Details

analyze21.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 98 to 86 computations (12.2% saved)

sample4.7s (13.8%)

Results

3.9s	8256×	body	256	valid
796.0ms	1715×	body	256	invalid

preprocess62.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs

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

Outputs
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (-.f64 z 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 z -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 z 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 z -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 z -7)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))))) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))

Compiler

Compiled 96 to 85 computations (11.5% saved)

simplify42.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

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

Outputs
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (-.f64 z 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 z -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 z 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 z -2)) (/.f64 -883075145810703/5000000000000 (-.f64 z -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 z -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 z -7)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (neg.f64 (+.f64 z 13/2)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 -883075145810703/5000000000000 (+.f64 z 3))) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))) (/.f64 2501468655737381/200000000000000 (+.f64 z 4)))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))))) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))

eval3.0ms (0%)

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

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

4.3b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	4.4b	(.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))))
▶	4.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))

Status

Error

Program

▶

4.4b

(*.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))))

▶

4.4b

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

Compiler

Compiled 161 to 139 computations (13.7% saved)

localize161.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))
✓	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.1b	(exp.f64 (+.f64 z 13/2))
✓	2.4b	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))

Compiler

Compiled 401 to 324 computations (19.2% saved)

series8.0ms (0%)

Counts

4 → 36

Calls

9 calls:

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

rewrite93.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	56
1	627	56

Stop Event

1×	node limit

Counts

4 → 125

Calls

Call 1

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

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

simplify80.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

161 → 158

Calls

Call 1

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

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

localize315.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.1b	(exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))
✓	2.4b	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2))))

Compiler

Compiled 605 to 524 computations (13.4% saved)

series8.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite72.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	65
1	654	58

Stop Event

1×	node limit

Counts

3 → 90

Calls

Call 1

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

Inputs

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

(exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))

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

Outputs
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Outputs

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simplify74.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

126 → 125

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64)))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/2 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))))))) (pow.f64 z 3))) (sqrt.f64 (PI.f64))))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64)))
(exp.f64 -13/2)
(+.f64 (.f64 -1 (.f64 z (exp.f64 -13/2))) (exp.f64 -13/2))
(+.f64 (.f64 1/2 (.f64 (pow.f64 z 2) (exp.f64 -13/2))) (+.f64 (.f64 -1 (.f64 z (exp.f64 -13/2))) (exp.f64 -13/2)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 z 3) (exp.f64 -13/2))) (+.f64 (.f64 1/2 (.f64 (pow.f64 z 2) (exp.f64 -13/2))) (+.f64 (.f64 -1 (.f64 z (exp.f64 -13/2))) (exp.f64 -13/2))))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 12581392167224029901/10000000000000000)
(-.f64 (+.f64 (.f64 3147848041806007/2500000000000 z) (.f64 6765203681218851/10000000000000 (/.f64 1 z))) 12581392167224029901/10000000000000000)
(-.f64 (+.f64 (.f64 3147848041806007/2500000000000 z) (+.f64 (.f64 -3147848041806007/2500000000000 (pow.f64 z 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 12581392167224029901/10000000000000000)
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))

Outputs
(.f64 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 2) (.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2/13) (*.f64 (exp.f64 -13/2) (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 2/13) (.f64 (*.f64 (sqrt.f64 2) (exp.f64 -13/2)) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 (sqrt.f64 2) (.f64 (.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) z))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (+.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (.f64 (+.f64 (log.f64 13/2) -14/13) z)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (*.f64 z (+.f64 (log.f64 13/2) -14/13)))))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64)))))
(fma.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 1/2 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (fma.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (neg.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (log.f64 13/2) -1/13))))) (.f64 z z))) (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 (sqrt.f64 2) (.f64 (.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) z)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (.f64 (+.f64 (log.f64 13/2) -14/13) z)))) (.f64 (sqrt.f64 2) (.f64 z (.f64 z (-.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 1/2 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169))) (.f64 (sqrt.f64 2/13) (*.f64 (exp.f64 -13/2) (+.f64 (log.f64 13/2) -1/13)))))))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (+.f64 (.f64 z (.f64 z (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (-.f64 (+.f64 223/338 (.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (+.f64 (log.f64 13/2) -1/13))))) (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (.f64 z (+.f64 (log.f64 13/2) -14/13))))))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) z)) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/2 (.f64 (-.f64 (log.f64 13/2) 1/13) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (.f64 -1 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))))))) (pow.f64 z 3))) (sqrt.f64 (PI.f64))))))
(fma.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 1/2 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (fma.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (neg.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (log.f64 13/2) -1/13))))) (.f64 z z))) (sqrt.f64 (PI.f64)) (fma.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (log.f64 13/2) -1/13) -1)) z)) (.f64 (sqrt.f64 2) (.f64 (fma.f64 1/2 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (log.f64 13/2) -1/13)) (fma.f64 (+.f64 (fma.f64 27/169 (+.f64 (log.f64 13/2) -1/13) (.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3))) -82/6591) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (fma.f64 -1/6 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (neg.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 27/169 (*.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2)))))))) (pow.f64 z 3)))))))
(fma.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 1/2 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169))) (.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (+.f64 (log.f64 13/2) -1/13)))) (.f64 (.f64 z z) (sqrt.f64 (PI.f64)))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (.f64 (+.f64 (log.f64 13/2) -14/13) z)))) (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 -1/6 (neg.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169)))) (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (.f64 (log.f64 13/2) 1/2) -1/26) (fma.f64 (+.f64 (log.f64 13/2) -1/13) 27/169 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) -82/6591))))) (pow.f64 z 3))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 z (.f64 z (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (-.f64 (+.f64 223/338 (.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2))) (+.f64 (log.f64 13/2) -1/13)))))) (.f64 (sqrt.f64 2) (+.f64 (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (.f64 z (+.f64 (log.f64 13/2) -14/13))))) (.f64 (.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 (+.f64 (.f64 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) -1/2) -331/1014) (+.f64 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) (+.f64 (.f64 (log.f64 13/2) 27/169) -163/6591)) (fma.f64 (log.f64 13/2) 1/2 -1/26)))) (pow.f64 z 3))))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (exp.f64 (+.f64 -13/2 (neg.f64 z)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z)))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (exp.f64 (+.f64 -13/2 (neg.f64 z)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z)))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (exp.f64 (+.f64 -13/2 (neg.f64 z)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z)))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (exp.f64 (+.f64 -13/2 (neg.f64 z)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z)))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (exp.f64 (+.f64 -13/2 (neg.f64 z)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z)))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (exp.f64 (+.f64 -13/2 (neg.f64 z)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z)))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (exp.f64 (+.f64 -13/2 (neg.f64 z)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z)))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 (.f64 -1 z) 13/2)))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))) (exp.f64 (+.f64 -13/2 (neg.f64 z)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 (-.f64 -13/2 z)) (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (+.f64 13/2 z) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z)))))
(exp.f64 -13/2)
(+.f64 (.f64 -1 (.f64 z (exp.f64 -13/2))) (exp.f64 -13/2))
(fma.f64 -1 (*.f64 (exp.f64 -13/2) z) (exp.f64 -13/2))
(-.f64 (exp.f64 -13/2) (*.f64 (exp.f64 -13/2) z))
(*.f64 (exp.f64 -13/2) (fma.f64 -1 z 1))
(+.f64 (.f64 1/2 (.f64 (pow.f64 z 2) (exp.f64 -13/2))) (+.f64 (.f64 -1 (.f64 z (exp.f64 -13/2))) (exp.f64 -13/2)))
(fma.f64 1/2 (.f64 (exp.f64 -13/2) (.f64 z z)) (fma.f64 -1 (*.f64 (exp.f64 -13/2) z) (exp.f64 -13/2)))
(+.f64 (exp.f64 -13/2) (.f64 (exp.f64 -13/2) (+.f64 (.f64 1/2 (*.f64 z z)) (neg.f64 z))))
(fma.f64 (exp.f64 -13/2) (-.f64 (.f64 z (.f64 z 1/2)) z) (exp.f64 -13/2))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 z 3) (exp.f64 -13/2))) (+.f64 (.f64 1/2 (.f64 (pow.f64 z 2) (exp.f64 -13/2))) (+.f64 (.f64 -1 (.f64 z (exp.f64 -13/2))) (exp.f64 -13/2))))
(fma.f64 -1/6 (.f64 (exp.f64 -13/2) (pow.f64 z 3)) (fma.f64 1/2 (.f64 (exp.f64 -13/2) (.f64 z z)) (fma.f64 -1 (.f64 (exp.f64 -13/2) z) (exp.f64 -13/2))))
(+.f64 (-.f64 (exp.f64 -13/2) (.f64 (exp.f64 -13/2) z)) (.f64 (exp.f64 -13/2) (+.f64 (.f64 -1/6 (pow.f64 z 3)) (.f64 1/2 (*.f64 z z)))))
(fma.f64 (exp.f64 -13/2) (.f64 (.f64 z z) (+.f64 (.f64 z -1/6) 1/2)) (.f64 (exp.f64 -13/2) (fma.f64 -1 z 1)))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(/.f64 6765203681218851/10000000000000 z)
(-.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 z)) 12581392167224029901/10000000000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) -12581392167224029901/10000000000000000)
(-.f64 (+.f64 (.f64 3147848041806007/2500000000000 z) (.f64 6765203681218851/10000000000000 (/.f64 1 z))) 12581392167224029901/10000000000000000)
(+.f64 (fma.f64 3147848041806007/2500000000000 z (/.f64 6765203681218851/10000000000000 z)) -12581392167224029901/10000000000000000)
(+.f64 (fma.f64 z 3147848041806007/2500000000000 (/.f64 6765203681218851/10000000000000 z)) -12581392167224029901/10000000000000000)
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z 3147848041806007/2500000000000 -12581392167224029901/10000000000000000))
(-.f64 (+.f64 (.f64 3147848041806007/2500000000000 z) (+.f64 (.f64 -3147848041806007/2500000000000 (pow.f64 z 2)) (*.f64 6765203681218851/10000000000000 (/.f64 1 z)))) 12581392167224029901/10000000000000000)
(+.f64 (fma.f64 3147848041806007/2500000000000 z (fma.f64 -3147848041806007/2500000000000 (*.f64 z z) (/.f64 6765203681218851/10000000000000 z))) -12581392167224029901/10000000000000000)
(fma.f64 z 3147848041806007/2500000000000 (+.f64 (fma.f64 (*.f64 z z) -3147848041806007/2500000000000 (/.f64 6765203681218851/10000000000000 z)) -12581392167224029901/10000000000000000))
(fma.f64 z 3147848041806007/2500000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z (*.f64 z -3147848041806007/2500000000000) -12581392167224029901/10000000000000000)))
(+.f64 (/.f64 6765203681218851/10000000000000 z) (fma.f64 z (+.f64 3147848041806007/2500000000000 (*.f64 z -3147848041806007/2500000000000)) -12581392167224029901/10000000000000000))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
(+.f64 9999999999998099/10000000000000000 (/.f64 -5826188486005177/10000000000000 z))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z)))
(+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -5826188486005177/10000000000000 z)))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -5826188486005177/10000000000000 z)) (/.f64 3147848041806007/2500000000000 (*.f64 z z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (-.f64 (/.f64 -5826188486005177/10000000000000 z) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3)))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(-.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
(+.f64 9999999999998099/10000000000000000 (/.f64 -5826188486005177/10000000000000 z))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z)))
(+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -5826188486005177/10000000000000 z)))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -5826188486005177/10000000000000 z)) (/.f64 3147848041806007/2500000000000 (*.f64 z z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 3147848041806007/2500000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3147848041806007/2500000000000 (*.f64 z z)) (-.f64 (/.f64 -5826188486005177/10000000000000 z) (/.f64 3147848041806007/2500000000000 (pow.f64 z 3)))))

eval987.0ms (2.9%)

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

prune484.0ms (1.4%)

Pruning

75 alts after pruning (73 fresh and 2 done)

	Pruned	Kept	Total
New	233	73	306
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	233	75	308

Error

0.5b

Counts

308 → 75

Alt Table

Click to see full alt table

Status	Error	Program
▶	4.5b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2)))))))
	4.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (/.f64 (pow.f64 (+.f64 z 13/2) z) (sqrt.f64 (exp.f64 (+.f64 z 13/2)))) (/.f64 (pow.f64 (+.f64 z 13/2) -1/2) (sqrt.f64 (exp.f64 (+.f64 z 13/2)))))))
	4.5b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (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))))
	4.5b	(.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 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 z -1) 3))) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	4.5b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
	4.6b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) 2) (sqrt.f64 (exp.f64 (+.f64 z 13/2)))) (/.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (sqrt.f64 (exp.f64 (+.f64 z 13/2)))))))
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	4.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 1 (neg.f64 (exp.f64 (+.f64 z 13/2)))))))
	4.3b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	4.4b	(.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	4.3b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 3)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (*.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
	5.0b	(.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) 3) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
▶	4.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (+.f64 (.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z))))) (*.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
	4.5b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 1 (/.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))

Compiler

Compiled 12529 to 10653 computations (15% saved)

localize494.0ms (1.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 570 to 483 computations (15.3% saved)

series6.0ms (0%)

Counts

3 → 24

Calls

6 calls:

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

rewrite73.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 93

Calls

Call 1

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

Outputs

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

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

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

simplify77.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

117 → 113

Calls

Call 1

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

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

localize293.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.1b	(exp.f64 (+.f64 z 13/2))
	2.4b	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))

Compiler

Compiled 297 to 240 computations (19.2% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite99.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

Outputs

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

simplify117.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

29 → 27

Calls

Call 1

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

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

localize188.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))
	0.8b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	2.4b	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 z) (exp.f64 13/2)))

Compiler

Compiled 409 to 327 computations (20% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

rewrite70.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

611×	`log-prod_binary64`
329×	`pow2_binary64`
296×	`prod-diff_binary64`
284×	`pow-unpow_binary64`
225×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	249	18
2	3439	18

Stop Event

1×	node limit

Counts

1 → 52

Calls

Call 1

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

Outputs

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

simplify54.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

509×	`associate--r+_binary64`
434×	`associate--l+_binary64`
427×	`associate-+l-_binary64`
361×	`fma-neg_binary64`
304×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	547
1	197	535
2	614	521
3	2957	447

Stop Event

1×	node limit

Counts

64 → 62

Calls

Call 1

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

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

localize234.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.1b	(exp.f64 (+.f64 z 13/2))
✓	1.3b	(expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2))))
✓	2.4b	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2)))))

Compiler

Compiled 418 to 339 computations (18.9% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite72.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 101

Calls

Call 1

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

Outputs

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13/2))) -2) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (cbrt.f64 (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 z 13/2) (*.f64 2 (+.f64 z -1/2)))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) 2)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) 2)) (/.f64 (sqrt.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (cbrt.f64 (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 z 13/2) z) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) 2)) (/.f64 (pow.f64 (+.f64 z 13/2) -1/2) (cbrt.f64 (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 (+.f64 z 13/2)) -1/2) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (sqrt.f64 (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 (+.f64 z 13/2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (+.f64 z 13/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (+.f64 z 13/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (+.f64 z 13/2))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (+.f64 z 13/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 (+.f64 z 13/2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (+.f64 z 13/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 z) (exp.f64 13/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 z) (pow.f64 (exp.f64 1) 13/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 13/2) (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) 2) (cbrt.f64 (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (+.f64 z 13/2))) (sqrt.f64 (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1) 13/2) (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1) (*.f64 1/2 (+.f64 z 13/2))) (pow.f64 (exp.f64 1) (*.f64 1/2 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1) (*.f64 2 (*.f64 1/3 (+.f64 z 13/2)))) (pow.f64 (exp.f64 1) (*.f64 1/3 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (+.f64 z 13/2)) 1) 3) 1) (+.f64 (pow.f64 (+.f64 (exp.f64 (+.f64 z 13/2)) 1) 2) (+.f64 1 (*.f64 (+.f64 (exp.f64 (+.f64 z 13/2)) 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (+.f64 z 13/2)) 1) 2) 1) (+.f64 (+.f64 (exp.f64 (+.f64 z 13/2)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (+.f64 z 13/2)))) (pow.f64 (exp.f64 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 1) (/.f64 (*.f64 z z) (-.f64 z 13/2))) (pow.f64 (exp.f64 1) (/.f64 169/4 (-.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 z 13/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 z 13/2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 z 13/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (+.f64 z 13/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (+.f64 z 13/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (+.f64 z 13/2))) (sqrt.f64 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (+.f64 z 13/2))) (*.f64 (sqrt.f64 (+.f64 z 13/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2)) (cbrt.f64 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2)) (*.f64 (cbrt.f64 (+.f64 z 13/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (+.f64 z 13/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z 13/2))) 1) (sqrt.f64 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z 13/2))) (cbrt.f64 (+.f64 z 13/2))) (cbrt.f64 (sqrt.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z 13/2))) (sqrt.f64 (sqrt.f64 (+.f64 z 13/2)))) (sqrt.f64 (sqrt.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z 13/2))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2)) 1) (cbrt.f64 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 z 13/2))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2)) (cbrt.f64 (sqrt.f64 (+.f64 z 13/2)))) (cbrt.f64 (sqrt.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2))) (cbrt.f64 (cbrt.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 z 13/2)))) (sqrt.f64 (cbrt.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) 1) (+.f64 z 13/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (+.f64 z 13/2))) (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (+.f64 z 13/2)) 2)) (cbrt.f64 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (+.f64 z 13/2))) (sqrt.f64 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (+.f64 2197/8 (pow.f64 z 3))) (/.f64 1 (-.f64 (fma.f64 z z 169/4) (*.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (fma.f64 z z -169/4)) (/.f64 1 (-.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (+.f64 z 13/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 z 13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (+.f64 z 13/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 z 13/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (exp.f64 (+.f64 z 13/2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 (+.f64 z 13/2)) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 (+.f64 z 13/2)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (exp.f64 (+.f64 z 13/2)) 1)) (sqrt.f64 (+.f64 (exp.f64 (+.f64 z 13/2)) 1)) -1)))))

simplify53.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

125 → 120

Calls

Call 1

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

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

localize455.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(+.f64 (.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.1b	(exp.f64 (+.f64 z 13/2))
	2.4b	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))

Compiler

Compiled 725 to 583 computations (19.6% saved)

series4.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

(+.f64 (*.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (*.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)))))

1.0ms

inf

(+.f64 (*.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (*.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)))))

1.0ms

-inf

(+.f64 (*.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (*.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)))))

rewrite103.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

359×	`add-sqr-sqrt_binary64`
345×	`add-log-exp_binary64`
345×	`log1p-expm1-u_binary64`
345×	`expm1-log1p-u_binary64`
343×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	59
1	727	59

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

Inputs

(+.f64 (*.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (*.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (*.f64 z z)))))

Outputs

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simplify114.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

831×	`distribute-neg-frac_binary64`
432×	`fma-def_binary64`
429×	`distribute-rgt-neg-in_binary64`
397×	`times-frac_binary64`
343×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	198
1	118	196
2	263	196
3	601	196
4	1690	196
5	6128	196

Stop Event

1×	node limit

Counts

42 → 45

Calls

Call 1

Inputs
(/.f64 1505584350289831101433741438288729716199512261987/2000000000000000000000000000000000000000 (pow.f64 z 2))
(-.f64 (.f64 1505584350289831101433741438288729716199512261987/2000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 102280744015705382936837838888955559666846550237/62500000000000000000000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 5332752617125770952596039513154648385289309649625687313/2000000000000000000000000000000000000000000000 (.f64 1505584350289831101433741438288729716199512261987/2000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2)))) (.f64 102280744015705382936837838888955559666846550237/62500000000000000000000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 5332752617125770952596039513154648385289309649625687313/2000000000000000000000000000000000000000000000 (+.f64 (.f64 1505584350289831101433741438288729716199512261987/2000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 -14974522160149141128622230669972933821125260519585342957/4000000000000000000000000000000000000000000000 z))) (*.f64 102280744015705382936837838888955559666846550237/62500000000000000000000000000000000000 (/.f64 1 z)))
(/.f64 -2030462645499283918102180952123699387707475114759/1000000000000000000000000000000000000000000000 z)
(-.f64 (.f64 99329352138107910388193016228244993646467587609609/100000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 2030462645499283918102180952123699387707475114759/1000000000000000000000000000000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 (.f64 99329352138107910388193016228244993646467587609609/100000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 32302309136795407057575497787134017122287982094212031/125000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3)))) (*.f64 2030462645499283918102180952123699387707475114759/1000000000000000000000000000000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 (.f64 32302309136795407057575497787134017122287982094212031/125000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 99329352138107910388193016228244993646467587609609/100000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 187374657168094258767134612803526679202575020136793731/250000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 2030462645499283918102180952123699387707475114759/1000000000000000000000000000000000000000000000 (/.f64 1 z))))
(/.f64 -2030462645499283918102180952123699387707475114759/1000000000000000000000000000000000000000000000 z)
(-.f64 (.f64 99329352138107910388193016228244993646467587609609/100000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 2030462645499283918102180952123699387707475114759/1000000000000000000000000000000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 (.f64 99329352138107910388193016228244993646467587609609/100000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 32302309136795407057575497787134017122287982094212031/125000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3)))) (*.f64 2030462645499283918102180952123699387707475114759/1000000000000000000000000000000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 (.f64 32302309136795407057575497787134017122287982094212031/125000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 99329352138107910388193016228244993646467587609609/100000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 187374657168094258767134612803526679202575020136793731/250000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 2030462645499283918102180952123699387707475114759/1000000000000000000000000000000000000000000000 (/.f64 1 z))))

Outputs
(/.f64 1505584350289831101433741438288729716199512261987/2000000000000000000000000000000000000000 (pow.f64 z 2))
(/.f64 1505584350289831101433741438288729716199512261987/2000000000000000000000000000000000000000 (*.f64 z z))
(-.f64 (.f64 1505584350289831101433741438288729716199512261987/2000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 102280744015705382936837838888955559666846550237/62500000000000000000000000000000000000 (/.f64 1 z)))
(-.f64 (/.f64 1505584350289831101433741438288729716199512261987/2000000000000000000000000000000000000000 (*.f64 z z)) (/.f64 102280744015705382936837838888955559666846550237/62500000000000000000000000000000000000 z))
(+.f64 (/.f64 1505584350289831101433741438288729716199512261987/2000000000000000000000000000000000000000 (*.f64 z z)) (/.f64 -102280744015705382936837838888955559666846550237/62500000000000000000000000000000000000 z))
(-.f64 (+.f64 5332752617125770952596039513154648385289309649625687313/2000000000000000000000000000000000000000000000 (.f64 1505584350289831101433741438288729716199512261987/2000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2)))) (.f64 102280744015705382936837838888955559666846550237/62500000000000000000000000000000000000 (/.f64 1 z)))
(+.f64 5332752617125770952596039513154648385289309649625687313/2000000000000000000000000000000000000000000000 (-.f64 (/.f64 1505584350289831101433741438288729716199512261987/2000000000000000000000000000000000000000 (*.f64 z z)) (/.f64 102280744015705382936837838888955559666846550237/62500000000000000000000000000000000000 z)))
(+.f64 (/.f64 1505584350289831101433741438288729716199512261987/2000000000000000000000000000000000000000 (*.f64 z z)) (-.f64 5332752617125770952596039513154648385289309649625687313/2000000000000000000000000000000000000000000000 (/.f64 102280744015705382936837838888955559666846550237/62500000000000000000000000000000000000 z)))
(+.f64 (/.f64 1505584350289831101433741438288729716199512261987/2000000000000000000000000000000000000000 (*.f64 z z)) (+.f64 5332752617125770952596039513154648385289309649625687313/2000000000000000000000000000000000000000000000 (/.f64 -102280744015705382936837838888955559666846550237/62500000000000000000000000000000000000 z)))
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(+.f64 5332752617125770952596039513154648385289309649625687313/2000000000000000000000000000000000000000000000 (-.f64 (+.f64 (/.f64 1505584350289831101433741438288729716199512261987/2000000000000000000000000000000000000000 (.f64 z z)) (.f64 z -14974522160149141128622230669972933821125260519585342957/4000000000000000000000000000000000000000000000)) (/.f64 102280744015705382936837838888955559666846550237/62500000000000000000000000000000000000 z)))
(+.f64 5332752617125770952596039513154648385289309649625687313/2000000000000000000000000000000000000000000000 (+.f64 (fma.f64 z -14974522160149141128622230669972933821125260519585342957/4000000000000000000000000000000000000000000000 (/.f64 1505584350289831101433741438288729716199512261987/2000000000000000000000000000000000000000 (*.f64 z z))) (/.f64 -102280744015705382936837838888955559666846550237/62500000000000000000000000000000000000 z)))
(+.f64 (/.f64 1505584350289831101433741438288729716199512261987/2000000000000000000000000000000000000000 (*.f64 z z)) (-.f64 (fma.f64 z -14974522160149141128622230669972933821125260519585342957/4000000000000000000000000000000000000000000000 5332752617125770952596039513154648385289309649625687313/2000000000000000000000000000000000000000000000) (/.f64 102280744015705382936837838888955559666846550237/62500000000000000000000000000000000000 z)))
(+.f64 (/.f64 1505584350289831101433741438288729716199512261987/2000000000000000000000000000000000000000 (*.f64 z z)) (+.f64 (/.f64 -102280744015705382936837838888955559666846550237/62500000000000000000000000000000000000 z) (fma.f64 z -14974522160149141128622230669972933821125260519585342957/4000000000000000000000000000000000000000000000 5332752617125770952596039513154648385289309649625687313/2000000000000000000000000000000000000000000000)))
(/.f64 -2030462645499283918102180952123699387707475114759/1000000000000000000000000000000000000000000000 z)
(-.f64 (.f64 99329352138107910388193016228244993646467587609609/100000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 2030462645499283918102180952123699387707475114759/1000000000000000000000000000000000000000000000 (/.f64 1 z)))
(-.f64 (/.f64 99329352138107910388193016228244993646467587609609/100000000000000000000000000000000000000000000 (*.f64 z z)) (/.f64 2030462645499283918102180952123699387707475114759/1000000000000000000000000000000000000000000000 z))
(+.f64 (/.f64 99329352138107910388193016228244993646467587609609/100000000000000000000000000000000000000000000 (*.f64 z z)) (/.f64 -2030462645499283918102180952123699387707475114759/1000000000000000000000000000000000000000000000 z))
(-.f64 (+.f64 (.f64 99329352138107910388193016228244993646467587609609/100000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 32302309136795407057575497787134017122287982094212031/125000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3)))) (*.f64 2030462645499283918102180952123699387707475114759/1000000000000000000000000000000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 (/.f64 99329352138107910388193016228244993646467587609609/100000000000000000000000000000000000000000000 (*.f64 z z)) (/.f64 32302309136795407057575497787134017122287982094212031/125000000000000000000000000000000000000000000 (pow.f64 z 3))) (/.f64 2030462645499283918102180952123699387707475114759/1000000000000000000000000000000000000000000000 z))
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(-.f64 (+.f64 (/.f64 99329352138107910388193016228244993646467587609609/100000000000000000000000000000000000000000000 (*.f64 z z)) (/.f64 32302309136795407057575497787134017122287982094212031/125000000000000000000000000000000000000000000 (pow.f64 z 3))) (+.f64 (/.f64 2030462645499283918102180952123699387707475114759/1000000000000000000000000000000000000000000000 z) (/.f64 187374657168094258767134612803526679202575020136793731/250000000000000000000000000000000000000000000 (pow.f64 z 4))))
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(+.f64 (/.f64 99329352138107910388193016228244993646467587609609/100000000000000000000000000000000000000000000 (*.f64 z z)) (-.f64 (/.f64 32302309136795407057575497787134017122287982094212031/125000000000000000000000000000000000000000000 (pow.f64 z 3)) (+.f64 (/.f64 2030462645499283918102180952123699387707475114759/1000000000000000000000000000000000000000000000 z) (/.f64 187374657168094258767134612803526679202575020136793731/250000000000000000000000000000000000000000000 (pow.f64 z 4)))))
(+.f64 (+.f64 (/.f64 99329352138107910388193016228244993646467587609609/100000000000000000000000000000000000000000000 (*.f64 z z)) (/.f64 -2030462645499283918102180952123699387707475114759/1000000000000000000000000000000000000000000000 z)) (+.f64 (/.f64 32302309136795407057575497787134017122287982094212031/125000000000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 -187374657168094258767134612803526679202575020136793731/250000000000000000000000000000000000000000000 (pow.f64 z 4))))
(-.f64 (/.f64 99329352138107910388193016228244993646467587609609/100000000000000000000000000000000000000000000 (.f64 z z)) (+.f64 (/.f64 2030462645499283918102180952123699387707475114759/1000000000000000000000000000000000000000000000 z) (.f64 (/.f64 1 (pow.f64 z 3)) (-.f64 (/.f64 187374657168094258767134612803526679202575020136793731/250000000000000000000000000000000000000000000 z) 32302309136795407057575497787134017122287982094212031/125000000000000000000000000000000000000000000))))
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(/.f64 -2030462645499283918102180952123699387707475114759/1000000000000000000000000000000000000000000000 z)
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(-.f64 (+.f64 (.f64 99329352138107910388193016228244993646467587609609/100000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 32302309136795407057575497787134017122287982094212031/125000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3)))) (*.f64 2030462645499283918102180952123699387707475114759/1000000000000000000000000000000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 (/.f64 99329352138107910388193016228244993646467587609609/100000000000000000000000000000000000000000000 (*.f64 z z)) (/.f64 32302309136795407057575497787134017122287982094212031/125000000000000000000000000000000000000000000 (pow.f64 z 3))) (/.f64 2030462645499283918102180952123699387707475114759/1000000000000000000000000000000000000000000000 z))
(+.f64 (/.f64 32302309136795407057575497787134017122287982094212031/125000000000000000000000000000000000000000000 (pow.f64 z 3)) (+.f64 (/.f64 99329352138107910388193016228244993646467587609609/100000000000000000000000000000000000000000000 (*.f64 z z)) (/.f64 -2030462645499283918102180952123699387707475114759/1000000000000000000000000000000000000000000000 z)))
(+.f64 (+.f64 (/.f64 99329352138107910388193016228244993646467587609609/100000000000000000000000000000000000000000000 (*.f64 z z)) (/.f64 -2030462645499283918102180952123699387707475114759/1000000000000000000000000000000000000000000000 z)) (/.f64 32302309136795407057575497787134017122287982094212031/125000000000000000000000000000000000000000000 (pow.f64 z 3)))
(+.f64 (/.f64 99329352138107910388193016228244993646467587609609/100000000000000000000000000000000000000000000 (*.f64 z z)) (+.f64 (/.f64 32302309136795407057575497787134017122287982094212031/125000000000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 -2030462645499283918102180952123699387707475114759/1000000000000000000000000000000000000000000000 z)))
(-.f64 (+.f64 (.f64 32302309136795407057575497787134017122287982094212031/125000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 99329352138107910388193016228244993646467587609609/100000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 187374657168094258767134612803526679202575020136793731/250000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 2030462645499283918102180952123699387707475114759/1000000000000000000000000000000000000000000000 (/.f64 1 z))))
(-.f64 (+.f64 (/.f64 99329352138107910388193016228244993646467587609609/100000000000000000000000000000000000000000000 (*.f64 z z)) (/.f64 32302309136795407057575497787134017122287982094212031/125000000000000000000000000000000000000000000 (pow.f64 z 3))) (+.f64 (/.f64 2030462645499283918102180952123699387707475114759/1000000000000000000000000000000000000000000000 z) (/.f64 187374657168094258767134612803526679202575020136793731/250000000000000000000000000000000000000000000 (pow.f64 z 4))))
(+.f64 (-.f64 (+.f64 (/.f64 99329352138107910388193016228244993646467587609609/100000000000000000000000000000000000000000000 (*.f64 z z)) (/.f64 32302309136795407057575497787134017122287982094212031/125000000000000000000000000000000000000000000 (pow.f64 z 3))) (/.f64 187374657168094258767134612803526679202575020136793731/250000000000000000000000000000000000000000000 (pow.f64 z 4))) (/.f64 -2030462645499283918102180952123699387707475114759/1000000000000000000000000000000000000000000000 z))
(+.f64 (/.f64 99329352138107910388193016228244993646467587609609/100000000000000000000000000000000000000000000 (*.f64 z z)) (-.f64 (/.f64 32302309136795407057575497787134017122287982094212031/125000000000000000000000000000000000000000000 (pow.f64 z 3)) (+.f64 (/.f64 2030462645499283918102180952123699387707475114759/1000000000000000000000000000000000000000000000 z) (/.f64 187374657168094258767134612803526679202575020136793731/250000000000000000000000000000000000000000000 (pow.f64 z 4)))))
(+.f64 (+.f64 (/.f64 99329352138107910388193016228244993646467587609609/100000000000000000000000000000000000000000000 (*.f64 z z)) (/.f64 -2030462645499283918102180952123699387707475114759/1000000000000000000000000000000000000000000000 z)) (+.f64 (/.f64 32302309136795407057575497787134017122287982094212031/125000000000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 -187374657168094258767134612803526679202575020136793731/250000000000000000000000000000000000000000000 (pow.f64 z 4))))
(-.f64 (/.f64 99329352138107910388193016228244993646467587609609/100000000000000000000000000000000000000000000 (.f64 z z)) (+.f64 (/.f64 2030462645499283918102180952123699387707475114759/1000000000000000000000000000000000000000000000 z) (.f64 (/.f64 1 (pow.f64 z 3)) (-.f64 (/.f64 187374657168094258767134612803526679202575020136793731/250000000000000000000000000000000000000000000 z) 32302309136795407057575497787134017122287982094212031/125000000000000000000000000000000000000000000))))
(+.f64 (/.f64 99329352138107910388193016228244993646467587609609/100000000000000000000000000000000000000000000 (*.f64 z z)) (+.f64 (/.f64 32302309136795407057575497787134017122287982094212031/125000000000000000000000000000000000000000000 (pow.f64 z 3)) (-.f64 (/.f64 -187374657168094258767134612803526679202575020136793731/250000000000000000000000000000000000000000000 (pow.f64 z 4)) (/.f64 2030462645499283918102180952123699387707475114759/1000000000000000000000000000000000000000000000 z))))

eval2.3s (6.7%)

Compiler: Compiled 65638 to 54576 computations (16.9% saved)

prune628.0ms (1.8%)

Pruning

112 alts after pruning (107 fresh and 5 done)

	Pruned	Kept	Total
New	726	57	783
Fresh	18	50	68
Picked	0	1	1
Done	2	4	6
Total	746	112	858

Error

0.3b

Counts

858 → 112

Alt Table

Click to see full alt table

Status	Error	Program
	6.1b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z 13/2))) (cbrt.f64 (+.f64 z 13/2))) (cbrt.f64 (sqrt.f64 (+.f64 z 13/2)))))))
	4.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (/.f64 (pow.f64 (+.f64 z 13/2) z) (sqrt.f64 (exp.f64 (+.f64 z 13/2)))) (/.f64 (pow.f64 (+.f64 z 13/2) -1/2) (sqrt.f64 (exp.f64 (+.f64 z 13/2)))))))
▶	4.5b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (pow.f64 (+.f64 z 13/2) z) (*.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 (-.f64 (neg.f64 z) 13/2))))))
	4.5b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 3) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 z -1) 3))) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
✓	4.5b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2)))))))
	4.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (/.f64 1 (exp.f64 z)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 13/2)))))
	4.2b	(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 (-.f64 -13/2 z) (.f64 (-.f64 1/2 z) (log.f64 (+.f64 z 13/2))))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	4.5b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (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))))
	4.5b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
	4.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (+.f64 (.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z))))) (.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (/.f64 (pow.f64 (+.f64 z 13/2) z) 1) (/.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 (+.f64 z 13/2))))))
	5.6b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.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 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 z) (exp.f64 13/2)))))
	53.6b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
	4.7b	(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 2)) 2)) (sqrt.f64 (cbrt.f64 (.f64 (PI.f64) 2)))) (.f64 (+.f64 (/.f64 (+.f64 (.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z))))) (*.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
	5.2b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (pow.f64 (exp.f64 -1) (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
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	63.1b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))
	4.5b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (/.f64 (pow.f64 (+.f64 z 13/2) z) (cbrt.f64 (exp.f64 (*.f64 2 (+.f64 z 13/2))))) (/.f64 (pow.f64 (+.f64 z 13/2) -1/2) (cbrt.f64 (exp.f64 (+.f64 z 13/2)))))))
	5.1b	(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) 3) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 z) (exp.f64 13/2)))))
	4.0b	(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (.f64 (/.f64 6765203681218851/10000000000000 z) (-.f64 (/.f64 6765203681218851/10000000000000 z) 9999999999998099/10000000000000000))) (.f64 (.f64 (-.f64 z -1) -2500000000000/3147848041806007) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 6765203681218851/10000000000000 z) 3)))) (.f64 (.f64 (-.f64 z -1) -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))))
	4.5b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (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))))
	55.3b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (-.f64 (+.f64 (.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 8724775023335764401/10000000000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
	3.8b	(.f64 (.f64 (sqrt.f64 2) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
✓	4.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (exp.f64 z) (exp.f64 13/2)))))
	13.6b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (pow.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 3) 1/3)))
	4.3b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	4.4b	(.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (exp.f64 (neg.f64 (+.f64 13/2 z))))) (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	4.3b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 3)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (*.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
	57.1b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
	4.1b	(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (.f64 (.f64 (-.f64 z -1) -2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z))))) (.f64 (.f64 (-.f64 z -1) -2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	4.5b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 1 (/.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
	5.0b	(.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) 3) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	4.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 1 (neg.f64 (exp.f64 (+.f64 z 13/2)))))))
✓	4.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (+.f64 (.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z))))) (*.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
	6.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (/.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (+.f64 z 13/2)))) (pow.f64 (exp.f64 1) 1)))))

Compiler

Compiled 18558 to 15766 computations (15% saved)

localize269.0ms (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 (PI.f64))
	1.1b	(exp.f64 (-.f64 -13/2 z))
✓	1.7b	(/.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 2)) (cbrt.f64 (exp.f64 (-.f64 -13/2 z)))) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z)))

Compiler

Compiled 637 to 541 computations (15.1% saved)

series8.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

inf

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

2.0ms

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

1.0ms

-inf

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

rewrite71.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

689×	`log-prod_binary64`
288×	`prod-diff_binary64`
269×	`expm1-udef_binary64`
269×	`log1p-udef_binary64`
229×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	18
1	348	18
2	4338	18

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

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

Outputs

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

simplify83.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

574×	`associate-l_binary64`
565×	`fma-neg_binary64`
547×	`associate-r_binary64`
401×	`fma-def_binary64`
327×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	87	772
1	279	681
2	1003	621
3	6105	601

Stop Event

1×	node limit

Counts

55 → 53

Calls

Call 1

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

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

localize107.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 263 to 220 computations (16.3% saved)

series7.0ms (0%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
2.0ms	z	@	inf	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
1.0ms	z	@	-inf	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
0.0ms	z	@	inf	(/.f64 -883075145810703/5000000000000 (+.f64 z 3))
0.0ms	z	@	0	(/.f64 -883075145810703/5000000000000 (+.f64 z 3))

rewrite82.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	80
1	943	80

Stop Event

1×	node limit

Counts

3 → 26

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify81.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	99	922
1	276	878
2	877	822
3	3941	673
4	6856	671

Stop Event

1×	node limit

Counts

50 → 56

Calls

Call 1

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

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

localize208.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.8b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.1b	(exp.f64 (-.f64 (neg.f64 z) 13/2))
✓	2.4b	(.f64 (pow.f64 (+.f64 z 13/2) z) (.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 (-.f64 (neg.f64 z) 13/2))))

Compiler

Compiled 434 to 344 computations (20.7% saved)

series7.0ms (0%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(.f64 (pow.f64 (+.f64 z 13/2) z) (.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 (-.f64 (neg.f64 z) 13/2))))
2.0ms	z	@	inf	(.f64 (pow.f64 (+.f64 z 13/2) z) (.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 (-.f64 (neg.f64 z) 13/2))))
2.0ms	z	@	-inf	(.f64 (pow.f64 (+.f64 z 13/2) z) (.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 (-.f64 (neg.f64 z) 13/2))))
0.0ms	z	@	0	(exp.f64 (-.f64 (neg.f64 z) 13/2))
0.0ms	z	@	-inf	(exp.f64 (-.f64 (neg.f64 z) 13/2))

rewrite69.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

567×	`log-prod_binary64`
391×	`pow-prod-down_binary64`
329×	`pow-unpow_binary64`
309×	`pow2_binary64`
229×	`pow-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	275	24
2	3666	24

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (+.f64 z -13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (+.f64 z -13/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (+.f64 z -13/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (+.f64 z -13/2))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (+.f64 z -13/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 z -13/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (+.f64 z -13/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (+.f64 z -13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 z) (exp.f64 -13/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 z) (/.f64 1 (exp.f64 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 z) (pow.f64 (exp.f64 1) -13/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (+.f64 z -13/2))) (cbrt.f64 (exp.f64 (*.f64 2 (+.f64 z -13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (*.f64 2 (+.f64 z -13/2)))) (cbrt.f64 (exp.f64 (+.f64 z -13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (+.f64 z -13/2))) (sqrt.f64 (exp.f64 (+.f64 z -13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1) -13/2) (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1) (*.f64 2 (*.f64 1/3 (+.f64 z -13/2)))) (pow.f64 (exp.f64 1) (*.f64 1/3 (+.f64 z -13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1) (*.f64 1/2 (+.f64 z -13/2))) (pow.f64 (exp.f64 1) (*.f64 1/2 (+.f64 z -13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (exp.f64 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 13/2) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 z) (exp.f64 13/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 z) (pow.f64 (exp.f64 1) 13/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (exp.f64 z)) (neg.f64 (exp.f64 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (+.f64 z -13/2)))) (pow.f64 (exp.f64 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 1) (/.f64 (pow.f64 z 3) (fma.f64 z z (fma.f64 z 13/2 169/4)))) (pow.f64 (exp.f64 1) (/.f64 2197/8 (fma.f64 z z (fma.f64 z 13/2 169/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 1) (/.f64 (*.f64 z z) (+.f64 z 13/2))) (pow.f64 (exp.f64 1) (/.f64 169/4 (+.f64 z 13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 z -13/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 2 (+.f64 z -13/2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 z -13/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (+.f64 z -13/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (+.f64 z -13/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (+.f64 z -13/2))) (sqrt.f64 (+.f64 z -13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (+.f64 z -13/2))) (*.f64 (sqrt.f64 (+.f64 z -13/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z -13/2)) 2)) (cbrt.f64 (+.f64 z -13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z -13/2)) 2)) (*.f64 (cbrt.f64 (+.f64 z -13/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (+.f64 z -13/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 13/2) (exp.f64 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z -13/2))) 1) (sqrt.f64 (+.f64 z -13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z -13/2))) (cbrt.f64 (+.f64 z -13/2))) (cbrt.f64 (sqrt.f64 (+.f64 z -13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z -13/2))) (sqrt.f64 (sqrt.f64 (+.f64 z -13/2)))) (sqrt.f64 (sqrt.f64 (+.f64 z -13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z -13/2))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 z -13/2)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 z -13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z -13/2)) 2)) 1) (cbrt.f64 (+.f64 z -13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z -13/2)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 z -13/2))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 z -13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z -13/2)) 2)) (cbrt.f64 (sqrt.f64 (+.f64 z -13/2)))) (cbrt.f64 (sqrt.f64 (+.f64 z -13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z -13/2)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 z -13/2)) 2))) (cbrt.f64 (cbrt.f64 (+.f64 z -13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 z -13/2)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 z -13/2)))) (sqrt.f64 (cbrt.f64 (+.f64 z -13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) 1) (+.f64 z -13/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (+.f64 z -13/2))) (pow.f64 (cbrt.f64 (+.f64 z -13/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (+.f64 z -13/2)) 2)) (cbrt.f64 (+.f64 z -13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (+.f64 z -13/2))) (sqrt.f64 (+.f64 z -13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (+.f64 (pow.f64 z 3) -2197/8)) (/.f64 1 (fma.f64 z z (fma.f64 z 13/2 169/4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (fma.f64 z z -169/4)) (/.f64 1 (+.f64 z 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (exp.f64 (*.f64 2 (+.f64 z -13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (+.f64 z -13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 z -13/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (+.f64 z -13/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (+.f64 z -13/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (+.f64 z -13/2))))))))

simplify58.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

574×	`fma-def_binary64`
322×	`distribute-rgt-out_binary64`
309×	`distribute-lft-out_binary64`
292×	`times-frac_binary64`
287×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	642
1	299	581
2	1020	526
3	5094	467

Stop Event

1×	node limit

Counts

89 → 90

Calls

Call 1

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

Outputs
(*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))
(+.f64 (.f64 z (+.f64 (.f64 (+.f64 (.f64 -1 (exp.f64 -13/2)) (.f64 (exp.f64 -13/2) (log.f64 13/2))) (sqrt.f64 2/13)) (.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13))))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))
(fma.f64 z (fma.f64 (fma.f64 -1 (exp.f64 -13/2) (.f64 (exp.f64 -13/2) (log.f64 13/2))) (sqrt.f64 2/13) (.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))
(fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 z (fma.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (+.f64 -1 (log.f64 13/2))) (*.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13))))))
(fma.f64 z (fma.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (+.f64 -1 (log.f64 13/2))) (.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))
(+.f64 (.f64 z (+.f64 (.f64 (+.f64 (.f64 -1 (exp.f64 -13/2)) (.f64 (exp.f64 -13/2) (log.f64 13/2))) (sqrt.f64 2/13)) (.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13))))) (+.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (.f64 (+.f64 (.f64 (+.f64 (.f64 1/2 (exp.f64 -13/2)) (+.f64 (.f64 -1 (.f64 (exp.f64 -13/2) (log.f64 13/2))) (.f64 (+.f64 2/13 (.f64 1/2 (pow.f64 (log.f64 13/2) 2))) (exp.f64 -13/2)))) (sqrt.f64 2/13)) (+.f64 (.f64 -2/169 (/.f64 (+.f64 (.f64 -1 (exp.f64 -13/2)) (.f64 (exp.f64 -13/2) (log.f64 13/2))) (sqrt.f64 2/13))) (.f64 1/2 (/.f64 (.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) (exp.f64 -13/2)) (sqrt.f64 2/13))))) (pow.f64 z 2))))
(fma.f64 z (fma.f64 (fma.f64 -1 (exp.f64 -13/2) (.f64 (exp.f64 -13/2) (log.f64 13/2))) (sqrt.f64 2/13) (.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)))) (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 (fma.f64 (fma.f64 1/2 (exp.f64 -13/2) (fma.f64 -1 (.f64 (exp.f64 -13/2) (log.f64 13/2)) (.f64 (exp.f64 -13/2) (+.f64 2/13 (.f64 1/2 (pow.f64 (log.f64 13/2) 2)))))) (sqrt.f64 2/13) (fma.f64 -2/169 (/.f64 (fma.f64 -1 (exp.f64 -13/2) (.f64 (exp.f64 -13/2) (log.f64 13/2))) (sqrt.f64 2/13)) (.f64 1/2 (/.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (*.f64 z z))))
(fma.f64 z (fma.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (+.f64 -1 (log.f64 13/2))) (.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)))) (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 (fma.f64 (sqrt.f64 2/13) (fma.f64 (exp.f64 -13/2) 1/2 (-.f64 (.f64 (exp.f64 -13/2) (fma.f64 1/2 (pow.f64 (log.f64 13/2) 2) 2/13)) (.f64 (exp.f64 -13/2) (log.f64 13/2)))) (fma.f64 -2/169 (/.f64 (.f64 (exp.f64 -13/2) (+.f64 -1 (log.f64 13/2))) (sqrt.f64 2/13)) (.f64 1/2 (.f64 (/.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) (sqrt.f64 2/13)) (exp.f64 -13/2))))) (*.f64 z z))))
(fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 z (+.f64 (.f64 z (fma.f64 (sqrt.f64 2/13) (fma.f64 (exp.f64 -13/2) 1/2 (.f64 (exp.f64 -13/2) (-.f64 (fma.f64 1/2 (pow.f64 (log.f64 13/2) 2) 2/13) (log.f64 13/2)))) (fma.f64 -2/169 (/.f64 (exp.f64 -13/2) (/.f64 (sqrt.f64 2/13) (+.f64 -1 (log.f64 13/2)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2))))))) (fma.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (+.f64 -1 (log.f64 13/2))) (*.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)))))))
(fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 z (+.f64 (.f64 z (fma.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (-.f64 (+.f64 1/2 (fma.f64 1/2 (pow.f64 (log.f64 13/2) 2) 2/13)) (log.f64 13/2))) (fma.f64 -2/169 (.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) (+.f64 -1 (log.f64 13/2))) (.f64 (/.f64 3/2197 (sqrt.f64 2/13)) (exp.f64 -13/2))))) (fma.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (+.f64 -1 (log.f64 13/2))) (*.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)))))))
(+.f64 (.f64 z (+.f64 (.f64 (+.f64 (.f64 -1 (exp.f64 -13/2)) (.f64 (exp.f64 -13/2) (log.f64 13/2))) (sqrt.f64 2/13)) (.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13))))) (+.f64 (.f64 (pow.f64 z 3) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 16/28561 (.f64 -2/169 (/.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) (pow.f64 (sqrt.f64 2/13) 2)))) (exp.f64 -13/2)) (sqrt.f64 2/13))) (+.f64 (.f64 -2/169 (/.f64 (+.f64 (.f64 1/2 (exp.f64 -13/2)) (+.f64 (.f64 -1 (.f64 (exp.f64 -13/2) (log.f64 13/2))) (.f64 (+.f64 2/13 (.f64 1/2 (pow.f64 (log.f64 13/2) 2))) (exp.f64 -13/2)))) (sqrt.f64 2/13))) (+.f64 (.f64 (sqrt.f64 2/13) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/6 (pow.f64 (log.f64 13/2) 3)) (.f64 2/13 (log.f64 13/2))) 2/169) (exp.f64 -13/2)) (+.f64 (.f64 -1/6 (exp.f64 -13/2)) (+.f64 (.f64 -1 (.f64 (+.f64 2/13 (.f64 1/2 (pow.f64 (log.f64 13/2) 2))) (exp.f64 -13/2))) (.f64 1/2 (.f64 (exp.f64 -13/2) (log.f64 13/2))))))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1 (exp.f64 -13/2)) (.f64 (exp.f64 -13/2) (log.f64 13/2))) (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2))) (sqrt.f64 2/13))))))) (+.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (.f64 (+.f64 (.f64 (+.f64 (.f64 1/2 (exp.f64 -13/2)) (+.f64 (.f64 -1 (.f64 (exp.f64 -13/2) (log.f64 13/2))) (.f64 (+.f64 2/13 (.f64 1/2 (pow.f64 (log.f64 13/2) 2))) (exp.f64 -13/2)))) (sqrt.f64 2/13)) (+.f64 (.f64 -2/169 (/.f64 (+.f64 (.f64 -1 (exp.f64 -13/2)) (.f64 (exp.f64 -13/2) (log.f64 13/2))) (sqrt.f64 2/13))) (.f64 1/2 (/.f64 (.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) (exp.f64 -13/2)) (sqrt.f64 2/13))))) (pow.f64 z 2)))))
(fma.f64 z (fma.f64 (fma.f64 -1 (exp.f64 -13/2) (.f64 (exp.f64 -13/2) (log.f64 13/2))) (sqrt.f64 2/13) (.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)))) (fma.f64 (pow.f64 z 3) (fma.f64 -1/2 (/.f64 (+.f64 16/28561 (.f64 -2/169 (/.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) (pow.f64 (sqrt.f64 2/13) 2)))) (/.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (fma.f64 -2/169 (/.f64 (fma.f64 1/2 (exp.f64 -13/2) (fma.f64 -1 (.f64 (exp.f64 -13/2) (log.f64 13/2)) (.f64 (exp.f64 -13/2) (+.f64 2/13 (.f64 1/2 (pow.f64 (log.f64 13/2) 2)))))) (sqrt.f64 2/13)) (fma.f64 (sqrt.f64 2/13) (fma.f64 (+.f64 (fma.f64 1/6 (pow.f64 (log.f64 13/2) 3) (.f64 2/13 (log.f64 13/2))) -2/169) (exp.f64 -13/2) (fma.f64 -1/6 (exp.f64 -13/2) (fma.f64 -1 (.f64 (exp.f64 -13/2) (+.f64 2/13 (.f64 1/2 (pow.f64 (log.f64 13/2) 2)))) (.f64 (.f64 (exp.f64 -13/2) (log.f64 13/2)) 1/2)))) (/.f64 (.f64 1/2 (.f64 (fma.f64 -1 (exp.f64 -13/2) (.f64 (exp.f64 -13/2) (log.f64 13/2))) (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)))) (sqrt.f64 2/13))))) (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 (fma.f64 (fma.f64 1/2 (exp.f64 -13/2) (fma.f64 -1 (.f64 (exp.f64 -13/2) (log.f64 13/2)) (.f64 (exp.f64 -13/2) (+.f64 2/13 (.f64 1/2 (pow.f64 (log.f64 13/2) 2)))))) (sqrt.f64 2/13) (fma.f64 -2/169 (/.f64 (fma.f64 -1 (exp.f64 -13/2) (.f64 (exp.f64 -13/2) (log.f64 13/2))) (sqrt.f64 2/13)) (.f64 1/2 (/.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (*.f64 z z)))))
(fma.f64 z (fma.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (+.f64 -1 (log.f64 13/2))) (.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)))) (fma.f64 (pow.f64 z 3) (fma.f64 -1/2 (/.f64 (exp.f64 -13/2) (/.f64 (sqrt.f64 2/13) (fma.f64 -2/169 (/.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) 2/13) 16/28561))) (fma.f64 -2/169 (/.f64 (fma.f64 (exp.f64 -13/2) 1/2 (-.f64 (.f64 (exp.f64 -13/2) (fma.f64 1/2 (pow.f64 (log.f64 13/2) 2) 2/13)) (.f64 (exp.f64 -13/2) (log.f64 13/2)))) (sqrt.f64 2/13)) (fma.f64 (sqrt.f64 2/13) (+.f64 (-.f64 (.f64 (exp.f64 -13/2) (.f64 (log.f64 13/2) 1/2)) (.f64 (exp.f64 -13/2) (fma.f64 1/2 (pow.f64 (log.f64 13/2) 2) 2/13))) (.f64 (exp.f64 -13/2) (+.f64 (fma.f64 1/6 (pow.f64 (log.f64 13/2) 3) (fma.f64 2/13 (log.f64 13/2) -2/169)) -1/6))) (.f64 1/2 (.f64 (/.f64 (.f64 (exp.f64 -13/2) (+.f64 -1 (log.f64 13/2))) (sqrt.f64 2/13)) (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2))))))) (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 (fma.f64 (sqrt.f64 2/13) (fma.f64 (exp.f64 -13/2) 1/2 (-.f64 (.f64 (exp.f64 -13/2) (fma.f64 1/2 (pow.f64 (log.f64 13/2) 2) 2/13)) (.f64 (exp.f64 -13/2) (log.f64 13/2)))) (fma.f64 -2/169 (/.f64 (.f64 (exp.f64 -13/2) (+.f64 -1 (log.f64 13/2))) (sqrt.f64 2/13)) (.f64 1/2 (.f64 (/.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) (sqrt.f64 2/13)) (exp.f64 -13/2))))) (.f64 z z)))))
(fma.f64 (pow.f64 z 3) (+.f64 (.f64 (/.f64 -5/28561 (sqrt.f64 2/13)) (exp.f64 -13/2)) (fma.f64 (sqrt.f64 2/13) (fma.f64 (exp.f64 -13/2) (fma.f64 2/13 (log.f64 13/2) (fma.f64 1/6 (pow.f64 (log.f64 13/2) 3) -2/169)) (.f64 (exp.f64 -13/2) (+.f64 (.f64 (log.f64 13/2) 1/2) (+.f64 -25/78 (.f64 (pow.f64 (log.f64 13/2) 2) -1/2))))) (fma.f64 -2/169 (/.f64 (fma.f64 (exp.f64 -13/2) 1/2 (.f64 (exp.f64 -13/2) (-.f64 (fma.f64 1/2 (pow.f64 (log.f64 13/2) 2) 2/13) (log.f64 13/2)))) (sqrt.f64 2/13)) (.f64 1/2 (.f64 (/.f64 (exp.f64 -13/2) (/.f64 (sqrt.f64 2/13) (+.f64 -1 (log.f64 13/2)))) (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2))))))) (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 z (+.f64 (.f64 z (fma.f64 (sqrt.f64 2/13) (fma.f64 (exp.f64 -13/2) 1/2 (.f64 (exp.f64 -13/2) (-.f64 (fma.f64 1/2 (pow.f64 (log.f64 13/2) 2) 2/13) (log.f64 13/2)))) (fma.f64 -2/169 (/.f64 (exp.f64 -13/2) (/.f64 (sqrt.f64 2/13) (+.f64 -1 (log.f64 13/2)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2))))))) (fma.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (+.f64 -1 (log.f64 13/2))) (.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13))))))))
(fma.f64 (pow.f64 z 3) (+.f64 (/.f64 -5/28561 (/.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (fma.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (+.f64 (.f64 (log.f64 13/2) 1/2) (+.f64 (fma.f64 2/13 (log.f64 13/2) (fma.f64 1/6 (pow.f64 (log.f64 13/2) 3) -2/169)) (+.f64 -25/78 (.f64 (pow.f64 (log.f64 13/2) 2) -1/2))))) (fma.f64 -2/169 (/.f64 (.f64 (exp.f64 -13/2) (-.f64 (+.f64 1/2 (fma.f64 1/2 (pow.f64 (log.f64 13/2) 2) 2/13)) (log.f64 13/2))) (sqrt.f64 2/13)) (.f64 (.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) (+.f64 -1 (log.f64 13/2))) 3/2197)))) (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 z (+.f64 (.f64 z (fma.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (-.f64 (+.f64 1/2 (fma.f64 1/2 (pow.f64 (log.f64 13/2) 2) 2/13)) (log.f64 13/2))) (fma.f64 -2/169 (.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) (+.f64 -1 (log.f64 13/2))) (.f64 (/.f64 3/2197 (sqrt.f64 2/13)) (exp.f64 -13/2))))) (fma.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (+.f64 -1 (log.f64 13/2))) (*.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13))))))))
(exp.f64 -13/2)
(+.f64 (.f64 -1 (.f64 z (exp.f64 -13/2))) (exp.f64 -13/2))
(fma.f64 -1 (*.f64 (exp.f64 -13/2) z) (exp.f64 -13/2))
(-.f64 (exp.f64 -13/2) (*.f64 (exp.f64 -13/2) z))
(*.f64 (exp.f64 -13/2) (fma.f64 z -1 1))
(*.f64 (exp.f64 -13/2) (-.f64 1 z))
(+.f64 (.f64 1/2 (.f64 (pow.f64 z 2) (exp.f64 -13/2))) (+.f64 (.f64 -1 (.f64 z (exp.f64 -13/2))) (exp.f64 -13/2)))
(fma.f64 1/2 (.f64 (exp.f64 -13/2) (.f64 z z)) (fma.f64 -1 (*.f64 (exp.f64 -13/2) z) (exp.f64 -13/2)))
(+.f64 (exp.f64 -13/2) (.f64 (exp.f64 -13/2) (+.f64 (.f64 1/2 (*.f64 z z)) (neg.f64 z))))
(fma.f64 (exp.f64 -13/2) (fma.f64 1/2 (*.f64 z z) (neg.f64 z)) (exp.f64 -13/2))
(.f64 (exp.f64 -13/2) (-.f64 (+.f64 (.f64 z (*.f64 z 1/2)) 1) z))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 z 3) (exp.f64 -13/2))) (+.f64 (.f64 1/2 (.f64 (pow.f64 z 2) (exp.f64 -13/2))) (+.f64 (.f64 -1 (.f64 z (exp.f64 -13/2))) (exp.f64 -13/2))))
(fma.f64 -1/6 (.f64 (exp.f64 -13/2) (pow.f64 z 3)) (fma.f64 1/2 (.f64 (exp.f64 -13/2) (.f64 z z)) (fma.f64 -1 (.f64 (exp.f64 -13/2) z) (exp.f64 -13/2))))
(+.f64 (-.f64 (exp.f64 -13/2) (.f64 (exp.f64 -13/2) z)) (.f64 (exp.f64 -13/2) (+.f64 (.f64 (pow.f64 z 3) -1/6) (.f64 1/2 (*.f64 z z)))))
(fma.f64 (exp.f64 -13/2) (.f64 (.f64 z z) (+.f64 (.f64 z -1/6) 1/2)) (.f64 (exp.f64 -13/2) (fma.f64 z -1 1)))
(.f64 (exp.f64 -13/2) (+.f64 (-.f64 1 z) (.f64 (.f64 z z) (+.f64 (.f64 z -1/6) 1/2))))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (neg.f64 (+.f64 13/2 z)))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))
(exp.f64 (-.f64 (*.f64 -1 z) 13/2))
(exp.f64 (+.f64 -13/2 (neg.f64 z)))
(exp.f64 (-.f64 -13/2 z))

localize232.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.8b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.1b	(exp.f64 (+.f64 z 13/2))
	2.4b	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))

Compiler

Compiled 435 to 352 computations (19.1% saved)

localize237.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.1b	(exp.f64 (sqrt.f64 (+.f64 z 13/2)))
✓	2.4b	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z 13/2))) (sqrt.f64 (+.f64 z 13/2))))
✓	2.7b	(pow.f64 (exp.f64 (sqrt.f64 (+.f64 z 13/2))) (sqrt.f64 (+.f64 z 13/2)))

Compiler

Compiled 434 to 351 computations (19.1% saved)

series28.0ms (0.1%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	z	@	inf	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z 13/2))) (sqrt.f64 (+.f64 z 13/2))))
6.0ms	z	@	inf	(pow.f64 (exp.f64 (sqrt.f64 (+.f64 z 13/2))) (sqrt.f64 (+.f64 z 13/2)))
5.0ms	z	@	-inf	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z 13/2))) (sqrt.f64 (+.f64 z 13/2))))
3.0ms	z	@	0	(pow.f64 (exp.f64 (sqrt.f64 (+.f64 z 13/2))) (sqrt.f64 (+.f64 z 13/2)))
3.0ms	z	@	0	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z 13/2))) (sqrt.f64 (+.f64 z 13/2))))

rewrite77.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

574×	`log-prod_binary64`
333×	`pow-unpow_binary64`
331×	`pow2_binary64`
320×	`prod-diff_binary64`
222×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	253	32
2	3377	32

Stop Event

1×	node limit

Counts

3 → 110

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify50.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

699×	`fma-def_binary64`
554×	`distribute-rgt-in_binary64`
547×	`distribute-lft-in_binary64`
446×	`associate-+l+_binary64`
439×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	131	1501
1	421	913
2	1566	832

Stop Event

1×	node limit

Counts

122 → 133

Calls

Call 1

Inputs
(exp.f64 (pow.f64 (sqrt.f64 13/2) 2))
(+.f64 (exp.f64 (pow.f64 (sqrt.f64 13/2) 2)) (*.f64 (exp.f64 (pow.f64 (sqrt.f64 13/2) 2)) z))
(+.f64 (exp.f64 (pow.f64 (sqrt.f64 13/2) 2)) (+.f64 (.f64 (exp.f64 (pow.f64 (sqrt.f64 13/2) 2)) (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 13/2) (-.f64 (.f64 2 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 3))))) (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2)))))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2))) 1/2)) (pow.f64 z 2))) (.f64 (exp.f64 (pow.f64 (sqrt.f64 13/2) 2)) z)))
(+.f64 (exp.f64 (pow.f64 (sqrt.f64 13/2) 2)) (+.f64 (.f64 (exp.f64 (pow.f64 (sqrt.f64 13/2) 2)) (.f64 (pow.f64 z 3) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 13/2) (-.f64 (.f64 2 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 3))))) (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2)))))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2))) (+.f64 1/6 (+.f64 (.f64 1/4 (/.f64 (-.f64 (.f64 2 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 3))))) (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2)))) (sqrt.f64 13/2))) (.f64 1/6 (.f64 (sqrt.f64 13/2) (+.f64 (.f64 -3 (/.f64 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 3)))) (sqrt.f64 13/2))) (+.f64 (.f64 6 (-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 5))) (.f64 1/48 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 3)))) (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 4))))) (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 3))))))))))))) (+.f64 (.f64 (exp.f64 (pow.f64 (sqrt.f64 13/2) 2)) (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 13/2) (-.f64 (.f64 2 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 3))))) (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2)))))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2))) 1/2)) (pow.f64 z 2))) (.f64 (exp.f64 (pow.f64 (sqrt.f64 13/2) 2)) z))))
(/.f64 (sqrt.f64 2/13) (exp.f64 (pow.f64 (sqrt.f64 13/2) 2)))
(+.f64 (.f64 (-.f64 (/.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 (pow.f64 (sqrt.f64 13/2) 2))) (/.f64 (sqrt.f64 2/13) (exp.f64 (pow.f64 (sqrt.f64 13/2) 2)))) z) (/.f64 (sqrt.f64 2/13) (exp.f64 (pow.f64 (sqrt.f64 13/2) 2))))
(+.f64 (.f64 (-.f64 (/.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 (pow.f64 (sqrt.f64 13/2) 2))) (/.f64 (sqrt.f64 2/13) (exp.f64 (pow.f64 (sqrt.f64 13/2) 2)))) z) (+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 (pow.f64 (sqrt.f64 13/2) 2))) (.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 (pow.f64 (sqrt.f64 13/2) 2))) (/.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 (pow.f64 (sqrt.f64 13/2) 2)))) (+.f64 (/.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 (pow.f64 (sqrt.f64 13/2) 2))) (/.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 13/2) (-.f64 (.f64 2 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 3))))) (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2)))))) 1/2)) (sqrt.f64 2/13)) (exp.f64 (pow.f64 (sqrt.f64 13/2) 2))))) (pow.f64 z 2))))
(+.f64 (.f64 (-.f64 (/.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 (pow.f64 (sqrt.f64 13/2) 2))) (/.f64 (sqrt.f64 2/13) (exp.f64 (pow.f64 (sqrt.f64 13/2) 2)))) z) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 (pow.f64 (sqrt.f64 13/2) 2))) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (sqrt.f64 2/13)) (exp.f64 (pow.f64 (sqrt.f64 13/2) 2))) (/.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 13/2) (-.f64 (.f64 2 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 3))))) (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2)))))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2))) 1/2)) (sqrt.f64 2/13)) (exp.f64 (pow.f64 (sqrt.f64 13/2) 2))))) (+.f64 (/.f64 (.f64 (sqrt.f64 2/13) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 13/2) (-.f64 (.f64 2 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 3))))) (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2)))))) (+.f64 1/6 (+.f64 (.f64 1/4 (/.f64 (-.f64 (.f64 2 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 3))))) (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2)))) (sqrt.f64 13/2))) (.f64 1/6 (.f64 (sqrt.f64 13/2) (+.f64 (.f64 -3 (/.f64 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 3)))) (sqrt.f64 13/2))) (+.f64 (.f64 6 (-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 5))) (.f64 1/48 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 3)))) (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 4))))) (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 3)))))))))))) (exp.f64 (pow.f64 (sqrt.f64 13/2) 2))) (+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 (pow.f64 (sqrt.f64 13/2) 2))) (+.f64 (.f64 (-.f64 (/.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 (pow.f64 (sqrt.f64 13/2) 2))) (/.f64 (sqrt.f64 2/13) (exp.f64 (pow.f64 (sqrt.f64 13/2) 2)))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 13/2) (-.f64 (.f64 2 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 3))))) (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2)))))) 1/2))) (/.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 (pow.f64 (sqrt.f64 13/2) 2))))))) (pow.f64 z 3)) (+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 (pow.f64 (sqrt.f64 13/2) 2))) (.f64 (-.f64 (+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 (pow.f64 (sqrt.f64 13/2) 2))) (/.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 (pow.f64 (sqrt.f64 13/2) 2)))) (+.f64 (/.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 (pow.f64 (sqrt.f64 13/2) 2))) (/.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 13/2) (-.f64 (.f64 2 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 3))))) (*.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2)))))) 1/2)) (sqrt.f64 2/13)) (exp.f64 (pow.f64 (sqrt.f64 13/2) 2))))) (pow.f64 z 2)))))
(exp.f64 (sqrt.f64 13/2))
(+.f64 (.f64 1/2 (/.f64 (.f64 z (exp.f64 (sqrt.f64 13/2))) (sqrt.f64 13/2))) (exp.f64 (sqrt.f64 13/2)))
(+.f64 (.f64 1/2 (/.f64 (.f64 z (exp.f64 (sqrt.f64 13/2))) (sqrt.f64 13/2))) (+.f64 (.f64 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 3)))) (.f64 (pow.f64 z 2) (exp.f64 (sqrt.f64 13/2)))) (exp.f64 (sqrt.f64 13/2))))
(+.f64 (.f64 1/2 (/.f64 (.f64 z (exp.f64 (sqrt.f64 13/2))) (sqrt.f64 13/2))) (+.f64 (.f64 (pow.f64 z 3) (.f64 (exp.f64 (sqrt.f64 13/2)) (-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 5))) (.f64 1/48 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 3)))) (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 4)))))) (+.f64 (.f64 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 3)))) (*.f64 (pow.f64 z 2) (exp.f64 (sqrt.f64 13/2)))) (exp.f64 (sqrt.f64 13/2)))))

Outputs
(exp.f64 (pow.f64 (sqrt.f64 13/2) 2))
(exp.f64 13/2)
(+.f64 (exp.f64 (pow.f64 (sqrt.f64 13/2) 2)) (*.f64 (exp.f64 (pow.f64 (sqrt.f64 13/2) 2)) z))
(*.f64 (+.f64 z 1) (exp.f64 13/2))
(*.f64 (exp.f64 13/2) (+.f64 z 1))
(+.f64 (exp.f64 (pow.f64 (sqrt.f64 13/2) 2)) (+.f64 (.f64 (exp.f64 (pow.f64 (sqrt.f64 13/2) 2)) (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 13/2) (-.f64 (.f64 2 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 3))))) (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2)))))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2))) 1/2)) (pow.f64 z 2))) (.f64 (exp.f64 (pow.f64 (sqrt.f64 13/2) 2)) z)))
(+.f64 (exp.f64 (pow.f64 (sqrt.f64 13/2) 2)) (.f64 (exp.f64 (pow.f64 (sqrt.f64 13/2) 2)) (+.f64 (.f64 (fma.f64 1/2 (.f64 (sqrt.f64 13/2) (-.f64 (.f64 2 (-.f64 (/.f64 1/8 (pow.f64 (sqrt.f64 13/2) 2)) (/.f64 1/8 (pow.f64 (sqrt.f64 13/2) 3)))) (/.f64 1/4 (pow.f64 (sqrt.f64 13/2) 2)))) (+.f64 1/2 (/.f64 1/8 (pow.f64 (sqrt.f64 13/2) 2)))) (*.f64 z z)) z)))
(fma.f64 (exp.f64 13/2) (fma.f64 (fma.f64 (.f64 (sqrt.f64 13/2) 1/2) (fma.f64 2 (-.f64 1/52 (/.f64 1/52 (sqrt.f64 13/2))) -1/26) 27/52) (.f64 z z) z) (exp.f64 13/2))
(fma.f64 (exp.f64 13/2) (fma.f64 z (.f64 z (fma.f64 (+.f64 0 (/.f64 -1/26 (sqrt.f64 13/2))) (.f64 (sqrt.f64 13/2) 1/2) 27/52)) z) (exp.f64 13/2))
(+.f64 (exp.f64 (pow.f64 (sqrt.f64 13/2) 2)) (+.f64 (.f64 (exp.f64 (pow.f64 (sqrt.f64 13/2) 2)) (.f64 (pow.f64 z 3) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 13/2) (-.f64 (.f64 2 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 3))))) (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2)))))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2))) (+.f64 1/6 (+.f64 (.f64 1/4 (/.f64 (-.f64 (.f64 2 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 3))))) (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2)))) (sqrt.f64 13/2))) (.f64 1/6 (.f64 (sqrt.f64 13/2) (+.f64 (.f64 -3 (/.f64 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 3)))) (sqrt.f64 13/2))) (+.f64 (.f64 6 (-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 5))) (.f64 1/48 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 3)))) (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 4))))) (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 3))))))))))))) (+.f64 (.f64 (exp.f64 (pow.f64 (sqrt.f64 13/2) 2)) (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 13/2) (-.f64 (.f64 2 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 3))))) (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2)))))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2))) 1/2)) (pow.f64 z 2))) (.f64 (exp.f64 (pow.f64 (sqrt.f64 13/2) 2)) z))))
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(+.f64 (exp.f64 13/2) (.f64 (exp.f64 13/2) (+.f64 (fma.f64 (fma.f64 (.f64 (sqrt.f64 13/2) 1/2) (fma.f64 2 (-.f64 1/52 (/.f64 1/52 (sqrt.f64 13/2))) -1/26) 27/52) (.f64 z z) z) (.f64 (pow.f64 z 3) (fma.f64 1/2 (.f64 (sqrt.f64 13/2) (fma.f64 2 (-.f64 1/52 (/.f64 1/52 (sqrt.f64 13/2))) -1/26)) (+.f64 (fma.f64 1/4 (/.f64 (fma.f64 2 (-.f64 1/52 (/.f64 1/52 (sqrt.f64 13/2))) -1/26) (sqrt.f64 13/2)) (.f64 (sqrt.f64 13/2) (*.f64 (fma.f64 -3 (+.f64 (/.f64 1/52 (sqrt.f64 13/2)) -1/338) (fma.f64 6 (+.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 13/2) 5)) (+.f64 (/.f64 1/312 (sqrt.f64 13/2)) -1/676)) (/.f64 1/26 (sqrt.f64 13/2)))) 1/6))) 29/156))))))
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(fma.f64 z (-.f64 (.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (log.f64 13/2) -1/13)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (fma.f64 z (.f64 z (-.f64 (fma.f64 (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (exp.f64 13/2)) (sqrt.f64 2/13) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (.f64 (sqrt.f64 2/13) (+.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (/.f64 (fma.f64 (+.f64 0 (/.f64 -1/26 (sqrt.f64 13/2))) (.f64 (sqrt.f64 13/2) 1/2) 27/52) (exp.f64 13/2)))))) (fma.f64 (pow.f64 z 3) (-.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 0 (/.f64 -1/26 (sqrt.f64 13/2))) (.f64 (sqrt.f64 13/2) 1/2) 27/52) (exp.f64 13/2)) (sqrt.f64 2/13) (.f64 (sqrt.f64 2/13) (+.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (exp.f64 13/2)) (/.f64 (fma.f64 1/6 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 3) (+.f64 (.f64 (log.f64 13/2) 27/169) -163/6591)) (exp.f64 13/2))))) (fma.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (+.f64 (.f64 (/.f64 1/4 (sqrt.f64 13/2)) (+.f64 0 (/.f64 -1/26 (sqrt.f64 13/2)))) 29/156) (.f64 (sqrt.f64 13/2) (+.f64 (.f64 1/6 (fma.f64 -3 (+.f64 (/.f64 1/52 (sqrt.f64 13/2)) -1/338) (fma.f64 6 (+.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 13/2) 5)) (+.f64 (/.f64 1/312 (sqrt.f64 13/2)) -1/676)) (/.f64 1/26 (sqrt.f64 13/2))))) (.f64 1/2 (+.f64 0 (/.f64 -1/26 (sqrt.f64 13/2))))))) (fma.f64 (fma.f64 (+.f64 0 (/.f64 -1/26 (sqrt.f64 13/2))) (.f64 (sqrt.f64 13/2) 1/2) 27/52) (-.f64 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (log.f64 13/2) -1/13)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (fma.f64 (/.f64 (fma.f64 1/2 (pow.f64 (+.f64 (log.f64 13/2) -1/13) 2) 27/169) (exp.f64 13/2)) (sqrt.f64 2/13) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))
(exp.f64 (sqrt.f64 13/2))
(+.f64 (.f64 1/2 (/.f64 (.f64 z (exp.f64 (sqrt.f64 13/2))) (sqrt.f64 13/2))) (exp.f64 (sqrt.f64 13/2)))
(fma.f64 1/2 (/.f64 (*.f64 z (exp.f64 (sqrt.f64 13/2))) (sqrt.f64 13/2)) (exp.f64 (sqrt.f64 13/2)))
(fma.f64 1/2 (*.f64 (/.f64 z (sqrt.f64 13/2)) (exp.f64 (sqrt.f64 13/2))) (exp.f64 (sqrt.f64 13/2)))
(fma.f64 1/2 (*.f64 (exp.f64 (sqrt.f64 13/2)) (/.f64 z (sqrt.f64 13/2))) (exp.f64 (sqrt.f64 13/2)))
(+.f64 (.f64 1/2 (/.f64 (.f64 z (exp.f64 (sqrt.f64 13/2))) (sqrt.f64 13/2))) (+.f64 (.f64 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 3)))) (.f64 (pow.f64 z 2) (exp.f64 (sqrt.f64 13/2)))) (exp.f64 (sqrt.f64 13/2))))
(fma.f64 1/2 (/.f64 (.f64 z (exp.f64 (sqrt.f64 13/2))) (sqrt.f64 13/2)) (fma.f64 (-.f64 (/.f64 1/8 (pow.f64 (sqrt.f64 13/2) 2)) (/.f64 1/8 (pow.f64 (sqrt.f64 13/2) 3))) (.f64 (*.f64 z z) (exp.f64 (sqrt.f64 13/2))) (exp.f64 (sqrt.f64 13/2))))
(fma.f64 1/2 (.f64 (/.f64 z (sqrt.f64 13/2)) (exp.f64 (sqrt.f64 13/2))) (.f64 (+.f64 (.f64 (-.f64 1/52 (/.f64 1/52 (sqrt.f64 13/2))) (.f64 z z)) 1) (exp.f64 (sqrt.f64 13/2))))
(fma.f64 (fma.f64 (+.f64 1/52 (/.f64 -1/52 (sqrt.f64 13/2))) (.f64 z z) 1) (exp.f64 (sqrt.f64 13/2)) (.f64 1/2 (*.f64 (exp.f64 (sqrt.f64 13/2)) (/.f64 z (sqrt.f64 13/2)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 z (exp.f64 (sqrt.f64 13/2))) (sqrt.f64 13/2))) (+.f64 (.f64 (pow.f64 z 3) (.f64 (exp.f64 (sqrt.f64 13/2)) (-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 5))) (.f64 1/48 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 3)))) (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 4)))))) (+.f64 (.f64 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 2))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 13/2) 3)))) (*.f64 (pow.f64 z 2) (exp.f64 (sqrt.f64 13/2)))) (exp.f64 (sqrt.f64 13/2)))))
(fma.f64 1/2 (/.f64 (.f64 z (exp.f64 (sqrt.f64 13/2))) (sqrt.f64 13/2)) (fma.f64 (pow.f64 z 3) (.f64 (+.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 13/2) 5)) (-.f64 (/.f64 1/48 (pow.f64 (sqrt.f64 13/2) 3)) (/.f64 1/16 (pow.f64 (sqrt.f64 13/2) 4)))) (exp.f64 (sqrt.f64 13/2))) (fma.f64 (-.f64 (/.f64 1/8 (pow.f64 (sqrt.f64 13/2) 2)) (/.f64 1/8 (pow.f64 (sqrt.f64 13/2) 3))) (.f64 (.f64 z z) (exp.f64 (sqrt.f64 13/2))) (exp.f64 (sqrt.f64 13/2)))))
(fma.f64 1/2 (.f64 (/.f64 z (sqrt.f64 13/2)) (exp.f64 (sqrt.f64 13/2))) (fma.f64 (pow.f64 z 3) (.f64 (+.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 13/2) 5)) (+.f64 (/.f64 1/312 (sqrt.f64 13/2)) -1/676)) (exp.f64 (sqrt.f64 13/2))) (.f64 (+.f64 (.f64 (-.f64 1/52 (/.f64 1/52 (sqrt.f64 13/2))) (*.f64 z z)) 1) (exp.f64 (sqrt.f64 13/2)))))
(fma.f64 1/2 (.f64 (exp.f64 (sqrt.f64 13/2)) (/.f64 z (sqrt.f64 13/2))) (.f64 (exp.f64 (sqrt.f64 13/2)) (+.f64 (fma.f64 (+.f64 1/52 (/.f64 -1/52 (sqrt.f64 13/2))) (.f64 z z) 1) (.f64 (pow.f64 z 3) (+.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 13/2) 5)) (+.f64 (/.f64 1/312 (sqrt.f64 13/2)) -1/676))))))

eval2.0s (6%)

Compiler: Compiled 65318 to 54788 computations (16.1% saved)

prune1.0s (3%)

Pruning

129 alts after pruning (123 fresh and 6 done)

	Pruned	Kept	Total
New	753	33	786
Fresh	12	90	102
Picked	0	1	1
Done	4	5	9
Total	769	129	898

Error

0.3b

Counts

898 → 129

Alt Table

Click to see full alt table

Status	Error	Program
	5.1b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (cbrt.f64 (exp.f64 (.f64 3 (+.f64 z 13/2)))))))
	4.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (/.f64 (pow.f64 (+.f64 z 13/2) z) (sqrt.f64 (exp.f64 (+.f64 z 13/2)))) (/.f64 (pow.f64 (+.f64 z 13/2) -1/2) (sqrt.f64 (exp.f64 (+.f64 z 13/2)))))))
	4.6b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (+.f64 (.f64 (fma.f64 -3147848041806007/2500000000000 (+.f64 z 2) (.f64 (+.f64 z 1) 7713234287776531/10000000000000)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (.f64 (.f64 (+.f64 z 1) (+.f64 z 2)) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z))))) (.f64 (.f64 (+.f64 z 1) (+.f64 z 2)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (pow.f64 (+.f64 z 13/2) z) (.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 (-.f64 (neg.f64 z) 13/2))))))
	4.5b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (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))))
✓	4.5b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2)))))))
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	4.3b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 3)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (*.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
	4.1b	(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (.f64 (.f64 (-.f64 z -1) -2500000000000/3147848041806007) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z))))) (.f64 (.f64 (-.f64 z -1) -2500000000000/3147848041806007) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	4.5b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 1 (/.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) 2) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
	5.0b	(.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) 3) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
	4.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 1 (neg.f64 (exp.f64 (+.f64 z 13/2)))))))
✓	4.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (+.f64 (.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z))))) (*.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))

Compiler

Compiled 21326 to 18096 computations (15.1% saved)

localize433.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
	1.0b	(sqrt.f64 (PI.f64))
	1.1b	(exp.f64 (-.f64 -13/2 z))
	1.7b	(/.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 2)) (cbrt.f64 (exp.f64 (-.f64 -13/2 z)))) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z)))

Compiler

Compiled 650 to 543 computations (16.5% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite70.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

331×	`pow1_binary64`
320×	`add-sqr-sqrt_binary64`
312×	`*-un-lft-identity_binary64`
308×	`add-log-exp_binary64`
308×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	4
1	78	4
2	873	4

Stop Event

1×	node limit

Counts

1 → 63

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 3) (+.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 2) (+.f64 1 (+.f64 (sqrt.f64 (PI.f64)) 1)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 2) (+.f64 1 (+.f64 (sqrt.f64 (PI.f64)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 2) (+.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 1)) (/.f64 1 (+.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (cbrt.f64 (pow.f64 (PI.f64) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (pow.f64 (PI.f64) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (pow.f64 (pow.f64 (PI.f64) 5/6) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 1/8) (sqrt.f64 (pow.f64 (PI.f64) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 1/8) (pow.f64 (pow.f64 (PI.f64) 3/4) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 1/6) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 2) (+.f64 1 (+.f64 (sqrt.f64 (PI.f64)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 2) -1) (/.f64 1 (+.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/4)) (pow.f64 (sqrt.f64 (PI.f64)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/4)) (pow.f64 (PI.f64) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (PI.f64) 5/6)) (pow.f64 (sqrt.f64 (PI.f64)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (PI.f64) 3/4) 1/2) (pow.f64 (PI.f64) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (PI.f64) 5/6) 1/2) (pow.f64 (sqrt.f64 (PI.f64)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 1/3) (cbrt.f64 (pow.f64 (PI.f64) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (PI.f64) 5/4) 1/3) (pow.f64 (sqrt.f64 (PI.f64)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 2) (+.f64 1 (+.f64 (sqrt.f64 (PI.f64)) 1))) (+.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 1) (+.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 2) (+.f64 1 (+.f64 (sqrt.f64 (PI.f64)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 2) (-.f64 1 (*.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 2) -1) (+.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 2) -1) (-.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 3) -1)) (fabs.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 2) (+.f64 1 (+.f64 (sqrt.f64 (PI.f64)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 2) -1)) (fabs.f64 (+.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 2) (+.f64 1 (+.f64 (sqrt.f64 (PI.f64)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 2) -1)) (neg.f64 (+.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (PI.f64) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (PI.f64)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (PI.f64))))) (sqrt.f64 (log.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (PI.f64))) 2))) (cbrt.f64 (log.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 1 (+.f64 (sqrt.f64 (PI.f64)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (PI.f64) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (PI.f64))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (sqrt.f64 (PI.f64)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (PI.f64)) 1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (PI.f64)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 (PI.f64) 1/4)) (hypot.f64 1 (pow.f64 (PI.f64) 1/4)) -1)))))

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

63 → 63

Calls

Call 1

Inputs

Outputs

localize198.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))
✓	0.5b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.0b	(/.f64 (sqrt.f64 2/13) (exp.f64 13/2))

Compiler

Compiled 238 to 201 computations (15.5% saved)

series25.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	z	@	0	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
3.0ms	z	@	inf	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
2.0ms	z	@	-inf	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
1.0ms	z	@	inf	(/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))
1.0ms	z	@	0	(/.f64 2496092394504893/250000000000000000000 (+.f64 z 6))

rewrite98.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	63
1	868	63

Stop Event

1×	node limit

Counts

2 → 18

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify130.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

42 → 48

Calls

Call 1

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

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

localize289.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.8b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.1b	(exp.f64 (-.f64 -13/2 z))
✓	2.4b	(.f64 (pow.f64 (+.f64 z 13/2) z) (.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 (-.f64 -13/2 z))))

Compiler

Compiled 427 to 344 computations (19.4% saved)

series2.0ms (0%)

Counts

1 → 4

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

1.0ms

-inf

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

1.0ms

inf

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

rewrite67.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

594×	`log-prod_binary64`
393×	`pow-prod-down_binary64`
340×	`pow2_binary64`
259×	`pow-unpow_binary64`
234×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	24
1	271	18
2	3400	18

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

Outputs

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

simplify54.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

486×	`fma-def_binary64`
374×	`associate-*l/_binary64`
338×	`associate-/l*_binary64`
284×	`times-frac_binary64`
277×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	503
1	247	463
2	879	419
3	4625	365

Stop Event

1×	node limit

Counts

22 → 25

Calls

Call 1

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

Outputs
(*.f64 (sqrt.f64 2/13) (exp.f64 -13/2))
(+.f64 (.f64 z (+.f64 (.f64 (+.f64 (.f64 -1 (exp.f64 -13/2)) (.f64 (exp.f64 -13/2) (log.f64 13/2))) (sqrt.f64 2/13)) (.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13))))) (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))
(fma.f64 z (fma.f64 (fma.f64 -1 (exp.f64 -13/2) (.f64 (exp.f64 -13/2) (log.f64 13/2))) (sqrt.f64 2/13) (.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))
(fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 z (fma.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (+.f64 -1 (log.f64 13/2))) (*.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13))))))
(fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 z (fma.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) (.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 -1 (log.f64 13/2))))))
(fma.f64 z (fma.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (+.f64 -1 (log.f64 13/2))) (.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)))) (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))
(+.f64 (.f64 z (+.f64 (.f64 (+.f64 (.f64 -1 (exp.f64 -13/2)) (.f64 (exp.f64 -13/2) (log.f64 13/2))) (sqrt.f64 2/13)) (.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13))))) (+.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (.f64 (+.f64 (.f64 (+.f64 (.f64 1/2 (exp.f64 -13/2)) (+.f64 (.f64 -1 (.f64 (exp.f64 -13/2) (log.f64 13/2))) (.f64 (+.f64 2/13 (.f64 1/2 (pow.f64 (log.f64 13/2) 2))) (exp.f64 -13/2)))) (sqrt.f64 2/13)) (+.f64 (.f64 -2/169 (/.f64 (+.f64 (.f64 -1 (exp.f64 -13/2)) (.f64 (exp.f64 -13/2) (log.f64 13/2))) (sqrt.f64 2/13))) (.f64 1/2 (/.f64 (.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) (exp.f64 -13/2)) (sqrt.f64 2/13))))) (pow.f64 z 2))))
(fma.f64 z (fma.f64 (fma.f64 -1 (exp.f64 -13/2) (.f64 (exp.f64 -13/2) (log.f64 13/2))) (sqrt.f64 2/13) (.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)))) (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 (fma.f64 (fma.f64 1/2 (exp.f64 -13/2) (fma.f64 -1 (.f64 (exp.f64 -13/2) (log.f64 13/2)) (.f64 (exp.f64 -13/2) (+.f64 2/13 (.f64 1/2 (pow.f64 (log.f64 13/2) 2)))))) (sqrt.f64 2/13) (fma.f64 -2/169 (/.f64 (fma.f64 -1 (exp.f64 -13/2) (.f64 (exp.f64 -13/2) (log.f64 13/2))) (sqrt.f64 2/13)) (.f64 1/2 (/.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (*.f64 z z))))
(fma.f64 z (fma.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (+.f64 -1 (log.f64 13/2))) (.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)))) (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 (fma.f64 (sqrt.f64 2/13) (fma.f64 (exp.f64 -13/2) 1/2 (-.f64 (.f64 (exp.f64 -13/2) (fma.f64 1/2 (pow.f64 (log.f64 13/2) 2) 2/13)) (.f64 (exp.f64 -13/2) (log.f64 13/2)))) (fma.f64 -2/169 (/.f64 (.f64 (exp.f64 -13/2) (+.f64 -1 (log.f64 13/2))) (sqrt.f64 2/13)) (.f64 1/2 (/.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (.f64 z z))))
(fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 z (+.f64 (.f64 z (fma.f64 (sqrt.f64 2/13) (fma.f64 (exp.f64 -13/2) 1/2 (.f64 (exp.f64 -13/2) (-.f64 (fma.f64 1/2 (pow.f64 (log.f64 13/2) 2) 2/13) (log.f64 13/2)))) (fma.f64 -2/169 (/.f64 (exp.f64 -13/2) (/.f64 (sqrt.f64 2/13) (+.f64 -1 (log.f64 13/2)))) (.f64 1/2 (.f64 (exp.f64 -13/2) (-.f64 (/.f64 8/2197 (sqrt.f64 2/13)) (/.f64 (/.f64 4/28561 (sqrt.f64 2/13)) 2/13))))))) (fma.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) (.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 -1 (log.f64 13/2)))))))
(fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 z (+.f64 (.f64 z (fma.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (+.f64 (fma.f64 1/2 (pow.f64 (log.f64 13/2) 2) 2/13) (-.f64 1/2 (log.f64 13/2)))) (fma.f64 -2/169 (.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) (+.f64 -1 (log.f64 13/2))) (.f64 (/.f64 3/2197 (sqrt.f64 2/13)) (exp.f64 -13/2))))) (fma.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (+.f64 -1 (log.f64 13/2))) (*.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)))))))
(+.f64 (.f64 z (+.f64 (.f64 (+.f64 (.f64 -1 (exp.f64 -13/2)) (.f64 (exp.f64 -13/2) (log.f64 13/2))) (sqrt.f64 2/13)) (.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13))))) (+.f64 (.f64 (pow.f64 z 3) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 16/28561 (.f64 -2/169 (/.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) (pow.f64 (sqrt.f64 2/13) 2)))) (exp.f64 -13/2)) (sqrt.f64 2/13))) (+.f64 (.f64 -2/169 (/.f64 (+.f64 (.f64 1/2 (exp.f64 -13/2)) (+.f64 (.f64 -1 (.f64 (exp.f64 -13/2) (log.f64 13/2))) (.f64 (+.f64 2/13 (.f64 1/2 (pow.f64 (log.f64 13/2) 2))) (exp.f64 -13/2)))) (sqrt.f64 2/13))) (+.f64 (.f64 (sqrt.f64 2/13) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/6 (pow.f64 (log.f64 13/2) 3)) (.f64 2/13 (log.f64 13/2))) 2/169) (exp.f64 -13/2)) (+.f64 (.f64 -1/6 (exp.f64 -13/2)) (+.f64 (.f64 -1 (.f64 (+.f64 2/13 (.f64 1/2 (pow.f64 (log.f64 13/2) 2))) (exp.f64 -13/2))) (.f64 1/2 (.f64 (exp.f64 -13/2) (log.f64 13/2))))))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1 (exp.f64 -13/2)) (.f64 (exp.f64 -13/2) (log.f64 13/2))) (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2))) (sqrt.f64 2/13))))))) (+.f64 (.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (.f64 (+.f64 (.f64 (+.f64 (.f64 1/2 (exp.f64 -13/2)) (+.f64 (.f64 -1 (.f64 (exp.f64 -13/2) (log.f64 13/2))) (.f64 (+.f64 2/13 (.f64 1/2 (pow.f64 (log.f64 13/2) 2))) (exp.f64 -13/2)))) (sqrt.f64 2/13)) (+.f64 (.f64 -2/169 (/.f64 (+.f64 (.f64 -1 (exp.f64 -13/2)) (.f64 (exp.f64 -13/2) (log.f64 13/2))) (sqrt.f64 2/13))) (.f64 1/2 (/.f64 (.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) (exp.f64 -13/2)) (sqrt.f64 2/13))))) (pow.f64 z 2)))))
(fma.f64 z (fma.f64 (fma.f64 -1 (exp.f64 -13/2) (.f64 (exp.f64 -13/2) (log.f64 13/2))) (sqrt.f64 2/13) (.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)))) (fma.f64 (pow.f64 z 3) (fma.f64 -1/2 (/.f64 (+.f64 16/28561 (.f64 -2/169 (/.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) (pow.f64 (sqrt.f64 2/13) 2)))) (/.f64 (sqrt.f64 2/13) (exp.f64 -13/2))) (fma.f64 -2/169 (/.f64 (fma.f64 1/2 (exp.f64 -13/2) (fma.f64 -1 (.f64 (exp.f64 -13/2) (log.f64 13/2)) (.f64 (exp.f64 -13/2) (+.f64 2/13 (.f64 1/2 (pow.f64 (log.f64 13/2) 2)))))) (sqrt.f64 2/13)) (fma.f64 (sqrt.f64 2/13) (fma.f64 (+.f64 (fma.f64 1/6 (pow.f64 (log.f64 13/2) 3) (.f64 2/13 (log.f64 13/2))) -2/169) (exp.f64 -13/2) (fma.f64 -1/6 (exp.f64 -13/2) (fma.f64 -1 (.f64 (exp.f64 -13/2) (+.f64 2/13 (.f64 1/2 (pow.f64 (log.f64 13/2) 2)))) (.f64 (.f64 (exp.f64 -13/2) (log.f64 13/2)) 1/2)))) (.f64 1/2 (/.f64 (fma.f64 -1 (exp.f64 -13/2) (.f64 (exp.f64 -13/2) (log.f64 13/2))) (/.f64 (sqrt.f64 2/13) (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)))))))) (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 (fma.f64 (fma.f64 1/2 (exp.f64 -13/2) (fma.f64 -1 (.f64 (exp.f64 -13/2) (log.f64 13/2)) (.f64 (exp.f64 -13/2) (+.f64 2/13 (.f64 1/2 (pow.f64 (log.f64 13/2) 2)))))) (sqrt.f64 2/13) (fma.f64 -2/169 (/.f64 (fma.f64 -1 (exp.f64 -13/2) (.f64 (exp.f64 -13/2) (log.f64 13/2))) (sqrt.f64 2/13)) (.f64 1/2 (/.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (.f64 z z)))))
(fma.f64 z (fma.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (+.f64 -1 (log.f64 13/2))) (.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)))) (fma.f64 (pow.f64 z 3) (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 -2/169 (-.f64 4/169 (/.f64 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2) 2/13)) 16/28561) (sqrt.f64 2/13)) (exp.f64 -13/2)) (fma.f64 -2/169 (/.f64 (fma.f64 (exp.f64 -13/2) 1/2 (-.f64 (.f64 (exp.f64 -13/2) (fma.f64 1/2 (pow.f64 (log.f64 13/2) 2) 2/13)) (.f64 (exp.f64 -13/2) (log.f64 13/2)))) (sqrt.f64 2/13)) (fma.f64 (sqrt.f64 2/13) (+.f64 (fma.f64 (neg.f64 (fma.f64 1/2 (pow.f64 (log.f64 13/2) 2) 2/13)) (exp.f64 -13/2) (.f64 (exp.f64 -13/2) (.f64 1/2 (log.f64 13/2)))) (.f64 (exp.f64 -13/2) (+.f64 (fma.f64 1/6 (pow.f64 (log.f64 13/2) 3) (fma.f64 2/13 (log.f64 13/2) -2/169)) -1/6))) (.f64 1/2 (.f64 (/.f64 (.f64 (exp.f64 -13/2) (+.f64 -1 (log.f64 13/2))) (sqrt.f64 2/13)) (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2))))))) (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 (fma.f64 (sqrt.f64 2/13) (fma.f64 (exp.f64 -13/2) 1/2 (-.f64 (.f64 (exp.f64 -13/2) (fma.f64 1/2 (pow.f64 (log.f64 13/2) 2) 2/13)) (.f64 (exp.f64 -13/2) (log.f64 13/2)))) (fma.f64 -2/169 (/.f64 (.f64 (exp.f64 -13/2) (+.f64 -1 (log.f64 13/2))) (sqrt.f64 2/13)) (.f64 1/2 (/.f64 (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2)) (/.f64 (sqrt.f64 2/13) (exp.f64 -13/2)))))) (*.f64 z z)))))
(fma.f64 (pow.f64 z 3) (+.f64 (.f64 (/.f64 -5/28561 (sqrt.f64 2/13)) (exp.f64 -13/2)) (fma.f64 (sqrt.f64 2/13) (fma.f64 (exp.f64 -13/2) (fma.f64 2/13 (log.f64 13/2) (fma.f64 1/6 (pow.f64 (log.f64 13/2) 3) -2/169)) (.f64 (exp.f64 -13/2) (+.f64 (+.f64 -25/78 (.f64 (pow.f64 (log.f64 13/2) 2) -1/2)) (.f64 (log.f64 13/2) 1/2)))) (fma.f64 -2/169 (/.f64 (fma.f64 (exp.f64 -13/2) 1/2 (.f64 (exp.f64 -13/2) (-.f64 (fma.f64 1/2 (pow.f64 (log.f64 13/2) 2) 2/13) (log.f64 13/2)))) (sqrt.f64 2/13)) (.f64 1/2 (/.f64 (.f64 (.f64 (exp.f64 -13/2) (-.f64 8/2197 (pow.f64 (/.f64 -2/169 (sqrt.f64 2/13)) 2))) (+.f64 -1 (log.f64 13/2))) (sqrt.f64 2/13)))))) (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 z (+.f64 (.f64 z (fma.f64 (sqrt.f64 2/13) (fma.f64 (exp.f64 -13/2) 1/2 (.f64 (exp.f64 -13/2) (-.f64 (fma.f64 1/2 (pow.f64 (log.f64 13/2) 2) 2/13) (log.f64 13/2)))) (fma.f64 -2/169 (/.f64 (exp.f64 -13/2) (/.f64 (sqrt.f64 2/13) (+.f64 -1 (log.f64 13/2)))) (.f64 1/2 (.f64 (exp.f64 -13/2) (-.f64 (/.f64 8/2197 (sqrt.f64 2/13)) (/.f64 (/.f64 4/28561 (sqrt.f64 2/13)) 2/13))))))) (fma.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) (.f64 (*.f64 (sqrt.f64 2/13) (exp.f64 -13/2)) (+.f64 -1 (log.f64 13/2))))))))
(fma.f64 (pow.f64 z 3) (+.f64 (.f64 (/.f64 -5/28561 (sqrt.f64 2/13)) (exp.f64 -13/2)) (fma.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (+.f64 (+.f64 -25/78 (.f64 (pow.f64 (log.f64 13/2) 2) -1/2)) (+.f64 (.f64 (log.f64 13/2) 1/2) (fma.f64 2/13 (log.f64 13/2) (fma.f64 1/6 (pow.f64 (log.f64 13/2) 3) -2/169))))) (fma.f64 -2/169 (/.f64 (.f64 (exp.f64 -13/2) (+.f64 (fma.f64 1/2 (pow.f64 (log.f64 13/2) 2) 2/13) (-.f64 1/2 (log.f64 13/2)))) (sqrt.f64 2/13)) (.f64 (.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) (+.f64 -1 (log.f64 13/2))) 3/2197)))) (fma.f64 (sqrt.f64 2/13) (exp.f64 -13/2) (.f64 z (+.f64 (.f64 z (fma.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (+.f64 (fma.f64 1/2 (pow.f64 (log.f64 13/2) 2) 2/13) (-.f64 1/2 (log.f64 13/2)))) (fma.f64 -2/169 (.f64 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13)) (+.f64 -1 (log.f64 13/2))) (.f64 (/.f64 3/2197 (sqrt.f64 2/13)) (exp.f64 -13/2))))) (fma.f64 (sqrt.f64 2/13) (.f64 (exp.f64 -13/2) (+.f64 -1 (log.f64 13/2))) (.f64 -2/169 (/.f64 (exp.f64 -13/2) (sqrt.f64 2/13))))))))

localize189.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))
	0.8b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	2.9b	(exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))

Compiler

Compiled 453 to 367 computations (19% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite96.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 187

Calls

Call 1

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

Outputs

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simplify68.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

211 → 218

Calls

Call 1

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

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

localize221.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	2.4b	(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (pow.f64 (exp.f64 1) (fma.f64 z z -169/4)) (/.f64 1 (-.f64 z 13/2))))
✓	2.4b	(pow.f64 (exp.f64 1) (fma.f64 z z -169/4))
✓	24.8b	(pow.f64 (pow.f64 (exp.f64 1) (fma.f64 z z -169/4)) (/.f64 1 (-.f64 z 13/2)))

Compiler

Compiled 459 to 368 computations (19.8% saved)

series10.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite90.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

763×	`log-prod_binary64`
426×	`prod-diff_binary64`
305×	`expm1-udef_binary64`
305×	`log1p-udef_binary64`
279×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	51
1	367	31
2	4754	31

Stop Event

1×	node limit

Counts

3 → 85

Calls

Call 1

Inputs

(pow.f64 (pow.f64 (exp.f64 1) (fma.f64 z z -169/4)) (/.f64 1 (-.f64 z 13/2)))

(pow.f64 (exp.f64 1) (fma.f64 z z -169/4))

(/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (pow.f64 (pow.f64 (exp.f64 1) (fma.f64 z z -169/4)) (/.f64 1 (-.f64 z 13/2))))

Outputs

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

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

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

simplify66.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

593×	`times-frac_binary64`
586×	`associate-l_binary64`
562×	`associate-r_binary64`
442×	`distribute-rgt-in_binary64`
433×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	181	1757
1	552	1659
2	2111	1442

Stop Event

1×	node limit

Counts

121 → 127

Calls

Call 1

Inputs
(exp.f64 13/2)
(+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z))
(+.f64 (.f64 1/2 (.f64 (exp.f64 13/2) (pow.f64 z 2))) (+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z)))
(+.f64 (.f64 1/2 (.f64 (exp.f64 13/2) (pow.f64 z 2))) (+.f64 (exp.f64 13/2) (+.f64 (.f64 1/6 (.f64 (exp.f64 13/2) (pow.f64 z 3))) (*.f64 (exp.f64 13/2) z))))
1
(+.f64 1 (/.f64 (fma.f64 z z -169/4) z))
(+.f64 1 (+.f64 (/.f64 (fma.f64 z z -169/4) z) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (fma.f64 z z -169/4) 2) (pow.f64 z 2))) (.f64 13/2 (/.f64 (fma.f64 z z -169/4) (pow.f64 z 2))))))
(+.f64 1 (+.f64 (/.f64 (fma.f64 z z -169/4) z) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (fma.f64 z z -169/4) 3) (pow.f64 z 3))) (+.f64 (.f64 169/4 (/.f64 (fma.f64 z z -169/4) (pow.f64 z 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (fma.f64 z z -169/4) 2) (pow.f64 z 2))) (+.f64 (.f64 13/2 (/.f64 (pow.f64 (fma.f64 z z -169/4) 2) (pow.f64 z 3))) (*.f64 13/2 (/.f64 (fma.f64 z z -169/4) (pow.f64 z 2)))))))))
1
(+.f64 1 (/.f64 (fma.f64 z z -169/4) z))
(+.f64 1 (+.f64 (/.f64 (fma.f64 z z -169/4) z) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (fma.f64 z z -169/4) 2) (pow.f64 z 2))) (.f64 13/2 (/.f64 (fma.f64 z z -169/4) (pow.f64 z 2))))))
(+.f64 1 (+.f64 (/.f64 (fma.f64 z z -169/4) z) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -13/2 (pow.f64 (fma.f64 z z -169/4) 2)) (+.f64 (.f64 -1/6 (pow.f64 (fma.f64 z z -169/4) 3)) (.f64 -169/4 (fma.f64 z z -169/4)))) (pow.f64 z 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (fma.f64 z z -169/4) 2) (pow.f64 z 2))) (.f64 13/2 (/.f64 (fma.f64 z z -169/4) (pow.f64 z 2)))))))
(exp.f64 -169/4)
(+.f64 (exp.f64 -169/4) (*.f64 (exp.f64 -169/4) (pow.f64 z 2)))
(+.f64 (exp.f64 -169/4) (+.f64 (.f64 (exp.f64 -169/4) (pow.f64 z 2)) (.f64 1/2 (*.f64 (exp.f64 -169/4) (pow.f64 z 4)))))
(+.f64 (.f64 1/6 (.f64 (exp.f64 -169/4) (pow.f64 z 6))) (+.f64 (exp.f64 -169/4) (+.f64 (.f64 (exp.f64 -169/4) (pow.f64 z 2)) (.f64 1/2 (*.f64 (exp.f64 -169/4) (pow.f64 z 4))))))
(exp.f64 (fma.f64 z z -169/4))
(exp.f64 (fma.f64 z z -169/4))
(exp.f64 (fma.f64 z z -169/4))
(exp.f64 (fma.f64 z z -169/4))
(exp.f64 (fma.f64 z z -169/4))
(exp.f64 (fma.f64 z z -169/4))
(exp.f64 (fma.f64 z z -169/4))
(exp.f64 (fma.f64 z z -169/4))
(/.f64 (sqrt.f64 2/13) (exp.f64 13/2))
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (.f64 (-.f64 (/.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z))
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)))) (pow.f64 z 2)) (.f64 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z)))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (/.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (.f64 (-.f64 (+.f64 (.f64 27/169 (-.f64 (log.f64 13/2) 1/13)) (.f64 1/6 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 3))) 82/6591) (sqrt.f64 2/13)) (exp.f64 13/2)))) (+.f64 (.f64 1/2 (-.f64 (/.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))) (+.f64 (/.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 13/2)) (+.f64 (.f64 1/6 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))) (pow.f64 z 3)) (+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)))) (pow.f64 z 2)) (.f64 (-.f64 (/.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z))))
(pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))
(+.f64 (.f64 -1 (/.f64 (.f64 (fma.f64 z z -169/4) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) z)) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (fma.f64 z z -169/4) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) z)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 (.f64 13/2 (fma.f64 z z -169/4)) (.f64 1/2 (pow.f64 (fma.f64 z z -169/4) 2))) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (.f64 -1 (.f64 (pow.f64 (fma.f64 z z -169/4) 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))))) (pow.f64 z 2))) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (fma.f64 z z -169/4) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) z)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 (+.f64 (.f64 13/2 (fma.f64 z z -169/4)) (.f64 1/2 (pow.f64 (fma.f64 z z -169/4) 2))) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (.f64 -1 (.f64 (pow.f64 (fma.f64 z z -169/4) 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))))) (fma.f64 z z -169/4))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 13/2 (fma.f64 z z -169/4)) (.f64 1/2 (pow.f64 (fma.f64 z z -169/4) 2))) (.f64 (fma.f64 z z -169/4) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))))) (.f64 (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)) (+.f64 (.f64 13/2 (pow.f64 (fma.f64 z z -169/4) 2)) (+.f64 (.f64 169/4 (fma.f64 z z -169/4)) (.f64 1/6 (pow.f64 (fma.f64 z z -169/4) 3))))))) (pow.f64 z 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 (.f64 13/2 (fma.f64 z z -169/4)) (.f64 1/2 (pow.f64 (fma.f64 z z -169/4) 2))) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))) (.f64 -1 (*.f64 (pow.f64 (fma.f64 z z -169/4) 2) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))))) (pow.f64 z 2))) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2)))))
(exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2))))
(+.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (fma.f64 z z -169/4)) z)))
(+.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (fma.f64 z z -169/4)) z)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (pow.f64 (fma.f64 z z -169/4) 2))) (.f64 (+.f64 (.f64 13/2 (fma.f64 z z -169/4)) (.f64 1/2 (pow.f64 (fma.f64 z z -169/4) 2))) (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))))) (pow.f64 z 2)))))
(+.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (fma.f64 z z -169/4)) z)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 13/2 (fma.f64 z z -169/4)) (.f64 1/2 (pow.f64 (fma.f64 z z -169/4) 2))) (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (fma.f64 z z -169/4))) (pow.f64 z 3)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (pow.f64 (fma.f64 z z -169/4) 2))) (.f64 (+.f64 (.f64 13/2 (fma.f64 z z -169/4)) (.f64 1/2 (pow.f64 (fma.f64 z z -169/4) 2))) (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))))) (pow.f64 z 2))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (pow.f64 (fma.f64 z z -169/4) 2))) (.f64 (+.f64 (.f64 13/2 (fma.f64 z z -169/4)) (.f64 1/2 (pow.f64 (fma.f64 z z -169/4) 2))) (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))))) (fma.f64 z z -169/4)) (pow.f64 z 3)) (/.f64 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (+.f64 (.f64 -13/2 (pow.f64 (fma.f64 z z -169/4) 2)) (+.f64 (.f64 -1/6 (pow.f64 (fma.f64 z z -169/4) 3)) (.f64 -169/4 (fma.f64 z z -169/4))))) (pow.f64 z 3)))))))

Outputs
(exp.f64 13/2)
(+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z))
(*.f64 (+.f64 z 1) (exp.f64 13/2))
(+.f64 (.f64 1/2 (.f64 (exp.f64 13/2) (pow.f64 z 2))) (+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z)))
(fma.f64 1/2 (.f64 (exp.f64 13/2) (.f64 z z)) (+.f64 (exp.f64 13/2) (*.f64 (exp.f64 13/2) z)))
(fma.f64 1/2 (.f64 (exp.f64 13/2) (.f64 z z)) (*.f64 (+.f64 z 1) (exp.f64 13/2)))
(.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (.f64 1/2 (*.f64 z z))))
(+.f64 (.f64 1/2 (.f64 (exp.f64 13/2) (pow.f64 z 2))) (+.f64 (exp.f64 13/2) (+.f64 (.f64 1/6 (.f64 (exp.f64 13/2) (pow.f64 z 3))) (*.f64 (exp.f64 13/2) z))))
(fma.f64 1/2 (.f64 (exp.f64 13/2) (.f64 z z)) (+.f64 (exp.f64 13/2) (fma.f64 1/6 (.f64 (exp.f64 13/2) (pow.f64 z 3)) (.f64 (exp.f64 13/2) z))))
(+.f64 (fma.f64 (exp.f64 13/2) z (.f64 (.f64 1/6 (pow.f64 z 3)) (exp.f64 13/2))) (fma.f64 1/2 (.f64 (exp.f64 13/2) (.f64 z z)) (exp.f64 13/2)))
(fma.f64 1/2 (.f64 (exp.f64 13/2) (.f64 z z)) (.f64 (exp.f64 13/2) (+.f64 (+.f64 z 1) (.f64 1/6 (pow.f64 z 3)))))
1
(+.f64 1 (/.f64 (fma.f64 z z -169/4) z))
(+.f64 1 (+.f64 (/.f64 (fma.f64 z z -169/4) z) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (fma.f64 z z -169/4) 2) (pow.f64 z 2))) (.f64 13/2 (/.f64 (fma.f64 z z -169/4) (pow.f64 z 2))))))
(+.f64 1 (+.f64 (/.f64 (fma.f64 z z -169/4) z) (fma.f64 1/2 (/.f64 (pow.f64 (fma.f64 z z -169/4) 2) (.f64 z z)) (.f64 13/2 (/.f64 (fma.f64 z z -169/4) (*.f64 z z))))))
(+.f64 (/.f64 (fma.f64 z z -169/4) z) (+.f64 (fma.f64 13/2 (/.f64 (fma.f64 z z -169/4) (.f64 z z)) (/.f64 (pow.f64 (fma.f64 z z -169/4) 2) (/.f64 (.f64 z z) 1/2))) 1))
(+.f64 1 (+.f64 (.f64 (/.f64 1/2 (.f64 z z)) (pow.f64 (fma.f64 z z -169/4) 2)) (*.f64 (+.f64 (/.f64 13/2 z) 1) (/.f64 (fma.f64 z z -169/4) z))))
(+.f64 1 (+.f64 (/.f64 (fma.f64 z z -169/4) z) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (fma.f64 z z -169/4) 3) (pow.f64 z 3))) (+.f64 (.f64 169/4 (/.f64 (fma.f64 z z -169/4) (pow.f64 z 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (fma.f64 z z -169/4) 2) (pow.f64 z 2))) (+.f64 (.f64 13/2 (/.f64 (pow.f64 (fma.f64 z z -169/4) 2) (pow.f64 z 3))) (*.f64 13/2 (/.f64 (fma.f64 z z -169/4) (pow.f64 z 2)))))))))
(+.f64 1 (+.f64 (/.f64 (fma.f64 z z -169/4) z) (fma.f64 1/6 (/.f64 (pow.f64 (fma.f64 z z -169/4) 3) (pow.f64 z 3)) (fma.f64 169/4 (/.f64 (fma.f64 z z -169/4) (pow.f64 z 3)) (fma.f64 1/2 (/.f64 (pow.f64 (fma.f64 z z -169/4) 2) (.f64 z z)) (.f64 13/2 (+.f64 (/.f64 (pow.f64 (fma.f64 z z -169/4) 2) (pow.f64 z 3)) (/.f64 (fma.f64 z z -169/4) (*.f64 z z)))))))))
(+.f64 (+.f64 1 (/.f64 (fma.f64 z z -169/4) z)) (fma.f64 1/6 (/.f64 (pow.f64 (fma.f64 z z -169/4) 3) (pow.f64 z 3)) (fma.f64 169/4 (/.f64 (fma.f64 z z -169/4) (pow.f64 z 3)) (fma.f64 13/2 (+.f64 (/.f64 (fma.f64 z z -169/4) (.f64 z z)) (/.f64 (pow.f64 (fma.f64 z z -169/4) 2) (pow.f64 z 3))) (/.f64 (pow.f64 (fma.f64 z z -169/4) 2) (/.f64 (.f64 z z) 1/2))))))
(+.f64 (+.f64 1 (/.f64 (fma.f64 z z -169/4) z)) (fma.f64 1/6 (pow.f64 (/.f64 (fma.f64 z z -169/4) z) 3) (+.f64 (.f64 (/.f64 (pow.f64 (fma.f64 z z -169/4) 2) (.f64 z z)) (+.f64 1/2 (/.f64 13/2 z))) (.f64 (/.f64 (fma.f64 z z -169/4) (.f64 z z)) (+.f64 13/2 (/.f64 169/4 z))))))
1
(+.f64 1 (/.f64 (fma.f64 z z -169/4) z))
(+.f64 1 (+.f64 (/.f64 (fma.f64 z z -169/4) z) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (fma.f64 z z -169/4) 2) (pow.f64 z 2))) (.f64 13/2 (/.f64 (fma.f64 z z -169/4) (pow.f64 z 2))))))
(+.f64 1 (+.f64 (/.f64 (fma.f64 z z -169/4) z) (fma.f64 1/2 (/.f64 (pow.f64 (fma.f64 z z -169/4) 2) (.f64 z z)) (.f64 13/2 (/.f64 (fma.f64 z z -169/4) (*.f64 z z))))))
(+.f64 (/.f64 (fma.f64 z z -169/4) z) (+.f64 (fma.f64 13/2 (/.f64 (fma.f64 z z -169/4) (.f64 z z)) (/.f64 (pow.f64 (fma.f64 z z -169/4) 2) (/.f64 (.f64 z z) 1/2))) 1))
(+.f64 1 (+.f64 (.f64 (/.f64 1/2 (.f64 z z)) (pow.f64 (fma.f64 z z -169/4) 2)) (*.f64 (+.f64 (/.f64 13/2 z) 1) (/.f64 (fma.f64 z z -169/4) z))))
(+.f64 1 (+.f64 (/.f64 (fma.f64 z z -169/4) z) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -13/2 (pow.f64 (fma.f64 z z -169/4) 2)) (+.f64 (.f64 -1/6 (pow.f64 (fma.f64 z z -169/4) 3)) (.f64 -169/4 (fma.f64 z z -169/4)))) (pow.f64 z 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (fma.f64 z z -169/4) 2) (pow.f64 z 2))) (.f64 13/2 (/.f64 (fma.f64 z z -169/4) (pow.f64 z 2)))))))
(+.f64 1 (+.f64 (/.f64 (fma.f64 z z -169/4) z) (fma.f64 -1 (/.f64 (fma.f64 -13/2 (pow.f64 (fma.f64 z z -169/4) 2) (fma.f64 -1/6 (pow.f64 (fma.f64 z z -169/4) 3) (.f64 -169/4 (fma.f64 z z -169/4)))) (pow.f64 z 3)) (fma.f64 1/2 (/.f64 (pow.f64 (fma.f64 z z -169/4) 2) (.f64 z z)) (.f64 13/2 (/.f64 (fma.f64 z z -169/4) (.f64 z z)))))))
(+.f64 (/.f64 (fma.f64 z z -169/4) z) (+.f64 1 (-.f64 (fma.f64 13/2 (/.f64 (fma.f64 z z -169/4) (.f64 z z)) (/.f64 (pow.f64 (fma.f64 z z -169/4) 2) (/.f64 (.f64 z z) 1/2))) (/.f64 (fma.f64 (pow.f64 (fma.f64 z z -169/4) 2) -13/2 (fma.f64 -169/4 (fma.f64 z z -169/4) (*.f64 (pow.f64 (fma.f64 z z -169/4) 3) -1/6))) (pow.f64 z 3)))))
(-.f64 (+.f64 1 (+.f64 (.f64 (/.f64 1/2 (.f64 z z)) (pow.f64 (fma.f64 z z -169/4) 2)) (.f64 (+.f64 (/.f64 13/2 z) 1) (/.f64 (fma.f64 z z -169/4) z)))) (/.f64 (fma.f64 (pow.f64 (fma.f64 z z -169/4) 2) -13/2 (fma.f64 -169/4 (fma.f64 z z -169/4) (.f64 (pow.f64 (fma.f64 z z -169/4) 3) -1/6))) (pow.f64 z 3)))
(exp.f64 -169/4)
(+.f64 (exp.f64 -169/4) (*.f64 (exp.f64 -169/4) (pow.f64 z 2)))
(+.f64 (exp.f64 -169/4) (.f64 (.f64 z z) (exp.f64 -169/4)))
(.f64 (+.f64 (.f64 z z) 1) (exp.f64 -169/4))
(+.f64 (exp.f64 -169/4) (+.f64 (.f64 (exp.f64 -169/4) (pow.f64 z 2)) (.f64 1/2 (*.f64 (exp.f64 -169/4) (pow.f64 z 4)))))
(+.f64 (exp.f64 -169/4) (fma.f64 (exp.f64 -169/4) (.f64 z z) (.f64 1/2 (*.f64 (exp.f64 -169/4) (pow.f64 z 4)))))
(+.f64 (exp.f64 -169/4) (fma.f64 1/2 (.f64 (exp.f64 -169/4) (pow.f64 z 4)) (.f64 z (*.f64 z (exp.f64 -169/4)))))
(.f64 (exp.f64 -169/4) (+.f64 (+.f64 (.f64 z z) 1) (*.f64 1/2 (pow.f64 z 4))))
(+.f64 (.f64 1/6 (.f64 (exp.f64 -169/4) (pow.f64 z 6))) (+.f64 (exp.f64 -169/4) (+.f64 (.f64 (exp.f64 -169/4) (pow.f64 z 2)) (.f64 1/2 (*.f64 (exp.f64 -169/4) (pow.f64 z 4))))))
(fma.f64 1/6 (.f64 (exp.f64 -169/4) (pow.f64 z 6)) (+.f64 (exp.f64 -169/4) (fma.f64 (exp.f64 -169/4) (.f64 z z) (.f64 1/2 (.f64 (exp.f64 -169/4) (pow.f64 z 4))))))
(+.f64 (fma.f64 1/2 (.f64 (exp.f64 -169/4) (pow.f64 z 4)) (.f64 z (.f64 z (exp.f64 -169/4)))) (fma.f64 1/6 (.f64 (exp.f64 -169/4) (pow.f64 z 6)) (exp.f64 -169/4)))
(fma.f64 1/6 (.f64 (exp.f64 -169/4) (pow.f64 z 6)) (.f64 (exp.f64 -169/4) (+.f64 (+.f64 (.f64 z z) 1) (.f64 1/2 (pow.f64 z 4)))))
(exp.f64 (fma.f64 z z -169/4))
(exp.f64 (fma.f64 z z -169/4))
(exp.f64 (fma.f64 z z -169/4))
(exp.f64 (fma.f64 z z -169/4))
(exp.f64 (fma.f64 z z -169/4))
(exp.f64 (fma.f64 z z -169/4))
(exp.f64 (fma.f64 z z -169/4))
(exp.f64 (fma.f64 z z -169/4))
(/.f64 (sqrt.f64 2/13) (exp.f64 13/2))
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (.f64 (-.f64 (/.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z))
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (*.f64 z (-.f64 (/.f64 (+.f64 (log.f64 13/2) -1/13) (/.f64 (exp.f64 13/2) (sqrt.f64 2/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))))
(fma.f64 z (-.f64 (/.f64 (sqrt.f64 2/13) (/.f64 (exp.f64 13/2) (+.f64 (log.f64 13/2) -1/13))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))
(fma.f64 z (-.f64 (*.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (log.f64 13/2) -1/13)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)))
(+.f64 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 (.f64 (+.f64 27/169 (.f64 1/2 (pow.f64 (-.f64 (log.f64 13/2) 1/13) 2))) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) (/.f64 (.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)))) (pow.f64 z 2)) (.f64 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 13/2) 1/13) (sqrt.f64 2/13)) (exp.f64 13/2)) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))) z)))
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(pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))
(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))
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(pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))
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(-.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (/.f64 z (fma.f64 z z -169/4))))
(+.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (fma.f64 z z -169/4)) z)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (pow.f64 (fma.f64 z z -169/4) 2))) (.f64 (+.f64 (.f64 13/2 (fma.f64 z z -169/4)) (.f64 1/2 (pow.f64 (fma.f64 z z -169/4) 2))) (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))))) (pow.f64 z 2)))))
(fma.f64 -1 (/.f64 (fma.f64 z z -169/4) (/.f64 z (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)))) (fma.f64 -1 (/.f64 (fma.f64 (fma.f64 13/2 (fma.f64 z z -169/4) (.f64 1/2 (pow.f64 (fma.f64 z z -169/4) 2))) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (neg.f64 (.f64 (pow.f64 (fma.f64 z z -169/4) 2) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))))) (*.f64 z z)) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))))
(-.f64 (-.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (/.f64 (.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 z z -169/4) 2) (.f64 13/2 (fma.f64 z z -169/4))) (neg.f64 (pow.f64 (fma.f64 z z -169/4) 2)))) (.f64 z z))) (.f64 (/.f64 (fma.f64 z z -169/4) z) (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2))))
(-.f64 (-.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) z) (/.f64 (-.f64 (.f64 (fma.f64 z z -169/4) (+.f64 13/2 (*.f64 1/2 (fma.f64 z z -169/4)))) (pow.f64 (fma.f64 z z -169/4) 2)) z))) (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (/.f64 z (fma.f64 z z -169/4))))
(+.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (fma.f64 z z -169/4)) z)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 13/2 (fma.f64 z z -169/4)) (.f64 1/2 (pow.f64 (fma.f64 z z -169/4) 2))) (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (fma.f64 z z -169/4))) (pow.f64 z 3)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (pow.f64 (fma.f64 z z -169/4) 2))) (.f64 (+.f64 (.f64 13/2 (fma.f64 z z -169/4)) (.f64 1/2 (pow.f64 (fma.f64 z z -169/4) 2))) (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))))) (pow.f64 z 2))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (pow.f64 (fma.f64 z z -169/4) 2))) (.f64 (+.f64 (.f64 13/2 (fma.f64 z z -169/4)) (.f64 1/2 (pow.f64 (fma.f64 z z -169/4) 2))) (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))))) (fma.f64 z z -169/4)) (pow.f64 z 3)) (/.f64 (.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (+.f64 (.f64 -13/2 (pow.f64 (fma.f64 z z -169/4) 2)) (+.f64 (.f64 -1/6 (pow.f64 (fma.f64 z z -169/4) 3)) (.f64 -169/4 (fma.f64 z z -169/4))))) (pow.f64 z 3)))))))
(+.f64 (exp.f64 (neg.f64 (.f64 (log.f64 (-.f64 13/2 (neg.f64 z))) (fma.f64 -1 z 1/2)))) (fma.f64 -1 (/.f64 (exp.f64 (neg.f64 (.f64 (log.f64 (-.f64 13/2 (neg.f64 z))) (fma.f64 -1 z 1/2)))) (/.f64 z (fma.f64 z z -169/4))) (+.f64 (/.f64 (.f64 (fma.f64 13/2 (fma.f64 z z -169/4) (.f64 1/2 (pow.f64 (fma.f64 z z -169/4) 2))) (.f64 (fma.f64 z z -169/4) (exp.f64 (neg.f64 (.f64 (log.f64 (-.f64 13/2 (neg.f64 z))) (fma.f64 -1 z 1/2)))))) (pow.f64 z 3)) (fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 (pow.f64 (fma.f64 z z -169/4) 2) (exp.f64 (neg.f64 (.f64 (log.f64 (-.f64 13/2 (neg.f64 z))) (fma.f64 -1 z 1/2))))) (.f64 (fma.f64 13/2 (fma.f64 z z -169/4) (.f64 1/2 (pow.f64 (fma.f64 z z -169/4) 2))) (exp.f64 (neg.f64 (.f64 (log.f64 (-.f64 13/2 (neg.f64 z))) (fma.f64 -1 z 1/2)))))) (.f64 z z)) (+.f64 (/.f64 (fma.f64 -1 (.f64 (pow.f64 (fma.f64 z z -169/4) 2) (exp.f64 (neg.f64 (.f64 (log.f64 (-.f64 13/2 (neg.f64 z))) (fma.f64 -1 z 1/2))))) (.f64 (fma.f64 13/2 (fma.f64 z z -169/4) (.f64 1/2 (pow.f64 (fma.f64 z z -169/4) 2))) (exp.f64 (neg.f64 (.f64 (log.f64 (-.f64 13/2 (neg.f64 z))) (fma.f64 -1 z 1/2)))))) (/.f64 (pow.f64 z 3) (fma.f64 z z -169/4))) (/.f64 (exp.f64 (neg.f64 (.f64 (log.f64 (-.f64 13/2 (neg.f64 z))) (fma.f64 -1 z 1/2)))) (/.f64 (pow.f64 z 3) (fma.f64 -13/2 (pow.f64 (fma.f64 z z -169/4) 2) (fma.f64 -1/6 (pow.f64 (fma.f64 z z -169/4) 3) (*.f64 -169/4 (fma.f64 z z -169/4)))))))))))
(+.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 13/2 z)))) (-.f64 1/2 z)) (/.f64 (fma.f64 z z -169/4) (/.f64 z (pow.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 13/2 z)))) (-.f64 1/2 z))))) (+.f64 (+.f64 (/.f64 (-.f64 (.f64 (fma.f64 1/2 (pow.f64 (fma.f64 z z -169/4) 2) (.f64 13/2 (fma.f64 z z -169/4))) (pow.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 13/2 z)))) (-.f64 1/2 z))) (.f64 (pow.f64 (fma.f64 z z -169/4) 2) (pow.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 13/2 z)))) (-.f64 1/2 z)))) (/.f64 (pow.f64 z 3) (fma.f64 z z -169/4))) (.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 13/2 z)))) (-.f64 1/2 z)) (pow.f64 z 3)) (fma.f64 (pow.f64 (fma.f64 z z -169/4) 2) -13/2 (fma.f64 -169/4 (fma.f64 z z -169/4) (.f64 (pow.f64 (fma.f64 z z -169/4) 3) -1/6))))) (-.f64 (.f64 (/.f64 (fma.f64 1/2 (pow.f64 (fma.f64 z z -169/4) 2) (.f64 13/2 (fma.f64 z z -169/4))) (pow.f64 z 3)) (.f64 (fma.f64 z z -169/4) (pow.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 13/2 z)))) (-.f64 1/2 z)))) (/.f64 (-.f64 (.f64 (fma.f64 1/2 (pow.f64 (fma.f64 z z -169/4) 2) (.f64 13/2 (fma.f64 z z -169/4))) (pow.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 13/2 z)))) (-.f64 1/2 z))) (.f64 (pow.f64 (fma.f64 z z -169/4) 2) (pow.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 13/2 z)))) (-.f64 1/2 z)))) (.f64 z z)))))
(+.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (+.f64 (+.f64 (.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (pow.f64 z 3)) (fma.f64 (pow.f64 (fma.f64 z z -169/4) 2) -13/2 (fma.f64 -169/4 (fma.f64 z z -169/4) (.f64 (pow.f64 (fma.f64 z z -169/4) 3) -1/6)))) (.f64 (.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) z) (/.f64 (-.f64 (.f64 (fma.f64 z z -169/4) (+.f64 13/2 (.f64 1/2 (fma.f64 z z -169/4)))) (pow.f64 (fma.f64 z z -169/4) 2)) z)) (+.f64 -1 (/.f64 (fma.f64 z z -169/4) z)))) (.f64 (/.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (/.f64 z (fma.f64 z z -169/4))) (+.f64 -1 (/.f64 (.f64 (fma.f64 z z -169/4) (+.f64 13/2 (.f64 1/2 (fma.f64 z z -169/4)))) (.f64 z z))))))

eval2.2s (6.3%)

Compiler: Compiled 75069 to 62406 computations (16.9% saved)

prune857.0ms (2.5%)

Pruning

151 alts after pruning (142 fresh and 9 done)

	Pruned	Kept	Total
New	866	36	902
Fresh	12	106	118
Picked	0	1	1
Done	2	8	10
Total	880	151	1031

Error

0.1b

Counts

1031 → 151

Alt Table

Click to see full alt table

Status	Error	Program
	25.6b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (pow.f64 (sqrt.f64 (exp.f64 (expm1.f64 (log1p.f64 (-.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) -13/2) z))))) 2)))
	4.4b	(.f64 (.f64 (sqrt.f64 2) (.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) (.f64 (/.f64 (exp.f64 (*.f64 2/3 (-.f64 -13/2 z))) (sqrt.f64 (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z)))) (/.f64 (cbrt.f64 (exp.f64 (-.f64 -13/2 z))) (sqrt.f64 (pow.f64 (+.f64 z 13/2) (-.f64 1/2 z))))))) (+.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))))
	25.8b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) -13/2) z))) (sqrt.f64 (-.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) -13/2) z)))) 2)))
✓	4.5b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2)))))))
	4.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (/.f64 1 (exp.f64 z)) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 13/2)))))
	5.1b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (cbrt.f64 (exp.f64 (.f64 3 (+.f64 z 13/2)))))))
	4.5b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (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))))
	13.6b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (pow.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) 3) 1/3)))
	4.5b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
	4.2b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 1) (-.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) -13/2) z))) 2)))
	4.3b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) 3) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (pow.f64 (sqrt.f64 (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))) 2)))
	53.6b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
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	4.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 1 (neg.f64 (exp.f64 (+.f64 z 13/2)))))))
✓	4.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (+.f64 (.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z))))) (*.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))

Compiler

Compiled 12765 to 10825 computations (15.2% saved)

regimes2.1s (6%)

Counts

201 → 2

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) 2496092394504893/1500000000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (.f64 943522900885677/5000000000000 (/.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (.f64 z z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (-.f64 (+.f64 (.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 8724775023335764401/10000000000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 1 (neg.f64 (exp.f64 (+.f64 z 13/2)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 1 (neg.f64 (exp.f64 (+.f64 z 13/2)))))))
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(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 1) (/.f64 (pow.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) 2) (+.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) z) 13/2))) (pow.f64 (exp.f64 1) (/.f64 (pow.f64 (+.f64 z 13/2) 2) (+.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) z) 13/2))))) 2)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (PI.f64)) 1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (PI.f64)) 1)) -1) (/.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 2)) (cbrt.f64 (exp.f64 (-.f64 -13/2 z)))) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (pow.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) -13/2) z)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) -13/2) z)))) (sqrt.f64 (cbrt.f64 (-.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) -13/2) z))))) 2)))

Outputs

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

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

Calls

4 calls:

344.0ms	(-.f64 z 1)
304.0ms	(-.f64 z 1)
259.0ms	z
241.0ms	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))

Results

Error	Segments	Branch
2.3b	2	`z`
2.3b	2	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
2.3b	2	`(-.f64 z 1)`
2.3b	2	`(-.f64 z 1)`

Compiler

Compiled 16718 to 13847 computations (17.2% saved)

bsearch7.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.834694604483693e+229	+inf

Compiler

Compiled 99 to 87 computations (12.1% saved)

regimes2.4s (7%)

Counts

190 → 2

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) 2496092394504893/1500000000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (.f64 943522900885677/5000000000000 (/.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (.f64 z z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
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(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z 13/2))) (.f64 1/2 (sqrt.f64 (+.f64 z 13/2)))) (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z 13/2))) (.f64 1/2 (sqrt.f64 (+.f64 z 13/2))))))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 2)) (cbrt.f64 (exp.f64 (-.f64 -13/2 z)))) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) (/.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 2)) (cbrt.f64 (exp.f64 (-.f64 -13/2 z)))) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3) (/.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -13/2 z)) 2)) (cbrt.f64 (exp.f64 (-.f64 -13/2 z)))) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 2)) 2)) (sqrt.f64 (cbrt.f64 (.f64 (PI.f64) 2)))) (.f64 (+.f64 (/.f64 (+.f64 (.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z))))) (*.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (+.f64 (.f64 (+.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) 3) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z 2) 3))) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))) (.f64 (+.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2)) (/.f64 -24280089448768304182713669421717/25000000000000000000000000 (.f64 (+.f64 z 1) (+.f64 z 2))))) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (.f64 (+.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2)) (/.f64 -24280089448768304182713669421717/25000000000000000000000000 (.f64 (+.f64 z 1) (+.f64 z 2))))) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (-.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) -13/2) z)))) (pow.f64 (exp.f64 1) 1))) 2)))

Outputs

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

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

Calls

4 calls:

621.0ms	(-.f64 z 1)
419.0ms	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
395.0ms	z
361.0ms	(-.f64 z 1)

Results

Error	Segments	Branch
2.3b	2	`z`
2.3b	2	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
2.3b	2	`(-.f64 z 1)`
2.3b	2	`(-.f64 z 1)`

Compiler

Compiled 15675 to 12980 computations (17.2% saved)

bsearch6.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.834694604483693e+229	+inf

Compiler

Compiled 99 to 87 computations (12.1% saved)

regimes1.8s (5.3%)

Counts

152 → 2

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) 2496092394504893/1500000000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (.f64 943522900885677/5000000000000 (/.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (.f64 z z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (-.f64 (+.f64 (.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 8724775023335764401/10000000000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 1 (neg.f64 (exp.f64 (+.f64 z 13/2)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 1 (neg.f64 (exp.f64 (+.f64 z 13/2)))))))
(.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (-.f64 -13/2 z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
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(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) 3) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z 2) 3))) (+.f64 (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (+.f64 (.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (+.f64 z 1) 2)) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))) (.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 z 3))))) (.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z)) (.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 1) (-.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) -13/2) z))) 2)))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) 3) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (expm1.f64 (log1p.f64 (exp.f64 (+.f64 z 13/2)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (pow.f64 (sqrt.f64 (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))) 2)))

Outputs

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

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

Calls

4 calls:

303.0ms	z
289.0ms	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
284.0ms	(-.f64 z 1)
238.0ms	(-.f64 z 1)

Results

Error	Segments	Branch
2.3b	2	`z`
2.3b	2	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
2.3b	2	`(-.f64 z 1)`
2.3b	2	`(-.f64 z 1)`

Compiler

Compiled 12347 to 10221 computations (17.2% saved)

bsearch7.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.834694604483693e+229	+inf

Compiler

Compiled 99 to 87 computations (12.1% saved)

regimes1.2s (3.5%)

Counts

113 → 2

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) 2496092394504893/1500000000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
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(.f64 (.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 (cbrt.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1)))) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(.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 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) 3) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.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))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (+.f64 (.f64 (fma.f64 -3147848041806007/2500000000000 (+.f64 z 2) (.f64 (+.f64 z 1) 7713234287776531/10000000000000)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (.f64 (.f64 (+.f64 z 1) (+.f64 z 2)) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z))))) (.f64 (.f64 (+.f64 z 1) (+.f64 z 2)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 z) (exp.f64 13/2)))))
(.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))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (+.f64 (.f64 (fma.f64 -3147848041806007/2500000000000 (+.f64 z 2) (.f64 (+.f64 z 1) 7713234287776531/10000000000000)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (.f64 (.f64 (+.f64 z 1) (+.f64 z 2)) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z))))) (.f64 (.f64 (+.f64 z 1) (+.f64 z 2)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (pow.f64 (+.f64 z 13/2) z) (.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 (-.f64 -13/2 z))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (-.f64 (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (*.f64 (exp.f64 z) (exp.f64 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (+.f64 (.f64 (fma.f64 -3147848041806007/2500000000000 (+.f64 z 2) (.f64 (+.f64 z 1) 7713234287776531/10000000000000)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))) (.f64 (.f64 (+.f64 z 1) (+.f64 z 2)) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (.f64 z z))))) (.f64 (.f64 (+.f64 z 1) (+.f64 z 2)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (pow.f64 (+.f64 z 13/2) z) (.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 (-.f64 (neg.f64 z) 13/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (-.f64 (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (pow.f64 (+.f64 z 13/2) z) (.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 (-.f64 -13/2 z))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (-.f64 (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)))) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 z 2) 2))) (-.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (pow.f64 (+.f64 z 13/2) z) (.f64 (pow.f64 (+.f64 z 13/2) -1/2) (exp.f64 (-.f64 (neg.f64 z) 13/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))) 2)))

Outputs

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

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

Calls

4 calls:

328.0ms	(-.f64 z 1)
255.0ms	(-.f64 z 1)
152.0ms	z
133.0ms	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))

Results

Error	Segments	Branch
2.3b	2	`z`
2.3b	2	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
2.3b	2	`(-.f64 z 1)`
2.3b	2	`(-.f64 z 1)`

Compiler

Compiled 8811 to 7320 computations (16.9% saved)

bsearch5.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.834694604483693e+229	+inf

Compiler

Compiled 99 to 87 computations (12.1% saved)

regimes755.0ms (2.2%)

Counts

88 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

195.0ms

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

166.0ms

154.0ms

(-.f64 z 1)

Results

Error	Segments	Branch
2.3b	2	`z`
2.3b	2	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
2.3b	2	`(-.f64 z 1)`

Compiler

Compiled 6651 to 5529 computations (16.9% saved)

bsearch3.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.834694604483693e+229	+inf

Compiler

Compiled 99 to 87 computations (12.1% saved)

regimes564.0ms (1.6%)

Counts

69 → 2

Calls

Call 1

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

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

Calls

3 calls:

127.0ms

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

122.0ms

77.0ms

(-.f64 z 1)

Results

Error	Segments	Branch
2.3b	2	`z`
2.3b	2	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
2.3b	2	`(-.f64 z 1)`

Compiler

Compiled 5202 to 4332 computations (16.7% saved)

bsearch4.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.834694604483693e+229	+inf

Compiler

Compiled 99 to 87 computations (12.1% saved)

regimes426.0ms (1.2%)

Counts

53 → 2

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) 2496092394504893/1500000000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (.f64 943522900885677/5000000000000 (/.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (.f64 z z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (-.f64 (+.f64 (.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 8724775023335764401/10000000000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 1 (neg.f64 (exp.f64 (+.f64 z 13/2)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 1 (neg.f64 (exp.f64 (+.f64 z 13/2)))))))
(.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (-.f64 -13/2 z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
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(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (exp.f64 (.f64 -1 (.f64 (log.f64 (-.f64 13/2 (.f64 -1 z))) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (-.f64 13/2 (.f64 -1 z))))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (exp.f64 (-.f64 -13/2 z)) (pow.f64 (-.f64 z -13/2) (-.f64 1/2 z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))

Outputs

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

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

Calls

3 calls:

118.0ms

90.0ms

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

84.0ms

(-.f64 z 1)

Results

Error	Segments	Branch
2.3b	2	`z`
2.3b	2	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
2.3b	2	`(-.f64 z 1)`

Compiler

Compiled 3676 to 3059 computations (16.8% saved)

bsearch2.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.834694604483693e+229	+inf

Compiler

Compiled 99 to 87 computations (12.1% saved)

regimes216.0ms (0.6%)

Counts

29 → 2

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) 2496092394504893/1500000000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (.f64 943522900885677/5000000000000 (/.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (.f64 z z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (-.f64 (+.f64 (.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 8724775023335764401/10000000000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 1 (neg.f64 (exp.f64 (+.f64 z 13/2)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 1 (neg.f64 (exp.f64 (+.f64 z 13/2)))))))
(.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (-.f64 -13/2 z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (/.f64 1 (exp.f64 (+.f64 (+.f64 z -1) 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))

Outputs

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

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

Calls

3 calls:

55.0ms

(-.f64 z 1)

40.0ms

38.0ms

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

Results

Error	Segments	Branch
2.3b	2	`z`
2.3b	2	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
2.3b	2	`(-.f64 z 1)`

Compiler

Compiled 1858 to 1559 computations (16.1% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	134.54142256704375	141.9854790644285

Compiler

Compiled 79 to 67 computations (15.2% saved)

regimes71.0ms (0.2%)

Counts

26 → 2

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) 2496092394504893/1500000000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 -294358381936901/5000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 z) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (.f64 294358381936901/15000000000000 z) 294358381936901/5000000000000) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2649225437432109/5000000000000 (.f64 z z)) (/.f64 -883075145810703/5000000000000 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (.f64 943522900885677/5000000000000 (/.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (sqrt.f64 2/13) (exp.f64 13/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (.f64 z z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (-.f64 (+.f64 (.f64 42652334381119581/40000000000000 z) (*.f64 6765203681218851/10000000000000 (/.f64 1 z))) 8724775023335764401/10000000000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 1 (neg.f64 (exp.f64 (+.f64 z 13/2)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 1 (neg.f64 (exp.f64 (+.f64 z 13/2)))))))
(.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (-.f64 -13/2 z))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))

Outputs

(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8))))

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

Calls

1 calls:

24.0ms

Results

Error	Segments	Branch
2.4b	2	`z`

Compiler

Compiled 1482 to 1231 computations (16.9% saved)

bsearch9.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	135.54142256704375	142.9854790644285

Compiler

Compiled 99 to 87 computations (12.1% saved)

regimes62.0ms (0.2%)

Counts

24 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

24.0ms

Results

Error	Segments	Branch
2.4b	2	`z`

Compiler

Compiled 1306 to 1079 computations (17.4% saved)

bsearch1.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	135.54142256704375	142.9854790644285

Compiler

Compiled 99 to 87 computations (12.1% saved)

regimes58.0ms (0.2%)

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

24.0ms

Results

Error	Segments	Branch
2.4b	2	`z`

Compiler

Compiled 1168 to 965 computations (17.4% saved)

bsearch2.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
1.0ms	135.54142256704375	142.9854790644285

Compiler

Compiled 99 to 87 computations (12.1% saved)

regimes41.0ms (0.1%)

Counts

20 → 1

Calls

Call 1

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

Outputs

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

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
4.4b	1	`z`

Compiler

Compiled 1036 to 857 computations (17.3% saved)

regimes44.0ms (0.1%)

Counts

17 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

19.0ms

Results

Error	Segments	Branch
48.6b	2	`z`

Compiler

Compiled 841 to 698 computations (17% saved)

bsearch1.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	11.083094581646632	11.543540817146155

Compiler

Compiled 99 to 87 computations (12.1% saved)

regimes31.0ms (0.1%)

Counts

15 → 1

Calls

Call 1

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

Outputs

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

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
49.8b	1	`z`

Compiler

Compiled 723 to 604 computations (16.5% saved)

regimes23.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

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

Outputs

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

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
53.6b	1	`z`

Compiler

Compiled 499 to 418 computations (16.2% saved)

regimes20.0ms (0.1%)

Accuracy

Total -5.9b remaining (-10.3%)

Threshold costs -5.9b (-10.3%)

Counts

10 → 1

Calls

Call 1

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

Outputs

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

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
57.3b	1	`z`

Compiler

Compiled 448 to 377 computations (15.8% saved)

simplify289.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

102×	`+-commutative_binary64`
81×	`*-commutative_binary64`
50×	`sub-neg_binary64`
42×	`neg-sub0_binary64`
42×	`neg-mul-1_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	220	4525
1	366	4525
2	431	4507
3	505	4507
4	583	4507
5	627	4507
6	662	4507
7	694	4507
8	718	4507
9	736	4507
10	742	4507
11	744	4507

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.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)))) 50000000000000004978322216300255859307940775126853620144447441444144841048874767756413678479557303886746221726677047727400523075720944169118017456955450051308142127074213512132587827598340471265285454644683672657941808345790808064) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 3)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) -13/2) z))) (sqrt.f64 (-.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) -13/2) z)))) 2))))
(if (<=.f64 (.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)))) 50000000000000004978322216300255859307940775126853620144447441444144841048874767756413678479557303886746221726677047727400523075720944169118017456955450051308142127074213512132587827598340471265285454644683672657941808345790808064) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 3)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) 3) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (pow.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2)))) 2))))
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(if (<=.f64 (-.f64 z 1) 140) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2) (+.f64 (-.f64 z 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 z 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (/.f64 -3147848041806007/2500000000000 (-.f64 z -1))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))))
(if (<=.f64 z 140) (.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 z -1) 15/2) (+.f64 z -1/2))) (exp.f64 (+.f64 (+.f64 z -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 z 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 z 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 z 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 z 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 z 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 z 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 z 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 z 1) 8)))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))))
(if (<=.f64 z 140) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (neg.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2))) (/.f64 1 (neg.f64 (exp.f64 (+.f64 z 13/2))))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))))
(if (<=.f64 z 140) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (exp.f64 (-.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (+.f64 z 13/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
(if (<=.f64 z 23/2) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))))

Outputs
(if (<=.f64 (.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)))) 50000000000000004978322216300255859307940775126853620144447441444144841048874767756413678479557303886746221726677047727400523075720944169118017456955450051308142127074213512132587827598340471265285454644683672657941808345790808064) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) 3)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2))))) (.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 z 2)))))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) -13/2) z))) (sqrt.f64 (-.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) -13/2) z)))) 2))))
(if (<=.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (+.f64 z -1) 7) 1/2) (+.f64 (+.f64 z -1) 1/2))) (exp.f64 (+.f64 (neg.f64 (+.f64 (+.f64 z -1) 7)) -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)))) 50000000000000004978322216300255859307940775126853620144447441444144841048874767756413678479557303886746221726677047727400523075720944169118017456955450051308142127074213512132587827598340471265285454644683672657941808345790808064) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) 3)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (+.f64 (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))) (.f64 -9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) -13/2) z))) (sqrt.f64 (-.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) -13/2) z)))) 2))))
(if (<=.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (+.f64 z -1) 7) 1/2) (+.f64 (+.f64 z -1) 1/2))) (exp.f64 (+.f64 -1/2 (+.f64 (neg.f64 (+.f64 z -1)) -7)))) (+.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)))) 50000000000000004978322216300255859307940775126853620144447441444144841048874767756413678479557303886746221726677047727400523075720944169118017456955450051308142127074213512132587827598340471265285454644683672657941808345790808064) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) 3)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (+.f64 (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))))) (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) -9999999999998099/10000000000000000)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) -13/2) z))) (sqrt.f64 (-.f64 (fma.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2)) -13/2) z)))) 2))))
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(if (<=.f64 z 140) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (exp.f64 (+.f64 (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))) (-.f64 -13/2 z))))))
(if (<=.f64 z 140) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (exp.f64 (+.f64 (-.f64 -13/2 z) (.f64 (+.f64 z -1/2) (log.f64 (+.f64 z 13/2))))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (.f64 (pow.f64 (+.f64 13/2 z) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)))) (.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (-.f64 -13/2 z)))))
(if (<=.f64 z 23/2) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))))))
(if (<=.f64 z 23/2) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (/.f64 -1417538204164517/5000000000000 (*.f64 z z)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (+.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (exp.f64 (+.f64 z 13/2))) (+.f64 (/.f64 6765203681218851/10000000000000 z) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 z -4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7))))) (pow.f64 (+.f64 13/2 z) (-.f64 z 1/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 z 13/2) (+.f64 z -1/2)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 3)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 5)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 z 4)) (/.f64 2496092394504893/250000000000000000000 (+.f64 z 6)))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 7)))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 z 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 z))))))

Compiler

Compiled 2977 to 2509 computations (15.7% saved)

soundness399.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 10106 to 8764 computations (13.3% saved)

end1.3s (3.8%)

Compiler: Compiled 2962 to 2478 computations (16.3% saved)