Details

analyze17.0ms (0.2%)

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)

sample3.8s (54.7%)

Results

3.0s	8034×	body	64	valid
713.0ms	1615×	body	64	invalid
148.0ms	222×	body	128	valid

preprocess44.0ms (0.6%)

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 95 to 84 computations (11.6% saved)

simplify30.0ms (0.4%)

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)))))

prune10.0ms (0.1%)

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

3.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	3.4b	(.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	(.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)))))

Status

Error

Program

▶

3.4b

(*.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

(*.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 482 to 415 computations (13.9% saved)

localize45.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2)))
✓	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.0b	(exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))
✓	1.5b	(.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 (0.1%)

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 (0.9%)

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

simplify71.0ms (1%)

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)))

prune421.0ms (6%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	129	19	148
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	130	20	150

Error

2.0b

Counts

150 → 20

Alt Table

Status	Error	Program
	4.6b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (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))))
	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 1 (/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 z -1) 3))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	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))) (pow.f64 (exp.f64 -1) (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	4.9b	(.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))))
	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 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	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 (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 z -1) 3)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3)) (+.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) 2) (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	3.4b	(.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 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	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) 3)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	4.1b	(.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))))
	3.5b	(.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	55.1b	(.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 (+.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 (.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 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (sqrt.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))))
	3.9b	(.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 (pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.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))))
▶	3.4b	(.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))))
	3.5b	(.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))))
	3.7b	(.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 (.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))))
	3.6b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.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))))
	4.0b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (.f64 -3147848041806007/2500000000000 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000)))) (.f64 (-.f64 z -1) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (.f64 (-.f64 z -1) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	3.8b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) (.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	3.5b	(.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 (+.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 18832 to 16394 computations (12.9% saved)

localize53.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.9b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.0b	(exp.f64 (neg.f64 (+.f64 z 6)))
✓	1.5b	(.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)))

series8.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	z	@	inf	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 z 6))) (exp.f64 -1/2)))
2.0ms	z	@	0	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 z 6))) (exp.f64 -1/2)))
2.0ms	z	@	-inf	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 z 6))) (exp.f64 -1/2)))
0.0ms	z	@	0	(exp.f64 (neg.f64 (+.f64 z 6)))
0.0ms	z	@	inf	(exp.f64 (neg.f64 (+.f64 z 6)))

rewrite75.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	43
1	523	33
2	6756	33

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 z 6))) (exp.f64 -1/2)))
(exp.f64 (neg.f64 (+.f64 z 6)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 z -11/2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 z -11/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 z -11/2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 z -11/2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 z -11/2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 z -11/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (sqrt.f64 (.f64 (PI.f64) 2))) (exp.f64 (-.f64 z -11/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 z -11/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 z -11/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 3) (pow.f64 (exp.f64 (-.f64 z -11/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (exp.f64 (-.f64 z -11/2)) 3) (pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) (-.f64 z -11/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (+.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)))) (-.f64 z -11/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 z -11/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 z -11/2))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 z 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (exp.f64 (+.f64 z 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (+.f64 z 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 7) (exp.f64 (+.f64 z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 z) (exp.f64 6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (+.f64 z -1)) (exp.f64 7))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 6) (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (exp.f64 (+.f64 z 6))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z 6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z 6))) 2) (cbrt.f64 (exp.f64 (+.f64 z 6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (exp.f64 (+.f64 z 6))) (sqrt.f64 (exp.f64 (+.f64 z 6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (neg.f64 z)) (exp.f64 -6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (exp.f64 (+.f64 z 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 (+.f64 z 6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 z) (exp.f64 -6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (exp.f64 (+.f64 z 6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 z 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 z 6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (+.f64 z 6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (+.f64 z 6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 z 6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (+.f64 z 6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (+.f64 z 6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z 6)) 2)) (cbrt.f64 (+.f64 z 6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (+.f64 z 6))) (sqrt.f64 (+.f64 z 6)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (+.f64 z 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (+.f64 z 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 z 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (+.f64 z 6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (+.f64 z 6))))))))

Outputs

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

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

simplify52.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

827×	`fma-def_binary64`
469×	`fma-neg_binary64`
424×	`*-commutative_binary64`
389×	`distribute-rgt-in_binary64`
387×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	966
1	343	779
2	1384	680
3	5915	676

Stop Event

1×	node limit

Counts

69 → 66

Calls

Call 1

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

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

prune476.0ms (6.8%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	137	14	151
Fresh	7	12	19
Picked	1	0	1
Done	0	0	0
Total	145	26	171

Error

1.9b

Counts

171 → 26

Alt Table

Status	Error	Program
	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 (exp.f64 (neg.f64 (+.f64 z 6))) (exp.f64 -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 z -1) 3))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	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 (.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))))
▶	3.4b	(.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 (pow.f64 (exp.f64 (+.f64 z 6)) -1) (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))))
	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 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	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 (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 z -1) 3)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3)) (+.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) 2) (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	3.4b	(.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 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	4.1b	(.f64 (.f64 (.f64 (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))))
	3.5b	(.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	55.1b	(.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 (+.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	(.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 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) 3)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (*.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	3.7b	(.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 (.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))))
	3.5b	(.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 (.f64 (exp.f64 (neg.f64 z)) (exp.f64 -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))))
	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 (fma.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (sqrt.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))))
	4.0b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (.f64 -3147848041806007/2500000000000 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000)))) (.f64 (-.f64 z -1) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (.f64 (-.f64 z -1) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	3.5b	(.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 (+.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)))))
	3.9b	(.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))) (.f64 (exp.f64 (neg.f64 (+.f64 z 6))) (exp.f64 -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) 2) (cbrt.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))))
	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 (exp.f64 (neg.f64 (+.f64 z 6))) (exp.f64 -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))))
	3.4b	(.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 6 z))) (*.f64 (exp.f64 -1/2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))))) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	3.8b	(.f64 (.f64 (.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 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) (.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	3.6b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (sqrt.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))))
	4.1b	(.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 (pow.f64 (exp.f64 -1) (+.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))))
	4.9b	(.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (*.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	4.6b	(.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 (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))))
	4.1b	(.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))) (*.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))))
	3.8b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) (.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	3.4b	(.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 -1/2 z)) (.f64 (sqrt.f64 2) (exp.f64 (-.f64 -13/2 z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))

Compiler

Compiled 20353 to 17718 computations (12.9% saved)

localize52.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.9b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.0b	(exp.f64 (+.f64 z 6))
✓	1.5b	(.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 (pow.f64 (exp.f64 (+.f64 z 6)) -1) (exp.f64 -1/2)))

series9.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	z	@	-inf	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (.f64 (pow.f64 (exp.f64 (+.f64 z 6)) -1) (exp.f64 -1/2)))
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))) (.f64 (pow.f64 (exp.f64 (+.f64 z 6)) -1) (exp.f64 -1/2)))
2.0ms	z	@	inf	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (.f64 (pow.f64 (exp.f64 (+.f64 z 6)) -1) (exp.f64 -1/2)))
0.0ms	z	@	0	(exp.f64 (+.f64 z 6))
0.0ms	z	@	inf	(exp.f64 (+.f64 z 6))

rewrite74.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

420×	`log1p-udef_binary64`
367×	`prod-diff_binary64`
262×	`add-sqr-sqrt_binary64`
249×	`pow1_binary64`
247×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	44
1	536	38
2	6734	38

Stop Event

1×	node limit

Counts

2 → 39

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

Outputs

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

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

simplify52.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

811×	`cancel-sign-sub-inv_binary64`
626×	`fma-neg_binary64`
438×	`times-frac_binary64`
406×	`fma-def_binary64`
369×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	104	1105
1	318	1063
2	1104	892
3	5562	876

Stop Event

1×	node limit

Counts

63 → 59

Calls

Call 1

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

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

prune494.0ms (7.1%)

Pruning

31 alts after pruning (31 fresh and 0 done)

	Pruned	Kept	Total
New	125	19	144
Fresh	13	12	25
Picked	1	0	1
Done	0	0	0
Total	139	31	170

Error

1.7b

Counts

170 → 31

Alt Table

Status	Error	Program
	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 (pow.f64 (exp.f64 (+.f64 z 6)) -1) (exp.f64 -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 z -1) 3))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	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 (pow.f64 (exp.f64 -1) (+.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))))
	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 (pow.f64 (exp.f64 (+.f64 z 6)) -1) (exp.f64 -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) 3)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (*.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	3.6b	(.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 (.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))))
▶	3.4b	(.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 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z 6)) 3)) -1) (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))))
	3.4b	(.f64 (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 (exp.f64 -1/2) (exp.f64 (+.f64 z 6)))))) 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))))
	3.4b	(.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 (pow.f64 (.f64 (exp.f64 z) (exp.f64 6)) -1) (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))))
	3.6b	(.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 (exp.f64 -1/2) (exp.f64 (+.f64 z 6)))))) 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))))
	3.5b	(.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 (pow.f64 (.f64 (exp.f64 7) (exp.f64 (+.f64 z -1))) -1) (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))))
	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 (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 z -1) 3)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3)) (+.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) 2) (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	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 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	12.0b	(.f64 (pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 (exp.f64 -1/2) (exp.f64 (+.f64 z 6))))) 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))))
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	3.4b	(.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 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 z 6))) 2) -1) (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))))
	4.6b	(.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 (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))))
	4.1b	(.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))) (*.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))))
	3.8b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (.f64 (pow.f64 (exp.f64 (+.f64 z 6)) -1) (exp.f64 -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) (.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	13.3b	(.f64 (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 (/.f64 (exp.f64 -1/2) (exp.f64 (+.f64 z 6))) 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 21262 to 18620 computations (12.4% saved)

localize51.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.9b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.0b	(exp.f64 (+.f64 z 6))
✓	1.5b	(.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 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z 6)) 3)) -1) (exp.f64 -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)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z 6)) 3)) -1) (exp.f64 -1/2)))

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 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z 6)) 3)) -1) (exp.f64 -1/2)))

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 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z 6)) 3)) -1) (exp.f64 -1/2)))

rewrite68.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

367×	`prod-diff_binary64`
281×	`add-sqr-sqrt_binary64`
266×	`add-log-exp_binary64`
266×	`pow1_binary64`
264×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	38
1	605	32
2	7225	32

Stop Event

1×	node limit

Counts

1 → 15

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 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z 6)) 3)) -1) (exp.f64 -1/2)))

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

simplify50.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

811×	`cancel-sign-sub-inv_binary64`
618×	`fma-neg_binary64`
438×	`times-frac_binary64`
320×	`associate-l_binary64`
309×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	985
1	287	945
2	1003	784
3	5121	768

Stop Event

1×	node limit

Counts

27 → 26

Calls

Call 1

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

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

prune422.0ms (6%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	135	9	144
Fresh	9	21	30
Picked	1	0	1
Done	0	0	0
Total	145	30	175

Error

1.6b

Counts

175 → 30

Alt Table

Status	Error	Program
	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 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z 6)) 3)) -1) (exp.f64 -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))))
	3.5b	(.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 (pow.f64 (exp.f64 (+.f64 z 6)) -1) (exp.f64 -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 z -1) 3))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	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 (pow.f64 (exp.f64 -1) (+.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))))
	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 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z 6)) 3)) -1) (exp.f64 -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 z -1) 3))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	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 (pow.f64 (cbrt.f64 (pow.f64 (.f64 (cbrt.f64 (exp.f64 (+.f64 z 6))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z 6))) 2)) 3)) -1) (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))))
	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 (pow.f64 (exp.f64 (+.f64 z 6)) -1) (exp.f64 -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) 3)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (*.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	3.6b	(.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 (.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))))
	3.4b	(.f64 (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 (exp.f64 -1/2) (exp.f64 (+.f64 z 6)))))) 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))))
	3.4b	(.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 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z 6)) 3)) -1) (exp.f64 -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 z -1) 3)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3)) (+.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) 2) (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	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 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
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	4.1b	(.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))) (*.f64 (pow.f64 (exp.f64 (+.f64 z 6)) -1) (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))))
	4.1b	(.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))) (*.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))))
	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))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (sqrt.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 18238 to 15989 computations (12.3% saved)

regimes462.0ms (6.6%)

Accuracy

Total -52.2b remaining (-1551.9%)

Threshold costs -52.2b (-1551.9%)

Counts

63 → 1

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))) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z 6)) 3)) -1) (exp.f64 -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))))
(.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 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z 6)) 3)) -1) (exp.f64 -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 z -1) 3))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(.f64 (.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 (pow.f64 (cbrt.f64 (pow.f64 (.f64 (cbrt.f64 (exp.f64 (+.f64 z 6))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z 6))) 2)) 3)) -1) (exp.f64 -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z 6)) 3)) -1) (exp.f64 -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 z -1) 3)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3)) (+.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) 2) (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(.f64 (.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 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 z 6))) 2) 3)) -1) (exp.f64 -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z 6)) 2)) (cbrt.f64 (+.f64 z 6))) 3)) -1) (exp.f64 -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z 6)) 3)) -1) (exp.f64 -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) (.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 (exp.f64 -1/2) (exp.f64 (+.f64 z 6)))))) 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))))
(.f64 (pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 (exp.f64 -1/2) (exp.f64 (+.f64 z 6))))) 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))))
(.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 (pow.f64 (exp.f64 (+.f64 z 6)) -1) (exp.f64 -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 z -1) 3))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(.f64 (.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 (pow.f64 (exp.f64 (+.f64 z 6)) -1) (exp.f64 -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) 3)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) (*.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
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(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) (.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (.f64 (-.f64 (/.f64 z -3147848041806007/2500000000000) 2500000000000/3147848041806007) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(.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 (.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))) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z 6)) 3)) -1) (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))))

Results

79.0ms	3.4b	`z`
93.0ms	3.4b	(.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))))
31.0ms	3.4b	`(-.f64 z 1)`
36.0ms	3.4b	`(-.f64 z 1)`

Compiler

Compiled 6830 to 5941 computations (13% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative_binary64`
5×	`*-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	148
1	91	148
2	92	148

Stop Event

1×

saturated

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))) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z 6)) 3)) -1) (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))))

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

(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (+.f64 z -1) 7) 1/2) (+.f64 (+.f64 z -1) 1/2))) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z 6)) 3)) -1) (exp.f64 -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 1 (+.f64 z -1)))) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (+.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))))

end65.0ms (0.9%)

Stop Event

1×

fuel

Compiler

Compiled 196 to 174 computations (11.2% saved)

Details

analyze17.0ms (0.2%)

sample3.8s (54.7%)

preprocess44.0ms (0.6%)

simplify30.0ms (0.4%)

prune10.0ms (0.1%)

localize45.0ms (0.6%)

series9.0ms (0.1%)

rewrite60.0ms (0.9%)

simplify71.0ms (1%)

prune421.0ms (6%)

localize53.0ms (0.8%)

series8.0ms (0.1%)

rewrite75.0ms (1.1%)

simplify52.0ms (0.7%)

prune476.0ms (6.8%)

localize52.0ms (0.7%)

series9.0ms (0.1%)

rewrite74.0ms (1.1%)

simplify52.0ms (0.7%)

prune494.0ms (7.1%)

localize51.0ms (0.7%)

series2.0ms (0%)

rewrite68.0ms (1%)

simplify50.0ms (0.7%)

prune422.0ms (6%)

regimes462.0ms (6.6%)

simplify4.0ms (0.1%)

end65.0ms (0.9%)

Profiling