f64 2/13) 2))))) z (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 (.f64 z z) (-.f64 (.f64 1/2 (.f64 (exp.f64 -13/2) (sqrt.f64 2/13))) (fma.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (.f64 (-.f64 (neg.f64 (.f64 (exp.f64 -13/2) (sqrt.f64 2/13))) (.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 13/2) (.f64 (exp.f64 -13/2) (pow.f64 (sqrt.f64 2/13) 2))))) (.f64 (sqrt.f64 2/13) (sqrt.f64 13/2))) (.f64 (sqrt.f64 13/2) (.f64 (*.f64 (exp.f64 -13/2) (pow.f64 (sqrt.f64 2/13) 2)) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 2) -27/169))))))))
(fma.f64 z (-.f64 (.f64 (exp.f64 -13/2) (neg.f64 (sqrt.f64 2/13))) (.f64 (-.f64 1/13 (log.f64 13/2)) (.f64 (exp.f64 -13/2) (.f64 (sqrt.f64 13/2) 2/13)))) (fma.f64 (.f64 z z) (-.f64 (.f64 1/2 (.f64 (exp.f64 -13/2) (sqrt.f64 2/13))) (fma.f64 (-.f64 1/13 (log.f64 13/2)) (.f64 (sqrt.f64 13/2) (.f64 (sqrt.f64 2/13) (-.f64 (.f64 (exp.f64 -13/2) (neg.f64 (sqrt.f64 2/13))) (.f64 (-.f64 1/13 (log.f64 13/2)) (.f64 (exp.f64 -13/2) (.f64 (sqrt.f64 13/2) 2/13)))))) (.f64 (.f64 (exp.f64 -13/2) (.f64 (sqrt.f64 13/2) 2/13)) (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) -27/169)))) (*.f64 (exp.f64 -13/2) (sqrt.f64 2/13))))
(fma.f64 (exp.f64 -13/2) (sqrt.f64 2/13) (.f64 z (+.f64 (.f64 (+.f64 (.f64 (exp.f64 -13/2) (-.f64 (.f64 1/2 (sqrt.f64 2/13)) (.f64 (.f64 (sqrt.f64 13/2) (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) -27/169)) 2/13))) (.f64 (.f64 (sqrt.f64 13/2) (.f64 (sqrt.f64 2/13) (-.f64 1/13 (log.f64 13/2)))) (.f64 (exp.f64 -13/2) (+.f64 (sqrt.f64 2/13) (.f64 (-.f64 1/13 (log.f64 13/2)) (.f64 (sqrt.f64 13/2) 2/13)))))) z) (.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)))))))
(+.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 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (.f64 (pow.f64 z 2) (-.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 -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 (-.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)))))) (sqrt.f64 2/13)))) (+.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 (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 (sqrt.f64 13/2) (.f64 (pow.f64 (sqrt.f64 2/13) 2) (.f64 (exp.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)))))))))) (pow.f64 z 3)))))
(fma.f64 (-.f64 (neg.f64 (.f64 (exp.f64 -13/2) (sqrt.f64 2/13))) (.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 13/2) (.f64 (exp.f64 -13/2) (pow.f64 (sqrt.f64 2/13) 2))))) z (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (fma.f64 (.f64 z z) (-.f64 (.f64 1/2 (.f64 (exp.f64 -13/2) (sqrt.f64 2/13))) (fma.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (.f64 (-.f64 (neg.f64 (.f64 (exp.f64 -13/2) (sqrt.f64 2/13))) (.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 13/2) (.f64 (exp.f64 -13/2) (pow.f64 (sqrt.f64 2/13) 2))))) (.f64 (sqrt.f64 2/13) (sqrt.f64 13/2))) (.f64 (sqrt.f64 13/2) (.f64 (.f64 (exp.f64 -13/2) (pow.f64 (sqrt.f64 2/13) 2)) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 2) -27/169))))) (.f64 (pow.f64 z 3) (-.f64 (.f64 -1/6 (.f64 (exp.f64 -13/2) (sqrt.f64 2/13))) (fma.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 13/2) (.f64 (sqrt.f64 2/13) (-.f64 (.f64 1/2 (.f64 (exp.f64 -13/2) (sqrt.f64 2/13))) (fma.f64 (-.f64 (neg.f64 (.f64 (exp.f64 -13/2) (sqrt.f64 2/13))) (.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 13/2) (.f64 (exp.f64 -13/2) (pow.f64 (sqrt.f64 2/13) 2))))) (.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (sqrt.f64 13/2))) (.f64 (sqrt.f64 13/2) (.f64 (.f64 (exp.f64 -13/2) (pow.f64 (sqrt.f64 2/13) 2)) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 2) -27/169))))))) (fma.f64 (-.f64 (neg.f64 (.f64 (exp.f64 -13/2) (sqrt.f64 2/13))) (.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 13/2) (.f64 (exp.f64 -13/2) (pow.f64 (sqrt.f64 2/13) 2))))) (.f64 (sqrt.f64 13/2) (.f64 (sqrt.f64 2/13) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 2) -27/169))) (.f64 (sqrt.f64 13/2) (.f64 (pow.f64 (sqrt.f64 2/13) 2) (.f64 (exp.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 z (-.f64 (.f64 (exp.f64 -13/2) (neg.f64 (sqrt.f64 2/13))) (.f64 (-.f64 1/13 (log.f64 13/2)) (.f64 (exp.f64 -13/2) (.f64 (sqrt.f64 13/2) 2/13)))) (fma.f64 (exp.f64 -13/2) (sqrt.f64 2/13) (fma.f64 (pow.f64 z 3) (-.f64 (.f64 (exp.f64 -13/2) (.f64 -1/6 (sqrt.f64 2/13))) (fma.f64 (-.f64 1/13 (log.f64 13/2)) (.f64 (sqrt.f64 2/13) (.f64 (sqrt.f64 13/2) (-.f64 (.f64 1/2 (.f64 (exp.f64 -13/2) (sqrt.f64 2/13))) (fma.f64 (-.f64 1/13 (log.f64 13/2)) (.f64 (sqrt.f64 13/2) (.f64 (sqrt.f64 2/13) (-.f64 (.f64 (exp.f64 -13/2) (neg.f64 (sqrt.f64 2/13))) (.f64 (-.f64 1/13 (log.f64 13/2)) (.f64 (exp.f64 -13/2) (.f64 (sqrt.f64 13/2) 2/13)))))) (.f64 (.f64 (exp.f64 -13/2) (.f64 (sqrt.f64 13/2) 2/13)) (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) -27/169)))))) (fma.f64 (-.f64 (.f64 (exp.f64 -13/2) (neg.f64 (sqrt.f64 2/13))) (.f64 (-.f64 1/13 (log.f64 13/2)) (.f64 (exp.f64 -13/2) (.f64 (sqrt.f64 13/2) 2/13)))) (.f64 (sqrt.f64 2/13) (.f64 (sqrt.f64 13/2) (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) -27/169))) (.f64 (sqrt.f64 13/2) (.f64 (exp.f64 -13/2) (.f64 2/13 (fma.f64 1/6 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 3) (+.f64 (.f64 (log.f64 13/2) 27/169) 1/6591)))))))) (.f64 (.f64 z z) (-.f64 (.f64 1/2 (.f64 (exp.f64 -13/2) (sqrt.f64 2/13))) (fma.f64 (-.f64 1/13 (log.f64 13/2)) (.f64 (sqrt.f64 13/2) (.f64 (sqrt.f64 2/13) (-.f64 (.f64 (exp.f64 -13/2) (neg.f64 (sqrt.f64 2/13))) (.f64 (-.f64 1/13 (log.f64 13/2)) (.f64 (exp.f64 -13/2) (.f64 (sqrt.f64 13/2) 2/13)))))) (.f64 (.f64 (exp.f64 -13/2) (.f64 (sqrt.f64 13/2) 2/13)) (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) -27/169))))))))
(fma.f64 (exp.f64 -13/2) (sqrt.f64 2/13) (fma.f64 z (.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)))) (.f64 (.f64 z z) (+.f64 (+.f64 (.f64 (exp.f64 -13/2) (-.f64 (.f64 1/2 (sqrt.f64 2/13)) (.f64 (.f64 (sqrt.f64 13/2) (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) -27/169)) 2/13))) (.f64 (.f64 (sqrt.f64 13/2) (.f64 (sqrt.f64 2/13) (-.f64 1/13 (log.f64 13/2)))) (.f64 (exp.f64 -13/2) (+.f64 (sqrt.f64 2/13) (.f64 (-.f64 1/13 (log.f64 13/2)) (.f64 (sqrt.f64 13/2) 2/13)))))) (.f64 (-.f64 (.f64 (sqrt.f64 2/13) (-.f64 (.f64 -1/6 (exp.f64 -13/2)) (.f64 (-.f64 1/13 (log.f64 13/2)) (.f64 (sqrt.f64 13/2) (+.f64 (.f64 (exp.f64 -13/2) (-.f64 (.f64 1/2 (sqrt.f64 2/13)) (.f64 (.f64 (sqrt.f64 13/2) (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) -27/169)) 2/13))) (.f64 (.f64 (sqrt.f64 13/2) (.f64 (sqrt.f64 2/13) (-.f64 1/13 (log.f64 13/2)))) (.f64 (exp.f64 -13/2) (+.f64 (sqrt.f64 2/13) (.f64 (-.f64 1/13 (log.f64 13/2)) (.f64 (sqrt.f64 13/2) 2/13)))))))))) (.f64 (sqrt.f64 13/2) (+.f64 (.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)))) (.f64 (sqrt.f64 2/13) (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) -27/169))) (.f64 (exp.f64 -13/2) (.f64 2/13 (fma.f64 1/6 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 3) (fma.f64 (log.f64 13/2) 27/169 1/6591))))))) z)))))
(/.f64 (exp.f64 (neg.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)))
(/.f64 (exp.f64 (+.f64 -13/2 (neg.f64 z))) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))
(/.f64 (exp.f64 (neg.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)))
(/.f64 (exp.f64 (+.f64 -13/2 (neg.f64 z))) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))
(/.f64 (exp.f64 (neg.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)))
(/.f64 (exp.f64 (+.f64 -13/2 (neg.f64 z))) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))
(/.f64 (exp.f64 (neg.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)))
(/.f64 (exp.f64 (+.f64 -13/2 (neg.f64 z))) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))
(/.f64 (exp.f64 (-.f64 (.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 z 13/2) (-.f64 1/2 z)))
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))
(/.f64 (exp.f64 (-.f64 (.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 z 13/2) (-.f64 1/2 z)))
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))
(/.f64 (exp.f64 (-.f64 (.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 z 13/2) (-.f64 1/2 z)))
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))
(/.f64 (exp.f64 (-.f64 (.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 z 13/2) (-.f64 1/2 z)))
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))

eval2.7s (7%)

Compiler: Compiled 107383 to 89589 computations (16.6% saved)

prune982.0ms (2.5%)

Pruning

164 alts after pruning (155 fresh and 9 done)

	Pruned	Kept	Total
New	1031	51	1082
Fresh	34	104	138
Picked	0	1	1
Done	2	8	10
Total	1067	164	1231

Error

0.2b

Counts

1231 → 164

Alt Table

Click to see full alt table

Status	Error	Program
	3.6b	(.f64 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (exp.f64 1) (-.f64 -13/2 (fma.f64 (-.f64 1/2 z) (log.f64 (+.f64 z 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))))
	4.1b	(.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 -3147848041806007/2500000000000 (+.f64 1 z)) 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))))
	4.1b	(.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 6 z))) (*.f64 (exp.f64 -1/2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))))) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.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))))
	4.0b	(.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 (+.f64 (exp.f64 (+.f64 z 13/2)) 1) 1))))
	57.2b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (sqrt.f64 2/13) (-.f64 (+.f64 1 (.f64 9999999999998099/10000000000000000 (exp.f64 -13/2))) 1)))
✓	3.5b	(.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))))) (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (-.f64 (neg.f64 z) 13/2)))))
	4.1b	(.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))))
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	3.8b	(.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 (fma.f64 (/.f64 1 (+.f64 z 1)) -3147848041806007/2500000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.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))))) (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (-.f64 (neg.f64 z) 13/2)))))
	3.9b	(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (exp.f64 (fma.f64 (-.f64 169/4 (.f64 z z)) (/.f64 1 (+.f64 -13/2 z)) (*.f64 (-.f64 1/2 z) (neg.f64 (log.f64 (+.f64 z 13/2)))))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	4.5b	(.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))) (pow.f64 (exp.f64 -1) (+.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))))
	5.2b	(.f64 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1) (-.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))))
	4.0b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) (/.f64 6765203681218851/10000000000000 z)) 9999999999998099/10000000000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	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 (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 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))))) (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (-.f64 (neg.f64 z) 13/2)))))
	4.1b	(.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 (cbrt.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.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))))
	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)) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) 3))))
	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 (/.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)))))))
	53.5b	(.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)))))
	3.7b	(.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))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))
	5.8b	(.f64 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 -13/2 z)) 2)) (cbrt.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 (.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 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.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))))
	4.2b	(.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)) (exp.f64 (+.f64 z 13/2)))))

Compiler

Compiled 14750 to 12499 computations (15.3% saved)

regimes4.5s (11.4%)

Counts

251 → 2

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (sqrt.f64 2/13) (/.f64 9999999999998099/10000000000000000 (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (sqrt.f64 2/13) (-.f64 (+.f64 1 (.f64 9999999999998099/10000000000000000 (exp.f64 -13/2))) 1)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -4106156171094664089637421/25000000000000000000000 z) (/.f64 (/.f64 12012712722196059946951247/25000000000000000000000 z) z)))))
(.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 (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 (fma.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2))) (.f64 (.f64 z 10000000000000/6765203681218851) (+.f64 (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.f64 z 1) 3)) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z 2) 3))))) (.f64 (.f64 z 10000000000000/6765203681218851) (fma.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.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 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (-.f64 (neg.f64 z) 13/2)))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 -13/2 (fma.f64 (-.f64 1/2 z) (log.f64 (+.f64 z 13/2)) z))) 2)) (cbrt.f64 (-.f64 -13/2 (fma.f64 (-.f64 1/2 z) (log.f64 (+.f64 z 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 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (.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))))))) (+.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 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 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 z 13/2))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 z 13/2)))))))

Outputs

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

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

Calls

5 calls:

921.0ms	(-.f64 z 1)
557.0ms	(-.f64 z 1)
544.0ms	(.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))))
465.0ms	z
464.0ms	(.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 (.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 22436 to 18565 computations (17.3% saved)

bsearch11.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	125.47761729645825	142.09747680430215

Compiler

Compiled 79 to 67 computations (15.2% saved)

regimes3.8s (9.6%)

Counts

242 → 2

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (sqrt.f64 2/13) (/.f64 9999999999998099/10000000000000000 (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (sqrt.f64 2/13) (-.f64 (+.f64 1 (.f64 9999999999998099/10000000000000000 (exp.f64 -13/2))) 1)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -4106156171094664089637421/25000000000000000000000 z) (/.f64 (/.f64 12012712722196059946951247/25000000000000000000000 z) z)))))
(.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)))))
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(.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 (fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 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 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (-.f64 (neg.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))))) (exp.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) (-.f64 (neg.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)) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z 13/2))) (cbrt.f64 (+.f64 z 13/2))) (cbrt.f64 (sqrt.f64 (+.f64 z 13/2)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (exp.f64 (log.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 (+.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 (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)) (.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (+.f64 z 13/2))) (cbrt.f64 (exp.f64 (+.f64 z 13/2)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (+.f64 (.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z))) (+.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 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 3) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z 2) 3))))) (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.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 (/.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 (/.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)))))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 -13/2 z)) 2)) (cbrt.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))))

Outputs

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

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

Calls

5 calls:

907.0ms	(.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))))
665.0ms	z
589.0ms	(.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))))
433.0ms	(-.f64 z 1)
430.0ms	(-.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 (.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)`
2.4b	2	`(-.f64 z 1)`

Compiler

Compiled 21399 to 17707 computations (17.3% saved)

bsearch9.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	142.09747680430215	145.406097602

Compiler

Compiled 79 to 67 computations (15.2% saved)

regimes2.1s (5.5%)

Counts

166 → 2

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (sqrt.f64 2/13) (/.f64 9999999999998099/10000000000000000 (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (sqrt.f64 2/13) (-.f64 (+.f64 1 (.f64 9999999999998099/10000000000000000 (exp.f64 -13/2))) 1)))
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(.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))))
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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)) (pow.f64 (pow.f64 (exp.f64 1) (fma.f64 z z -169/4)) (/.f64 1 (-.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)) (/.f64 (pow.f64 (exp.f64 1) (/.f64 (.f64 z z) (-.f64 z 13/2))) (pow.f64 (exp.f64 1) (/.f64 169/4 (-.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 (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.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 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 6 z))) (*.f64 (exp.f64 -1/2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))))) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.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))))

Outputs

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

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

5 calls:

313.0ms	(-.f64 z 1)
304.0ms	(.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))))
294.0ms	z
275.0ms	(.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))))
259.0ms	(-.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 (.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)`
2.4b	2	`(-.f64 z 1)`

Compiler

Compiled 13955 to 11590 computations (16.9% saved)

bsearch9.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	142.09747680430215	145.406097602

Compiler

Compiled 79 to 67 computations (15.2% saved)

regimes707.0ms (1.8%)

Counts

79 → 2

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (sqrt.f64 2/13) (/.f64 9999999999998099/10000000000000000 (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (sqrt.f64 2/13) (-.f64 (+.f64 1 (.f64 9999999999998099/10000000000000000 (exp.f64 -13/2))) 1)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -4106156171094664089637421/25000000000000000000000 z) (/.f64 (/.f64 12012712722196059946951247/25000000000000000000000 z) z)))))
(.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 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))))) (exp.f64 (-.f64 (.f64 z (log.f64 z)) z))))
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Outputs

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

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

Calls

5 calls:

104.0ms	(.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))))
103.0ms	(-.f64 z 1)
102.0ms	(.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))))
101.0ms	(-.f64 z 1)
98.0ms	z

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 (.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)`
2.4b	2	`(-.f64 z 1)`

Compiler

Compiled 6205 to 5195 computations (16.3% saved)

bsearch3.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	142.09747680430215	145.406097602

Compiler

Compiled 79 to 67 computations (15.2% saved)

regimes649.0ms (1.7%)

Counts

75 → 2

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (sqrt.f64 2/13) (/.f64 9999999999998099/10000000000000000 (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (sqrt.f64 2/13) (-.f64 (+.f64 1 (.f64 9999999999998099/10000000000000000 (exp.f64 -13/2))) 1)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -4106156171094664089637421/25000000000000000000000 z) (/.f64 (/.f64 12012712722196059946951247/25000000000000000000000 z) z)))))
(.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 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))))) (exp.f64 (-.f64 (.f64 z (log.f64 z)) 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 (log.f64 z) (+.f64 -1/2 z)) 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 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 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 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)))))
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(.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))))
(.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))) (pow.f64 (exp.f64 -1) (+.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 (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)) (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 (-.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 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 (-.f64 -13/2 z) (.f64 (-.f64 1/2 z) (log.f64 (+.f64 z 13/2))))))) (+.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 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (-.f64 (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 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 (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))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 (-.f64 -13/2 z) (.f64 (-.f64 1/2 z) (log.f64 (+.f64 z 13/2))))))) (+.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))))

Outputs

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

Calls

5 calls:

97.0ms	(.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))))
95.0ms	(.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))))
94.0ms	(-.f64 z 1)
92.0ms	(-.f64 z 1)
92.0ms	z

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 (.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)`
2.4b	2	`(-.f64 z 1)`

Compiler

Compiled 5803 to 4867 computations (16.1% saved)

bsearch2.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	142.09747680430215	145.406097602

Compiler

Compiled 79 to 67 computations (15.2% saved)

regimes317.0ms (0.8%)

Counts

39 → 2

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (sqrt.f64 2/13) (/.f64 9999999999998099/10000000000000000 (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (sqrt.f64 2/13) (-.f64 (+.f64 1 (.f64 9999999999998099/10000000000000000 (exp.f64 -13/2))) 1)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -4106156171094664089637421/25000000000000000000000 z) (/.f64 (/.f64 12012712722196059946951247/25000000000000000000000 z) z)))))
(.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)))))
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(.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))))

Outputs

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

5 calls:

50.0ms	(.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))))
48.0ms	(.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))))
47.0ms	z
47.0ms	(-.f64 z 1)
45.0ms	(-.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 (.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)`
2.4b	2	`(-.f64 z 1)`

Compiler

Compiled 2809 to 2359 computations (16% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	142.09747680430215	145.406097602

Compiler

Compiled 79 to 67 computations (15.2% saved)

regimes293.0ms (0.7%)

Counts

34 → 2

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (sqrt.f64 2/13) (/.f64 9999999999998099/10000000000000000 (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (sqrt.f64 2/13) (-.f64 (+.f64 1 (.f64 9999999999998099/10000000000000000 (exp.f64 -13/2))) 1)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -4106156171094664089637421/25000000000000000000000 z) (/.f64 (/.f64 12012712722196059946951247/25000000000000000000000 z) z)))))
(.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 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))))) (exp.f64 (-.f64 (.f64 z (log.f64 z)) 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 (log.f64 z) (+.f64 -1/2 z)) 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 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 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 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))))) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 1 (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)) (-.f64 (+.f64 (exp.f64 (+.f64 z 13/2)) 1) 1))))
(.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 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 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 -3147848041806007/2500000000000 (+.f64 1 z)) (+.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 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) (/.f64 6765203681218851/10000000000000 z)) 9999999999998099/10000000000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(.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))))

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

(*.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

5 calls:

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))))
42.0ms	(.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))))
41.0ms	(-.f64 z 1)
40.0ms	(-.f64 z 1)
37.0ms	z

Results

Error	Segments	Branch
2.5b	2	`z`
2.5b	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))))
2.5b	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))))
2.5b	2	`(-.f64 z 1)`
2.5b	2	`(-.f64 z 1)`

Compiler

Compiled 2287 to 1923 computations (15.9% saved)

bsearch4.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	125.47761729645825	142.09747680430215

Compiler

Compiled 79 to 67 computations (15.2% saved)

regimes76.0ms (0.2%)

Counts

29 → 2

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (sqrt.f64 2/13) (/.f64 9999999999998099/10000000000000000 (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (sqrt.f64 2/13) (-.f64 (+.f64 1 (.f64 9999999999998099/10000000000000000 (exp.f64 -13/2))) 1)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -4106156171094664089637421/25000000000000000000000 z) (/.f64 (/.f64 12012712722196059946951247/25000000000000000000000 z) z)))))
(.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 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))))) (exp.f64 (-.f64 (.f64 z (log.f64 z)) 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 (log.f64 z) (+.f64 -1/2 z)) 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 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 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 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))))) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 1 (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)) (-.f64 (+.f64 (exp.f64 (+.f64 z 13/2)) 1) 1))))
(.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 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 z)) 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 -3147848041806007/2500000000000 (+.f64 1 z)) (+.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))))

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:

28.0ms

Results

Error	Segments	Branch
2.5b	2	`z`

Compiler

Compiled 1635 to 1355 computations (17.1% saved)

bsearch97.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
94.0ms	126.47761729645825	143.09747680430215

Compiler

Compiled 99 to 87 computations (12.1% saved)

regimes54.0ms (0.1%)

Counts

22 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (sqrt.f64 2/13) (/.f64 9999999999998099/10000000000000000 (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (sqrt.f64 2/13) (-.f64 (+.f64 1 (.f64 9999999999998099/10000000000000000 (exp.f64 -13/2))) 1)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -4106156171094664089637421/25000000000000000000000 z) (/.f64 (/.f64 12012712722196059946951247/25000000000000000000000 z) z)))))
(.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 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))))) (exp.f64 (-.f64 (.f64 z (log.f64 z)) 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 (log.f64 z) (+.f64 -1/2 z)) 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 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 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 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 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)))))

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
3.7b	1	`z`

Compiler

Compiled 1101 to 905 computations (17.8% saved)

regimes38.0ms (0.1%)

Counts

18 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (sqrt.f64 2/13) (/.f64 9999999999998099/10000000000000000 (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (sqrt.f64 2/13) (-.f64 (+.f64 1 (.f64 9999999999998099/10000000000000000 (exp.f64 -13/2))) 1)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -4106156171094664089637421/25000000000000000000000 z) (/.f64 (/.f64 12012712722196059946951247/25000000000000000000000 z) z)))))
(.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 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))))) (exp.f64 (-.f64 (.f64 z (log.f64 z)) 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 (log.f64 z) (+.f64 -1/2 z)) z))))

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:

14.0ms

Results

Error	Segments	Branch
50.1b	1	`z`

Compiler

Compiled 841 to 693 computations (17.6% saved)

regimes18.0ms (0%)

Counts

10 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (sqrt.f64 2/13) (/.f64 9999999999998099/10000000000000000 (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (sqrt.f64 2/13) (-.f64 (+.f64 1 (.f64 9999999999998099/10000000000000000 (exp.f64 -13/2))) 1)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -4106156171094664089637421/25000000000000000000000 z) (/.f64 (/.f64 12012712722196059946951247/25000000000000000000000 z) z)))))
(.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:

6.0ms

Results

Error	Segments	Branch
53.5b	1	`z`

Compiler

Compiled 377 to 316 computations (16.2% saved)

regimes30.0ms (0.1%)

Counts

9 → 2

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (sqrt.f64 2/13) (/.f64 9999999999998099/10000000000000000 (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (sqrt.f64 2/13) (-.f64 (+.f64 1 (.f64 9999999999998099/10000000000000000 (exp.f64 -13/2))) 1)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -4106156171094664089637421/25000000000000000000000 z) (/.f64 (/.f64 12012712722196059946951247/25000000000000000000000 z) z)))))
(.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 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -4106156171094664089637421/25000000000000000000000 z) (/.f64 (/.f64 12012712722196059946951247/25000000000000000000000 z) z)))))

(*.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:

12.0ms

Results

Error	Segments	Branch
56.1b	2	`z`

Compiler

Compiled 326 to 275 computations (15.6% saved)

bsearch82.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
81.0ms	2.7325497244696453	2.9890993336873595

Compiler

Compiled 99 to 87 computations (12.1% saved)

regimes6.0ms (0%)

Accuracy

Total -3.6b remaining (-6.3%)

Threshold costs -3.6b (-6.3%)

Counts

3 → 1

Calls

Call 1

Inputs

(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (sqrt.f64 2/13) (/.f64 9999999999998099/10000000000000000 (exp.f64 13/2))))

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

(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -4106156171094664089637421/25000000000000000000000 z) (/.f64 (/.f64 12012712722196059946951247/25000000000000000000000 z) z)))))

Outputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (sqrt.f64 2/13) (-.f64 (+.f64 1 (.f64 9999999999998099/10000000000000000 (exp.f64 -13/2))) 1)))

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
57.2b	1	`z`

Compiler

Compiled 53 to 47 computations (11.3% saved)

simplify116.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

80×	`+-commutative_binary64`
54×	`*-commutative_binary64`
26×	`sub-neg_binary64`
16×	`distribute-neg-in_binary64`
14×	`neg-sub0_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	216	2600
1	355	2594
2	400	2592
3	443	2592
4	469	2592
5	476	2592
6	477	2592

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 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 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z))))) (.f64 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (exp.f64 (sqrt.f64 (-.f64 -13/2 (fma.f64 (-.f64 1/2 z) (log.f64 (+.f64 z 13/2)) z)))) (sqrt.f64 (-.f64 -13/2 (fma.f64 (-.f64 1/2 z) (log.f64 (+.f64 z 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)))))
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(if (<=.f64 z 6153154960446423/2251799813685248) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -4106156171094664089637421/25000000000000000000000 z) (/.f64 (/.f64 12012712722196059946951247/25000000000000000000000 z) z))))) (.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 (sqrt.f64 2/13) (-.f64 (+.f64 1 (.f64 9999999999998099/10000000000000000 (exp.f64 -13/2))) 1)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (sqrt.f64 2/13) (/.f64 9999999999998099/10000000000000000 (exp.f64 13/2))))

Outputs
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(if (<=.f64 z 4450035547867481/35184372088832) (.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))))))
(if (<=.f64 z 4450035547867481/35184372088832) (.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 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) (.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.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 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) (exp.f64 (-.f64 (.f64 (log.f64 (+.f64 z 13/2)) (+.f64 z -1/2)) (+.f64 z 13/2))))))
(if (<=.f64 z 4450035547867481/35184372088832) (.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 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) (.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.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 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) (exp.f64 (+.f64 (.f64 (log.f64 (+.f64 z 13/2)) (+.f64 z -1/2)) (-.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 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))) (+.f64 (+.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 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (+.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000)))))
(.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 6153154960446423/2251799813685248) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -4106156171094664089637421/25000000000000000000000 z) (/.f64 (/.f64 12012712722196059946951247/25000000000000000000000 z) z))))) (.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 6153154960446423/2251799813685248) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -4106156171094664089637421/25000000000000000000000 z) (/.f64 (/.f64 12012712722196059946951247/25000000000000000000000 z) z))))) (.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 (sqrt.f64 2/13) (-.f64 (+.f64 1 (.f64 9999999999998099/10000000000000000 (exp.f64 -13/2))) 1)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (sqrt.f64 2/13) (+.f64 (+.f64 1 (.f64 9999999999998099/10000000000000000 (exp.f64 -13/2))) -1)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (sqrt.f64 2/13) (/.f64 9999999999998099/10000000000000000 (exp.f64 13/2))))

Compiler

Compiled 1715 to 1433 computations (16.4% saved)

soundness397.0ms (1%)

Algorithm

3×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	110
1	145	101
2	465	99
3	3026	99
0	93	631
1	279	544
2	845	519
3	4056	492
0	120	938
1	377	831
2	1305	762
3	6938	761

Stop Event

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

Compiler

Compiled 6588 to 5707 computations (13.4% saved)

end1.3s (3.3%)

Compiler: Compiled 1702 to 1406 computations (17.4% saved)