Details

analyze19.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	25%	75%	0
0%	25%	75%	1
0%	12.5%	87.5%	2
0%	6.3%	93.7%	3
0%	3.1%	96.9%	4
0%	1.6%	98.4%	5
0%	0.8%	99.2%	6
0%	0.8%	99.2%	7
0.2%	0.6%	99.2%	8
0.2%	0.6%	99.2%	9
0.2%	0.1%	99.7%	10
0.2%	0.1%	99.7%	11
0.2%	0%	99.8%	12

Compiler

Compiled 98 to 86 computations (12.2% saved)

sample4.2s (19.1%)

Results

3.4s	8256×	body	256	valid
841.0ms	1539×	body	256	invalid

preprocess43.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	110
1	145	101
2	465	99
3	3033	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 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2))))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (exp.f64 (+.f64 z 13/2)))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))

Compiler

Compiled 96 to 85 computations (11.5% saved)

simplify26.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	110
1	145	101
2	465	99
3	3033	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 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2))))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (exp.f64 (+.f64 z 13/2)))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))

eval3.0ms (0%)

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

prune62.0ms (0.3%)

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

3.2b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	3.8b	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
▶	3.5b	(.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))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))

Status

Error

Program

▶

3.8b

(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))

▶

3.5b

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

Compiler

Compiled 161 to 139 computations (13.7% saved)

localize48.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(+.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)))
	0.2b	(/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))
	0.1b	(/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))
	0.0b	(/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))
✓	1.0b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2)))
✓	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.1b	(exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))
✓	1.7b	(.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))))

series9.0ms (0%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2))))
2.0ms	z	@	-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))))
2.0ms	z	@	inf	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2))))
1.0ms	z	@	inf	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2)))
0.0ms	z	@	0	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2)))

rewrite60.0ms (0.3%)

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	72
1	654	65

Stop Event

1×	node limit

Counts

4 → 113

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

simplify142.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

801×	`fma-def_binary64`
625×	`associate-l_binary64`
570×	`associate-r_binary64`
493×	`fma-neg_binary64`
317×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	120	938
1	377	831
2	1305	762
3	6928	761

Stop Event

1×	node limit

Counts

149 → 148

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 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (*.f64 (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))))
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(+.f64 (fma.f64 z 3147848041806007/2500000000000 (/.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 9999999999998099/10000000000000000 (+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (/.f64 -5826188486005177/10000000000000 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 9999999999998099/10000000000000000 (+.f64 (/.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 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3))) (/.f64 -5826188486005177/10000000000000 z)))
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 9999999999998099/10000000000000000 (+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (/.f64 -5826188486005177/10000000000000 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 9999999999998099/10000000000000000 (+.f64 (/.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 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3))) (/.f64 -5826188486005177/10000000000000 z)))

localize43.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(/.f64 2501468655737381/200000000000000 (-.f64 z -4))
	0.2b	(/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))
	0.1b	(/.f64 -3147848041806007/2500000000000 (+.f64 z 1))
	0.0b	(/.f64 6765203681218851/10000000000000 z)
✓	0.9b	(+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.1b	(exp.f64 (+.f64 z 13/2))
✓	1.8b	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))

series19.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	z	@	inf	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
5.0ms	z	@	0	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
3.0ms	z	@	-inf	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
0.0ms	z	@	inf	(+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
0.0ms	z	@	0	(+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))

rewrite65.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

646×	`add-log-exp_binary64`
645×	`log1p-expm1-u_binary64`
645×	`expm1-log1p-u_binary64`
644×	`add-cbrt-cube_binary64`
644×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	130
1	1326	130

Stop Event

1×	node limit

Counts

3 → 26

Calls

Call 1

Inputs
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(exp.f64 (+.f64 z 13/2))
(+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))

Inputs

(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))

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

(+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) 3) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 3)) (+.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z))) (-.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z))) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (-.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))))))

simplify69.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

894×	`fma-def_binary64`
611×	`associate-/r*_binary64`
552×	`associate-/l*_binary64`
420×	`associate-*l/_binary64`
416×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	179	1755
1	578	1645
2	2152	1430

Stop Event

1×	node limit

Counts

62 → 69

Calls

Call 1

Inputs
(.f64 6765203681218851/10000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 6765203681218851/10000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (.f64 (sqrt.f64 (PI.f64)) (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 6765203681218851/10000000000000 (.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (.f64 -487331279103252896793517613/525000000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))))
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(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (.f64 z (exp.f64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64)))) (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64)))))
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(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)) 25100247618054625277/20000000000000000)
(-.f64 (+.f64 (.f64 4026744024855951579/3200000000000000 z) (.f64 6765203681218851/10000000000000 (/.f64 1 z))) 25100247618054625277/20000000000000000)
(-.f64 (+.f64 (.f64 -16114480505391018459/12800000000000000 (pow.f64 z 2)) (+.f64 (.f64 4026744024855951579/3200000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 25100247618054625277/20000000000000000)
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 114022301064366159/200000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 60455492180382759/50000000000000 (/.f64 1 (pow.f64 z 2)))) (.f64 114022301064366159/200000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 60455492180382759/50000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 6618885776646327/6250000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 114022301064366159/200000000000000 (/.f64 1 z))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 114022301064366159/200000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 60455492180382759/50000000000000 (/.f64 1 (pow.f64 z 2)))) (.f64 114022301064366159/200000000000000 (/.f64 1 z)))
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Outputs
(.f64 6765203681218851/10000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64))))
(.f64 6765203681218851/10000000000000 (/.f64 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (sqrt.f64 (PI.f64))) (.f64 (exp.f64 13/2) z)))
(.f64 6765203681218851/10000000000000 (.f64 (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2))) (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 6765203681218851/10000000000000 (.f64 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 2/13)) (/.f64 (sqrt.f64 (PI.f64)) z)))
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(+.f64 (.f64 611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2))))) (.f64 (exp.f64 (-.f64 13/2 (.f64 -1 z))) z)) (sqrt.f64 (PI.f64)))) (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (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)))) (sqrt.f64 (PI.f64)))))
(fma.f64 611458333333720910362579/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (.f64 z (exp.f64 (+.f64 13/2 z))))) (.f64 9999999999998099/10000000000000000 (.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 z))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))) (.f64 611458333333720910362579/25000000000000000000000 (/.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (/.f64 z (sqrt.f64 2))) (exp.f64 (+.f64 13/2 z))))))
(.f64 (sqrt.f64 (PI.f64)) (fma.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (.f64 (/.f64 (.f64 611458333333720910362579/25000000000000000000000 (sqrt.f64 2)) (exp.f64 (+.f64 13/2 z))) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) z))))
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(fma.f64 611458333333720910362579/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (.f64 z (exp.f64 (+.f64 13/2 z))))) (fma.f64 4925021701373474946951247/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) (.f64 z z)) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))))) (.f64 9999999999998099/10000000000000000 (.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 z)))))))
(fma.f64 611458333333720910362579/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (/.f64 z (sqrt.f64 2))) (exp.f64 (+.f64 13/2 z)))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))) (.f64 (.f64 4925021701373474946951247/25000000000000000000000 (/.f64 (/.f64 (sqrt.f64 2) z) z)) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z)))))))
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(fma.f64 611458333333720910362579/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (.f64 z (exp.f64 (+.f64 13/2 z))))) (fma.f64 10831820445529922198405471/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (.f64 (exp.f64 (+.f64 13/2 z)) (pow.f64 z 3)))) (fma.f64 4925021701373474946951247/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) (.f64 z z)) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))))) (.f64 9999999999998099/10000000000000000 (.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 z))))))))
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(.f64 (sqrt.f64 (PI.f64)) (+.f64 (fma.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (.f64 4925021701373474946951247/25000000000000000000000 (/.f64 (.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (/.f64 (/.f64 (sqrt.f64 2) z) z)) (exp.f64 (+.f64 13/2 z))))) (.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) (+.f64 (.f64 611458333333720910362579/25000000000000000000000 (/.f64 (sqrt.f64 2) z)) (/.f64 (*.f64 10831820445529922198405471/25000000000000000000000 (sqrt.f64 2)) (pow.f64 z 3))))))
(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 (.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 1/2 (*.f64 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))))
(fma.f64 1/2 (.f64 (exp.f64 13/2) (.f64 z z)) (+.f64 (fma.f64 (exp.f64 13/2) z (exp.f64 13/2)) (.f64 (.f64 1/6 (pow.f64 z 3)) (exp.f64 13/2))))
(fma.f64 (exp.f64 13/2) (.f64 (.f64 z z) 1/2) (.f64 (exp.f64 13/2) (+.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 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 25100247618054625277/20000000000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) -25100247618054625277/20000000000000000)
(-.f64 (+.f64 (.f64 4026744024855951579/3200000000000000 z) (.f64 6765203681218851/10000000000000 (/.f64 1 z))) 25100247618054625277/20000000000000000)
(+.f64 (fma.f64 4026744024855951579/3200000000000000 z (/.f64 6765203681218851/10000000000000 z)) -25100247618054625277/20000000000000000)
(+.f64 (fma.f64 z 4026744024855951579/3200000000000000 (/.f64 6765203681218851/10000000000000 z)) -25100247618054625277/20000000000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z 4026744024855951579/3200000000000000 -25100247618054625277/20000000000000000))
(-.f64 (+.f64 (.f64 -16114480505391018459/12800000000000000 (pow.f64 z 2)) (+.f64 (.f64 4026744024855951579/3200000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 25100247618054625277/20000000000000000)
(+.f64 (fma.f64 -16114480505391018459/12800000000000000 (*.f64 z z) (fma.f64 4026744024855951579/3200000000000000 z (/.f64 6765203681218851/10000000000000 z))) -25100247618054625277/20000000000000000)
(+.f64 (fma.f64 (*.f64 z z) -16114480505391018459/12800000000000000 (fma.f64 z 4026744024855951579/3200000000000000 (/.f64 6765203681218851/10000000000000 z))) -25100247618054625277/20000000000000000)
(+.f64 (fma.f64 z 4026744024855951579/3200000000000000 (/.f64 6765203681218851/10000000000000 z)) (fma.f64 z (*.f64 z -16114480505391018459/12800000000000000) -25100247618054625277/20000000000000000))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 114022301064366159/200000000000000 (/.f64 1 z)))
(-.f64 9999999999998099/10000000000000000 (/.f64 114022301064366159/200000000000000 z))
(+.f64 9999999999998099/10000000000000000 (/.f64 -114022301064366159/200000000000000 z))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 60455492180382759/50000000000000 (/.f64 1 (pow.f64 z 2)))) (.f64 114022301064366159/200000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 60455492180382759/50000000000000 (*.f64 z z)) (/.f64 114022301064366159/200000000000000 z)))
(+.f64 (/.f64 60455492180382759/50000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -114022301064366159/200000000000000 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 60455492180382759/50000000000000 (*.f64 z z)) (/.f64 -114022301064366159/200000000000000 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 60455492180382759/50000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 6618885776646327/6250000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 114022301064366159/200000000000000 (/.f64 1 z))))
(-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 60455492180382759/50000000000000 (*.f64 z z))) (+.f64 (/.f64 114022301064366159/200000000000000 z) (/.f64 6618885776646327/6250000000000 (pow.f64 z 3))))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 60455492180382759/50000000000000 (*.f64 z z)) (+.f64 (/.f64 114022301064366159/200000000000000 z) (/.f64 6618885776646327/6250000000000 (pow.f64 z 3)))))
(+.f64 (+.f64 (/.f64 60455492180382759/50000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -6618885776646327/6250000000000 (pow.f64 z 3)))) (/.f64 -114022301064366159/200000000000000 z))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 114022301064366159/200000000000000 (/.f64 1 z)))
(-.f64 9999999999998099/10000000000000000 (/.f64 114022301064366159/200000000000000 z))
(+.f64 9999999999998099/10000000000000000 (/.f64 -114022301064366159/200000000000000 z))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 60455492180382759/50000000000000 (/.f64 1 (pow.f64 z 2)))) (.f64 114022301064366159/200000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 60455492180382759/50000000000000 (*.f64 z z)) (/.f64 114022301064366159/200000000000000 z)))
(+.f64 (/.f64 60455492180382759/50000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -114022301064366159/200000000000000 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 60455492180382759/50000000000000 (*.f64 z z)) (/.f64 -114022301064366159/200000000000000 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 60455492180382759/50000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 6618885776646327/6250000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 114022301064366159/200000000000000 (/.f64 1 z))))
(-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 60455492180382759/50000000000000 (*.f64 z z))) (+.f64 (/.f64 114022301064366159/200000000000000 z) (/.f64 6618885776646327/6250000000000 (pow.f64 z 3))))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 60455492180382759/50000000000000 (*.f64 z z)) (+.f64 (/.f64 114022301064366159/200000000000000 z) (/.f64 6618885776646327/6250000000000 (pow.f64 z 3)))))
(+.f64 (+.f64 (/.f64 60455492180382759/50000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -6618885776646327/6250000000000 (pow.f64 z 3)))) (/.f64 -114022301064366159/200000000000000 z))

eval562.0ms (2.5%)

Compiler: Compiled 21309 to 18271 computations (14.3% saved)

prune422.0ms (1.9%)

Pruning

51 alts after pruning (50 fresh and 1 done)

	Pruned	Kept	Total
New	190	50	240
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	191	51	242

Error

2.0b

Counts

242 → 51

Alt Table

Click to see full alt table

Status	Error	Program
	54.9b	(.f64 (.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 (.f64 (sqrt.f64 2/13) (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 (+.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 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 (+.f64 z 13/2)))))
	49.5b	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 60455492180382759/50000000000000 (.f64 z z)) (/.f64 -114022301064366159/200000000000000 z)))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
	3.5b	(.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))) (/.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))))
	3.8b	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.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)) (cbrt.f64 (.f64 (*.f64 (exp.f64 (+.f64 z 13/2)) (exp.f64 (+.f64 z 13/2))) (exp.f64 (+.f64 z 13/2)))))))
	3.6b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 z 6))) (exp.f64 -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	5.0b	(.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	59.3b	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -114022301064366159/200000000000000 z))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
	3.9b	(.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 -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z))))) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 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))))
	3.6b	(.f64 (.f64 (pow.f64 (-.f64 z -13/2) (+.f64 z -1/2)) (.f64 (.f64 (sqrt.f64 2) (exp.f64 (-.f64 -13/2 z))) (sqrt.f64 (PI.f64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	59.3b	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (-.f64 9999999999998099/10000000000000000 (.f64 114022301064366159/200000000000000 (/.f64 1 z)))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
	4.4b	(.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) 3) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	3.6b	(.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	54.9b	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (expm1.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
▶	53.1b	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
	4.7b	(.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 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) 2) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.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))))

Compiler

Compiled 9384 to 8121 computations (13.5% saved)

localize54.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(+.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)))
	0.2b	(/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))
	0.1b	(/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))
	0.0b	(/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))
	1.0b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.1b	(exp.f64 (+.f64 (+.f64 z -1) 15/2))
✓	1.7b	(/.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)))

series5.0ms (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 z -1) 15/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (+.f64 z -1) 15/2)))
1.0ms	z	@	-inf	(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (+.f64 z -1) 15/2)))
1.0ms	z	@	inf	(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (+.f64 z -1) 15/2)))
0.0ms	z	@	0	(exp.f64 (+.f64 (+.f64 z -1) 15/2))
0.0ms	z	@	-inf	(exp.f64 (+.f64 (+.f64 z -1) 15/2))

rewrite74.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

860×	`log-prod_binary64`
316×	`expm1-udef_binary64`
316×	`log1p-udef_binary64`
314×	`prod-diff_binary64`
283×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	33
1	362	33
2	4844	33

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

Inputs
(/.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)))
(exp.f64 (+.f64 (+.f64 z -1) 15/2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) (cbrt.f64 (exp.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 1 (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.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 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (neg.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (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 (*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) 2) (pow.f64 (+.f64 z 13/2) (*.f64 2 (+.f64 z -1/2))))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (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 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) 2) (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) 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simplify55.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

531×	`cancel-sign-sub-inv_binary64`
396×	`fma-neg_binary64`
395×	`distribute-rgt-neg-out_binary64`
383×	`fma-def_binary64`
343×	`distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	92	941
1	281	915
2	949	806
3	4623	802

Stop Event

1×	node limit

Counts

100 → 96

Calls

Call 1

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

localize39.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))
	0.2b	(+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))
	0.2b	(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000)
	0.2b	(/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))
✓	0.6b	(pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.1b	(exp.f64 (+.f64 z 13/2))
✓	1.7b	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))

series11.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	z	@	0	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
2.0ms	z	@	-inf	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
2.0ms	z	@	inf	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
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))

rewrite126.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

504×	`add-sqr-sqrt_binary64`
480×	`add-log-exp_binary64`
479×	`log1p-expm1-u_binary64`
479×	`expm1-log1p-u_binary64`
478×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	85
1	988	85

Stop Event

1×	node limit

Counts

2 → 16

Calls

Call 1

Inputs

(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (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)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (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)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2))))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2)))))) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (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)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (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)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (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)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2)))))))))))

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

simplify116.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

930×	`fma-def_binary64`
921×	`times-frac_binary64`
512×	`associate-/l*_binary64`
509×	`associate-/r*_binary64`
333×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	154	1721
1	509	1607
2	2019	1384

Stop Event

1×	node limit

Counts

40 → 46

Calls

Call 1

Inputs
(.f64 172075220870680916925232387/525000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 172075220870680916925232387/525000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (.f64 (.f64 z (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 172075220870680916925232387/525000000000000000000000 (.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (.f64 -477386420770840464777858359/2756250000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 (.f64 (pow.f64 z 2) (-.f64 (+.f64 (.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -477386420770840464777858359/2756250000000000000000000 (.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (+.f64 (.f64 172075220870680916925232387/525000000000000000000000 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))) (.f64 41615703160647772572887086541/463050000000000000000000000 (sqrt.f64 2/13))))) (exp.f64 13/2))) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 172075220870680916925232387/525000000000000000000000 (.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (.f64 -477386420770840464777858359/2756250000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (.f64 172075220870680916925232387/1050000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)))))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 172075220870680916925232387/525000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (.f64 (.f64 z (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 172075220870680916925232387/525000000000000000000000 (.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (.f64 -477386420770840464777858359/2756250000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 (.f64 (pow.f64 z 2) (-.f64 (+.f64 (.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -477386420770840464777858359/2756250000000000000000000 (.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (+.f64 (.f64 172075220870680916925232387/525000000000000000000000 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))) (.f64 41615703160647772572887086541/463050000000000000000000000 (sqrt.f64 2/13))))) (exp.f64 13/2))) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 172075220870680916925232387/525000000000000000000000 (.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (.f64 -477386420770840464777858359/2756250000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (.f64 172075220870680916925232387/1050000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)))))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (pow.f64 z 3) (-.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 172075220870680916925232387/525000000000000000000000 (.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (.f64 -477386420770840464777858359/2756250000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -895138868188656214215156909521/19448100000000000000000000000 (sqrt.f64 2/13)) (+.f64 (.f64 41615703160647772572887086541/463050000000000000000000000 (.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (+.f64 (.f64 172075220870680916925232387/525000000000000000000000 (.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 -477386420770840464777858359/2756250000000000000000000 (.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 172075220870680916925232387/1050000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))) (+.f64 (.f64 172075220870680916925232387/3150000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))) (+.f64 (.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))) (+.f64 (.f64 1/2 (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 172075220870680916925232387/525000000000000000000000 (.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (.f64 -477386420770840464777858359/2756250000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -477386420770840464777858359/2756250000000000000000000 (.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (+.f64 (.f64 172075220870680916925232387/525000000000000000000000 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13))) (.f64 41615703160647772572887086541/463050000000000000000000000 (sqrt.f64 2/13))))) (exp.f64 13/2))))))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 172075220870680916925232387/525000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (.f64 (.f64 z (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 172075220870680916925232387/525000000000000000000000 (.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (.f64 -477386420770840464777858359/2756250000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))) (sqrt.f64 (PI.f64))))))
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 14864245966379490785362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (.f64 z (exp.f64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64)))) (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 14864245966379490785362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (.f64 z (exp.f64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -25302724388817904553048753/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (.f64 (pow.f64 z 2) (exp.f64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64)))) (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 37307363552115230198405471/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (.f64 (pow.f64 z 3) (exp.f64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 14864245966379490785362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (.f64 z (exp.f64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -25302724388817904553048753/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (.f64 (pow.f64 z 2) (exp.f64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64)))) (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64)))))))
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (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)))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 14864245966379490785362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2))))) (.f64 (exp.f64 (-.f64 13/2 (.f64 -1 z))) z)) (sqrt.f64 (PI.f64)))) (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (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)))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 14864245966379490785362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2))))) (.f64 (exp.f64 (-.f64 13/2 (.f64 -1 z))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -25302724388817904553048753/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2))))) (.f64 (exp.f64 (-.f64 13/2 (.f64 -1 z))) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (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)))) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 14864245966379490785362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2))))) (.f64 (exp.f64 (-.f64 13/2 (.f64 -1 z))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -25302724388817904553048753/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2))))) (.f64 (exp.f64 (-.f64 13/2 (.f64 -1 z))) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 37307363552115230198405471/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2))))) (.f64 (exp.f64 (-.f64 13/2 (.f64 -1 z))) (pow.f64 z 3))) (sqrt.f64 (PI.f64)))) (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (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)))) (sqrt.f64 (PI.f64)))))))
(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
(.f64 172075220870680916925232387/525000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64))))
(.f64 172075220870680916925232387/525000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 2/13)) (*.f64 (sqrt.f64 (PI.f64)) 172075220870680916925232387/525000000000000000000000))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) 172075220870680916925232387/525000000000000000000000) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))))
(+.f64 (.f64 172075220870680916925232387/525000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (.f64 (.f64 z (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 172075220870680916925232387/525000000000000000000000 (.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (.f64 -477386420770840464777858359/2756250000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))) (sqrt.f64 (PI.f64))))
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(+.f64 (.f64 37307363552115230198405471/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (.f64 (pow.f64 z 3) (exp.f64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 14864245966379490785362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (.f64 z (exp.f64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -25302724388817904553048753/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (.f64 (pow.f64 z 2) (exp.f64 (+.f64 13/2 z)))) (sqrt.f64 (PI.f64)))) (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64)))))))
(fma.f64 37307363552115230198405471/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) (pow.f64 z 3)) (/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))))) (fma.f64 14864245966379490785362579/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (.f64 z (exp.f64 (+.f64 13/2 z))))) (fma.f64 -25302724388817904553048753/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) (.f64 z z)) (/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))))) (.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 (+.f64 13/2 z)) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)))))))))
(+.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)))) (.f64 -25302724388817904553048753/25000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (.f64 z z)))))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 37307363552115230198405471/25000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (pow.f64 z 3)))) (/.f64 (.f64 14864245966379490785362579/25000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 z (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))))) (exp.f64 (+.f64 13/2 z))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (fma.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (.f64 (.f64 -25302724388817904553048753/25000000000000000000000 (/.f64 (sqrt.f64 2) (.f64 z z))) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))))) (.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) (+.f64 (.f64 37307363552115230198405471/25000000000000000000000 (/.f64 (sqrt.f64 2) (pow.f64 z 3))) (.f64 14864245966379490785362579/25000000000000000000000 (/.f64 (sqrt.f64 2) z))))))
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (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)))) (sqrt.f64 (PI.f64))))
(.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 (+.f64 13/2 z)) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)))))
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))))
(+.f64 (.f64 14864245966379490785362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2))))) (.f64 (exp.f64 (-.f64 13/2 (.f64 -1 z))) z)) (sqrt.f64 (PI.f64)))) (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (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)))) (sqrt.f64 (PI.f64)))))
(fma.f64 14864245966379490785362579/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (.f64 z (exp.f64 (+.f64 13/2 z))))) (.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 (+.f64 13/2 z)) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)))) (/.f64 (.f64 14864245966379490785362579/25000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 z (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))))) (exp.f64 (+.f64 13/2 z)))))
(.f64 (sqrt.f64 (PI.f64)) (fma.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (.f64 14864245966379490785362579/25000000000000000000000 (.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) (/.f64 (sqrt.f64 2) z)))))
(+.f64 (.f64 14864245966379490785362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2))))) (.f64 (exp.f64 (-.f64 13/2 (.f64 -1 z))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -25302724388817904553048753/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2))))) (.f64 (exp.f64 (-.f64 13/2 (.f64 -1 z))) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (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)))) (sqrt.f64 (PI.f64))))))
(fma.f64 14864245966379490785362579/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (.f64 z (exp.f64 (+.f64 13/2 z))))) (fma.f64 -25302724388817904553048753/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) (.f64 z z)) (/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))))) (.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 (+.f64 13/2 z)) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))))))))
(fma.f64 14864245966379490785362579/25000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (sqrt.f64 (PI.f64)))) (.f64 z (exp.f64 (+.f64 13/2 z)))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)))) (.f64 -25302724388817904553048753/25000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (*.f64 z z)))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))) (.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) (+.f64 (.f64 14864245966379490785362579/25000000000000000000000 (/.f64 (sqrt.f64 2) z)) (.f64 -25302724388817904553048753/25000000000000000000000 (/.f64 (sqrt.f64 2) (*.f64 z z)))))))
(+.f64 (.f64 14864245966379490785362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2))))) (.f64 (exp.f64 (-.f64 13/2 (.f64 -1 z))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -25302724388817904553048753/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2))))) (.f64 (exp.f64 (-.f64 13/2 (.f64 -1 z))) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 37307363552115230198405471/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2))))) (.f64 (exp.f64 (-.f64 13/2 (.f64 -1 z))) (pow.f64 z 3))) (sqrt.f64 (PI.f64)))) (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (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)))) (sqrt.f64 (PI.f64)))))))
(fma.f64 37307363552115230198405471/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) (pow.f64 z 3)) (/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))))) (fma.f64 14864245966379490785362579/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (.f64 z (exp.f64 (+.f64 13/2 z))))) (fma.f64 -25302724388817904553048753/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) (.f64 z z)) (/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (+.f64 13/2 z))))) (.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 (+.f64 13/2 z)) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)))))))))
(+.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)))) (.f64 -25302724388817904553048753/25000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (.f64 z z)))))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 37307363552115230198405471/25000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (/.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (pow.f64 z 3)))) (/.f64 (.f64 14864245966379490785362579/25000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 z (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))))) (exp.f64 (+.f64 13/2 z))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (fma.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (.f64 (.f64 -25302724388817904553048753/25000000000000000000000 (/.f64 (sqrt.f64 2) (.f64 z z))) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))))) (.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) (+.f64 (.f64 37307363552115230198405471/25000000000000000000000 (/.f64 (sqrt.f64 2) (pow.f64 z 3))) (.f64 14864245966379490785362579/25000000000000000000000 (/.f64 (sqrt.f64 2) z))))))
(sqrt.f64 2/13)
(+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 z (sqrt.f64 2/13))) (sqrt.f64 2/13))
(fma.f64 (+.f64 (log.f64 13/2) -1/13) (*.f64 (sqrt.f64 2/13) z) (sqrt.f64 2/13))
(.f64 (+.f64 (.f64 z (+.f64 (log.f64 13/2) -1/13)) 1) (sqrt.f64 2/13))
(*.f64 (fma.f64 z (+.f64 (log.f64 13/2) -1/13) 1) (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 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 (.f64 z z) (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169)) (.f64 z (+.f64 (log.f64 13/2) -1/13)))))
(fma.f64 (sqrt.f64 2/13) (.f64 z (+.f64 (.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) z) (+.f64 (log.f64 13/2) -1/13))) (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))))
(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))))
(fma.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 (sqrt.f64 2/13) (pow.f64 z 3)) (+.f64 (sqrt.f64 2/13) (.f64 (sqrt.f64 2/13) (+.f64 (.f64 (.f64 z z) (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169)) (*.f64 z (+.f64 (log.f64 13/2) -1/13))))))
(fma.f64 (sqrt.f64 2/13) (.f64 (.f64 z z) (+.f64 (.f64 (+.f64 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) (fma.f64 (log.f64 13/2) 27/169 -27/2197)) -82/6591) z) (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169))) (.f64 (fma.f64 z (+.f64 (log.f64 13/2) -1/13) 1) (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))
(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))
(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))
(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))
(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))
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))

localize55.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(+.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)))
	0.2b	(/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))
	0.1b	(/.f64 -3147848041806007/2500000000000 (-.f64 z -1))
	0.0b	(/.f64 6765203681218851/10000000000000 z)
✓	0.9b	(+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.1b	(exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))
	1.7b	(.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))))

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

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)))

rewrite136.0ms (0.6%)

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	3150	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

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

simplify48.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

727×	`distribute-neg-frac_binary64`
580×	`times-frac_binary64`
529×	`fma-def_binary64`
449×	`associate-l_binary64`
382×	`associate-/l/_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	38	180
1	105	180
2	243	180
3	568	177
4	1678	173
5	6840	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 -3147848041806007/2500000000000 (*.f64 z z) -3147848041806007/2500000000000))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z (fma.f64 z -3147848041806007/2500000000000 3147848041806007/2500000000000) -3147848041806007/2500000000000))
(+.f64 -3147848041806007/2500000000000 (fma.f64 z (fma.f64 z -3147848041806007/2500000000000 3147848041806007/2500000000000) (/.f64 6765203681218851/10000000000000 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 z z)) (/.f64 5826188486005177/10000000000000 z))
(+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (/.f64 -5826188486005177/10000000000000 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 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 (/.f64 -5826188486005177/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3))))
(-.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 3147848041806007/2500000000000 (*.f64 z z)) (-.f64 (-.f64 (/.f64 3147848041806007/2500000000000 (pow.f64 z 4)) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3))) (/.f64 5826188486005177/10000000000000 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 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 (/.f64 -5826188486005177/10000000000000 z) (+.f64 (/.f64 3147848041806007/2500000000000 (pow.f64 z 4)) (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3)))))
(+.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 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 (/.f64 -5826188486005177/10000000000000 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 3147848041806007/2500000000000 (*.f64 z z)) (/.f64 -5826188486005177/10000000000000 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 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 (/.f64 -5826188486005177/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3))))
(-.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 3147848041806007/2500000000000 (*.f64 z z)) (-.f64 (-.f64 (/.f64 3147848041806007/2500000000000 (pow.f64 z 4)) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3))) (/.f64 5826188486005177/10000000000000 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 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 (/.f64 -5826188486005177/10000000000000 z) (+.f64 (/.f64 3147848041806007/2500000000000 (pow.f64 z 4)) (/.f64 -3147848041806007/2500000000000 (pow.f64 z 3)))))
(+.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 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 (/.f64 -5826188486005177/10000000000000 z) (/.f64 (+.f64 -3147848041806007/2500000000000 (/.f64 3147848041806007/2500000000000 z)) (pow.f64 z 3))))

localize121.0ms (0.5%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))
	0.2b	(+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000)))
	0.1b	(+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)))
	0.0b	(/.f64 6765203681218851/10000000000000 z)
✓	1.0b	(+.f64 (.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))) (-.f64 z -1)) (.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) -3147848041806007/2500000000000))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.1b	(exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))
	1.7b	(.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))))

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

rewrite109.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

404×	`fma-neg_binary64`
396×	`expm1-udef_binary64`
396×	`log1p-udef_binary64`
235×	`add-sqr-sqrt_binary64`
225×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	35
1	487	31
2	6341	31

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

Inputs

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

Outputs

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simplify64.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

585×	`distribute-neg-frac_binary64`
536×	`unswap-sqr_binary64`
453×	`associate-/r/_binary64`
343×	`div-sub_binary64`
320×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	150
1	86	150
2	197	150
3	428	150
4	1082	150
5	3803	150
6	7533	150

Stop Event

1×	node limit

Counts

51 → 54

Calls

Call 1

Inputs
(/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))
(-.f64 (.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 (/.f64 1 z)) (.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3)))) (*.f64 266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 (/.f64 1 z)) (.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3)))) (+.f64 (*.f64 266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) 1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000))
(*.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z)
(-.f64 (*.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z) 1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)
(-.f64 (+.f64 (.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 (/.f64 1 z)) (.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z)) 1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)
(-.f64 (+.f64 (.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 (/.f64 1 z)) (.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z)) (+.f64 1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000 (*.f64 266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(*.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z)
(-.f64 (*.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z) 1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)
(-.f64 (+.f64 (.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 (/.f64 1 z)) (.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z)) 1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)
(-.f64 (+.f64 (.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 (/.f64 1 z)) (.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z)) (+.f64 1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000 (*.f64 266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2)))))

Outputs
(/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))
(-.f64 (.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (*.f64 z z)))
(+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 -266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (*.f64 z z)))
(+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 (/.f64 -266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 z) z))
(-.f64 (+.f64 (.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 (/.f64 1 z)) (.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3)))) (*.f64 266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))
(+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (-.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (*.f64 z z))))
(+.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z)) (/.f64 -266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (*.f64 z z)))
(+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (/.f64 -266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (*.f64 z z))))
(+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 -266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (*.f64 z z))))
(-.f64 (+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (/.f64 -266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (*.f64 z z))) (/.f64 -309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)))
(+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (/.f64 (/.f64 -266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 z) z)))
(-.f64 (+.f64 (.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 (/.f64 1 z)) (.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3)))) (+.f64 (*.f64 266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) 1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000))
(+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (-.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (+.f64 (/.f64 266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (*.f64 z z)) 1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)))
(+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (+.f64 (/.f64 -266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (*.f64 z z)) -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)))
(+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (+.f64 (/.f64 -266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (*.f64 z z)) -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)))
(+.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z)) (+.f64 (/.f64 -266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (*.f64 z z)) -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000))
(+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)) (-.f64 -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000 (-.f64 (/.f64 -212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (/.f64 (/.f64 -266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 z) z))))
(*.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z)
(*.f64 z 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000)
(-.f64 (*.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z) 1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)
(fma.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)
(fma.f64 z 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)
(-.f64 (+.f64 (.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 (/.f64 1 z)) (.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z)) 1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)
(+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (fma.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000))
(+.f64 (fma.f64 z 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z)) -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)
(+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (fma.f64 z 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000))
(fma.f64 z 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000))
(-.f64 (+.f64 (.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 (/.f64 1 z)) (.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z)) (+.f64 1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000 (*.f64 266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(-.f64 (+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (fma.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)) (/.f64 266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (*.f64 z z)))
(+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (-.f64 (fma.f64 z 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000) (/.f64 266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (*.f64 z z))))
(+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (+.f64 (fma.f64 z 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000) (/.f64 -266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (*.f64 z z))))
(+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (+.f64 (/.f64 -266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (*.f64 z z)) (fma.f64 z 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)))
(+.f64 (/.f64 -266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (*.f64 z z)) (fma.f64 z 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)))
(+.f64 (/.f64 (/.f64 -266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 z) z) (+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (fma.f64 z 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)))
(*.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z)
(*.f64 z 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000)
(-.f64 (*.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z) 1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)
(fma.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)
(fma.f64 z 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)
(-.f64 (+.f64 (.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 (/.f64 1 z)) (.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z)) 1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)
(+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (fma.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000))
(+.f64 (fma.f64 z 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z)) -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)
(+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (fma.f64 z 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000))
(fma.f64 z 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000))
(-.f64 (+.f64 (.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 (/.f64 1 z)) (.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z)) (+.f64 1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000 (*.f64 266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(-.f64 (+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (fma.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 z -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)) (/.f64 266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (*.f64 z z)))
(+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (-.f64 (fma.f64 z 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000) (/.f64 266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (*.f64 z z))))
(+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (+.f64 (fma.f64 z 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000) (/.f64 -266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (*.f64 z z))))
(+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (+.f64 (/.f64 -266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (*.f64 z z)) (fma.f64 z 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)))
(+.f64 (/.f64 -266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 (*.f64 z z)) (fma.f64 z 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)))
(+.f64 (/.f64 (/.f64 -266652883046520071525348740482827405360010560577/1000000000000000000000000000000000000000 z) z) (+.f64 (/.f64 212958331603395017982252721290761256689414443743/250000000000000000000000000000000000000000 z) (fma.f64 z 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 -1258139216721924645569802187849811575306366480263701/1000000000000000000000000000000000000000000000000)))

localize61.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(-.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))
	0.2b	(/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))
	0.1b	(/.f64 -3147848041806007/2500000000000 (+.f64 z 1))
	0.0b	(/.f64 6765203681218851/10000000000000 z)
✓	0.7b	(pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) 3)
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.1b	(exp.f64 (+.f64 z 13/2))
✓	1.8b	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) 3) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 3)) (+.f64 (.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z))) (-.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))

series13.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	z	@	0	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) 3) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 3)) (+.f64 (.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z))) (-.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
4.0ms	z	@	inf	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) 3) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 3)) (+.f64 (.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z))) (-.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
2.0ms	z	@	-inf	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) 3) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 3)) (+.f64 (.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z))) (-.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
1.0ms	z	@	inf	(pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) 3)
1.0ms	z	@	-inf	(pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) 3)

rewrite69.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

754×	`add-log-exp_binary64`
753×	`log1p-expm1-u_binary64`
753×	`expm1-log1p-u_binary64`
752×	`add-cbrt-cube_binary64`
752×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	178
1	1555	178

Stop Event

1×	node limit

Counts

2 → 16

Calls

Call 1

Inputs

(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) 3) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 3)) (+.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z))) (-.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))

(pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) 3) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) 2) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) 3) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 z)) 2) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 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simplify60.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

824×	`fma-def_binary64`
664×	`associate-/r*_binary64`
543×	`associate-/l*_binary64`
429×	`associate-*r/_binary64`
429×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	183	1717
1	584	1635
2	2143	1419

Stop Event

1×	node limit

Counts

40 → 50

Calls

Call 1

Inputs
(.f64 3546915107618868953088/5242880000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64))))
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(/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))
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Outputs
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(+.f64 (/.f64 2616977889109506457750815846793189255077252086423201/8000000000000000000000000000000000000000000 (pow.f64 z 3)) (+.f64 (-.f64 (/.f64 72549158851412916773953833755416174166594720141613/250000000000000000000000000000000000000000 (pow.f64 z 5)) (/.f64 142511427059850140800393212982622956976979998010543/2000000000000000000000000000000000000000000 (pow.f64 z 4))) (/.f64 -590803443597107570271013736740306179474441683333/500000000000000000000000000000000000000 (pow.f64 z 6))))
(/.f64 2616977889109506457750815846793189255077252086423201/8000000000000000000000000000000000000000000 (pow.f64 z 3))
(-.f64 (.f64 2616977889109506457750815846793189255077252086423201/8000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 142511427059850140800393212982622956976979998010543/2000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 4))))
(-.f64 (/.f64 2616977889109506457750815846793189255077252086423201/8000000000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 142511427059850140800393212982622956976979998010543/2000000000000000000000000000000000000000000 (pow.f64 z 4)))
(+.f64 (/.f64 2616977889109506457750815846793189255077252086423201/8000000000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 -142511427059850140800393212982622956976979998010543/2000000000000000000000000000000000000000000 (pow.f64 z 4)))
(-.f64 (+.f64 (.f64 2616977889109506457750815846793189255077252086423201/8000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 72549158851412916773953833755416174166594720141613/250000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 5)))) (*.f64 142511427059850140800393212982622956976979998010543/2000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 4))))
(+.f64 (/.f64 2616977889109506457750815846793189255077252086423201/8000000000000000000000000000000000000000000 (pow.f64 z 3)) (-.f64 (/.f64 72549158851412916773953833755416174166594720141613/250000000000000000000000000000000000000000 (pow.f64 z 5)) (/.f64 142511427059850140800393212982622956976979998010543/2000000000000000000000000000000000000000000 (pow.f64 z 4))))
(-.f64 (+.f64 (.f64 2616977889109506457750815846793189255077252086423201/8000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 72549158851412916773953833755416174166594720141613/250000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 5)))) (+.f64 (.f64 590803443597107570271013736740306179474441683333/500000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 6))) (.f64 142511427059850140800393212982622956976979998010543/2000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 4)))))
(+.f64 (/.f64 2616977889109506457750815846793189255077252086423201/8000000000000000000000000000000000000000000 (pow.f64 z 3)) (-.f64 (/.f64 72549158851412916773953833755416174166594720141613/250000000000000000000000000000000000000000 (pow.f64 z 5)) (+.f64 (/.f64 142511427059850140800393212982622956976979998010543/2000000000000000000000000000000000000000000 (pow.f64 z 4)) (/.f64 590803443597107570271013736740306179474441683333/500000000000000000000000000000000000000 (pow.f64 z 6)))))
(+.f64 (/.f64 2616977889109506457750815846793189255077252086423201/8000000000000000000000000000000000000000000 (pow.f64 z 3)) (+.f64 (-.f64 (/.f64 72549158851412916773953833755416174166594720141613/250000000000000000000000000000000000000000 (pow.f64 z 5)) (/.f64 142511427059850140800393212982622956976979998010543/2000000000000000000000000000000000000000000 (pow.f64 z 4))) (/.f64 -590803443597107570271013736740306179474441683333/500000000000000000000000000000000000000 (pow.f64 z 6))))

eval3.9s (17.6%)

Compiler: Compiled 92239 to 78487 computations (14.9% saved)

prune889.0ms (4%)

Pruning

103 alts after pruning (100 fresh and 3 done)

	Pruned	Kept	Total
New	785	73	858
Fresh	18	27	45
Picked	0	1	1
Done	3	2	5
Total	806	103	909

Error

1.7b

Counts

909 → 103

Alt Table

Click to see full alt table

Status	Error	Program
	3.5b	(.f64 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (exp.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	54.9b	(.f64 (.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 (.f64 (sqrt.f64 2/13) (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 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	55.7b	(+.f64 (.f64 172075220870680916925232387/525000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (.f64 (.f64 z (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 172075220870680916925232387/525000000000000000000000 (.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (.f64 -477386420770840464777858359/2756250000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))) (sqrt.f64 (PI.f64))))
	3.9b	(.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (.f64 -3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (.f64 (-.f64 z -1) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z))))) (*.f64 (-.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))))
	3.9b	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.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 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) (cbrt.f64 (exp.f64 (+.f64 z 13/2)))) (cbrt.f64 (exp.f64 (+.f64 z 13/2)))))))
	3.7b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (.f64 (/.f64 (fma.f64 (+.f64 z 1) -2500000000000/3147848041806007 (.f64 (.f64 z 10000000000000/6765203681218851) 1)) (.f64 (*.f64 z 10000000000000/6765203681218851) (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	4.9b	(.f64 (exp.f64 (-.f64 (log.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) (+.f64 z 13/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	10.5b	(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 3) 1/3) (+.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))))
	3.6b	(.f64 (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.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))))
	4.2b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (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))))
	56.0b	(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) 172075220870680916925232387/525000000000000000000000) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))))
	4.2b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 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 (pow.f64 (cbrt.f64 (+.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))))
	3.9b	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.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 (exp.f64 z) (exp.f64 13/2)))))
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	3.6b	(.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	55.7b	(.f64 (sqrt.f64 (PI.f64)) (fma.f64 z (fma.f64 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 2/13)) -172075220870680916925232387/525000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (.f64 (sqrt.f64 2/13) (fma.f64 172075220870680916925232387/525000000000000000000000 (+.f64 (log.f64 13/2) -1/13) -477386420770840464777858359/2756250000000000000000000)))) (/.f64 (*.f64 (sqrt.f64 2) 172075220870680916925232387/525000000000000000000000) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13)))))
	3.6b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (/.f64 1 (exp.f64 (+.f64 (+.f64 z -1) 15/2)))) (+.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))))
	3.9b	(.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z))))) (.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 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))))
✓	53.1b	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
	55.2b	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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 (exp.f64 13/2) (+.f64 (+.f64 z 1) (.f64 1/2 (.f64 z z)))))))
	3.7b	(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) 3) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))

Compiler

Compiled 20104 to 17413 computations (13.4% saved)

localize68.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(+.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)))
	0.2b	(/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))
	0.1b	(/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))
	0.0b	(/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))
	1.0b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.1b	(exp.f64 (+.f64 z 13/2))
✓	1.7b	(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite60.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

758×	`log-prod_binary64`
277×	`pow1/3_binary64`
276×	`expm1-udef_binary64`
276×	`log1p-udef_binary64`
254×	`pow3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	27
1	314	27
2	4123	27

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify73.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

531×	`cancel-sign-sub-inv_binary64`
388×	`fma-neg_binary64`
323×	`distribute-rgt-neg-out_binary64`
289×	`fma-def_binary64`
270×	`distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	821
1	249	799
2	848	698
3	4188	648

Stop Event

1×	node limit

Counts

44 → 43

Calls

Call 1

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

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

localize52.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))
	0.2b	(+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))
	0.2b	(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000)
	0.2b	(/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))
✓	0.5b	(/.f64 -883075145810703/5000000000000 (+.f64 z 3))
✓	0.5b	(/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.1b	(exp.f64 (+.f64 z 13/2))

series5.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))
1.0ms	z	@	inf	(/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))
1.0ms	z	@	-inf	(/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))
0.0ms	z	@	inf	(/.f64 -883075145810703/5000000000000 (+.f64 z 3))
0.0ms	z	@	0	(/.f64 -883075145810703/5000000000000 (+.f64 z 3))

rewrite69.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

679×	`log-prod_binary64`
383×	`pow2_binary64`
269×	`expm1-udef_binary64`
269×	`log1p-udef_binary64`
266×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	22
1	312	22
2	3941	22

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))
(/.f64 -883075145810703/5000000000000 (+.f64 z 3))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -883075145810703/5000000000000 (/.f64 1 (+.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (cbrt.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (+.f64 z 3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (+.f64 z 3) 2))) (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 *.f64 883075145810703/5000000000000 (/.f64 1 (+.f64 -3 (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 z 3)) -883075145810703/5000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -883075145810703/5000000000000 (+.f64 27 (pow.f64 z 3))) (-.f64 (fma.f64 z z 9) (*.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -883075145810703/5000000000000 (fma.f64 z z -9)) (+.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 pow.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 z 3) -5000000000000/883075145810703) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (+.f64 z 3) -5000000000000/883075145810703) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (+.f64 z 3) 2)))))) (#(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 (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) 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 exp.f64 (*.f64 (log.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3))))))))

simplify53.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

415×	`fma-def_binary64`
411×	`distribute-rgt-neg-in_binary64`
400×	`distribute-rgt-out_binary64`
387×	`associate-l_binary64`
353×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	536
1	249	499
2	810	464
3	4365	438

Stop Event

1×	node limit

Counts

98 → 99

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))
(/.f64 (sqrt.f64 2) (/.f64 (exp.f64 13/2) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 -1 (.f64 (/.f64 (.f64 (sqrt.f64 2) z) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 (PI.f64))))
(fma.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 13/2) z))) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (/.f64 (neg.f64 (sqrt.f64 2)) (/.f64 (exp.f64 13/2) z))))
(.f64 (sqrt.f64 (PI.f64)) (-.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) z)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (-.f64 1 z)))
(+.f64 (.f64 -1 (.f64 (/.f64 (.f64 (sqrt.f64 2) z) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -1 (.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (sqrt.f64 2) (exp.f64 13/2))) (.f64 1/2 (/.f64 (sqrt.f64 2) (exp.f64 13/2)))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))))
(fma.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 13/2) z))) (fma.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) -1/2) (.f64 z z))) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))))
(-.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) 1/2) (.f64 z z)) (/.f64 (sqrt.f64 2) (exp.f64 13/2)))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) z)))
(.f64 (sqrt.f64 (PI.f64)) (-.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) 1/2) (.f64 z z) (/.f64 (sqrt.f64 2) (exp.f64 13/2))) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) z)))
(.f64 (sqrt.f64 (PI.f64)) (-.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (+.f64 (.f64 z (.f64 z -1/2)) z))))
(+.f64 (.f64 -1 (.f64 (/.f64 (.f64 (sqrt.f64 2) z) (exp.f64 13/2)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -1 (.f64 (.f64 (pow.f64 z 3) (+.f64 (.f64 1/6 (/.f64 (sqrt.f64 2) (exp.f64 13/2))) (+.f64 (.f64 -1 (+.f64 (.f64 -1 (/.f64 (sqrt.f64 2) (exp.f64 13/2))) (.f64 1/2 (/.f64 (sqrt.f64 2) (exp.f64 13/2))))) (.f64 -1/2 (/.f64 (sqrt.f64 2) (exp.f64 13/2)))))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -1 (.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (sqrt.f64 2) (exp.f64 13/2))) (.f64 1/2 (/.f64 (sqrt.f64 2) (exp.f64 13/2)))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 (PI.f64))))))
(fma.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 13/2) z))) (fma.f64 -1 (.f64 (pow.f64 z 3) (.f64 (fma.f64 1/6 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (fma.f64 -1 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) -1/2) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) -1/2))) (sqrt.f64 (PI.f64)))) (fma.f64 -1 (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) -1/2) (.f64 z z))) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) 1/2) (.f64 z z)) (/.f64 (sqrt.f64 2) (exp.f64 13/2)))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (neg.f64 (sqrt.f64 2)) (/.f64 (exp.f64 13/2) z)) (neg.f64 (.f64 (pow.f64 z 3) (fma.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) 1/6 (.f64 0 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) -1/2))))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) 1/2) (.f64 z z) (/.f64 (sqrt.f64 2) (exp.f64 13/2))) (-.f64 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (neg.f64 z)) (*.f64 (pow.f64 z 3) (fma.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) 1/6 0)))))
(.f64 (sqrt.f64 (PI.f64)) (-.f64 (-.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (+.f64 (.f64 z (.f64 z -1/2)) z))) (/.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (pow.f64 z 3))) (exp.f64 13/2))))
(*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))))
(*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))))
(*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))))
(*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))))
(.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 13/2 (.f64 -1 z)))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))))
(.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 13/2 (.f64 -1 z)))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))))
(.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 13/2 (.f64 -1 z)))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))))
(.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 13/2 (.f64 -1 z)))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))))
-294358381936901/5000000000000
(-.f64 (*.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000)
(fma.f64 294358381936901/15000000000000 z -294358381936901/5000000000000)
(fma.f64 z 294358381936901/15000000000000 -294358381936901/5000000000000)
(-.f64 (+.f64 (.f64 -294358381936901/45000000000000 (pow.f64 z 2)) (.f64 294358381936901/15000000000000 z)) 294358381936901/5000000000000)
(+.f64 (.f64 (.f64 z z) -294358381936901/45000000000000) (fma.f64 294358381936901/15000000000000 z -294358381936901/5000000000000))
(fma.f64 (*.f64 z z) -294358381936901/45000000000000 (fma.f64 z 294358381936901/15000000000000 -294358381936901/5000000000000))
(fma.f64 z 294358381936901/15000000000000 (fma.f64 z (*.f64 z -294358381936901/45000000000000) -294358381936901/5000000000000))
(-.f64 (+.f64 (.f64 -294358381936901/45000000000000 (pow.f64 z 2)) (+.f64 (.f64 294358381936901/15000000000000 z) (*.f64 294358381936901/135000000000000 (pow.f64 z 3)))) 294358381936901/5000000000000)
(+.f64 (fma.f64 -294358381936901/45000000000000 (.f64 z z) (fma.f64 294358381936901/15000000000000 z (.f64 (pow.f64 z 3) 294358381936901/135000000000000))) -294358381936901/5000000000000)
(+.f64 (fma.f64 (.f64 z z) -294358381936901/45000000000000 (fma.f64 z 294358381936901/15000000000000 (.f64 (pow.f64 z 3) 294358381936901/135000000000000))) -294358381936901/5000000000000)
(fma.f64 z (*.f64 z -294358381936901/45000000000000) (fma.f64 (pow.f64 z 3) 294358381936901/135000000000000 (fma.f64 z 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 (/.f64 2649225437432109/5000000000000 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 (/.f64 2649225437432109/5000000000000 z) z) (/.f64 7947676312296327/5000000000000 (pow.f64 z 3))) (/.f64 -883075145810703/5000000000000 z))
(+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (+.f64 (/.f64 -883075145810703/5000000000000 z) (/.f64 -7947676312296327/5000000000000 (pow.f64 z 3))))
(-.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 (/.f64 2649225437432109/5000000000000 z) z) (/.f64 23843028936888981/5000000000000 (pow.f64 z 4))) (/.f64 7947676312296327/5000000000000 (pow.f64 z 3))) (/.f64 -883075145810703/5000000000000 z))
(+.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 -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 (/.f64 2649225437432109/5000000000000 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 (/.f64 2649225437432109/5000000000000 z) z) (/.f64 7947676312296327/5000000000000 (pow.f64 z 3))) (/.f64 -883075145810703/5000000000000 z))
(+.f64 (/.f64 2649225437432109/5000000000000 (*.f64 z z)) (+.f64 (/.f64 -883075145810703/5000000000000 z) (/.f64 -7947676312296327/5000000000000 (pow.f64 z 3))))
(-.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 (/.f64 2649225437432109/5000000000000 z) z) (/.f64 23843028936888981/5000000000000 (pow.f64 z 4))) (/.f64 7947676312296327/5000000000000 (pow.f64 z 3))) (/.f64 -883075145810703/5000000000000 z))
(+.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)))))

localize73.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))
	0.1b	(/.f64 -3147848041806007/2500000000000 (-.f64 z -1))
	0.0b	(/.f64 z -3147848041806007/2500000000000)
	0.0b	(/.f64 6765203681218851/10000000000000 z)
	0.9b	(+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.1b	(exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))
	1.7b	(.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))))

rewrite0.0ms (0%)

Counts: 0 → 0

simplify11.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

localize66.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))
	0.1b	(/.f64 -3147848041806007/2500000000000 (+.f64 z 1))
	0.1b	(/.f64 -3147848041806007/2500000000000 (-.f64 z -1))
	0.0b	(/.f64 6765203681218851/10000000000000 z)
✓	1.0b	(fma.f64 6765203681218851/10000000000000 (/.f64 1 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.1b	(exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))
	1.7b	(.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))))

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

-inf

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

0.0ms

inf

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

rewrite55.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

932×	`pow1_binary64`
876×	`log1p-expm1-u_binary64`
876×	`expm1-log1p-u_binary64`
875×	`add-log-exp_binary64`
860×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	199	13
2	2420	13

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify48.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

727×	`distribute-neg-frac_binary64`
580×	`times-frac_binary64`
529×	`fma-def_binary64`
449×	`associate-l_binary64`
382×	`associate-/l/_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	38	180
1	105	180
2	243	180
3	568	177
4	1678	173
5	6840	171

Stop Event

1×	node limit

Counts

33 → 35

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

localize52.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(/.f64 2501468655737381/200000000000000 (-.f64 z -4))
	0.2b	(/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))
	0.1b	(/.f64 -3147848041806007/2500000000000 (+.f64 z 1))
	0.0b	(/.f64 6765203681218851/10000000000000 z)
	0.9b	(+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.1b	(exp.f64 (+.f64 z 13/2))
✓	1.8b	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.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)) (cbrt.f64 (.f64 (*.f64 (exp.f64 (+.f64 z 13/2)) (exp.f64 (+.f64 z 13/2))) (exp.f64 (+.f64 z 13/2)))))))

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.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)) (cbrt.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z 13/2)) (exp.f64 (+.f64 z 13/2))) (exp.f64 (+.f64 z 13/2)))))))

1.0ms

-inf

(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.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)) (cbrt.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z 13/2)) (exp.f64 (+.f64 z 13/2))) (exp.f64 (+.f64 z 13/2)))))))

1.0ms

inf

(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.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)) (cbrt.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z 13/2)) (exp.f64 (+.f64 z 13/2))) (exp.f64 (+.f64 z 13/2)))))))

rewrite69.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

663×	`add-log-exp_binary64`
662×	`log1p-expm1-u_binary64`
662×	`expm1-log1p-u_binary64`
661×	`add-cbrt-cube_binary64`
660×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	99
1	1381	99

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

Inputs

(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.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)) (cbrt.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z 13/2)) (exp.f64 (+.f64 z 13/2))) (exp.f64 (+.f64 z 13/2)))))))

Outputs

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

simplify54.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

743×	`fma-def_binary64`
582×	`associate-l_binary64`
558×	`associate-/r*_binary64`
543×	`associate-/l*_binary64`
422×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	143	1497
1	474	1391
2	1876	1183

Stop Event

1×	node limit

Counts

18 → 26

Calls

Call 1

Inputs
(.f64 6765203681218851/10000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 6765203681218851/10000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (.f64 (exp.f64 13/2) z)) (sqrt.f64 (PI.f64)))) (.f64 (sqrt.f64 (PI.f64)) (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 6765203681218851/10000000000000 (.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13))) (.f64 -487331279103252896793517613/525000000000000000000000 (sqrt.f64 2/13)))) (exp.f64 13/2)) (.f64 6765203681218851/10000000000000 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2/13)) (exp.f64 13/2))))))
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Outputs
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(fma.f64 611458333333720910362579/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (.f64 z (exp.f64 (+.f64 13/2 z))))) (fma.f64 4925021701373474946951247/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) (.f64 z z)) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))))) (.f64 9999999999998099/10000000000000000 (.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 z)))))))
(fma.f64 611458333333720910362579/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) (.f64 z (exp.f64 (+.f64 13/2 z)))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))) (/.f64 (.f64 4925021701373474946951247/25000000000000000000000 (sqrt.f64 2)) (/.f64 (exp.f64 (+.f64 13/2 z)) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (.f64 z z)))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) (+.f64 (.f64 611458333333720910362579/25000000000000000000000 (/.f64 (sqrt.f64 2) z)) (/.f64 (.f64 4925021701373474946951247/25000000000000000000000 (/.f64 (sqrt.f64 2) z)) z))) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) 9999999999998099/10000000000000000))))
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(fma.f64 611458333333720910362579/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (.f64 z (exp.f64 (+.f64 13/2 z))))) (fma.f64 10831820445529922198405471/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (.f64 (exp.f64 (+.f64 13/2 z)) (pow.f64 z 3)) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))))) (fma.f64 4925021701373474946951247/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) (.f64 z z)) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))))) (.f64 9999999999998099/10000000000000000 (.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 z))))))))
(+.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))) (/.f64 (.f64 4925021701373474946951247/25000000000000000000000 (sqrt.f64 2)) (/.f64 (exp.f64 (+.f64 13/2 z)) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (.f64 z z)))))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (.f64 z (exp.f64 (+.f64 13/2 z)))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))) (.f64 10831820445529922198405471/25000000000000000000000 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (/.f64 (*.f64 (exp.f64 (+.f64 13/2 z)) (pow.f64 z 3)) (sqrt.f64 2)))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) (+.f64 (.f64 611458333333720910362579/25000000000000000000000 (/.f64 (sqrt.f64 2) z)) (/.f64 (.f64 10831820445529922198405471/25000000000000000000000 (sqrt.f64 2)) (pow.f64 z 3)))) (fma.f64 4925021701373474946951247/25000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (.f64 z z))) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) 9999999999998099/10000000000000000)))))
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (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)))) (sqrt.f64 (PI.f64))))
(.f64 9999999999998099/10000000000000000 (.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 z)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))))
(/.f64 (.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))) (/.f64 (exp.f64 (+.f64 13/2 z)) 9999999999998099/10000000000000000))
(+.f64 (.f64 611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2))))) (.f64 (exp.f64 (-.f64 13/2 (.f64 -1 z))) z)) (sqrt.f64 (PI.f64)))) (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (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)))) (sqrt.f64 (PI.f64)))))
(fma.f64 611458333333720910362579/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (.f64 z (exp.f64 (+.f64 13/2 z))))) (.f64 9999999999998099/10000000000000000 (.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 z))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))) (.f64 611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (.f64 z (exp.f64 (+.f64 13/2 z)))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))))))
(.f64 (sqrt.f64 (PI.f64)) (fma.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 2) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z)))) (.f64 611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (*.f64 z (exp.f64 (+.f64 13/2 z)))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))))))
(+.f64 (.f64 611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2))))) (.f64 (exp.f64 (-.f64 13/2 (.f64 -1 z))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (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)))) (sqrt.f64 (PI.f64)))) (.f64 4925021701373474946951247/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2))))) (.f64 (exp.f64 (-.f64 13/2 (.f64 -1 z))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))))))
(fma.f64 611458333333720910362579/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (.f64 z (exp.f64 (+.f64 13/2 z))))) (fma.f64 4925021701373474946951247/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) (.f64 z z)) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))))) (.f64 9999999999998099/10000000000000000 (.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 z)))))))
(fma.f64 611458333333720910362579/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) (.f64 z (exp.f64 (+.f64 13/2 z)))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))) (/.f64 (.f64 4925021701373474946951247/25000000000000000000000 (sqrt.f64 2)) (/.f64 (exp.f64 (+.f64 13/2 z)) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (.f64 z z)))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) (+.f64 (.f64 611458333333720910362579/25000000000000000000000 (/.f64 (sqrt.f64 2) z)) (/.f64 (.f64 4925021701373474946951247/25000000000000000000000 (/.f64 (sqrt.f64 2) z)) z))) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) 9999999999998099/10000000000000000))))
(+.f64 (.f64 10831820445529922198405471/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2))))) (.f64 (exp.f64 (-.f64 13/2 (.f64 -1 z))) (pow.f64 z 3))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2))))) (.f64 (exp.f64 (-.f64 13/2 (.f64 -1 z))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (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)))) (sqrt.f64 (PI.f64)))) (.f64 4925021701373474946951247/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2))))) (.f64 (exp.f64 (-.f64 13/2 (*.f64 -1 z))) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))))))
(fma.f64 611458333333720910362579/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (.f64 z (exp.f64 (+.f64 13/2 z))))) (fma.f64 10831820445529922198405471/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (.f64 (exp.f64 (+.f64 13/2 z)) (pow.f64 z 3)) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))))) (fma.f64 4925021701373474946951247/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) (.f64 z z)) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))))) (.f64 9999999999998099/10000000000000000 (.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 z))))))))
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(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (+.f64 13/2 z))) (+.f64 (.f64 611458333333720910362579/25000000000000000000000 (/.f64 (sqrt.f64 2) z)) (/.f64 (.f64 10831820445529922198405471/25000000000000000000000 (sqrt.f64 2)) (pow.f64 z 3)))) (fma.f64 4925021701373474946951247/25000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (.f64 z z))) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))) (.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) 9999999999998099/10000000000000000)))))

eval2.0s (8.9%)

Compiler: Compiled 77854 to 65857 computations (15.4% saved)

prune767.0ms (3.5%)

Pruning

125 alts after pruning (121 fresh and 4 done)

	Pruned	Kept	Total
New	760	43	803
Fresh	17	78	95
Picked	0	1	1
Done	4	3	7
Total	781	125	906

Error

1.6b

Counts

906 → 125

Alt Table

Click to see full alt table

Status	Error	Program
	4.2b	(.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (+.f64 z -1) 15/2))) (+.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 z (.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) 6765203681218851/10000000000000)) (.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) 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))))
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	3.7b	(.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (fma.f64 6765203681218851/10000000000000 (/.f64 1 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	3.6b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (/.f64 1 (exp.f64 (+.f64 (+.f64 z -1) 15/2)))) (+.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))))
	3.6b	(.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	3.9b	(.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z))))) (.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 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))))
✓	53.1b	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
▶	58.7b	(.f64 (sqrt.f64 2/13) (.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
	55.2b	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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 (exp.f64 13/2) (+.f64 (+.f64 z 1) (.f64 1/2 (.f64 z z)))))))

Compiler

Compiled 24137 to 20849 computations (13.6% saved)

localize54.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.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)))
	0.2b	(/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))
	0.1b	(/.f64 -3147848041806007/2500000000000 (-.f64 z -1))
	0.0b	(/.f64 6765203681218851/10000000000000 z)
✓	1.0b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.1b	(exp.f64 (+.f64 z 13/2))
	1.7b	(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite75.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

990×	`prod-diff_binary64`
466×	`fma-def_binary64`
239×	`fma-neg_binary64`
236×	`log-div_binary64`
230×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	265	16
2	3770	16

Stop Event

1×	node limit

Counts

1 → 77

Calls

Call 1

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

Outputs

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simplify44.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

737×	`distribute-neg-frac_binary64`
536×	`unswap-sqr_binary64`
427×	`fma-def_binary64`
400×	`associate-/r*_binary64`
390×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	138
1	95	138
2	215	138
3	507	135
4	1375	135
5	5100	135

Stop Event

1×	node limit

Counts

89 → 91

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

localize30.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))
	0.2b	(+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))
	0.2b	(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000)
	0.2b	(/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))
	0.5b	(/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))
✓	0.6b	(+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.1b	(exp.f64 (+.f64 z 13/2))

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

(+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))

1.0ms

inf

(+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))

0.0ms

-inf

(+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))

rewrite54.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

328×	`add-sqr-sqrt_binary64`
314×	`add-exp-log_binary64`
314×	`add-log-exp_binary64`
314×	`log1p-expm1-u_binary64`
314×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	40
1	638	40

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

Inputs

(+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 86646857016510484912345483801/25000000000000000000000000 (-.f64 -294358381936901/5000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) 2) (-.f64 -294358381936901/5000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -294358381936901/5000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 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(+.f64 z 7)))))) 2) (-.f64 86646857016510484912345483801/25000000000000000000000000 (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) -294358381936901/5000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000)) 3) (pow.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) 3)) (+.f64 (*.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000)) (+.f64 -294358381936901/5000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000))) (-.f64 (pow.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) 2) (*.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) -294358381936901/5000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) 2) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) -294358381936901/5000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))) -294358381936901/5000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))))))))

simplify43.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

653×	`fma-neg_binary64`
589×	`fma-def_binary64`
569×	`distribute-neg-frac_binary64`
536×	`unswap-sqr_binary64`
511×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	35	141
1	86	139
2	206	135
3	558	129
4	1435	126
5	4752	122

Stop Event

1×	node limit

Counts

40 → 42

Calls

Call 1

Inputs
172075220870680916925232387/525000000000000000000000
(+.f64 172075220870680916925232387/525000000000000000000000 (*.f64 -531474773451746023527858359/2756250000000000000000000 z))
(+.f64 172075220870680916925232387/525000000000000000000000 (+.f64 (.f64 -531474773451746023527858359/2756250000000000000000000 z) (.f64 44644650910778483862887086541/463050000000000000000000000 (pow.f64 z 2))))
(+.f64 172075220870680916925232387/525000000000000000000000 (+.f64 (.f64 -937544136690486172275156909521/19448100000000000000000000000 (pow.f64 z 3)) (+.f64 (.f64 -531474773451746023527858359/2756250000000000000000000 z) (*.f64 44644650910778483862887086541/463050000000000000000000000 (pow.f64 z 2)))))
-578716763873803901/10000000000000000
(-.f64 (*.f64 19279621695433005785362579/25000000000000000000000 (/.f64 1 z)) 578716763873803901/10000000000000000)
(-.f64 (.f64 19279621695433005785362579/25000000000000000000000 (/.f64 1 z)) (+.f64 578716763873803901/10000000000000000 (.f64 38548851575978449553048753/25000000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(-.f64 (+.f64 (.f64 77045745113596865198405471/25000000000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 19279621695433005785362579/25000000000000000000000 (/.f64 1 z))) (+.f64 578716763873803901/10000000000000000 (*.f64 38548851575978449553048753/25000000000000000000000 (/.f64 1 (pow.f64 z 2)))))
-578716763873803901/10000000000000000
(-.f64 (*.f64 19279621695433005785362579/25000000000000000000000 (/.f64 1 z)) 578716763873803901/10000000000000000)
(-.f64 (.f64 19279621695433005785362579/25000000000000000000000 (/.f64 1 z)) (+.f64 578716763873803901/10000000000000000 (.f64 38548851575978449553048753/25000000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(-.f64 (+.f64 (.f64 77045745113596865198405471/25000000000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 19279621695433005785362579/25000000000000000000000 (/.f64 1 z))) (+.f64 578716763873803901/10000000000000000 (*.f64 38548851575978449553048753/25000000000000000000000 (/.f64 1 (pow.f64 z 2)))))

Outputs
172075220870680916925232387/525000000000000000000000
(+.f64 172075220870680916925232387/525000000000000000000000 (*.f64 -531474773451746023527858359/2756250000000000000000000 z))
(fma.f64 -531474773451746023527858359/2756250000000000000000000 z 172075220870680916925232387/525000000000000000000000)
(+.f64 172075220870680916925232387/525000000000000000000000 (+.f64 (.f64 -531474773451746023527858359/2756250000000000000000000 z) (.f64 44644650910778483862887086541/463050000000000000000000000 (pow.f64 z 2))))
(+.f64 172075220870680916925232387/525000000000000000000000 (fma.f64 -531474773451746023527858359/2756250000000000000000000 z (.f64 44644650910778483862887086541/463050000000000000000000000 (.f64 z z))))
(+.f64 172075220870680916925232387/525000000000000000000000 (fma.f64 -531474773451746023527858359/2756250000000000000000000 z (.f64 z (.f64 z 44644650910778483862887086541/463050000000000000000000000))))
(fma.f64 z (*.f64 z 44644650910778483862887086541/463050000000000000000000000) (fma.f64 -531474773451746023527858359/2756250000000000000000000 z 172075220870680916925232387/525000000000000000000000))
(fma.f64 z (fma.f64 z 44644650910778483862887086541/463050000000000000000000000 -531474773451746023527858359/2756250000000000000000000) 172075220870680916925232387/525000000000000000000000)
(+.f64 172075220870680916925232387/525000000000000000000000 (+.f64 (.f64 -937544136690486172275156909521/19448100000000000000000000000 (pow.f64 z 3)) (+.f64 (.f64 -531474773451746023527858359/2756250000000000000000000 z) (*.f64 44644650910778483862887086541/463050000000000000000000000 (pow.f64 z 2)))))
(+.f64 172075220870680916925232387/525000000000000000000000 (fma.f64 -937544136690486172275156909521/19448100000000000000000000000 (pow.f64 z 3) (fma.f64 -531474773451746023527858359/2756250000000000000000000 z (.f64 44644650910778483862887086541/463050000000000000000000000 (.f64 z z)))))
(+.f64 172075220870680916925232387/525000000000000000000000 (fma.f64 -937544136690486172275156909521/19448100000000000000000000000 (pow.f64 z 3) (fma.f64 -531474773451746023527858359/2756250000000000000000000 z (.f64 z (.f64 z 44644650910778483862887086541/463050000000000000000000000)))))
(fma.f64 -937544136690486172275156909521/19448100000000000000000000000 (pow.f64 z 3) (fma.f64 z (*.f64 z 44644650910778483862887086541/463050000000000000000000000) (fma.f64 -531474773451746023527858359/2756250000000000000000000 z 172075220870680916925232387/525000000000000000000000)))
(fma.f64 z (fma.f64 z 44644650910778483862887086541/463050000000000000000000000 -531474773451746023527858359/2756250000000000000000000) (fma.f64 -937544136690486172275156909521/19448100000000000000000000000 (pow.f64 z 3) 172075220870680916925232387/525000000000000000000000))
(fma.f64 z (fma.f64 z (fma.f64 z -937544136690486172275156909521/19448100000000000000000000000 44644650910778483862887086541/463050000000000000000000000) -531474773451746023527858359/2756250000000000000000000) 172075220870680916925232387/525000000000000000000000)
-578716763873803901/10000000000000000
(-.f64 (*.f64 19279621695433005785362579/25000000000000000000000 (/.f64 1 z)) 578716763873803901/10000000000000000)
(+.f64 (/.f64 19279621695433005785362579/25000000000000000000000 z) -578716763873803901/10000000000000000)
(-.f64 (.f64 19279621695433005785362579/25000000000000000000000 (/.f64 1 z)) (+.f64 578716763873803901/10000000000000000 (.f64 38548851575978449553048753/25000000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(-.f64 (/.f64 19279621695433005785362579/25000000000000000000000 z) (+.f64 578716763873803901/10000000000000000 (/.f64 38548851575978449553048753/25000000000000000000000 (*.f64 z z))))
(+.f64 (/.f64 19279621695433005785362579/25000000000000000000000 z) (-.f64 -578716763873803901/10000000000000000 (/.f64 38548851575978449553048753/25000000000000000000000 (*.f64 z z))))
(+.f64 (+.f64 (/.f64 19279621695433005785362579/25000000000000000000000 z) -578716763873803901/10000000000000000) (/.f64 -38548851575978449553048753/25000000000000000000000 (*.f64 z z)))
(-.f64 (+.f64 (.f64 77045745113596865198405471/25000000000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 19279621695433005785362579/25000000000000000000000 (/.f64 1 z))) (+.f64 578716763873803901/10000000000000000 (*.f64 38548851575978449553048753/25000000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 (/.f64 77045745113596865198405471/25000000000000000000000 (pow.f64 z 3)) (-.f64 (/.f64 19279621695433005785362579/25000000000000000000000 z) (+.f64 578716763873803901/10000000000000000 (/.f64 38548851575978449553048753/25000000000000000000000 (*.f64 z z)))))
(+.f64 (/.f64 77045745113596865198405471/25000000000000000000000 (pow.f64 z 3)) (+.f64 (/.f64 19279621695433005785362579/25000000000000000000000 z) (-.f64 -578716763873803901/10000000000000000 (/.f64 38548851575978449553048753/25000000000000000000000 (*.f64 z z)))))
(+.f64 (/.f64 19279621695433005785362579/25000000000000000000000 z) (+.f64 (+.f64 (/.f64 77045745113596865198405471/25000000000000000000000 (pow.f64 z 3)) (/.f64 -38548851575978449553048753/25000000000000000000000 (*.f64 z z))) -578716763873803901/10000000000000000))
(+.f64 (/.f64 19279621695433005785362579/25000000000000000000000 z) (+.f64 (/.f64 -38548851575978449553048753/25000000000000000000000 (*.f64 z z)) (+.f64 (/.f64 77045745113596865198405471/25000000000000000000000 (pow.f64 z 3)) -578716763873803901/10000000000000000)))
(+.f64 (/.f64 19279621695433005785362579/25000000000000000000000 z) (-.f64 (-.f64 -578716763873803901/10000000000000000 (/.f64 38548851575978449553048753/25000000000000000000000 (*.f64 z z))) (/.f64 -77045745113596865198405471/25000000000000000000000 (pow.f64 z 3))))
(fma.f64 (/.f64 1 (*.f64 z z)) (+.f64 (/.f64 77045745113596865198405471/25000000000000000000000 z) -38548851575978449553048753/25000000000000000000000) (+.f64 (/.f64 19279621695433005785362579/25000000000000000000000 z) -578716763873803901/10000000000000000))
-578716763873803901/10000000000000000
(-.f64 (*.f64 19279621695433005785362579/25000000000000000000000 (/.f64 1 z)) 578716763873803901/10000000000000000)
(+.f64 (/.f64 19279621695433005785362579/25000000000000000000000 z) -578716763873803901/10000000000000000)
(-.f64 (.f64 19279621695433005785362579/25000000000000000000000 (/.f64 1 z)) (+.f64 578716763873803901/10000000000000000 (.f64 38548851575978449553048753/25000000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(-.f64 (/.f64 19279621695433005785362579/25000000000000000000000 z) (+.f64 578716763873803901/10000000000000000 (/.f64 38548851575978449553048753/25000000000000000000000 (*.f64 z z))))
(+.f64 (/.f64 19279621695433005785362579/25000000000000000000000 z) (-.f64 -578716763873803901/10000000000000000 (/.f64 38548851575978449553048753/25000000000000000000000 (*.f64 z z))))
(+.f64 (+.f64 (/.f64 19279621695433005785362579/25000000000000000000000 z) -578716763873803901/10000000000000000) (/.f64 -38548851575978449553048753/25000000000000000000000 (*.f64 z z)))
(-.f64 (+.f64 (.f64 77045745113596865198405471/25000000000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 19279621695433005785362579/25000000000000000000000 (/.f64 1 z))) (+.f64 578716763873803901/10000000000000000 (*.f64 38548851575978449553048753/25000000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 (/.f64 77045745113596865198405471/25000000000000000000000 (pow.f64 z 3)) (-.f64 (/.f64 19279621695433005785362579/25000000000000000000000 z) (+.f64 578716763873803901/10000000000000000 (/.f64 38548851575978449553048753/25000000000000000000000 (*.f64 z z)))))
(+.f64 (/.f64 77045745113596865198405471/25000000000000000000000 (pow.f64 z 3)) (+.f64 (/.f64 19279621695433005785362579/25000000000000000000000 z) (-.f64 -578716763873803901/10000000000000000 (/.f64 38548851575978449553048753/25000000000000000000000 (*.f64 z z)))))
(+.f64 (/.f64 19279621695433005785362579/25000000000000000000000 z) (+.f64 (+.f64 (/.f64 77045745113596865198405471/25000000000000000000000 (pow.f64 z 3)) (/.f64 -38548851575978449553048753/25000000000000000000000 (*.f64 z z))) -578716763873803901/10000000000000000))
(+.f64 (/.f64 19279621695433005785362579/25000000000000000000000 z) (+.f64 (/.f64 -38548851575978449553048753/25000000000000000000000 (*.f64 z z)) (+.f64 (/.f64 77045745113596865198405471/25000000000000000000000 (pow.f64 z 3)) -578716763873803901/10000000000000000)))
(+.f64 (/.f64 19279621695433005785362579/25000000000000000000000 z) (-.f64 (-.f64 -578716763873803901/10000000000000000 (/.f64 38548851575978449553048753/25000000000000000000000 (*.f64 z z))) (/.f64 -77045745113596865198405471/25000000000000000000000 (pow.f64 z 3))))
(fma.f64 (/.f64 1 (*.f64 z z)) (+.f64 (/.f64 77045745113596865198405471/25000000000000000000000 z) -38548851575978449553048753/25000000000000000000000) (+.f64 (/.f64 19279621695433005785362579/25000000000000000000000 z) -578716763873803901/10000000000000000))

localize69.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))
	0.1b	(/.f64 -3147848041806007/2500000000000 (-.f64 z -1))
	0.0b	(/.f64 z -3147848041806007/2500000000000)
	0.0b	(/.f64 6765203681218851/10000000000000 z)
	0.9b	(+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.1b	(exp.f64 (+.f64 (+.f64 z -1) 15/2))
✓	1.7b	(.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))))

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

(*.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))))

0.0ms

-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 1 (exp.f64 (+.f64 (+.f64 z -1) 15/2))))

0.0ms

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 1 (exp.f64 (+.f64 (+.f64 z -1) 15/2))))

rewrite72.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

466×	`prod-diff_binary64`
386×	`log1p-udef_binary64`
233×	`add-sqr-sqrt_binary64`
222×	`pow1_binary64`
221×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	27
1	520	27
2	6363	27

Stop Event

1×	node limit

Counts

1 → 29

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 1 (exp.f64 (+.f64 (+.f64 z -1) 15/2))))

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 13/2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 (+.f64 z 13/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 (exp.f64 (+.f64 z 13/2)) (sqrt.f64 (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) 2) (pow.f64 (+.f64 z 13/2) (*.f64 2 (+.f64 z -1/2))))) (/.f64 (exp.f64 (+.f64 z 13/2)) (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) (/.f64 (exp.f64 (+.f64 z 13/2)) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) (neg.f64 (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (sqrt.f64 (exp.f64 (+.f64 z 13/2)))) (sqrt.f64 (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 1) (exp.f64 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (exp.f64 (+.f64 z -1))) (exp.f64 15/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) 2)) (cbrt.f64 (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) (neg.f64 (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) -1) (neg.f64 (exp.f64 (+.f64 z 13/2))))))) (#(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 13/2)))) 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 13/2)))) 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 13/2))))) 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 13/2))))) 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 13/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 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 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 13/2)))))))))) (#(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 13/2)))) 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 13/2)) 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 (neg.f64 z) -13/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 z) -13/2)) 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 exp.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) (+.f64 z 13/2)))))) (#(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 13/2)) 1))))) (#(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 13/2))))))))) (#(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 13/2))))))))))

simplify50.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

531×	`cancel-sign-sub-inv_binary64`
388×	`fma-neg_binary64`
323×	`distribute-rgt-neg-out_binary64`
289×	`fma-def_binary64`
270×	`distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	821
1	249	799
2	848	698
3	4188	648

Stop Event

1×	node limit

Counts

41 → 40

Calls

Call 1

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

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

localize66.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))
	0.2b	(+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000)))
	0.1b	(+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3)))
	0.0b	(/.f64 6765203681218851/10000000000000 z)
	1.0b	(+.f64 (.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))) (-.f64 z -1)) (.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) -3147848041806007/2500000000000))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.1b	(exp.f64 (+.f64 (+.f64 z -1) 15/2))
	1.7b	(/.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)))

rewrite0.0ms (0%)

Counts: 0 → 0

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

localize74.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(/.f64 -3147848041806007/2500000000000 (-.f64 z -1))
	0.1b	(log.f64 (-.f64 13/2 (*.f64 -1 z)))
	0.0b	(/.f64 z -3147848041806007/2500000000000)
	0.0b	(/.f64 6765203681218851/10000000000000 z)
✓	1.0b	(sqrt.f64 (PI.f64))
✓	1.1b	(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
✓	1.7b	(.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)))
✓	2.6b	(exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2))))

series5.0ms (0%)

Counts

4 → 24

Calls

9 calls:

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

rewrite69.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

832×	`prod-diff_binary64`
475×	`fma-def_binary64`
280×	`expm1-udef_binary64`
280×	`log1p-udef_binary64`
274×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	52
1	372	38
2	4940	38

Stop Event

1×	node limit

Counts

4 → 95

Calls

Call 1

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

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

simplify52.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

780×	`fma-def_binary64`
598×	`cancel-sign-sub-inv_binary64`
501×	`fma-neg_binary64`
408×	`associate-l_binary64`
383×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	764
1	274	642
2	1049	564
3	5969	542

Stop Event

1×	node limit

Counts

119 → 122

Calls

Call 1

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

Outputs
(sqrt.f64 2/13)
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) (.f64 z (sqrt.f64 2/13)))) (sqrt.f64 2/13))
(fma.f64 -1 (.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) z)) (sqrt.f64 2/13))
(fma.f64 (neg.f64 (-.f64 1/13 (log.f64 13/2))) (*.f64 (sqrt.f64 2/13) z) (sqrt.f64 2/13))
(fma.f64 (-.f64 1/13 (log.f64 13/2)) (*.f64 (sqrt.f64 2/13) (neg.f64 z)) (sqrt.f64 2/13))
(fma.f64 (*.f64 (sqrt.f64 2/13) z) (+.f64 (log.f64 13/2) -1/13) (sqrt.f64 2/13))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) (.f64 z (sqrt.f64 2/13)))) (+.f64 (sqrt.f64 2/13) (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) 2))) (.f64 (pow.f64 z 2) (sqrt.f64 2/13)))))
(+.f64 (fma.f64 -1 (.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) z)) (sqrt.f64 2/13)) (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 2))) (.f64 (sqrt.f64 2/13) (.f64 z z))))
(-.f64 (fma.f64 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) 27/169) (.f64 (sqrt.f64 2/13) (.f64 z z)) (sqrt.f64 2/13)) (.f64 (-.f64 1/13 (log.f64 13/2)) (.f64 (sqrt.f64 2/13) z)))
(.f64 (sqrt.f64 2/13) (-.f64 (fma.f64 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) 27/169) (.f64 z z) 1) (*.f64 (-.f64 1/13 (log.f64 13/2)) z)))
(.f64 (sqrt.f64 2/13) (+.f64 (fma.f64 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) 27/169) (.f64 z z) 1) (*.f64 z (+.f64 (log.f64 13/2) -1/13))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) (.f64 z (sqrt.f64 2/13)))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 -27/169 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13)) (.f64 -1/6 (pow.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) 3))) 82/6591) (.f64 (pow.f64 z 3) (sqrt.f64 2/13))) (+.f64 (sqrt.f64 2/13) (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) 2))) (.f64 (pow.f64 z 2) (sqrt.f64 2/13))))))
(fma.f64 -1 (.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) z)) (fma.f64 (+.f64 (fma.f64 -27/169 (fma.f64 -1 (log.f64 13/2) 1/13) (.f64 -1/6 (pow.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 3))) -82/6591) (.f64 (sqrt.f64 2/13) (pow.f64 z 3)) (+.f64 (sqrt.f64 2/13) (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 2))) (.f64 (sqrt.f64 2/13) (.f64 z z))))))
(-.f64 (fma.f64 (fma.f64 (-.f64 1/13 (log.f64 13/2)) -27/169 (fma.f64 -1/6 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 3) -82/6591)) (.f64 (sqrt.f64 2/13) (pow.f64 z 3)) (fma.f64 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) 27/169) (.f64 (sqrt.f64 2/13) (.f64 z z)) (sqrt.f64 2/13))) (.f64 (-.f64 1/13 (log.f64 13/2)) (*.f64 (sqrt.f64 2/13) z)))
(fma.f64 (sqrt.f64 2/13) (.f64 (+.f64 (fma.f64 -1/6 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 3) (.f64 (log.f64 13/2) 27/169)) -163/6591) (pow.f64 z 3)) (.f64 (sqrt.f64 2/13) (-.f64 (fma.f64 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) 27/169) (.f64 z z) 1) (*.f64 (-.f64 1/13 (log.f64 13/2)) z))))
(fma.f64 (sqrt.f64 2/13) (fma.f64 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) 27/169) (.f64 z z) 1) (.f64 (sqrt.f64 2/13) (+.f64 (.f64 z (+.f64 (log.f64 13/2) -1/13)) (.f64 (+.f64 (fma.f64 -1/6 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 3) (*.f64 (log.f64 13/2) 27/169)) -163/6591) (pow.f64 z 3)))))
(exp.f64 (.f64 -1 (.f64 (log.f64 (+.f64 13/2 z)) (-.f64 1/2 z))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (+.f64 13/2 z)) (-.f64 1/2 z))))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 13/2 z)))) (-.f64 1/2 z))
(pow.f64 (+.f64 13/2 z) (neg.f64 (-.f64 1/2 z)))
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))
(exp.f64 (.f64 -1 (.f64 (log.f64 (+.f64 13/2 z)) (-.f64 1/2 z))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (+.f64 13/2 z)) (-.f64 1/2 z))))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 13/2 z)))) (-.f64 1/2 z))
(pow.f64 (+.f64 13/2 z) (neg.f64 (-.f64 1/2 z)))
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))
(exp.f64 (.f64 -1 (.f64 (log.f64 (+.f64 13/2 z)) (-.f64 1/2 z))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (+.f64 13/2 z)) (-.f64 1/2 z))))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 13/2 z)))) (-.f64 1/2 z))
(pow.f64 (+.f64 13/2 z) (neg.f64 (-.f64 1/2 z)))
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))
(exp.f64 (.f64 -1 (.f64 (log.f64 (+.f64 13/2 z)) (-.f64 1/2 z))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (+.f64 13/2 z)) (-.f64 1/2 z))))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 13/2 z)))) (-.f64 1/2 z))
(pow.f64 (+.f64 13/2 z) (neg.f64 (-.f64 1/2 z)))
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))
(*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))
(+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))
(fma.f64 (.f64 -1 (+.f64 (.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (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 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 z (.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (neg.f64 (-.f64 1/13 (log.f64 13/2))) -1))))
(fma.f64 z (.f64 (exp.f64 -13/2) (.f64 (sqrt.f64 2/13) (+.f64 (.f64 (log.f64 13/2) 1) -14/13))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))
(fma.f64 z (.f64 (exp.f64 -13/2) (.f64 (sqrt.f64 2/13) (+.f64 (log.f64 13/2) -14/13))) (*.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 27/169 (.f64 1/2 (pow.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))))
(fma.f64 (.f64 z z) (fma.f64 1/2 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 2))) (fma.f64 -1 (log.f64 13/2) 1/13)))) (fma.f64 (.f64 -1 (+.f64 (.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (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 z z) (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 1/2 (+.f64 (-.f64 1/13 (log.f64 13/2)) (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) 27/169)))) (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 z (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (neg.f64 (-.f64 1/13 (log.f64 13/2))) -1)))))
(fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 z (+.f64 (.f64 (exp.f64 -13/2) (.f64 (sqrt.f64 2/13) (+.f64 (.f64 (log.f64 13/2) 1) -14/13))) (.f64 z (.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 1/2 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) (-.f64 40/169 (log.f64 13/2)))))))))
(fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 z (+.f64 (.f64 (exp.f64 -13/2) (.f64 (sqrt.f64 2/13) (+.f64 (log.f64 13/2) -14/13))) (.f64 z (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 1/2 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) (-.f64 40/169 (log.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 27/169 (.f64 1/2 (pow.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z) (+.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (.f64 (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 -27/169 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13)) (.f64 -1/6 (pow.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) 3))) 82/6591) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) (.f64 -1 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (+.f64 (.f64 -1 (log.f64 13/2)) 1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))))))) (pow.f64 z 3)))))
(fma.f64 (.f64 z z) (fma.f64 1/2 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 2))) (fma.f64 -1 (log.f64 13/2) 1/13)))) (fma.f64 (.f64 -1 (+.f64 (.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 (pow.f64 z 3) (fma.f64 -1/6 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (fma.f64 (+.f64 (fma.f64 -27/169 (fma.f64 -1 (log.f64 13/2) 1/13) (.f64 -1/6 (pow.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 3))) -82/6591) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (fma.f64 -1/2 (.f64 (fma.f64 -1 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (neg.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 13/2) 1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))))))))
(fma.f64 (.f64 z z) (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 1/2 (+.f64 (-.f64 1/13 (log.f64 13/2)) (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) 27/169)))) (fma.f64 z (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (neg.f64 (-.f64 1/13 (log.f64 13/2))) -1)) (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 (pow.f64 z 3) (+.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (.f64 (-.f64 1/13 (log.f64 13/2)) -1/2) (neg.f64 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) 27/169)))) (.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 -1/6 (fma.f64 (-.f64 1/13 (log.f64 13/2)) -27/169 (fma.f64 -1/6 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 3) -82/6591)))))))))
(fma.f64 z (.f64 (exp.f64 -13/2) (.f64 (sqrt.f64 2/13) (+.f64 (.f64 (log.f64 13/2) 1) -14/13))) (fma.f64 z (.f64 z (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 1/2 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) (-.f64 40/169 (log.f64 13/2)))))) (fma.f64 (pow.f64 z 3) (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (-.f64 (+.f64 (.f64 (log.f64 13/2) 1/2) -1/26) (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) 27/169)) (+.f64 -787/4394 (fma.f64 -1/6 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 3) (fma.f64 (log.f64 13/2) 27/169 -27/2197))))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))
(fma.f64 z (.f64 z (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 1/2 (fma.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2) (-.f64 40/169 (log.f64 13/2)))))) (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (fma.f64 (pow.f64 z 3) (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (fma.f64 (-.f64 1/13 (log.f64 13/2)) -1/2 (-.f64 -27/169 (.f64 1/2 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 2)))) (+.f64 -787/4394 (fma.f64 -1/6 (pow.f64 (-.f64 1/13 (log.f64 13/2)) 3) (fma.f64 (log.f64 13/2) 27/169 -27/2197))))) (.f64 z (.f64 (exp.f64 -13/2) (*.f64 (sqrt.f64 2/13) (+.f64 (log.f64 13/2) -14/13)))))))
(.f64 (exp.f64 (.f64 -1 (*.f64 (log.f64 (+.f64 13/2 z)) (-.f64 1/2 z)))) (exp.f64 (neg.f64 (+.f64 13/2 z))))
(exp.f64 (+.f64 (neg.f64 (*.f64 (log.f64 (+.f64 13/2 z)) (-.f64 1/2 z))) (+.f64 -13/2 (neg.f64 z))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (+.f64 13/2 z))) (-.f64 1/2 z) (-.f64 -13/2 z)))
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)))
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))
(.f64 (exp.f64 (.f64 -1 (*.f64 (log.f64 (+.f64 13/2 z)) (-.f64 1/2 z)))) (exp.f64 (neg.f64 (+.f64 13/2 z))))
(exp.f64 (+.f64 (neg.f64 (*.f64 (log.f64 (+.f64 13/2 z)) (-.f64 1/2 z))) (+.f64 -13/2 (neg.f64 z))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (+.f64 13/2 z))) (-.f64 1/2 z) (-.f64 -13/2 z)))
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)))
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))
(.f64 (exp.f64 (.f64 -1 (*.f64 (log.f64 (+.f64 13/2 z)) (-.f64 1/2 z)))) (exp.f64 (neg.f64 (+.f64 13/2 z))))
(exp.f64 (+.f64 (neg.f64 (*.f64 (log.f64 (+.f64 13/2 z)) (-.f64 1/2 z))) (+.f64 -13/2 (neg.f64 z))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (+.f64 13/2 z))) (-.f64 1/2 z) (-.f64 -13/2 z)))
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)))
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))
(.f64 (exp.f64 (.f64 -1 (*.f64 (log.f64 (+.f64 13/2 z)) (-.f64 1/2 z)))) (exp.f64 (neg.f64 (+.f64 13/2 z))))
(exp.f64 (+.f64 (neg.f64 (*.f64 (log.f64 (+.f64 13/2 z)) (-.f64 1/2 z))) (+.f64 -13/2 (neg.f64 z))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (+.f64 13/2 z))) (-.f64 1/2 z) (-.f64 -13/2 z)))
(/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)))
(*.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))
(exp.f64 -13/2)
(+.f64 (.f64 -1 (.f64 z (exp.f64 -13/2))) (exp.f64 -13/2))
(fma.f64 -1 (*.f64 z (exp.f64 -13/2)) (exp.f64 -13/2))
(-.f64 (exp.f64 -13/2) (*.f64 z (exp.f64 -13/2)))
(*.f64 (exp.f64 -13/2) (fma.f64 -1 z 1))
(*.f64 (exp.f64 -13/2) (-.f64 1 z))
(+.f64 (.f64 1/2 (.f64 (pow.f64 z 2) (exp.f64 -13/2))) (+.f64 (.f64 -1 (.f64 z (exp.f64 -13/2))) (exp.f64 -13/2)))
(fma.f64 1/2 (.f64 (.f64 z z) (exp.f64 -13/2)) (fma.f64 -1 (*.f64 z (exp.f64 -13/2)) (exp.f64 -13/2)))
(+.f64 (exp.f64 -13/2) (.f64 (exp.f64 -13/2) (+.f64 (.f64 1/2 (*.f64 z z)) (neg.f64 z))))
(fma.f64 (exp.f64 -13/2) (fma.f64 1/2 (*.f64 z z) (neg.f64 z)) (exp.f64 -13/2))
(fma.f64 (exp.f64 -13/2) (fma.f64 z (*.f64 z 1/2) (neg.f64 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 (pow.f64 z 3) (exp.f64 -13/2)) (fma.f64 1/2 (.f64 (.f64 z z) (exp.f64 -13/2)) (fma.f64 -1 (.f64 z (exp.f64 -13/2)) (exp.f64 -13/2))))
(+.f64 (-.f64 (exp.f64 -13/2) (.f64 z (exp.f64 -13/2))) (.f64 (exp.f64 -13/2) (+.f64 (.f64 -1/6 (pow.f64 z 3)) (.f64 1/2 (*.f64 z z)))))
(fma.f64 (exp.f64 -13/2) (.f64 (.f64 z z) (+.f64 (.f64 z -1/6) 1/2)) (.f64 (exp.f64 -13/2) (fma.f64 -1 z 1)))
(+.f64 (exp.f64 -13/2) (.f64 (exp.f64 -13/2) (-.f64 (.f64 (.f64 z z) (+.f64 (.f64 z -1/6) 1/2)) z)))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (+.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))

eval2.2s (10%)

Compiler: Compiled 91697 to 77563 computations (15.4% saved)

prune517.0ms (2.3%)

Pruning

137 alts after pruning (132 fresh and 5 done)

	Pruned	Kept	Total
New	832	57	889
Fresh	41	75	116
Picked	1	0	1
Done	3	5	8
Total	877	137	1014

Error

1.6b

Counts

1014 → 137

Alt Table

Click to see full alt table

Status	Error	Program
	5.0b	(.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (+.f64 z -1/2))) (pow.f64 (exp.f64 1) (+.f64 z 13/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))) (-.f64 z -1)) (.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) -3147848041806007/2500000000000)) (.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) (-.f64 z -1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	3.9b	(.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (.f64 -3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (.f64 (-.f64 z -1) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z))))) (*.f64 (-.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 (.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 1 (/.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))))
	4.6b	(exp.f64 (log.f64 (.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z 13/2))))))
	58.1b	(.f64 (sqrt.f64 2/13) (.f64 (+.f64 (/.f64 19279621695433005785362579/25000000000000000000000 z) -578716763873803901/10000000000000000) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
	3.6b	(.f64 (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.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))))
	4.2b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (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))))
	56.0b	(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) 172075220870680916925232387/525000000000000000000000) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))))
	13.7b	(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) 3) (pow.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) 3)) 1/3) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.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))))
	4.2b	(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -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 z (.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) 6765203681218851/10000000000000)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	60.2b	(.f64 (sqrt.f64 2/13) (.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 13/2)) (-.f64 1 z)))))
	3.8b	(.f64 (.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 1 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (.f64 (+.f64 z 1) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z))))) (*.f64 (+.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))))
	3.9b	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.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 (exp.f64 z) (exp.f64 13/2)))))
	58.1b	(.f64 (sqrt.f64 2/13) (.f64 (-.f64 (.f64 19279621695433005785362579/25000000000000000000000 (/.f64 1 z)) 578716763873803901/10000000000000000) (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
	4.3b	(.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (/.f64 (sqrt.f64 2) (exp.f64 (+.f64 13/2 z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))) (-.f64 z -1)) (.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) -3147848041806007/2500000000000)) (.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) (-.f64 z -1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	3.7b	(.f64 (.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2))))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.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))))
	4.9b	(.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (+.f64 z -1/2))) (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z 13/2))) (sqrt.f64 (+.f64 z 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))) (-.f64 z -1)) (.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) -3147848041806007/2500000000000)) (.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) (-.f64 z -1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	3.5b	(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.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))))
	4.2b	(.f64 (.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 1 (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)))) 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))))
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	5.0b	(.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))) (/.f64 1 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z 13/2))) (sqrt.f64 (+.f64 z 13/2))))) (+.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 z (.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) 6765203681218851/10000000000000)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) 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))))
	3.7b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) 3) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	3.6b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (/.f64 1 (exp.f64 (+.f64 (+.f64 z -1) 15/2)))) (+.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))))
	34.7b	(.f64 (log.f64 (exp.f64 (.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))) (-.f64 z -1)) (.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) -3147848041806007/2500000000000)) (.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) (-.f64 z -1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	3.6b	(.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	3.9b	(.f64 (.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z))))) (.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 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))))
	3.7b	(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) 3) (+.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))))
	3.7b	(.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (fma.f64 6765203681218851/10000000000000 (/.f64 1 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	4.2b	(.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 (exp.f64 (+.f64 z 13/2)) (sqrt.f64 (.f64 (PI.f64) 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 z (.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) 6765203681218851/10000000000000)) (*.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) 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))))
	3.9b	(.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z))))) (.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 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))))
✓	53.1b	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
	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))) (/.f64 1 (exp.f64 (+.f64 (+.f64 z -1) 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (.f64 z 10000000000000/6765203681218851) (+.f64 z 1)) (.f64 (+.f64 z 1) (.f64 z 10000000000000/6765203681218851))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (-.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 z (.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) 6765203681218851/10000000000000)) (.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) 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))))
	55.2b	(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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 (exp.f64 13/2) (+.f64 (+.f64 z 1) (.f64 1/2 (.f64 z z)))))))
	3.6b	(.f64 (.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.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))))
	4.2b	(.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (+.f64 z -1/2))) (pow.f64 (sqrt.f64 (exp.f64 (+.f64 z 13/2))) 2)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))) (-.f64 z -1)) (.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) -3147848041806007/2500000000000)) (.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) (-.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))))

Compiler

Compiled 12706 to 10912 computations (14.1% saved)

regimes2.6s (11.9%)

Counts

225 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 2/13) (.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 (/.f64 19279621695433005785362579/25000000000000000000000 z) -578716763873803901/10000000000000000) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 2/13) (.f64 (-.f64 (.f64 19279621695433005785362579/25000000000000000000000 (/.f64 1 z)) 578716763873803901/10000000000000000) (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
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Outputs

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

Calls

5 calls:

417.0ms	(-.f64 z 1)
290.0ms	(.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	z
231.0ms	(.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))))
163.0ms	(-.f64 z 1)

Results

Error	Segments	Branch
3.5b	1	`z`
3.5b	1	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
3.5b	1	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
3.5b	1	`(-.f64 z 1)`
3.5b	1	`(-.f64 z 1)`

Compiler

Compiled 21774 to 18489 computations (15.1% saved)

regimes51.0ms (0.2%)

Counts

21 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 2/13) (.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 (/.f64 19279621695433005785362579/25000000000000000000000 z) -578716763873803901/10000000000000000) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 2/13) (.f64 (-.f64 (.f64 19279621695433005785362579/25000000000000000000000 (/.f64 1 z)) 578716763873803901/10000000000000000) (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 13/2))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 13/2))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 13/2))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -114022301064366159/200000000000000 z))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (-.f64 9999999999998099/10000000000000000 (.f64 114022301064366159/200000000000000 (/.f64 1 z)))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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 (exp.f64 13/2) (+.f64 (+.f64 z 1) (.f64 1/2 (.f64 z z)))))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (-.f64 (+.f64 (.f64 4026744024855951579/3200000000000000 z) (.f64 6765203681218851/10000000000000 (/.f64 1 z))) 25100247618054625277/20000000000000000)) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 60455492180382759/50000000000000 (.f64 z z)) (/.f64 -114022301064366159/200000000000000 z)))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.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 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 (exp.f64 (+.f64 z 13/2)) (sqrt.f64 (.f64 (PI.f64) 2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.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 z 13/2) (+.f64 z -1/2))) (exp.f64 (+.f64 z 13/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.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 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.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))))

Calls

1 calls:

18.0ms

Results

Error	Segments	Branch
3.5b	1	`z`

Compiler

Compiled 1066 to 882 computations (17.3% saved)

regimes61.0ms (0.3%)

Counts

18 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 2/13) (.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 (/.f64 19279621695433005785362579/25000000000000000000000 z) -578716763873803901/10000000000000000) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 2/13) (.f64 (-.f64 (.f64 19279621695433005785362579/25000000000000000000000 (/.f64 1 z)) 578716763873803901/10000000000000000) (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 13/2))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 13/2))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 13/2))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -114022301064366159/200000000000000 z))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (-.f64 9999999999998099/10000000000000000 (.f64 114022301064366159/200000000000000 (/.f64 1 z)))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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 (exp.f64 13/2) (+.f64 (+.f64 z 1) (.f64 1/2 (.f64 z z)))))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (-.f64 (+.f64 (.f64 4026744024855951579/3200000000000000 z) (.f64 6765203681218851/10000000000000 (/.f64 1 z))) 25100247618054625277/20000000000000000)) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 60455492180382759/50000000000000 (.f64 z z)) (/.f64 -114022301064366159/200000000000000 z)))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))

Outputs

(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (*.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
3.8b	1	`z`

Compiler

Compiled 829 to 681 computations (17.9% saved)

regimes57.0ms (0.3%)

Counts

17 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 2/13) (.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 (/.f64 19279621695433005785362579/25000000000000000000000 z) -578716763873803901/10000000000000000) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 2/13) (.f64 (-.f64 (.f64 19279621695433005785362579/25000000000000000000000 (/.f64 1 z)) 578716763873803901/10000000000000000) (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 13/2))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 13/2))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 13/2))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -114022301064366159/200000000000000 z))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (-.f64 9999999999998099/10000000000000000 (.f64 114022301064366159/200000000000000 (/.f64 1 z)))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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 (exp.f64 13/2) (+.f64 (+.f64 z 1) (.f64 1/2 (.f64 z z)))))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (-.f64 (+.f64 (.f64 4026744024855951579/3200000000000000 z) (.f64 6765203681218851/10000000000000 (/.f64 1 z))) 25100247618054625277/20000000000000000)) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 60455492180382759/50000000000000 (.f64 z z)) (/.f64 -114022301064366159/200000000000000 z)))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))

Outputs

(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
3.8b	1	`z`

Compiler

Compiled 762 to 626 computations (17.8% saved)

regimes33.0ms (0.1%)

Counts

16 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 2/13) (.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 (/.f64 19279621695433005785362579/25000000000000000000000 z) -578716763873803901/10000000000000000) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 2/13) (.f64 (-.f64 (.f64 19279621695433005785362579/25000000000000000000000 (/.f64 1 z)) 578716763873803901/10000000000000000) (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 13/2))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 13/2))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 13/2))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -114022301064366159/200000000000000 z))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (-.f64 9999999999998099/10000000000000000 (.f64 114022301064366159/200000000000000 (/.f64 1 z)))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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 (exp.f64 13/2) (+.f64 (+.f64 z 1) (.f64 1/2 (.f64 z z)))))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (-.f64 (+.f64 (.f64 4026744024855951579/3200000000000000 z) (.f64 6765203681218851/10000000000000 (/.f64 1 z))) 25100247618054625277/20000000000000000)) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 60455492180382759/50000000000000 (.f64 z z)) (/.f64 -114022301064366159/200000000000000 z)))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))

Outputs

(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 60455492180382759/50000000000000 (*.f64 z z)) (/.f64 -114022301064366159/200000000000000 z)))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
49.5b	1	`z`

Compiler

Compiled 697 to 573 computations (17.8% saved)

regimes27.0ms (0.1%)

Counts

15 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 2/13) (.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 (/.f64 19279621695433005785362579/25000000000000000000000 z) -578716763873803901/10000000000000000) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 2/13) (.f64 (-.f64 (.f64 19279621695433005785362579/25000000000000000000000 (/.f64 1 z)) 578716763873803901/10000000000000000) (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 13/2))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 13/2))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 13/2))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -114022301064366159/200000000000000 z))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (-.f64 9999999999998099/10000000000000000 (.f64 114022301064366159/200000000000000 (/.f64 1 z)))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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 (exp.f64 13/2) (+.f64 (+.f64 z 1) (.f64 1/2 (.f64 z z)))))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (-.f64 (+.f64 (.f64 4026744024855951579/3200000000000000 z) (.f64 6765203681218851/10000000000000 (/.f64 1 z))) 25100247618054625277/20000000000000000)) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))

Outputs

(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
53.1b	1	`z`

Compiler

Compiled 638 to 527 computations (17.4% saved)

regimes24.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 2/13) (.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 (/.f64 19279621695433005785362579/25000000000000000000000 z) -578716763873803901/10000000000000000) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 2/13) (.f64 (-.f64 (.f64 19279621695433005785362579/25000000000000000000000 (/.f64 1 z)) 578716763873803901/10000000000000000) (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 13/2))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 13/2))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 13/2))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))

Outputs

(*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 13/2))))

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
55.7b	1	`z`

Compiler

Compiled 314 to 265 computations (15.6% saved)

regimes15.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 2/13) (.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 (/.f64 19279621695433005785362579/25000000000000000000000 z) -578716763873803901/10000000000000000) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 2/13) (.f64 (-.f64 (.f64 19279621695433005785362579/25000000000000000000000 (/.f64 1 z)) 578716763873803901/10000000000000000) (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 13/2))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 13/2))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))

Outputs

(*.f64 (sqrt.f64 2/13) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 13/2))))

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
56.4b	1	`z`

Compiler

Compiled 219 to 187 computations (14.6% saved)

regimes10.0ms (0%)

Accuracy

Total -1.8b remaining (-3.1%)

Threshold costs -1.8b (-3.1%)

Counts

5 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 2/13) (.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 (/.f64 19279621695433005785362579/25000000000000000000000 z) -578716763873803901/10000000000000000) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 2/13) (.f64 (-.f64 (.f64 19279621695433005785362579/25000000000000000000000 (/.f64 1 z)) 578716763873803901/10000000000000000) (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 13/2))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))

Outputs
(.f64 (sqrt.f64 2/13) (.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
57.0b	1	`z`

Compiler

Compiled 133 to 114 computations (14.3% saved)

simplify31.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

45×	`+-commutative_binary64`
19×	`*-commutative_binary64`
3×	`sub-neg_binary64`
2×	`*-lft-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	757
1	197	757
2	198	757

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.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 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.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 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 60455492180382759/50000000000000 (.f64 z z)) (/.f64 -114022301064366159/200000000000000 z)))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 13/2))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 13/2))))
(.f64 (sqrt.f64 2/13) (.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))

Outputs
(.f64 (.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.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)) (exp.f64 (+.f64 z 13/2))) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.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 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.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 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 (+.f64 z -1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (+.f64 z -1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (+.f64 z -1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (+.f64 z -1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (+.f64 z -1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (+.f64 z -1) 8))) (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (exp.f64 (+.f64 z 13/2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 6765203681218851/10000000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))))))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 60455492180382759/50000000000000 (.f64 z z)) (/.f64 -114022301064366159/200000000000000 z)))) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 60455492180382759/50000000000000 (.f64 z z)) (/.f64 -114022301064366159/200000000000000 z))))))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 13/2))))
(.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))))
(.f64 (sqrt.f64 2/13) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.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)) (exp.f64 13/2))))
(.f64 (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 13/2))) (sqrt.f64 2/13))
(.f64 (sqrt.f64 2/13) (.f64 172075220870680916925232387/525000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 2/13) (.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z 13/2))) 172075220870680916925232387/525000000000000000000000))

end319.0ms (1.4%)

Stop Event

1×

fuel

Compiler

Compiled 1000 to 840 computations (16% saved)