Metrics for Harley's example

analyze425.0ms (0.8%)

Memory

13.8MiB live, 709.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
0%	0%	25%	75%	0%	0%	0%	1
0%	0%	25%	75%	0%	0%	0%	2
0%	0%	25%	75%	0%	0%	0%	3
0%	0%	25%	75%	0%	0%	0%	4
0%	0%	25%	75%	0%	0%	0%	5
0%	0%	21.8%	75%	0%	3.1%	0%	6
0%	0%	18.7%	75%	0%	6.2%	0%	7
19%	3.1%	13.3%	75%	0%	8.6%	0%	8
19%	3.1%	13.3%	75%	0%	8.6%	0%	9
21.6%	3.1%	11.3%	75%	0%	10.5%	0%	10
24.6%	3.1%	9.6%	75%	0%	12.3%	0%	11
35.6%	3.1%	5.7%	75%	0%	16.2%	0%	12

Compiler

Compiled 51 to 27 computations (47.1% saved)

sample42.0s (82.3%)

Memory

104.4MiB live, 44 517.2MiB allocated

Samples

29.9s	7 607×	5	exit
5.2s	23 871×	0	exit
1.6s	8 075×	0	valid
190.0ms	15×	4	valid
70.0ms	130×	1	valid
40.0ms	1×	4	exit
40.0ms	19×	3	valid
16.0ms	17×	2	valid
9.0ms	1×	3	exit
9.0ms	20×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 34.8s

ival-pow: 27.1s (77.9% of total)

adjust: 2.0s (5.8% of total)

ival-div: 1.6s (4.5% of total)

ival-exp: 915.0ms (2.6% of total)

ival-add: 855.0ms (2.5% of total)

ival-sub: 743.0ms (2.1% of total)

ival-mult: 626.0ms (1.8% of total)

ival-neg: 458.0ms (1.3% of total)

ival-<: 394.0ms (1.1% of total)

ival-and: 60.0ms (0.2% of total)

exact: 59.0ms (0.2% of total)

ival-assert: 16.0ms (0% of total)

Bogosity

preprocess107.0ms (0.2%)

Memory

13.9MiB live, 89.9MiB allocated

Algorithm

1×	egg-herbie

Rules

594×	`sub-neg`
524×	`div-sub`
496×	`associate-/r*`
464×	`times-frac`
418×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	606
1	250	606
2	673	606
3	1430	606
4	2139	606
5	2759	606
6	3172	606
7	3532	606
8	4111	606
9	4200	606
10	4216	606
11	4216	606
0	22	43
0	39	43
1	65	43
2	103	43
3	141	43
4	187	43
5	236	43
6	291	43
7	339	43
8	355	43
9	365	43
10	369	43
0	369	43

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs

(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))

Outputs

(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))

(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))) c_n)))

explain383.0ms (0.8%)

Memory

-4.4MiB live, 552.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
15	0	-	-	`(/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))`
3	0	-	-	`(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))`
1	1	(859.2902794564106 2.3149088804253183e-35 6.2455137945433845e-227 7.596833784644159e-172)	-	`(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)`
1	2	(5.239025091116137e-48 2.7461597088187937e+246 -978.6680815690999 6.638031076513018e+296)	-	`(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)`
0	0	-	-	`(neg.f64 s)`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`t`
0	0	-	-	`(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))`
0	0	-	-	`s`
0	0	-	-	`(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n))`
0	1	(859.2902794564106 2.3149088804253183e-35 6.2455137945433845e-227 7.596833784644159e-172)	-	`(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)`
0	0	-	-	`(neg.f64 t)`
0	0	-	-	`(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))`
0	0	-	-	`(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))`
0	0	-	-	`c_p`
0	0	-	-	`(exp.f64 (neg.f64 t))`
0	2	(6.3078227885234764e-211 1.464634550683329e-156 -2.990094332788274e-80 411.18222475411045)	-	`(exp.f64 (neg.f64 s))`
0	0	-	-	`c_n`
0	0	-	-	`(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))`
0	0	-	-	`(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))`
0	0	-	-	`(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))`
0	1	(1.4193590052497151e-14 293.8325672218114 -2.3973462766315704e-208 -2.215608762538676e-174)	-	`(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))`	u/u	15	0
↳	`(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)`	underflow	10
↳	`(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n))`	underflow	17
↳	`(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))`	underflow	4
↳	`(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))`	underflow	2
↳	`(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)`	underflow	9
↳	`(exp.f64 (neg.f64 s))`	underflow	4
↳	`(exp.f64 (neg.f64 t))`	underflow	2
↳	`(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))`	underflow	2
↳	`(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)`	underflow	7
↳	`(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))`	underflow	15
↳	`(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))`	underflow	1
↳	`(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)`	underflow	10
`-.f64`	`(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))`	cancellation	3	0
`pow.f64`	`(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)`	sensitivity	2	2
`exp.f64`	`(exp.f64 (neg.f64 s))`	sensitivity	2	0
`pow.f64`	`(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)`	sensitivity	1	0
`pow.f64`	`(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)`	uflow-rescue	1	0
↳	`(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)`	underflow	10
↳	`(exp.f64 (neg.f64 t))`	underflow	1
↳	`(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))`	underflow	1
`pow.f64`	`(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)`	sensitivity	1	1
`pow.f64`	`(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)`	sensitivity	1	0
`pow.f64`	`(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)`	uflow-rescue	1	0
↳	`(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)`	underflow	7
↳	`(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))`	underflow	1
↳	`(exp.f64 (neg.f64 t))`	underflow	1
↳	`(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))`	underflow	1

Confusion

	Predicted +	Predicted -
+	19	0
-	3	234

Precision

0.8636363636363636

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	19	0	0
-	3	3	231

Precision?

0.76

Recall?

1.0

Freqs

test

number	freq
0	234
1	17
2	5

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

91.0ms	502×	0	valid
6.0ms	6×	1	valid
2.0ms	2×	4	valid
1.0ms	2×	2	valid

Compiler

Compiled 462 to 92 computations (80.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-pow: 25.0ms (35.3% of total)

ival-div: 11.0ms (15.6% of total)

ival-exp: 10.0ms (14.1% of total)

ival-neg: 7.0ms (9.9% of total)

ival-add: 5.0ms (7.1% of total)

ival-sub: 5.0ms (7.1% of total)

ival-mult: 5.0ms (7.1% of total)

adjust: 1.0ms (1.4% of total)

ival-true: 1.0ms (1.4% of total)

ival-assert: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.6%	(/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))

Status

Accuracy

Program

▶

92.6%

(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))

Compiler

Compiled 47 to 22 computations (53.2% saved)

simplify45.0ms (0.1%)

Memory

-17.2MiB live, 21.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
✓	cost-diff	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
✓	cost-diff	(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n))
✓	cost-diff	(/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))

Rules

136×	`lower-*.f32`
132×	`lower-*.f64`
128×	`lower-fma.f64`
128×	`lower-fma.f32`
128×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	182
0	39	182
1	65	182
2	103	182
3	141	182
4	187	182
5	236	182
6	291	182
7	339	182
8	355	182
9	365	182
10	369	182
0	369	182

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(exp.f64 (neg.f64 s))
(neg.f64 s)
s
c_p
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
c_n
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
(exp.f64 (neg.f64 t))
(neg.f64 t)
t
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))

Outputs
(/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
(/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(exp.f64 (neg.f64 s))
(neg.f64 s)
s
c_p
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
c_n
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
(exp.f64 (neg.f64 t))
(neg.f64 t)
t
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t)))))

localize85.0ms (0.2%)

Memory

22.0MiB live, 214.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
✓	accuracy	99.6%	(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
✓	accuracy	99.2%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
✓	accuracy	94.3%	(/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))

Samples

49.0ms	251×	0	valid
1.0ms	3×	1	valid
1.0ms	1×	4	valid
0.0ms	1×	2	valid

Compiler

Compiled 184 to 24 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-pow: 10.0ms (27.9% of total)

ival-neg: 7.0ms (19.5% of total)

ival-div: 5.0ms (13.9% of total)

ival-exp: 5.0ms (13.9% of total)

ival-add: 3.0ms (8.4% of total)

ival-sub: 3.0ms (8.4% of total)

ival-mult: 3.0ms (8.4% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series458.0ms (0.9%)

Memory

0.6MiB live, 817.1MiB allocated

Counts

7 → 180

Calls

Call 1

Inputs
#<alt (/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))>
#<alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n))>
#<alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))>
#<alt (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)>
#<alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)>

Outputs
#<alt (/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (+ (* s (+ (* -1/2 (/ (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (* 1/2 (/ (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))))) (/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))))>
#<alt (+ (* s (+ (* -1/2 (/ (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (* 1/2 (/ (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (* s (+ (* -1/4 (/ (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))))))))) (/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))))>
#<alt (+ (* s (+ (* -1/2 (/ (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (* 1/2 (/ (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (* s (+ (* -1/4 (/ (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (* s (+ (* -1/2 (/ (* c_n (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (* 1/2 (/ (* c_p (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (/ (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))))))) (+ (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))))))))) (/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))>
#<alt (+ (* c_p (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))>
#<alt (+ (* c_p (- (+ (* c_p (- (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (+ (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))))))) (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))>
#<alt (+ (* c_p (- (+ (* c_p (- (+ (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* c_p (- (* 1/6 (/ (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 3) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (+ (* 1/6 (/ (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 3) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (+ (* 1/2 (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 2) (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))))) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (+ (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))))))))))) (+ (* 1/2 (/ (* (pow (log (/ 1 (+ 1 (exp (neg t))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (* (log (/ 1 (+ 1 (exp (neg t))))) (- (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))))))) (/ (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (/ (* (log (/ 1 (+ 1 (exp (neg t))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))) (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))>
#<alt (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))>
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#<alt (/ 1 (+ 1 (exp (* -1 s))))>
#<alt (/ 1 (+ 1 (exp (* -1 s))))>
#<alt (/ 1 (+ 1 (exp (* -1 s))))>
#<alt (/ 1 (+ 1 (exp (* -1 s))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 s))>
#<alt (+ 1/2 (* s (- (* 1/48 (pow s 2)) 1/4)))>
#<alt (+ 1/2 (* s (- (* (pow s 2) (+ 1/48 (* -1/480 (pow s 2)))) 1/4)))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 s)))))>
#<alt (pow 1/2 c_n)>
#<alt (+ (* -1/2 (* c_n (* t (pow 1/2 c_n)))) (pow 1/2 c_n))>
#<alt (+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n))>
#<alt (+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (+ (* t (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n))>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt 1>
#<alt (+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))>
#<alt (+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))))>
#<alt (+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)))))))>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow 1/2 c_p)>
#<alt (+ (* 1/2 (* c_p (* t (pow 1/2 c_p)))) (pow 1/2 c_p))>
#<alt (+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p))>
#<alt (+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (+ (* t (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p))>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)>
#<alt 1>
#<alt (+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg t)))))))>
#<alt (+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 2))))))>
#<alt (+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)))))))>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg t)))) c_p)>

Calls

45 calls:

Time	Variable		Point	Expression
137.0ms	s	@	inf	(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
115.0ms	t	@	inf	(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
78.0ms	c_p	@	inf	(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
38.0ms	t	@	-inf	(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
37.0ms	s	@	-inf	(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))

rewrite369.0ms (0.7%)

Memory

32.1MiB live, 589.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 536×	`lower-*.f32`
4 532×	`lower-*.f64`
3 976×	`lower-fma.f64`
3 976×	`lower-fma.f32`
3 722×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	109
0	39	109
1	151	109
2	1022	104
0	8612	91

Stop Event

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

Counts

7 → 395

Calls

Call 1

Inputs
(/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))))
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))))
(exp.f64 (-.f64 (fma.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))))) (fma.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))))
(exp.f64 (-.f64 (fma.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))))) (fma.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (neg.f64 (.f64 (log1p.f64 (exp.f64 (neg.f64 t))) c_p)))))
(exp.f64 (-.f64 (fma.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (neg.f64 (.f64 (log1p.f64 (exp.f64 (neg.f64 s))) c_p))) (fma.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))))
(exp.f64 (-.f64 (fma.f64 c_n (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (neg.f64 (.f64 (log1p.f64 (exp.f64 (neg.f64 s))) c_p))) (fma.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (neg.f64 (.f64 (log1p.f64 (exp.f64 (neg.f64 t))) c_p)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (.f64 (.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 (neg.f64 c_p)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (neg.f64 c_n)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))) (neg.f64 (.f64 (.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 (neg.f64 c_p)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (neg.f64 c_n)))))
(neg.f64 (neg.f64 (.f64 (.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 (neg.f64 c_p)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (neg.f64 c_n)))))
(neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 (neg.f64 c_p)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (neg.f64 c_n))))))
(neg.f64 (/.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 (neg.f64 c_p))))) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)))))
(neg.f64 (/.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (neg.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 (neg.f64 c_p)))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) (.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 (neg.f64 c_p)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 c_p)) (.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (neg.f64 c_n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (.f64 c_n #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 (neg.f64 c_p))))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (.f64 c_n #s(literal 1/2 binary64))))))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)))
(/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)))))
(/.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)))) (neg.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))))
(/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 (neg.f64 c_p)))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)))
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(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -3 binary64))) (.f64 c_n #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_n #s(literal 1 binary64))))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -2 binary64))) (.f64 c_n #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_n #s(literal 1 binary64))))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (/.f64 (.f64 c_n #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (/.f64 (*.f64 c_n #s(literal 1 binary64)) #s(literal 2 binary64))))
(.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (.f64 c_n #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (*.f64 c_n #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (.f64 c_n #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (.f64 (.f64 c_n #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (.f64 (*.f64 c_n #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 t))) c_p)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (neg.f64 c_p)))
(exp.f64 (.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (.f64 c_p #s(literal 1 binary64))))
(exp.f64 (.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -2 binary64))) (.f64 c_p #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (.f64 (neg.f64 c_p) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (neg.f64 (.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (*.f64 c_p #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))) (.f64 c_p #s(literal 1/2 binary64)) (neg.f64 (.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (*.f64 c_p #s(literal 1/2 binary64))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 c_p))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (.f64 #s(literal -1 binary64) (.f64 c_p #s(literal 1 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (.f64 #s(literal -2 binary64) (.f64 c_p #s(literal 1/2 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (.f64 (.f64 (neg.f64 c_p) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (fma.f64 (neg.f64 c_p) #s(literal 1/2 binary64) (*.f64 (neg.f64 c_p) #s(literal 1/2 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 c_p) #s(literal 1/2 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) (*.f64 c_p #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) (.f64 (.f64 c_p #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -2 binary64)) (*.f64 c_p #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (*.f64 (neg.f64 c_p) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal 2 binary64)) (*.f64 (neg.f64 c_p) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -2 binary64)) c_p) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 c_p) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 c_p)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 c_p)) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 c_p)) (pow.f64 #s(literal 1 binary64) (neg.f64 c_p)))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 c_p)) (pow.f64 #s(literal 1 binary64) (.f64 c_p #s(literal 1 binary64))))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (.f64 (neg.f64 c_p) #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (*.f64 (neg.f64 c_p) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 #s(literal -1 binary64) c_p) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p))
(.f64 (pow.f64 #s(literal 1 binary64) (.f64 c_p #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (neg.f64 c_p)))
(.f64 (pow.f64 #s(literal -1 binary64) (.f64 c_p #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) (*.f64 c_p #s(literal 1 binary64))))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (.f64 t #s(literal 3 binary64))))) (neg.f64 c_p)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 t) t)) (expm1.f64 (neg.f64 t)))) (neg.f64 c_p)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 t) t))) (neg.f64 c_p)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) (neg.f64 c_p)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1/2 binary64)) c_p) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1/2 binary64)) c_p))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (.f64 t #s(literal 3 binary64)))))) c_p) (pow.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 t) t)) (expm1.f64 (neg.f64 t))) c_p))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 t) t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) c_p))
(.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1/2 binary64)) (.f64 c_p #s(literal 1 binary64))) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1/2 binary64)) (*.f64 c_p #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (.f64 t #s(literal 3 binary64)))))) (.f64 c_p #s(literal 1 binary64))) (pow.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 t) t)) (expm1.f64 (neg.f64 t))) (.f64 c_p #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 t) t)))) (.f64 c_p #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (*.f64 c_p #s(literal 1 binary64))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (/.f64 (neg.f64 c_p) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (/.f64 (neg.f64 c_p) #s(literal 2 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) (/.f64 (.f64 c_p #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) (/.f64 (*.f64 c_p #s(literal 1 binary64)) #s(literal 2 binary64))))
(.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (.f64 (neg.f64 c_p) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (*.f64 (neg.f64 c_p) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (.f64 (neg.f64 c_p) #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (.f64 #s(literal -1 binary64) (.f64 (.f64 c_p #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (.f64 #s(literal -1 binary64) (.f64 (*.f64 c_p #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))

simplify461.0ms (0.9%)

Memory

-3.4MiB live, 837.1MiB allocated

Algorithm

1×	egg-herbie

Rules

14 340×	`lower-fma.f64`
14 340×	`lower-fma.f32`
7 066×	`lower-*.f64`
7 066×	`lower-*.f32`
5 282×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	434	7149
1	1362	6564
2	4967	6021
0	9063	5694

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
(/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(+ (* s (+ (* -1/2 (/ (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (* 1/2 (/ (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))))) (/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))))
(+ (* s (+ (* -1/2 (/ (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (* 1/2 (/ (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (* s (+ (* -1/4 (/ (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))))))))) (/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))))
(+ (* s (+ (* -1/2 (/ (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (* 1/2 (/ (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (* s (+ (* -1/4 (/ (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (* s (+ (* -1/2 (/ (* c_n (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (* 1/2 (/ (* c_p (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (+ (/ (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))))))) (+ (/ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))) (/ (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))))))))) (/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
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(+ (* c_p (+ (* c_p (+ (* 1/6 (* c_p (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 3) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)))) (* 1/2 (* (pow (log (/ 1 (+ 1 (exp (neg s))))) 2) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))))) (* (log (/ 1 (+ 1 (exp (neg s))))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)))) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(+ (* c_n (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(+ (* c_n (+ (* 1/2 (* c_n (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))) (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(+ (* c_n (+ (* c_n (+ (* 1/6 (* c_n (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 3) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))) (* 1/2 (* (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))))) (* (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)))) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p))
(pow 1/2 c_p)
(+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p))
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p))
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (+ (* s (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p))
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)
1
(+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg s)))))))
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg s))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg s))))) 2))))))
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg s))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (exp (neg s))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)))))))
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
1/2
(+ 1/2 (* 1/4 s))
(+ 1/2 (* s (+ 1/4 (* -1/48 (pow s 2)))))
(+ 1/2 (* s (+ 1/4 (* (pow s 2) (- (* 1/480 (pow s 2)) 1/48)))))
(/ 1 (+ 1 (exp (neg s))))
(/ 1 (+ 1 (exp (neg s))))
(/ 1 (+ 1 (exp (neg s))))
(/ 1 (+ 1 (exp (neg s))))
(/ 1 (+ 1 (exp (* -1 s))))
(/ 1 (+ 1 (exp (* -1 s))))
(/ 1 (+ 1 (exp (* -1 s))))
(/ 1 (+ 1 (exp (* -1 s))))
1/2
(+ 1/2 (* -1/4 s))
(+ 1/2 (* s (- (* 1/48 (pow s 2)) 1/4)))
(+ 1/2 (* s (- (* (pow s 2) (+ 1/48 (* -1/480 (pow s 2)))) 1/4)))
(- 1 (/ 1 (+ 1 (exp (neg s)))))
(- 1 (/ 1 (+ 1 (exp (neg s)))))
(- 1 (/ 1 (+ 1 (exp (neg s)))))
(- 1 (/ 1 (+ 1 (exp (neg s)))))
(- 1 (/ 1 (+ 1 (exp (* -1 s)))))
(- 1 (/ 1 (+ 1 (exp (* -1 s)))))
(- 1 (/ 1 (+ 1 (exp (* -1 s)))))
(- 1 (/ 1 (+ 1 (exp (* -1 s)))))
(pow 1/2 c_n)
(+ (* -1/2 (* c_n (* t (pow 1/2 c_n)))) (pow 1/2 c_n))
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n))
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (+ (* t (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
1
(+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)))))))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow 1/2 c_p)
(+ (* 1/2 (* c_p (* t (pow 1/2 c_p)))) (pow 1/2 c_p))
(+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p))
(+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (+ (* t (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p))
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)
1
(+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg t)))))))
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 2))))))
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)))))))
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)

Outputs
(/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(/.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)))
(+ (* s (+ (* -1/2 (/ (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))) (* 1/2 (/ (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))))) (/ (* (pow 1/2 c_n) (pow 1/2 c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))))
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(fma.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (/.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p))) (.f64 s (fma.f64 s (fma.f64 s (fma.f64 c_n (.f64 (/.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (.f64 c_p (fma.f64 c_p #s(literal 1/8 binary64) #s(literal -1/8 binary64))))) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p))) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p))) (fma.f64 (.f64 c_n c_n) (fma.f64 c_n #s(literal -1/48 binary64) #s(literal 1/16 binary64)) (.f64 (.f64 c_p c_p) (fma.f64 c_p #s(literal 1/48 binary64) #s(literal -1/16 binary64)))) (/.f64 (.f64 (.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) c_n) c_p) (pow.f64 #s(literal 1/2 binary64) (+.f64 c_p #s(literal 1 binary64)))) (.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)))) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p))))) (fma.f64 c_n (.f64 (/.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (.f64 c_p (pow.f64 #s(literal 1/2 binary64) c_p))) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p))) #s(literal -1/4 binary64)) (.f64 (/.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p))) (fma.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)) (.f64 c_p (fma.f64 c_p #s(literal 1/8 binary64) #s(literal -1/8 binary64))))))) (.f64 (/.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p))) (fma.f64 c_n #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) c_p))))))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
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eval90.0ms (0.2%)

Memory: -5.1MiB live, 181.3MiB allocated
Compiler: Compiled 34 461 to 1 946 computations (94.4% saved)

prune80.0ms (0.2%)

Memory

7.4MiB live, 166.1MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	622	4	626
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	623	4	627

Accuracy

100.0%

Counts

627 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.1%	(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p))
▶	95.4%	(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
▶	92.0%	(/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
▶	98.5%	(exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))))

Compiler

Compiled 126 to 81 computations (35.7% saved)

simplify407.0ms (0.8%)

Memory

-22.8MiB live, 348.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
✓	cost-diff	576	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
✓	cost-diff	576	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
✓	cost-diff	6720	(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
✓	cost-diff	0	(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)
✓	cost-diff	6464	(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
✓	cost-diff	0	(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n))
✓	cost-diff	320	(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
✓	cost-diff	576	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
✓	cost-diff	6464	(/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
✓	cost-diff	0	(neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))
✓	cost-diff	0	(fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))
✓	cost-diff	256	(-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))
✓	cost-diff	17664	(exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))))

Rules

6 566×	`lower-fma.f32`
6 564×	`lower-fma.f64`
1 898×	`lower-*.f32`
1 892×	`lower-*.f64`
1 640×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	520
0	84	516
1	129	513
2	210	510
3	384	499
4	745	475
5	1278	474
6	2255	474
7	3431	474
8	4524	474
9	5317	474
10	6261	474
11	6956	474
12	7259	474
13	7433	474
14	7962	474
0	8082	453

Stop Event

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

Calls

Call 1

Inputs
(exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))))
(fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))
c_p
(-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))
(neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))
(log1p.f64 (exp.f64 (neg.f64 s)))
(exp.f64 (neg.f64 s))
(neg.f64 s)
s
(neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))
(log1p.f64 (exp.f64 (neg.f64 t)))
(exp.f64 (neg.f64 t))
(neg.f64 t)
t
(*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))
c_n
(-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))
(log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))
#s(literal 1 binary64)
(-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))
#s(literal -1 binary64)
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
(/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(exp.f64 (neg.f64 s))
(neg.f64 s)
s
c_p
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
c_n
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
(exp.f64 (neg.f64 t))
(neg.f64 t)
t
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
#s(literal -1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(exp.f64 (neg.f64 s))
(neg.f64 s)
s
c_n
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
(exp.f64 (neg.f64 t))
(neg.f64 t)
t
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(exp.f64 (neg.f64 s))
(neg.f64 s)
s
c_p
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
(exp.f64 (neg.f64 t))
(neg.f64 t)
t

Outputs
(exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))))
(*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t)))))) c_n))
(fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))
(fma.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))))))
c_p
(-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))
(-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))
(neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))
(log1p.f64 (exp.f64 (neg.f64 s)))
(exp.f64 (neg.f64 s))
(neg.f64 s)
s
(neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))
(log1p.f64 (exp.f64 (neg.f64 t)))
(exp.f64 (neg.f64 t))
(neg.f64 t)
t
(*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))
(*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t)))))))
c_n
(-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))
(-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))))
(log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))
#s(literal 1 binary64)
(-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))
#s(literal -1 binary64)
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
(log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t)))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
(+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))
(/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t)))))) c_n) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))
(exp.f64 (neg.f64 s))
(neg.f64 s)
s
c_p
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) c_n)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))))
c_n
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
(+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))
(exp.f64 (neg.f64 t))
(neg.f64 t)
t
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t)))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) c_n)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))
#s(literal -1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))
(exp.f64 (neg.f64 s))
(neg.f64 s)
s
c_n
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t)))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
(+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))
(exp.f64 (neg.f64 t))
(neg.f64 t)
t
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p))
(pow.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(pow.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (neg.f64 c_p))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))
(exp.f64 (neg.f64 s))
(neg.f64 s)
s
c_p
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
(pow.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) (neg.f64 c_p))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
(+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))
(exp.f64 (neg.f64 t))
(neg.f64 t)
t

localize563.0ms (1.1%)

Memory

42.6MiB live, 627.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
✓	accuracy	97.0%	(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p))
✓	accuracy	99.9%	(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
✓	accuracy	99.6%	(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
✓	accuracy	99.2%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
✓	accuracy	97.4%	(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
✓	accuracy	99.6%	(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
✓	accuracy	99.2%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
✓	accuracy	97.3%	(/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
✓	accuracy	99.6%	(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
✓	accuracy	99.2%	(log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))))
✓	accuracy	14.0%	(-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))
✓	accuracy	13.9%	(-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))

Samples

357.0ms	212×	1	valid
24.0ms	13×	2	valid
10.0ms	26×	0	valid
6.0ms	2×	4	exit
3.0ms	1×	4	valid
1.0ms	2×	1	exit

Compiler

Compiled 564 to 47 computations (91.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 316.0ms

adjust: 71.0ms (22.5% of total)

ival-pow: 57.0ms (18.1% of total)

ival-exp: 52.0ms (16.5% of total)

ival-log1p: 45.0ms (14.3% of total)

ival-div: 42.0ms (13.3% of total)

ival-sub: 19.0ms (6% of total)

ival-mult: 11.0ms (3.5% of total)

ival-add: 11.0ms (3.5% of total)

ival-neg: 6.0ms (1.9% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series395.0ms (0.8%)

Memory

11.1MiB live, 365.0MiB allocated

Counts

23 → 552

Calls

Call 1

Inputs
#<alt (exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))))>
#<alt (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))>
#<alt (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))>
#<alt (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))>
#<alt (/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))>
#<alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)>
#<alt (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))>
#<alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n))>
#<alt (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))>
#<alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))>
#<alt (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))>
#<alt (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p))>
#<alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))>
#<alt (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))>
#<alt (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))))>
#<alt (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))>
#<alt (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)>
#<alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)>
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))>

Outputs
#<alt (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))>
#<alt (+ (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* c_p (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))))>
#<alt (+ (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* c_p (+ (* 1/2 (* c_p (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 2)))) (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))))>
#<alt (+ (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* c_p (+ (* c_p (+ (* 1/6 (* c_p (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 3)))) (* 1/2 (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 2))))) (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))))>
#<alt (exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))>
#<alt (exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))>
#<alt (exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))>
#<alt (exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))>
#<alt (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))))>
#<alt (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))))>
#<alt (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))))>
#<alt (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))))>
#<alt (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2)))))>
#<alt (+ (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (* s (* (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* -1/2 c_n) (* 1/2 c_p)))))>
#<alt (+ (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (* s (+ (* s (* (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* -1/8 c_n) (+ (* -1/8 c_p) (* 1/2 (pow (+ (* -1/2 c_n) (* 1/2 c_p)) 2)))))) (* (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* -1/2 c_n) (* 1/2 c_p))))))>
#<alt (+ (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (* s (+ (* s (+ (* s (* (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* 1/6 (pow (+ (* -1/2 c_n) (* 1/2 c_p)) 3)) (* (+ (* -1/2 c_n) (* 1/2 c_p)) (+ (* -1/8 c_n) (* -1/8 c_p)))))) (* (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* -1/8 c_n) (+ (* -1/8 c_p) (* 1/2 (pow (+ (* -1/2 c_n) (* 1/2 c_p)) 2))))))) (* (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* -1/2 c_n) (* 1/2 c_p))))))>
#<alt (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))))>
#<alt (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))))>
#<alt (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))))>
#<alt (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))))>
#<alt (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (* -1 s))))))))>
#<alt (exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (* -1 s))))))))>
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#<alt (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))>
#<alt (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))>
#<alt (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))>
#<alt (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))>
#<alt (- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))>
#<alt (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))>
#<alt (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* 1/2 t)) (log 1/2))>
#<alt (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* 1/8 t)))) (log 1/2))>
#<alt (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2))))))) (log 1/2))>
#<alt (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))>
#<alt (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))>
#<alt (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))>
#<alt (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))>
#<alt (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))>
#<alt (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))>
#<alt (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))>
#<alt (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))>
#<alt (log 1/2)>
#<alt (+ (log 1/2) (* -1/2 s))>
#<alt (+ (log 1/2) (* s (- (* -1/8 s) 1/2)))>
#<alt (+ (log 1/2) (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2)))>
#<alt (log (- 1 (/ 1 (+ 1 (exp (neg s))))))>
#<alt (log (- 1 (/ 1 (+ 1 (exp (neg s))))))>
#<alt (log (- 1 (/ 1 (+ 1 (exp (neg s))))))>
#<alt (log (- 1 (/ 1 (+ 1 (exp (neg s))))))>
#<alt (log (- 1 (/ 1 (+ 1 (exp (* -1 s))))))>
#<alt (log (- 1 (/ 1 (+ 1 (exp (* -1 s))))))>
#<alt (log (- 1 (/ 1 (+ 1 (exp (* -1 s))))))>
#<alt (log (- 1 (/ 1 (+ 1 (exp (* -1 s))))))>
#<alt (log 1/2)>
#<alt (+ (log 1/2) (* -1/2 t))>
#<alt (+ (log 1/2) (* t (- (* -1/8 t) 1/2)))>
#<alt (+ (log 1/2) (* t (- (* t (- (* 1/192 (pow t 2)) 1/8)) 1/2)))>
#<alt (log (- 1 (/ 1 (+ 1 (exp (neg t))))))>
#<alt (log (- 1 (/ 1 (+ 1 (exp (neg t))))))>
#<alt (log (- 1 (/ 1 (+ 1 (exp (neg t))))))>
#<alt (log (- 1 (/ 1 (+ 1 (exp (neg t))))))>
#<alt (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))>
#<alt (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))>
#<alt (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))>
#<alt (log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 s))>
#<alt (+ 1/2 (* s (- (* 1/48 (pow s 2)) 1/4)))>
#<alt (+ 1/2 (* s (- (* (pow s 2) (+ 1/48 (* -1/480 (pow s 2)))) 1/4)))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 s)))))>
#<alt (pow 1/2 c_n)>
#<alt (+ (* -1/2 (* c_n (* t (pow 1/2 c_n)))) (pow 1/2 c_n))>
#<alt (+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n))>
#<alt (+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (+ (* t (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n))>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt 1>
#<alt (+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))>
#<alt (+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))))>
#<alt (+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)))))))>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow 1/2 c_n)>
#<alt (+ (* -1/2 (* c_n (* t (pow 1/2 c_n)))) (pow 1/2 c_n))>
#<alt (+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n))>
#<alt (+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (+ (* t (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n))>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt 1>
#<alt (+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))>
#<alt (+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))))>
#<alt (+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)))))))>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt 2>
#<alt (+ 2 (* -1 s))>
#<alt (+ 2 (* s (- (* 1/2 s) 1)))>
#<alt (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))>
#<alt (+ 1 (exp (neg s)))>
#<alt (+ 1 (exp (neg s)))>
#<alt (+ 1 (exp (neg s)))>
#<alt (+ 1 (exp (neg s)))>
#<alt (+ 1 (exp (* -1 s)))>
#<alt (+ 1 (exp (* -1 s)))>
#<alt (+ 1 (exp (* -1 s)))>
#<alt (+ 1 (exp (* -1 s)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 t))>
#<alt (+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))>
#<alt (+ 1/2 (* t (+ 1/4 (* (pow t 2) (- (* 1/480 (pow t 2)) 1/48)))))>
#<alt (/ 1 (+ 1 (exp (neg t))))>
#<alt (/ 1 (+ 1 (exp (neg t))))>
#<alt (/ 1 (+ 1 (exp (neg t))))>
#<alt (/ 1 (+ 1 (exp (neg t))))>
#<alt (/ 1 (+ 1 (exp (* -1 t))))>
#<alt (/ 1 (+ 1 (exp (* -1 t))))>
#<alt (/ 1 (+ 1 (exp (* -1 t))))>
#<alt (/ 1 (+ 1 (exp (* -1 t))))>

Calls

138 calls:

Time	Variable		Point	Expression
150.0ms	c_n	@	-inf	(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
58.0ms	s	@	inf	(exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))))
53.0ms	t	@	inf	(exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))))
29.0ms	t	@	-inf	(exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t))))))))))
25.0ms	c_n	@	0	(+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (/ 1 (- -1 (exp (neg s)))))) (log (+ 1 (/ -1 (+ 1 (exp (neg t)))))))))

rewrite274.0ms (0.5%)

Memory

-6.5MiB live, 546.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 078×	`lower-*.f32`
3 072×	`lower-*.f64`
2 916×	`lower-/.f32`
2 902×	`lower-/.f64`
1 964×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	320
0	84	310
1	333	294
2	2459	280
0	8565	279

Stop Event

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

Counts

23 → 786

Calls

Call 1

Inputs
(exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))))
(-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))
(fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))
(neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))
(/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
(-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))
(log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))))
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))

Outputs
(exp.f64 (fma.f64 c_p (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) (*.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))))))
(/.f64 (exp.f64 (/.f64 (pow.f64 (.f64 c_p (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) #s(literal 2 binary64)) (-.f64 (.f64 c_p (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))))))) (exp.f64 (/.f64 (pow.f64 (.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))))) #s(literal 2 binary64)) (-.f64 (.f64 c_p (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))))))))
(pow.f64 (exp.f64 (+.f64 (pow.f64 (.f64 c_p (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) #s(literal 3 binary64)) (pow.f64 (.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))))) (-.f64 (.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))))) (.f64 c_p (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))))) (pow.f64 (.f64 c_p (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (-.f64 (pow.f64 (.f64 c_p (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) #s(literal 2 binary64)) (pow.f64 (.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 c_p (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (.f64 c_n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))))))))
(.f64 (pow.f64 (.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_p) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n) (pow.f64 (.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_p))
(log.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))))
(+.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (log1p.f64 (exp.f64 (neg.f64 t))))
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(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 t) t)))) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 t) t)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) #s(literal -1 binary64)))

simplify517.0ms (1%)

Memory

-27.4MiB live, 1 002.8MiB allocated

Algorithm

1×	egg-herbie

Rules

12 910×	`lower-fma.f64`
12 910×	`lower-fma.f32`
8 148×	`lower-*.f64`
8 148×	`lower-*.f32`
5 264×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	893	15112
1	2698	14777
0	8237	13037

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 552

Calls

Call 1

Inputs
(exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))
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(+ (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* c_p (+ (* 1/2 (* c_p (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 2)))) (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))))
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(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))
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(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))))
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))))
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))))
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(exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2)))))
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(+ (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (* s (+ (* s (* (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* -1/8 c_n) (+ (* -1/8 c_p) (* 1/2 (pow (+ (* -1/2 c_n) (* 1/2 c_p)) 2)))))) (* (exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* -1/2 c_n) (* 1/2 c_p))))))
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(- (log (+ 1 (exp (neg t)))) (log 2))
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(* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
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(* -1 (* c_p (+ (* -1 (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))) (* -1 (/ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) c_p)))))
(* -1 (* c_p (+ (* -1 (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))) (* -1 (/ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) c_p)))))
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(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))
(pow 1/2 c_p)
(+ (* 1/2 (* c_p (* t (pow 1/2 c_p)))) (pow 1/2 c_p))
(+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p))
(+ (* t (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* t (+ (* t (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p))
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)
1
(+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg t)))))))
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 2))))))
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg t))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (exp (neg t))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg t))))) 2)))))))
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
1/2
(+ 1/2 (* 1/4 s))
(+ 1/2 (* s (+ 1/4 (* -1/48 (pow s 2)))))
(+ 1/2 (* s (+ 1/4 (* (pow s 2) (- (* 1/480 (pow s 2)) 1/48)))))
(/ 1 (+ 1 (exp (neg s))))
(/ 1 (+ 1 (exp (neg s))))
(/ 1 (+ 1 (exp (neg s))))
(/ 1 (+ 1 (exp (neg s))))
(/ 1 (+ 1 (exp (* -1 s))))
(/ 1 (+ 1 (exp (* -1 s))))
(/ 1 (+ 1 (exp (* -1 s))))
(/ 1 (+ 1 (exp (* -1 s))))
(- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(- (+ (log 1/2) (* -1/2 s)) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(- (+ (log 1/2) (* s (- (* -1/8 s) 1/2))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(- (+ (log 1/2) (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(- (log (- 1 (/ 1 (+ 1 (exp (* -1 s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))
(- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* 1/2 t)) (log 1/2))
(- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* 1/8 t)))) (log 1/2))
(- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* t (+ 1/2 (* t (+ 1/8 (* -1/192 (pow t 2))))))) (log 1/2))
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))
(- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))
(log 1/2)
(+ (log 1/2) (* -1/2 s))
(+ (log 1/2) (* s (- (* -1/8 s) 1/2)))
(+ (log 1/2) (* s (- (* s (- (* 1/192 (pow s 2)) 1/8)) 1/2)))
(log (- 1 (/ 1 (+ 1 (exp (neg s))))))
(log (- 1 (/ 1 (+ 1 (exp (neg s))))))
(log (- 1 (/ 1 (+ 1 (exp (neg s))))))
(log (- 1 (/ 1 (+ 1 (exp (neg s))))))
(log (- 1 (/ 1 (+ 1 (exp (* -1 s))))))
(log (- 1 (/ 1 (+ 1 (exp (* -1 s))))))
(log (- 1 (/ 1 (+ 1 (exp (* -1 s))))))
(log (- 1 (/ 1 (+ 1 (exp (* -1 s))))))
(log 1/2)
(+ (log 1/2) (* -1/2 t))
(+ (log 1/2) (* t (- (* -1/8 t) 1/2)))
(+ (log 1/2) (* t (- (* t (- (* 1/192 (pow t 2)) 1/8)) 1/2)))
(log (- 1 (/ 1 (+ 1 (exp (neg t))))))
(log (- 1 (/ 1 (+ 1 (exp (neg t))))))
(log (- 1 (/ 1 (+ 1 (exp (neg t))))))
(log (- 1 (/ 1 (+ 1 (exp (neg t))))))
(log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))
(log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))
(log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))
(log (- 1 (/ 1 (+ 1 (exp (* -1 t))))))
1/2
(+ 1/2 (* -1/4 s))
(+ 1/2 (* s (- (* 1/48 (pow s 2)) 1/4)))
(+ 1/2 (* s (- (* (pow s 2) (+ 1/48 (* -1/480 (pow s 2)))) 1/4)))
(- 1 (/ 1 (+ 1 (exp (neg s)))))
(- 1 (/ 1 (+ 1 (exp (neg s)))))
(- 1 (/ 1 (+ 1 (exp (neg s)))))
(- 1 (/ 1 (+ 1 (exp (neg s)))))
(- 1 (/ 1 (+ 1 (exp (* -1 s)))))
(- 1 (/ 1 (+ 1 (exp (* -1 s)))))
(- 1 (/ 1 (+ 1 (exp (* -1 s)))))
(- 1 (/ 1 (+ 1 (exp (* -1 s)))))
(pow 1/2 c_n)
(+ (* -1/2 (* c_n (* t (pow 1/2 c_n)))) (pow 1/2 c_n))
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n))
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (+ (* t (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
1
(+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)))))))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow 1/2 c_n)
(+ (* -1/2 (* c_n (* t (pow 1/2 c_n)))) (pow 1/2 c_n))
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n))
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (+ (* t (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
1
(+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)))))))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
2
(+ 2 (* -1 s))
(+ 2 (* s (- (* 1/2 s) 1)))
(+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))
(+ 1 (exp (neg s)))
(+ 1 (exp (neg s)))
(+ 1 (exp (neg s)))
(+ 1 (exp (neg s)))
(+ 1 (exp (* -1 s)))
(+ 1 (exp (* -1 s)))
(+ 1 (exp (* -1 s)))
(+ 1 (exp (* -1 s)))
1/2
(+ 1/2 (* 1/4 t))
(+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))
(+ 1/2 (* t (+ 1/4 (* (pow t 2) (- (* 1/480 (pow t 2)) 1/48)))))
(/ 1 (+ 1 (exp (neg t))))
(/ 1 (+ 1 (exp (neg t))))
(/ 1 (+ 1 (exp (neg t))))
(/ 1 (+ 1 (exp (neg t))))
(/ 1 (+ 1 (exp (* -1 t))))
(/ 1 (+ 1 (exp (* -1 t))))
(/ 1 (+ 1 (exp (* -1 t))))
(/ 1 (+ 1 (exp (* -1 t))))

Outputs
(exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))
(exp.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))
(+ (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* c_p (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))))
(fma.f64 (exp.f64 (.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))) (.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))) (exp.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))))
(+ (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* c_p (+ (* 1/2 (* c_p (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 2)))) (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))))
(fma.f64 c_p (fma.f64 (exp.f64 (.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))) (.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 2 binary64)) c_p)))) (exp.f64 (.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))))
(+ (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (* c_p (+ (* c_p (+ (* 1/6 (* c_p (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 3)))) (* 1/2 (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (pow (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))) 2))))) (* (exp (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))))
(fma.f64 c_p (fma.f64 c_p (fma.f64 (exp.f64 (.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))) (.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) c_p) (pow.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 3 binary64))) (exp.f64 (.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))))) (.f64 (exp.f64 (.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))))) (exp.f64 (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))))
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))))))
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))))))
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))))))
(exp (- (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (log (+ 1 (exp (neg t)))))) (* c_p (log (+ 1 (exp (neg s)))))))
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))))))
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))))
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))))))
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))))
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))))))
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))))
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))))))
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))))
(exp.f64 (fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))))))
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1/2
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(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
(- 1 (/ 1 (+ 1 (exp (* -1 s)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
(- 1 (/ 1 (+ 1 (exp (* -1 s)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
(- 1 (/ 1 (+ 1 (exp (* -1 s)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
(- 1 (/ 1 (+ 1 (exp (* -1 s)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
(pow 1/2 c_n)
(pow.f64 #s(literal 1/2 binary64) c_n)
(+ (* -1/2 (* c_n (* t (pow 1/2 c_n)))) (pow 1/2 c_n))
(fma.f64 c_n (.f64 #s(literal -1/2 binary64) (.f64 t (pow.f64 #s(literal 1/2 binary64) c_n))) (pow.f64 #s(literal 1/2 binary64) c_n))
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n))
(fma.f64 t (.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (fma.f64 t (fma.f64 c_n #s(literal -1/8 binary64) (.f64 c_n (.f64 c_n #s(literal 1/8 binary64)))) (.f64 c_n #s(literal -1/2 binary64)))) (pow.f64 #s(literal 1/2 binary64) c_n))
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (+ (* t (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n))
(fma.f64 t (fma.f64 t (.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (fma.f64 t (fma.f64 c_n (.f64 (.f64 c_n c_n) #s(literal -1/48 binary64)) (.f64 c_n (.f64 c_n #s(literal 1/16 binary64)))) (fma.f64 c_n #s(literal -1/8 binary64) (.f64 c_n (.f64 c_n #s(literal 1/8 binary64)))))) (.f64 c_n (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) #s(literal -1/2 binary64)))) (pow.f64 #s(literal 1/2 binary64) c_n))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
1
#s(literal 1 binary64)
(+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(fma.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) #s(literal 1 binary64))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))))
(fma.f64 c_n (fma.f64 (*.f64 c_n #s(literal 1/2 binary64)) (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) #s(literal 2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)))))))
(fma.f64 c_n (fma.f64 c_n (fma.f64 (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) #s(literal 3 binary64)) (.f64 c_n #s(literal 1/6 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) #s(literal 2 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow 1/2 c_n)
(pow.f64 #s(literal 1/2 binary64) c_n)
(+ (* -1/2 (* c_n (* t (pow 1/2 c_n)))) (pow 1/2 c_n))
(fma.f64 c_n (.f64 #s(literal -1/2 binary64) (.f64 t (pow.f64 #s(literal 1/2 binary64) c_n))) (pow.f64 #s(literal 1/2 binary64) c_n))
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n))
(fma.f64 t (.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (fma.f64 t (fma.f64 c_n #s(literal -1/8 binary64) (.f64 c_n (.f64 c_n #s(literal 1/8 binary64)))) (.f64 c_n #s(literal -1/2 binary64)))) (pow.f64 #s(literal 1/2 binary64) c_n))
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (+ (* t (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n))
(fma.f64 t (fma.f64 t (.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (fma.f64 t (fma.f64 c_n (.f64 (.f64 c_n c_n) #s(literal -1/48 binary64)) (.f64 c_n (.f64 c_n #s(literal 1/16 binary64)))) (fma.f64 c_n #s(literal -1/8 binary64) (.f64 c_n (.f64 c_n #s(literal 1/8 binary64)))))) (.f64 c_n (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) #s(literal -1/2 binary64)))) (pow.f64 #s(literal 1/2 binary64) c_n))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
1
#s(literal 1 binary64)
(+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(fma.f64 c_n (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) #s(literal 1 binary64))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))))
(fma.f64 c_n (fma.f64 (*.f64 c_n #s(literal 1/2 binary64)) (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) #s(literal 2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)))))))
(fma.f64 c_n (fma.f64 c_n (fma.f64 (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) #s(literal 3 binary64)) (.f64 c_n #s(literal 1/6 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) #s(literal 2 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) #s(literal 1 binary64))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
2
#s(literal 2 binary64)
(+ 2 (* -1 s))
(-.f64 #s(literal 2 binary64) s)
(+ 2 (* s (- (* 1/2 s) 1)))
(fma.f64 s (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))
(+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))
(fma.f64 s (fma.f64 s (fma.f64 s #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))
(+ 1 (exp (neg s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(+ 1 (exp (neg s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(+ 1 (exp (neg s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(+ 1 (exp (neg s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(+ 1 (exp (* -1 s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(+ 1 (exp (* -1 s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(+ 1 (exp (* -1 s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(+ 1 (exp (* -1 s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 t))
(fma.f64 t #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* t (+ 1/4 (* -1/48 (pow t 2)))))
(fma.f64 t (fma.f64 (*.f64 t t) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* t (+ 1/4 (* (pow t 2) (- (* 1/480 (pow t 2)) 1/48)))))
(fma.f64 t (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/ 1 (+ 1 (exp (neg t))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
(/ 1 (+ 1 (exp (neg t))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
(/ 1 (+ 1 (exp (neg t))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
(/ 1 (+ 1 (exp (neg t))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
(/ 1 (+ 1 (exp (* -1 t))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
(/ 1 (+ 1 (exp (* -1 t))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
(/ 1 (+ 1 (exp (* -1 t))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
(/ 1 (+ 1 (exp (* -1 t))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))

eval256.0ms (0.5%)

Memory: 33.4MiB live, 651.9MiB allocated
Compiler: Compiled 70 113 to 4 584 computations (93.5% saved)

prune240.0ms (0.5%)

Memory

-6.5MiB live, 351.4MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	1 784	5	1 789
Fresh	0	0	0
Picked	4	0	4
Done	0	0	0
Total	1 788	5	1 793

Accuracy

100.0%

Counts

1 793 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.2%	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
▶	95.4%	(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 #s(literal 1/2 binary64) c_n))
▶	93.3%	(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) #s(literal 1 binary64))
▶	93.1%	(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
▶	98.3%	#s(literal 1 binary64)

Compiler

Compiled 142 to 112 computations (21.1% saved)

simplify10.0ms (0%)

Memory

8.6MiB live, 8.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
✓	cost-diff	0	(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)
✓	cost-diff	0	(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 #s(literal 1/2 binary64) c_n))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
✓	cost-diff	0	(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)
✓	cost-diff	704	(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
✓	cost-diff	0	(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
✓	cost-diff	0	(exp.f64 (neg.f64 s))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
✓	cost-diff	0	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)

Rules

36×	`lower-*.f64`
36×	`lower-*.f32`
32×	`lower-/.f32`
32×	`lower-+.f32`
24×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	198
0	43	196
1	57	196
2	67	196
3	76	196
4	82	196
5	95	196
6	111	196
7	117	196
0	117	196

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(literal 1 binary64)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(exp.f64 (neg.f64 s))
(neg.f64 s)
s
c_p
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
#s(literal 1 binary64)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
#s(literal -1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
(exp.f64 (neg.f64 t))
(neg.f64 t)
t
c_n
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
#s(literal -1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(exp.f64 (neg.f64 s))
(neg.f64 s)
s
c_n
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 #s(literal 1/2 binary64) c_n))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
#s(literal -1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(exp.f64 (neg.f64 s))
(neg.f64 s)
s
c_n
(pow.f64 #s(literal 1/2 binary64) c_n)
#s(literal 1/2 binary64)

Outputs
#s(literal 1 binary64)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(exp.f64 (neg.f64 s))
(neg.f64 s)
s
c_p
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
#s(literal 1 binary64)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
#s(literal -1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
(exp.f64 (neg.f64 t))
(neg.f64 t)
t
c_n
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
#s(literal -1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(exp.f64 (neg.f64 s))
(neg.f64 s)
s
c_n
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 #s(literal 1/2 binary64) c_n))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
#s(literal -1 binary64)
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(exp.f64 (neg.f64 s))
(neg.f64 s)
s
c_n
(pow.f64 #s(literal 1/2 binary64) c_n)
#s(literal 1/2 binary64)

localize154.0ms (0.3%)

Memory

0.3MiB live, 113.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
✓	accuracy	99.9%	(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
✓	accuracy	99.2%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
✓	accuracy	97.4%	(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 #s(literal 1/2 binary64) c_n))
✓	accuracy	100.0%	(exp.f64 (neg.f64 s))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
✓	accuracy	99.9%	(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
✓	accuracy	99.2%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
✓	accuracy	99.6%	(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
✓	accuracy	100.0%	(neg.f64 s)
✓	accuracy	100.0%	(exp.f64 (neg.f64 s))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))

Samples

107.0ms	251×	0	valid
1.0ms	1×	4	valid
1.0ms	2×	1	valid
1.0ms	1×	2	valid
0.0ms	1×	0	exit

Compiler

Compiled 200 to 27 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-pow: 19.0ms (46.8% of total)

ival-div: 9.0ms (22.2% of total)

ival-add: 5.0ms (12.3% of total)

ival-exp: 4.0ms (9.9% of total)

ival-neg: 2.0ms (4.9% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series61.0ms (0.1%)

Memory

-27.2MiB live, 29.6MiB allocated

Counts

15 → 252

Calls

Call 1

Inputs
#<alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))>
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))>
#<alt (exp.f64 (neg.f64 s))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))>
#<alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))>
#<alt (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))>
#<alt (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) #s(literal 1 binary64))>
#<alt (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))>
#<alt (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))>
#<alt (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 #s(literal 1/2 binary64) c_n))>
#<alt (neg.f64 s)>
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))>

Outputs
#<alt (pow 1/2 c_p)>
#<alt (+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p))>
#<alt (+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p))>
#<alt (+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (+ (* s (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p))>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)>
#<alt 1>
#<alt (+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg s)))))))>
#<alt (+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg s))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg s))))) 2))))))>
#<alt (+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg s))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (exp (neg s))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)))))))>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt (pow (/ 1 (+ 1 (exp (neg s)))) c_p)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 s))>
#<alt (+ 1/2 (* s (+ 1/4 (* -1/48 (pow s 2)))))>
#<alt (+ 1/2 (* s (+ 1/4 (* (pow s 2) (- (* 1/480 (pow s 2)) 1/48)))))>
#<alt (/ 1 (+ 1 (exp (neg s))))>
#<alt (/ 1 (+ 1 (exp (neg s))))>
#<alt (/ 1 (+ 1 (exp (neg s))))>
#<alt (/ 1 (+ 1 (exp (neg s))))>
#<alt (/ 1 (+ 1 (exp (* -1 s))))>
#<alt (/ 1 (+ 1 (exp (* -1 s))))>
#<alt (/ 1 (+ 1 (exp (* -1 s))))>
#<alt (/ 1 (+ 1 (exp (* -1 s))))>
#<alt 2>
#<alt (+ 2 (* -1 s))>
#<alt (+ 2 (* s (- (* 1/2 s) 1)))>
#<alt (+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))>
#<alt (+ 1 (exp (neg s)))>
#<alt (+ 1 (exp (neg s)))>
#<alt (+ 1 (exp (neg s)))>
#<alt (+ 1 (exp (neg s)))>
#<alt (+ 1 (exp (* -1 s)))>
#<alt (+ 1 (exp (* -1 s)))>
#<alt (+ 1 (exp (* -1 s)))>
#<alt (+ 1 (exp (* -1 s)))>
#<alt 1>
#<alt (+ 1 (* -1 s))>
#<alt (+ 1 (* s (- (* 1/2 s) 1)))>
#<alt (+ 1 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))>
#<alt (exp (neg s))>
#<alt (exp (neg s))>
#<alt (exp (neg s))>
#<alt (exp (neg s))>
#<alt (exp (* -1 s))>
#<alt (exp (* -1 s))>
#<alt (exp (* -1 s))>
#<alt (exp (* -1 s))>
#<alt (/ 1 (pow 1/2 c_n))>
#<alt (+ (* 1/2 (/ (* c_n t) (pow 1/2 c_n))) (/ 1 (pow 1/2 c_n)))>
#<alt (+ (* t (- (* -1 (* t (+ (* -1/4 (/ (pow c_n 2) (pow 1/2 c_n))) (+ (* -1/8 (/ c_n (pow 1/2 c_n))) (* 1/8 (/ (pow c_n 2) (pow 1/2 c_n))))))) (* -1/2 (/ c_n (pow 1/2 c_n))))) (/ 1 (pow 1/2 c_n)))>
#<alt (+ (* t (- (* t (- (* -1 (* t (+ (* -1/48 (/ (pow c_n 3) (pow 1/2 c_n))) (+ (* 1/16 (/ (pow c_n 2) (pow 1/2 c_n))) (+ (* 1/2 (* c_n (+ (* -1/4 (/ (pow c_n 2) (pow 1/2 c_n))) (+ (* -1/8 (/ c_n (pow 1/2 c_n))) (* 1/8 (/ (pow c_n 2) (pow 1/2 c_n))))))) (* 1/2 (/ (* c_n (+ (* -1/8 c_n) (* 1/8 (pow c_n 2)))) (pow 1/2 c_n)))))))) (+ (* -1/4 (/ (pow c_n 2) (pow 1/2 c_n))) (+ (* -1/8 (/ c_n (pow 1/2 c_n))) (* 1/8 (/ (pow c_n 2) (pow 1/2 c_n))))))) (* -1/2 (/ c_n (pow 1/2 c_n))))) (/ 1 (pow 1/2 c_n)))>
#<alt (/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))>
#<alt (/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))>
#<alt (/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))>
#<alt (/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))>
#<alt (/ 1 (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n))>
#<alt (/ 1 (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n))>
#<alt (/ 1 (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n))>
#<alt (/ 1 (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n))>
#<alt 1>
#<alt (+ 1 (* -1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))>
#<alt (+ 1 (* c_n (- (* -1 (* c_n (+ (* -1 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))>
#<alt (+ 1 (* c_n (- (* c_n (- (* -1 (* c_n (+ (* -1 (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (+ (* -1 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))) (+ (* -1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3)) (* 1/6 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3)))))) (+ (* -1 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))>
#<alt (/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))>
#<alt (/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))>
#<alt (/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))>
#<alt (/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))>
#<alt (/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))>
#<alt (/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))>
#<alt (/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))>
#<alt (/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))>
#<alt (pow 1/2 c_n)>
#<alt (+ (* -1/2 (* c_n (* t (pow 1/2 c_n)))) (pow 1/2 c_n))>
#<alt (+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n))>
#<alt (+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (+ (* t (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n))>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)>
#<alt 1>
#<alt (+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))>
#<alt (+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))))>
#<alt (+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)))))))>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 t))>
#<alt (+ 1/2 (* t (- (* 1/48 (pow t 2)) 1/4)))>
#<alt (+ 1/2 (* t (- (* (pow t 2) (+ 1/48 (* -1/480 (pow t 2)))) 1/4)))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 t)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 t)))))>
#<alt -1/2>
#<alt (- (* -1/4 t) 1/2)>
#<alt (- (* t (- (* 1/48 (pow t 2)) 1/4)) 1/2)>
#<alt (- (* t (- (* (pow t 2) (+ 1/48 (* -1/480 (pow t 2)))) 1/4)) 1/2)>
#<alt (/ -1 (+ 1 (exp (neg t))))>
#<alt (/ -1 (+ 1 (exp (neg t))))>
#<alt (/ -1 (+ 1 (exp (neg t))))>
#<alt (/ -1 (+ 1 (exp (neg t))))>
#<alt (/ -1 (+ 1 (exp (* -1 t))))>
#<alt (/ -1 (+ 1 (exp (* -1 t))))>
#<alt (/ -1 (+ 1 (exp (* -1 t))))>
#<alt (/ -1 (+ 1 (exp (* -1 t))))>
#<alt (pow 1/2 c_n)>
#<alt (+ (* -1/2 (* c_n (* s (pow 1/2 c_n)))) (pow 1/2 c_n))>
#<alt (+ (* s (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* s (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n))>
#<alt (+ (* s (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* s (+ (* s (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n))>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n)>
#<alt 1>
#<alt (+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))))>
#<alt (+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2))))))>
#<alt (+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2)))))))>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow 1/2 c_n)>
#<alt (+ (* -1/2 (* c_n (* s (pow 1/2 c_n)))) (pow 1/2 c_n))>
#<alt (+ (* s (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* s (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n))>
#<alt (+ (* s (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* s (+ (* s (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n))>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n)>
#<alt 1>
#<alt (+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))))>
#<alt (+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2))))))>
#<alt (+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2)))))))>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 s))>
#<alt (+ 1/2 (* s (- (* 1/48 (pow s 2)) 1/4)))>
#<alt (+ 1/2 (* s (- (* (pow s 2) (+ 1/48 (* -1/480 (pow s 2)))) 1/4)))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (neg s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 s)))))>
#<alt (- 1 (/ 1 (+ 1 (exp (* -1 s)))))>
#<alt -1/2>
#<alt (- (* -1/4 s) 1/2)>
#<alt (- (* s (- (* 1/48 (pow s 2)) 1/4)) 1/2)>
#<alt (- (* s (- (* (pow s 2) (+ 1/48 (* -1/480 (pow s 2)))) 1/4)) 1/2)>
#<alt (/ -1 (+ 1 (exp (neg s))))>
#<alt (/ -1 (+ 1 (exp (neg s))))>
#<alt (/ -1 (+ 1 (exp (neg s))))>
#<alt (/ -1 (+ 1 (exp (neg s))))>
#<alt (/ -1 (+ 1 (exp (* -1 s))))>
#<alt (/ -1 (+ 1 (exp (* -1 s))))>
#<alt (/ -1 (+ 1 (exp (* -1 s))))>
#<alt (/ -1 (+ 1 (exp (* -1 s))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* c_n s)))>
#<alt (+ 1 (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2)))))))>
#<alt (+ 1 (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (+ (* 1/8 (pow c_n 2)) (* s (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))))))))))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow 1/2 c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow 1/2 c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow 1/2 c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow 1/2 c_n))>
#<alt 1>
#<alt (+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))))>
#<alt (+ 1 (* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* c_n (- (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2)) (+ (* 1/2 (pow (log 1/2) 2)) (* (log 1/2) (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))))))) (log 1/2))))>
#<alt (+ 1 (* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* c_n (- (+ (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2)) (* c_n (- (* 1/6 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 3)) (+ (* 1/6 (pow (log 1/2) 3)) (+ (* 1/2 (* (pow (log 1/2) 2) (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2)))) (* (log 1/2) (- (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2)) (+ (* 1/2 (pow (log 1/2) 2)) (* (log 1/2) (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))))))))))) (+ (* 1/2 (pow (log 1/2) 2)) (* (log 1/2) (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))))))) (log 1/2))))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))>
#<alt (/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt (* -1 s)>
#<alt 2>
#<alt (+ 2 (* -1 t))>
#<alt (+ 2 (* t (- (* 1/2 t) 1)))>
#<alt (+ 2 (* t (- (* t (+ 1/2 (* -1/6 t))) 1)))>
#<alt (+ 1 (exp (neg t)))>
#<alt (+ 1 (exp (neg t)))>
#<alt (+ 1 (exp (neg t)))>
#<alt (+ 1 (exp (neg t)))>
#<alt (+ 1 (exp (* -1 t)))>
#<alt (+ 1 (exp (* -1 t)))>
#<alt (+ 1 (exp (* -1 t)))>
#<alt (+ 1 (exp (* -1 t)))>

Calls

63 calls:

Time	Variable		Point	Expression
48.0ms	s	@	inf	(/ (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))
1.0ms	c_n	@	0	(/ (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))
1.0ms	t	@	0	(/ 1 (pow (+ 1 (/ -1 (+ 1 (exp (neg t))))) c_n))
1.0ms	c_n	@	0	(/ 1 (pow (+ 1 (/ -1 (+ 1 (exp (neg t))))) c_n))
1.0ms	s	@	-inf	(/ (pow (+ 1 (/ -1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))

rewrite308.0ms (0.6%)

Memory

-3.9MiB live, 314.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 344×	`lower-fma.f64`
4 344×	`lower-fma.f32`
3 338×	`lower-*.f64`
3 338×	`lower-*.f32`
2 996×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	126
0	43	123
1	161	123
2	1033	122
0	8970	117

Stop Event

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

Counts

15 → 633

Calls

Call 1

Inputs
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(exp.f64 (neg.f64 s))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 #s(literal 1/2 binary64) c_n))
(neg.f64 s)
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))

Outputs
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 s))) c_p)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (neg.f64 s))) (neg.f64 c_p)))
(exp.f64 (.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (.f64 c_p #s(literal 1 binary64))))
(exp.f64 (.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 (.f64 c_p #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -2 binary64))) (.f64 c_p #s(literal 1/2 binary64))))
(exp.f64 (.f64 (neg.f64 (.f64 (log1p.f64 (exp.f64 (neg.f64 s))) (*.f64 c_p #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (.f64 c_p #s(literal 1/2 binary64)) (neg.f64 (.f64 (log1p.f64 (exp.f64 (neg.f64 s))) (*.f64 c_p #s(literal 1/2 binary64))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (.f64 #s(literal -1 binary64) (.f64 c_p #s(literal 1 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (.f64 (neg.f64 (.f64 c_p #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (fma.f64 (neg.f64 c_p) #s(literal 1/2 binary64) (neg.f64 (*.f64 c_p #s(literal 1/2 binary64)))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (.f64 #s(literal 2 binary64) (neg.f64 (.f64 c_p #s(literal 1/2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) (*.f64 c_p #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) (.f64 (.f64 c_p #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -2 binary64)) (*.f64 c_p #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 (*.f64 c_p #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal 2 binary64)) (neg.f64 (*.f64 c_p #s(literal 1/2 binary64))))
(pow.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -2 binary64)) c_p) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 c_p) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 #s(literal 1 binary64) (neg.f64 c_p)))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)) (pow.f64 #s(literal 1 binary64) (.f64 c_p #s(literal 1 binary64))))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 (.f64 c_p #s(literal 1/2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 (*.f64 c_p #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (neg.f64 s) #s(literal 3 binary64)))) (neg.f64 c_p)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 s) s)) (expm1.f64 (neg.f64 s)))) (neg.f64 c_p)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 s) s))) (neg.f64 c_p)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) (neg.f64 c_p)))
(*.f64 (pow.f64 #s(literal -1 binary64) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))) c_p))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1/2 binary64)) c_p) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1/2 binary64)) c_p))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (neg.f64 s) #s(literal 3 binary64))))) c_p) (pow.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 s) s)) (expm1.f64 (neg.f64 s))) c_p))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 s) s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) c_p))
(.f64 (pow.f64 #s(literal 1 binary64) (.f64 c_p #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 c_p)))
(.f64 (pow.f64 #s(literal -1 binary64) (.f64 c_p #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s)))) (*.f64 c_p #s(literal 1 binary64))))
(.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1/2 binary64)) (.f64 c_p #s(literal 1 binary64))) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1/2 binary64)) (*.f64 c_p #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (neg.f64 s) #s(literal 3 binary64))))) (.f64 c_p #s(literal 1 binary64))) (pow.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 s) s)) (expm1.f64 (neg.f64 s))) (.f64 c_p #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 s) s)))) (.f64 c_p #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (*.f64 c_p #s(literal 1 binary64))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (/.f64 (neg.f64 c_p) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (/.f64 (neg.f64 c_p) #s(literal 2 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) (/.f64 (.f64 c_p #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) (/.f64 (*.f64 c_p #s(literal 1 binary64)) #s(literal 2 binary64))))
(.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 (.f64 c_p #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 (*.f64 c_p #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (neg.f64 (.f64 c_p #s(literal 1/2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (.f64 #s(literal -1 binary64) (.f64 (.f64 c_p #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (.f64 #s(literal -1 binary64) (.f64 (*.f64 c_p #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (neg.f64 s) #s(literal 3 binary64))))) (.f64 (.f64 (exp.f64 (neg.f64 s)) (expm1.f64 (neg.f64 s))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (neg.f64 s) #s(literal 3 binary64)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 s) s)))) (*.f64 (neg.f64 (exp.f64 (neg.f64 s))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 s) s))))))
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(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) (neg.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 t) t)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 t))) #s(literal 1 binary64))
(fma.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 t) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 t) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 t #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 t #s(literal 2 binary64))) #s(literal 1 binary64))
(neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 t) t)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 t) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (neg.f64 t)) (expm1.f64 (-.f64 (neg.f64 t) t))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t)))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 t) #s(literal 3 binary64)))) (-.f64 (exp.f64 (-.f64 (neg.f64 t) t)) (expm1.f64 (neg.f64 t))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 t) #s(literal 3 binary64)))) (+.f64 (exp.f64 (-.f64 (neg.f64 t) t)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 t) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 t) t)) (expm1.f64 (neg.f64 t))))))
(/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 t) t))) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 t) t))) (neg.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t)))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (neg.f64 t) #s(literal 3 binary64))))) (neg.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 t) t)) (expm1.f64 (neg.f64 t)))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (neg.f64 t) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 t) t)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 t) t)))) (+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))
(/.f64 (expm1.f64 (-.f64 (neg.f64 t) t)) (expm1.f64 (neg.f64 t)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (exp.f64 (-.f64 (neg.f64 t) t)))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (neg.f64 t) #s(literal 3 binary64)))))) (-.f64 (exp.f64 (-.f64 (neg.f64 t) t)) (expm1.f64 (neg.f64 t))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (neg.f64 t) #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 t) t)) (expm1.f64 (neg.f64 t))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 t) t))))) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 t) t))))) (neg.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t)))))
(/.f64 (neg.f64 (expm1.f64 (-.f64 (neg.f64 t) t))) (neg.f64 (expm1.f64 (neg.f64 t))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 t) t)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) (fma.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 t) t)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) (/.f64 (exp.f64 (-.f64 (neg.f64 t) t)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) (/.f64 (exp.f64 (-.f64 (neg.f64 t) t)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) (.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 t) t)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) (/.f64 (exp.f64 (-.f64 (neg.f64 t) t)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) (/.f64 (exp.f64 (-.f64 (neg.f64 t) t)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (neg.f64 t) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 t) t)) (expm1.f64 (neg.f64 t)))))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (neg.f64 t) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 t) t)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))))
(*.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 t) t))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
(.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (.f64 (neg.f64 t) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 t) t)) (expm1.f64 (neg.f64 t))))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 t) t)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t)))))
(*.f64 (expm1.f64 (-.f64 (neg.f64 t) t)) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 t))))

simplify593.0ms (1.2%)

Memory

17.4MiB live, 486.2MiB allocated

Algorithm

1×	egg-herbie

Rules

15 876×	`lower-fma.f64`
15 876×	`lower-fma.f32`
6 354×	`lower-+.f64`
6 354×	`lower-+.f32`
4 652×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	351	3124
1	967	3063
2	2791	2967
3	7308	2965
0	8114	2748

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

Inputs
(pow 1/2 c_p)
(+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p))
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p))
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (+ (* s (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p))
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)
1
(+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg s)))))))
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg s))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg s))))) 2))))))
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg s))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (exp (neg s))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)))))))
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
1/2
(+ 1/2 (* 1/4 s))
(+ 1/2 (* s (+ 1/4 (* -1/48 (pow s 2)))))
(+ 1/2 (* s (+ 1/4 (* (pow s 2) (- (* 1/480 (pow s 2)) 1/48)))))
(/ 1 (+ 1 (exp (neg s))))
(/ 1 (+ 1 (exp (neg s))))
(/ 1 (+ 1 (exp (neg s))))
(/ 1 (+ 1 (exp (neg s))))
(/ 1 (+ 1 (exp (* -1 s))))
(/ 1 (+ 1 (exp (* -1 s))))
(/ 1 (+ 1 (exp (* -1 s))))
(/ 1 (+ 1 (exp (* -1 s))))
2
(+ 2 (* -1 s))
(+ 2 (* s (- (* 1/2 s) 1)))
(+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))
(+ 1 (exp (neg s)))
(+ 1 (exp (neg s)))
(+ 1 (exp (neg s)))
(+ 1 (exp (neg s)))
(+ 1 (exp (* -1 s)))
(+ 1 (exp (* -1 s)))
(+ 1 (exp (* -1 s)))
(+ 1 (exp (* -1 s)))
1
(+ 1 (* -1 s))
(+ 1 (* s (- (* 1/2 s) 1)))
(+ 1 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))
(exp (neg s))
(exp (neg s))
(exp (neg s))
(exp (neg s))
(exp (* -1 s))
(exp (* -1 s))
(exp (* -1 s))
(exp (* -1 s))
(/ 1 (pow 1/2 c_n))
(+ (* 1/2 (/ (* c_n t) (pow 1/2 c_n))) (/ 1 (pow 1/2 c_n)))
(+ (* t (- (* -1 (* t (+ (* -1/4 (/ (pow c_n 2) (pow 1/2 c_n))) (+ (* -1/8 (/ c_n (pow 1/2 c_n))) (* 1/8 (/ (pow c_n 2) (pow 1/2 c_n))))))) (* -1/2 (/ c_n (pow 1/2 c_n))))) (/ 1 (pow 1/2 c_n)))
(+ (* t (- (* t (- (* -1 (* t (+ (* -1/48 (/ (pow c_n 3) (pow 1/2 c_n))) (+ (* 1/16 (/ (pow c_n 2) (pow 1/2 c_n))) (+ (* 1/2 (* c_n (+ (* -1/4 (/ (pow c_n 2) (pow 1/2 c_n))) (+ (* -1/8 (/ c_n (pow 1/2 c_n))) (* 1/8 (/ (pow c_n 2) (pow 1/2 c_n))))))) (* 1/2 (/ (* c_n (+ (* -1/8 c_n) (* 1/8 (pow c_n 2)))) (pow 1/2 c_n)))))))) (+ (* -1/4 (/ (pow c_n 2) (pow 1/2 c_n))) (+ (* -1/8 (/ c_n (pow 1/2 c_n))) (* 1/8 (/ (pow c_n 2) (pow 1/2 c_n))))))) (* -1/2 (/ c_n (pow 1/2 c_n))))) (/ 1 (pow 1/2 c_n)))
(/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ 1 (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n))
(/ 1 (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n))
(/ 1 (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n))
(/ 1 (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n))
1
(+ 1 (* -1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))
(+ 1 (* c_n (- (* -1 (* c_n (+ (* -1 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))
(+ 1 (* c_n (- (* c_n (- (* -1 (* c_n (+ (* -1 (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (+ (* -1 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))) (+ (* -1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3)) (* 1/6 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3)))))) (+ (* -1 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))
(/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(pow 1/2 c_n)
(+ (* -1/2 (* c_n (* t (pow 1/2 c_n)))) (pow 1/2 c_n))
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n))
(+ (* t (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* t (+ (* t (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n)
1
(+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)))))))
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)
1/2
(+ 1/2 (* -1/4 t))
(+ 1/2 (* t (- (* 1/48 (pow t 2)) 1/4)))
(+ 1/2 (* t (- (* (pow t 2) (+ 1/48 (* -1/480 (pow t 2)))) 1/4)))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(- 1 (/ 1 (+ 1 (exp (* -1 t)))))
(- 1 (/ 1 (+ 1 (exp (* -1 t)))))
(- 1 (/ 1 (+ 1 (exp (* -1 t)))))
(- 1 (/ 1 (+ 1 (exp (* -1 t)))))
-1/2
(- (* -1/4 t) 1/2)
(- (* t (- (* 1/48 (pow t 2)) 1/4)) 1/2)
(- (* t (- (* (pow t 2) (+ 1/48 (* -1/480 (pow t 2)))) 1/4)) 1/2)
(/ -1 (+ 1 (exp (neg t))))
(/ -1 (+ 1 (exp (neg t))))
(/ -1 (+ 1 (exp (neg t))))
(/ -1 (+ 1 (exp (neg t))))
(/ -1 (+ 1 (exp (* -1 t))))
(/ -1 (+ 1 (exp (* -1 t))))
(/ -1 (+ 1 (exp (* -1 t))))
(/ -1 (+ 1 (exp (* -1 t))))
(pow 1/2 c_n)
(+ (* -1/2 (* c_n (* s (pow 1/2 c_n)))) (pow 1/2 c_n))
(+ (* s (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* s (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n))
(+ (* s (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* s (+ (* s (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n))
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n)
1
(+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2)))))))
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow 1/2 c_n)
(+ (* -1/2 (* c_n (* s (pow 1/2 c_n)))) (pow 1/2 c_n))
(+ (* s (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* s (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n))))) (pow 1/2 c_n))
(+ (* s (+ (* -1/2 (* c_n (pow 1/2 c_n))) (* s (+ (* s (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (pow 1/2 c_n))) (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (pow 1/2 c_n)))))) (pow 1/2 c_n))
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n)
1
(+ 1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* 1/2 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2))))))
(+ 1 (* c_n (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* c_n (+ (* 1/6 (* c_n (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 3))) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2)))))))
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
(pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)
1/2
(+ 1/2 (* -1/4 s))
(+ 1/2 (* s (- (* 1/48 (pow s 2)) 1/4)))
(+ 1/2 (* s (- (* (pow s 2) (+ 1/48 (* -1/480 (pow s 2)))) 1/4)))
(- 1 (/ 1 (+ 1 (exp (neg s)))))
(- 1 (/ 1 (+ 1 (exp (neg s)))))
(- 1 (/ 1 (+ 1 (exp (neg s)))))
(- 1 (/ 1 (+ 1 (exp (neg s)))))
(- 1 (/ 1 (+ 1 (exp (* -1 s)))))
(- 1 (/ 1 (+ 1 (exp (* -1 s)))))
(- 1 (/ 1 (+ 1 (exp (* -1 s)))))
(- 1 (/ 1 (+ 1 (exp (* -1 s)))))
-1/2
(- (* -1/4 s) 1/2)
(- (* s (- (* 1/48 (pow s 2)) 1/4)) 1/2)
(- (* s (- (* (pow s 2) (+ 1/48 (* -1/480 (pow s 2)))) 1/4)) 1/2)
(/ -1 (+ 1 (exp (neg s))))
(/ -1 (+ 1 (exp (neg s))))
(/ -1 (+ 1 (exp (neg s))))
(/ -1 (+ 1 (exp (neg s))))
(/ -1 (+ 1 (exp (* -1 s))))
(/ -1 (+ 1 (exp (* -1 s))))
(/ -1 (+ 1 (exp (* -1 s))))
(/ -1 (+ 1 (exp (* -1 s))))
1
(+ 1 (* -1/2 (* c_n s)))
(+ 1 (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (* 1/8 (pow c_n 2)))))))
(+ 1 (* s (+ (* -1/2 c_n) (* s (+ (* -1/8 c_n) (+ (* 1/8 (pow c_n 2)) (* s (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))))))))))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow 1/2 c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow 1/2 c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow 1/2 c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (* -1 s))))) c_n) (pow 1/2 c_n))
1
(+ 1 (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))))
(+ 1 (* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* c_n (- (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2)) (+ (* 1/2 (pow (log 1/2) 2)) (* (log 1/2) (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))))))) (log 1/2))))
(+ 1 (* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (* c_n (- (+ (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2)) (* c_n (- (* 1/6 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 3)) (+ (* 1/6 (pow (log 1/2) 3)) (+ (* 1/2 (* (pow (log 1/2) 2) (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2)))) (* (log 1/2) (- (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) 2)) (+ (* 1/2 (pow (log 1/2) 2)) (* (log 1/2) (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))))))))))) (+ (* 1/2 (pow (log 1/2) 2)) (* (log 1/2) (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))))))) (log 1/2))))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow 1/2 c_n))
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
(* -1 s)
2
(+ 2 (* -1 t))
(+ 2 (* t (- (* 1/2 t) 1)))
(+ 2 (* t (- (* t (+ 1/2 (* -1/6 t))) 1)))
(+ 1 (exp (neg t)))
(+ 1 (exp (neg t)))
(+ 1 (exp (neg t)))
(+ 1 (exp (neg t)))
(+ 1 (exp (* -1 t)))
(+ 1 (exp (* -1 t)))
(+ 1 (exp (* -1 t)))
(+ 1 (exp (* -1 t)))

Outputs
(pow 1/2 c_p)
(pow.f64 #s(literal 1/2 binary64) c_p)
(+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p))
(.f64 (fma.f64 s (.f64 #s(literal 1/2 binary64) c_p) #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) c_p))
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p))))) (pow 1/2 c_p))
(fma.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) c_p) s) (fma.f64 s (.f64 c_p (fma.f64 c_p #s(literal 1/8 binary64) #s(literal -1/8 binary64))) (*.f64 #s(literal 1/2 binary64) c_p)) (pow.f64 #s(literal 1/2 binary64) c_p))
(+ (* s (+ (* 1/2 (* c_p (pow 1/2 c_p))) (* s (+ (* s (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (pow 1/2 c_p)))))) (pow 1/2 c_p))
(fma.f64 s (.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) c_p) s) (fma.f64 s (.f64 (.f64 c_p c_p) (fma.f64 c_p #s(literal 1/48 binary64) #s(literal -1/16 binary64))) (.f64 c_p (fma.f64 c_p #s(literal 1/8 binary64) #s(literal -1/8 binary64))))) (.f64 (fma.f64 s (*.f64 #s(literal 1/2 binary64) c_p) #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) c_p)))
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
1
#s(literal 1 binary64)
(+ 1 (* c_p (log (/ 1 (+ 1 (exp (neg s)))))))
(fma.f64 c_p (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 1 binary64))
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg s))))) (* 1/2 (* c_p (pow (log (/ 1 (+ 1 (exp (neg s))))) 2))))))
(fma.f64 c_p (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) c_p) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 1 binary64)) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) #s(literal 1 binary64))
(+ 1 (* c_p (+ (log (/ 1 (+ 1 (exp (neg s))))) (* c_p (+ (* 1/6 (* c_p (pow (log (/ 1 (+ 1 (exp (neg s))))) 3))) (* 1/2 (pow (log (/ 1 (+ 1 (exp (neg s))))) 2)))))))
(fma.f64 c_p (-.f64 (.f64 c_p (.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 2 binary64)) (fma.f64 (*.f64 c_p #s(literal 1/6 binary64)) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 1/2 binary64)))) (log1p.f64 (exp.f64 (neg.f64 s)))) #s(literal 1 binary64))
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 s))
(fma.f64 s #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* s (+ 1/4 (* -1/48 (pow s 2)))))
(fma.f64 s (fma.f64 s (*.f64 s #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* s (+ 1/4 (* (pow s 2) (- (* 1/480 (pow s 2)) 1/48)))))
(fma.f64 s (fma.f64 s (.f64 s (fma.f64 (.f64 s s) #s(literal 1/480 binary64) #s(literal -1/48 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/ 1 (+ 1 (exp (neg s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
(/ 1 (+ 1 (exp (neg s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
(/ 1 (+ 1 (exp (neg s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
(/ 1 (+ 1 (exp (neg s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
(/ 1 (+ 1 (exp (* -1 s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
(/ 1 (+ 1 (exp (* -1 s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
(/ 1 (+ 1 (exp (* -1 s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
(/ 1 (+ 1 (exp (* -1 s))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))
2
#s(literal 2 binary64)
(+ 2 (* -1 s))
(-.f64 #s(literal 2 binary64) s)
(+ 2 (* s (- (* 1/2 s) 1)))
(fma.f64 s (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) #s(literal 2 binary64))
(+ 2 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))
(fma.f64 s (fma.f64 s (fma.f64 s #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))
(+ 1 (exp (neg s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(+ 1 (exp (neg s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(+ 1 (exp (neg s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(+ 1 (exp (neg s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(+ 1 (exp (* -1 s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(+ 1 (exp (* -1 s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(+ 1 (exp (* -1 s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
(+ 1 (exp (* -1 s)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))
1
#s(literal 1 binary64)
(+ 1 (* -1 s))
(-.f64 #s(literal 1 binary64) s)
(+ 1 (* s (- (* 1/2 s) 1)))
(fma.f64 s (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* s (- (* s (+ 1/2 (* -1/6 s))) 1)))
(fma.f64 s (fma.f64 s (fma.f64 s #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp (neg s))
(exp.f64 (neg.f64 s))
(exp (neg s))
(exp.f64 (neg.f64 s))
(exp (neg s))
(exp.f64 (neg.f64 s))
(exp (neg s))
(exp.f64 (neg.f64 s))
(exp (* -1 s))
(exp.f64 (neg.f64 s))
(exp (* -1 s))
(exp.f64 (neg.f64 s))
(exp (* -1 s))
(exp.f64 (neg.f64 s))
(exp (* -1 s))
(exp.f64 (neg.f64 s))
(/ 1 (pow 1/2 c_n))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n))
(+ (* 1/2 (/ (* c_n t) (pow 1/2 c_n))) (/ 1 (pow 1/2 c_n)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 c_n (/.f64 t (pow.f64 #s(literal 1/2 binary64) c_n))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n)))
(+ (* t (- (* -1 (* t (+ (* -1/4 (/ (pow c_n 2) (pow 1/2 c_n))) (+ (* -1/8 (/ c_n (pow 1/2 c_n))) (* 1/8 (/ (pow c_n 2) (pow 1/2 c_n))))))) (* -1/2 (/ c_n (pow 1/2 c_n))))) (/ 1 (pow 1/2 c_n)))
(fma.f64 t (fma.f64 #s(literal 1/2 binary64) (/.f64 c_n (pow.f64 #s(literal 1/2 binary64) c_n)) (.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 c_n c_n) (pow.f64 #s(literal 1/2 binary64) c_n)) (/.f64 (*.f64 #s(literal -1/8 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_n))) (neg.f64 t))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n)))
(+ (* t (- (* t (- (* -1 (* t (+ (* -1/48 (/ (pow c_n 3) (pow 1/2 c_n))) (+ (* 1/16 (/ (pow c_n 2) (pow 1/2 c_n))) (+ (* 1/2 (* c_n (+ (* -1/4 (/ (pow c_n 2) (pow 1/2 c_n))) (+ (* -1/8 (/ c_n (pow 1/2 c_n))) (* 1/8 (/ (pow c_n 2) (pow 1/2 c_n))))))) (* 1/2 (/ (* c_n (+ (* -1/8 c_n) (* 1/8 (pow c_n 2)))) (pow 1/2 c_n)))))))) (+ (* -1/4 (/ (pow c_n 2) (pow 1/2 c_n))) (+ (* -1/8 (/ c_n (pow 1/2 c_n))) (* 1/8 (/ (pow c_n 2) (pow 1/2 c_n))))))) (* -1/2 (/ c_n (pow 1/2 c_n))))) (/ 1 (pow 1/2 c_n)))
(fma.f64 t (fma.f64 t (neg.f64 (fma.f64 t (fma.f64 #s(literal -1/48 binary64) (/.f64 (.f64 c_n (.f64 c_n c_n)) (pow.f64 #s(literal 1/2 binary64) c_n)) (fma.f64 (.f64 #s(literal 1/2 binary64) c_n) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 c_n c_n) (pow.f64 #s(literal 1/2 binary64) c_n)) (fma.f64 c_n (/.f64 #s(literal -1/8 binary64) (pow.f64 #s(literal 1/2 binary64) c_n)) (/.f64 (.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64))) (pow.f64 #s(literal 1/2 binary64) c_n)))) (/.f64 (.f64 (.f64 c_n c_n) #s(literal 1/16 binary64)) (pow.f64 #s(literal 1/2 binary64) c_n)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 c_n c_n) (pow.f64 #s(literal 1/2 binary64) c_n)) (/.f64 (.f64 #s(literal -1/8 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_n))))) (/.f64 (.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_n))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n)))
(/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(/ 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(/ 1 (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(/ 1 (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(/ 1 (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(/ 1 (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))) c_n))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))
(fma.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))) (neg.f64 c_n) #s(literal 1 binary64))
(+ 1 (* c_n (- (* -1 (* c_n (+ (* -1 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))
(fma.f64 c_n (.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))) (fma.f64 (.f64 #s(literal 1/2 binary64) c_n) (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))))) #s(literal -1 binary64))) #s(literal 1 binary64))
(+ 1 (* c_n (- (* c_n (- (* -1 (* c_n (+ (* -1 (* (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) (+ (* -1 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))) (+ (* -1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3)) (* 1/6 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 3)))))) (+ (* -1 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2)) (* 1/2 (pow (log (- 1 (/ 1 (+ 1 (exp (neg t)))))) 2))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))
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1
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(-.f64 #s(literal 2 binary64) t)
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eval276.0ms (0.5%)

Memory: 27.8MiB live, 214.2MiB allocated
Compiler: Compiled 26 604 to 3 053 computations (88.5% saved)

prune218.0ms (0.4%)

Memory

-25.0MiB live, 349.9MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	1 322	7	1 329
Fresh	0	0	0
Picked	4	1	5
Done	0	0	0
Total	1 326	8	1 334

Accuracy

100.0%

Counts

1 334 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.3%	(fma.f64 s (fma.f64 s (.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64))) (.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64))
▶	98.3%	(fma.f64 s (*.f64 c_n #s(literal -1/2 binary64)) #s(literal 1 binary64))
	97.7%	(fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
	94.9%	(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 s (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) #s(literal 2 binary64))) c_p)
▶	94.2%	(pow.f64 #s(literal 1/2 binary64) c_p)
▶	93.7%	(pow.f64 #s(literal 1/2 binary64) c_n)
▶	93.5%	(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n))
✓	98.3%	#s(literal 1 binary64)

Compiler

Compiled 173 to 141 computations (18.5% saved)

simplify28.0ms (0.1%)

Memory

7.4MiB live, 45.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 #s(literal 1/2 binary64) c_n)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n))
✓	cost-diff	0	(pow.f64 #s(literal 1/2 binary64) c_p)
✓	cost-diff	0	(pow.f64 #s(literal 1/2 binary64) c_n)
✓	cost-diff	0	(fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64))
✓	cost-diff	0	(*.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)))
✓	cost-diff	0	(fma.f64 s (fma.f64 s (.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64))) (.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64))
✓	cost-diff	320	(fma.f64 s (.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64))) (.f64 c_n #s(literal -1/2 binary64)))
✓	cost-diff	0	(*.f64 c_n #s(literal -1/2 binary64))
✓	cost-diff	0	(fma.f64 s (*.f64 c_n #s(literal -1/2 binary64)) #s(literal 1 binary64))

Rules

900×	`lower-fma.f32`
892×	`lower-fma.f64`
322×	`lower-*.f32`
318×	`lower-*.f64`
220×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	78
0	30	78
1	56	78
2	112	76
3	263	76
4	643	76
5	886	76
6	916	76
0	916	74

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 s (*.f64 c_n #s(literal -1/2 binary64)) #s(literal 1 binary64))
s
(*.f64 c_n #s(literal -1/2 binary64))
c_n
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(fma.f64 s (fma.f64 s (.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64))) (.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64))
s
(fma.f64 s (.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64))) (.f64 c_n #s(literal -1/2 binary64)))
(*.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)))
c_n
(fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64))
#s(literal 1/8 binary64)
#s(literal -1/8 binary64)
(*.f64 c_n #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(pow.f64 #s(literal 1/2 binary64) c_n)
#s(literal 1/2 binary64)
c_n
(pow.f64 #s(literal 1/2 binary64) c_p)
#s(literal 1/2 binary64)
c_p
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n))
#s(literal 1 binary64)
(pow.f64 #s(literal 1/2 binary64) c_n)
#s(literal 1/2 binary64)
c_n

Outputs
(fma.f64 s (*.f64 c_n #s(literal -1/2 binary64)) #s(literal 1 binary64))
s
(*.f64 c_n #s(literal -1/2 binary64))
c_n
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(fma.f64 s (fma.f64 s (.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64))) (.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 s c_n) (fma.f64 s (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
s
(fma.f64 s (.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64))) (.f64 c_n #s(literal -1/2 binary64)))
(*.f64 c_n (fma.f64 s (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))
(*.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)))
c_n
(fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64))
#s(literal 1/8 binary64)
#s(literal -1/8 binary64)
(*.f64 c_n #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(pow.f64 #s(literal 1/2 binary64) c_n)
#s(literal 1/2 binary64)
c_n
(pow.f64 #s(literal 1/2 binary64) c_p)
#s(literal 1/2 binary64)
c_p
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n))
#s(literal 1 binary64)
(pow.f64 #s(literal 1/2 binary64) c_n)
#s(literal 1/2 binary64)
c_n

localize62.0ms (0.1%)

Memory

-9.0MiB live, 109.2MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 #s(literal 1/2 binary64) c_n)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n))
✓	accuracy	100.0%	(pow.f64 #s(literal 1/2 binary64) c_p)
✓	accuracy	100.0%	(pow.f64 #s(literal 1/2 binary64) c_n)
✓	accuracy	100.0%	(fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64))
✓	accuracy	100.0%	(*.f64 c_n #s(literal -1/2 binary64))
✓	accuracy	100.0%	(fma.f64 s (.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64))) (.f64 c_n #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)))
✓	accuracy	100.0%	(fma.f64 s (*.f64 c_n #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 c_n #s(literal -1/2 binary64))

Samples

34.0ms	255×	0	valid
0.0ms	1×	0	exit

Compiler

Compiled 88 to 24 computations (72.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 9.0ms (43.9% of total)

ival-pow: 5.0ms (24.4% of total)

ival-add: 4.0ms (19.5% of total)

ival-div: 2.0ms (9.8% of total)

exact: 1.0ms (4.9% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series11.0ms (0%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

9 → 144

Calls

Call 1

Inputs
#<alt (fma.f64 s (*.f64 c_n #s(literal -1/2 binary64)) #s(literal 1 binary64))>
#<alt (*.f64 c_n #s(literal -1/2 binary64))>
#<alt (fma.f64 s (.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64))) (.f64 c_n #s(literal -1/2 binary64)))>
#<alt (fma.f64 s (fma.f64 s (.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64))) (.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64))>
#<alt (*.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)))>
#<alt (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64))>
#<alt (pow.f64 #s(literal 1/2 binary64) c_n)>
#<alt (pow.f64 #s(literal 1/2 binary64) c_p)>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n))>

Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (* c_n s)))>
#<alt (+ 1 (* -1/2 (* c_n s)))>
#<alt (+ 1 (* -1/2 (* c_n s)))>
#<alt (* -1/2 (* c_n s))>
#<alt (* s (+ (* -1/2 c_n) (/ 1 s)))>
#<alt (* s (+ (* -1/2 c_n) (/ 1 s)))>
#<alt (* s (+ (* -1/2 c_n) (/ 1 s)))>
#<alt (* -1/2 (* c_n s))>
#<alt (* -1 (* s (- (* 1/2 c_n) (/ 1 s))))>
#<alt (* -1 (* s (- (* 1/2 c_n) (/ 1 s))))>
#<alt (* -1 (* s (- (* 1/2 c_n) (/ 1 s))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* c_n s)))>
#<alt (+ 1 (* -1/2 (* c_n s)))>
#<alt (+ 1 (* -1/2 (* c_n s)))>
#<alt (* -1/2 (* c_n s))>
#<alt (* c_n (+ (* -1/2 s) (/ 1 c_n)))>
#<alt (* c_n (+ (* -1/2 s) (/ 1 c_n)))>
#<alt (* c_n (+ (* -1/2 s) (/ 1 c_n)))>
#<alt (* -1/2 (* c_n s))>
#<alt (* -1 (* c_n (- (* 1/2 s) (/ 1 c_n))))>
#<alt (* -1 (* c_n (- (* 1/2 s) (/ 1 c_n))))>
#<alt (* -1 (* c_n (- (* 1/2 s) (/ 1 c_n))))>
#<alt (* -1/2 c_n)>
#<alt (* -1/2 c_n)>
#<alt (* -1/2 c_n)>
#<alt (* -1/2 c_n)>
#<alt (* -1/2 c_n)>
#<alt (* -1/2 c_n)>
#<alt (* -1/2 c_n)>
#<alt (* -1/2 c_n)>
#<alt (* -1/2 c_n)>
#<alt (* -1/2 c_n)>
#<alt (* -1/2 c_n)>
#<alt (* -1/2 c_n)>
#<alt (* -1/2 c_n)>
#<alt (+ (* -1/2 c_n) (* c_n (* s (- (* 1/8 c_n) 1/8))))>
#<alt (+ (* -1/2 c_n) (* c_n (* s (- (* 1/8 c_n) 1/8))))>
#<alt (+ (* -1/2 c_n) (* c_n (* s (- (* 1/8 c_n) 1/8))))>
#<alt (* c_n (* s (- (* 1/8 c_n) 1/8)))>
#<alt (* s (+ (* -1/2 (/ c_n s)) (* c_n (- (* 1/8 c_n) 1/8))))>
#<alt (* s (+ (* -1/2 (/ c_n s)) (* c_n (- (* 1/8 c_n) 1/8))))>
#<alt (* s (+ (* -1/2 (/ c_n s)) (* c_n (- (* 1/8 c_n) 1/8))))>
#<alt (* c_n (* s (- (* 1/8 c_n) 1/8)))>
#<alt (* -1 (* s (+ (* -1 (* c_n (- (* 1/8 c_n) 1/8))) (* 1/2 (/ c_n s)))))>
#<alt (* -1 (* s (+ (* -1 (* c_n (- (* 1/8 c_n) 1/8))) (* 1/2 (/ c_n s)))))>
#<alt (* -1 (* s (+ (* -1 (* c_n (- (* 1/8 c_n) 1/8))) (* 1/2 (/ c_n s)))))>
#<alt (* c_n (- (* -1/8 s) 1/2))>
#<alt (* c_n (- (+ (* -1/8 s) (* 1/8 (* c_n s))) 1/2))>
#<alt (* c_n (- (+ (* -1/8 s) (* 1/8 (* c_n s))) 1/2))>
#<alt (* c_n (- (+ (* -1/8 s) (* 1/8 (* c_n s))) 1/2))>
#<alt (* 1/8 (* (pow c_n 2) s))>
#<alt (* (pow c_n 2) (- (+ (* -1/8 (/ s c_n)) (* 1/8 s)) (* 1/2 (/ 1 c_n))))>
#<alt (* (pow c_n 2) (- (+ (* -1/8 (/ s c_n)) (* 1/8 s)) (* 1/2 (/ 1 c_n))))>
#<alt (* (pow c_n 2) (- (+ (* -1/8 (/ s c_n)) (* 1/8 s)) (* 1/2 (/ 1 c_n))))>
#<alt (* 1/8 (* (pow c_n 2) s))>
#<alt (* (pow c_n 2) (+ (* -1 (/ (+ 1/2 (* 1/8 s)) c_n)) (* 1/8 s)))>
#<alt (* (pow c_n 2) (+ (* -1 (/ (+ 1/2 (* 1/8 s)) c_n)) (* 1/8 s)))>
#<alt (* (pow c_n 2) (+ (* -1 (/ (+ 1/2 (* 1/8 s)) c_n)) (* 1/8 s)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* c_n s)))>
#<alt (+ 1 (* s (+ (* -1/2 c_n) (* c_n (* s (- (* 1/8 c_n) 1/8))))))>
#<alt (+ 1 (* s (+ (* -1/2 c_n) (* c_n (* s (- (* 1/8 c_n) 1/8))))))>
#<alt (* c_n (* (pow s 2) (- (* 1/8 c_n) 1/8)))>
#<alt (* (pow s 2) (+ (* -1/2 (/ c_n s)) (* c_n (- (* 1/8 c_n) 1/8))))>
#<alt (* (pow s 2) (+ (* -1/2 (/ c_n s)) (+ (* c_n (- (* 1/8 c_n) 1/8)) (/ 1 (pow s 2)))))>
#<alt (* (pow s 2) (+ (* -1/2 (/ c_n s)) (+ (* c_n (- (* 1/8 c_n) 1/8)) (/ 1 (pow s 2)))))>
#<alt (* c_n (* (pow s 2) (- (* 1/8 c_n) 1/8)))>
#<alt (* (pow s 2) (+ (* -1/2 (/ c_n s)) (* c_n (- (* 1/8 c_n) 1/8))))>
#<alt (* (pow s 2) (+ (* -1 (/ (- (* 1/2 c_n) (/ 1 s)) s)) (* c_n (- (* 1/8 c_n) 1/8))))>
#<alt (* (pow s 2) (+ (* -1 (/ (- (* 1/2 c_n) (/ 1 s)) s)) (* c_n (- (* 1/8 c_n) 1/8))))>
#<alt 1>
#<alt (+ 1 (* c_n (* s (- (* -1/8 s) 1/2))))>
#<alt (+ 1 (* c_n (+ (* 1/8 (* c_n (pow s 2))) (* s (- (* -1/8 s) 1/2)))))>
#<alt (+ 1 (* c_n (+ (* 1/8 (* c_n (pow s 2))) (* s (- (* -1/8 s) 1/2)))))>
#<alt (* 1/8 (* (pow c_n 2) (pow s 2)))>
#<alt (* (pow c_n 2) (+ (* 1/8 (pow s 2)) (/ (* s (- (* -1/8 s) 1/2)) c_n)))>
#<alt (* (pow c_n 2) (+ (* 1/8 (pow s 2)) (+ (/ 1 (pow c_n 2)) (/ (* s (- (* -1/8 s) 1/2)) c_n))))>
#<alt (* (pow c_n 2) (+ (* 1/8 (pow s 2)) (+ (/ 1 (pow c_n 2)) (/ (* s (- (* -1/8 s) 1/2)) c_n))))>
#<alt (* 1/8 (* (pow c_n 2) (pow s 2)))>
#<alt (* (pow c_n 2) (+ (* -1 (/ (* s (+ 1/2 (* 1/8 s))) c_n)) (* 1/8 (pow s 2))))>
#<alt (* (pow c_n 2) (+ (* -1 (/ (- (* s (+ 1/2 (* 1/8 s))) (/ 1 c_n)) c_n)) (* 1/8 (pow s 2))))>
#<alt (* (pow c_n 2) (+ (* -1 (/ (- (* s (+ 1/2 (* 1/8 s))) (/ 1 c_n)) c_n)) (* 1/8 (pow s 2))))>
#<alt (* -1/8 c_n)>
#<alt (* c_n (- (* 1/8 c_n) 1/8))>
#<alt (* c_n (- (* 1/8 c_n) 1/8))>
#<alt (* c_n (- (* 1/8 c_n) 1/8))>
#<alt (* 1/8 (pow c_n 2))>
#<alt (* (pow c_n 2) (- 1/8 (* 1/8 (/ 1 c_n))))>
#<alt (* (pow c_n 2) (- 1/8 (* 1/8 (/ 1 c_n))))>
#<alt (* (pow c_n 2) (- 1/8 (* 1/8 (/ 1 c_n))))>
#<alt (* 1/8 (pow c_n 2))>
#<alt (* (pow c_n 2) (- 1/8 (* 1/8 (/ 1 c_n))))>
#<alt (* (pow c_n 2) (- 1/8 (* 1/8 (/ 1 c_n))))>
#<alt (* (pow c_n 2) (- 1/8 (* 1/8 (/ 1 c_n))))>
#<alt -1/8>
#<alt (- (* 1/8 c_n) 1/8)>
#<alt (- (* 1/8 c_n) 1/8)>
#<alt (- (* 1/8 c_n) 1/8)>
#<alt (* 1/8 c_n)>
#<alt (* c_n (- 1/8 (* 1/8 (/ 1 c_n))))>
#<alt (* c_n (- 1/8 (* 1/8 (/ 1 c_n))))>
#<alt (* c_n (- 1/8 (* 1/8 (/ 1 c_n))))>
#<alt (* 1/8 c_n)>
#<alt (* -1 (* c_n (- (* 1/8 (/ 1 c_n)) 1/8)))>
#<alt (* -1 (* c_n (- (* 1/8 (/ 1 c_n)) 1/8)))>
#<alt (* -1 (* c_n (- (* 1/8 (/ 1 c_n)) 1/8)))>
#<alt 1>
#<alt (+ 1 (* c_n (log 1/2)))>
#<alt (+ 1 (* c_n (+ (log 1/2) (* 1/2 (* c_n (pow (log 1/2) 2))))))>
#<alt (+ 1 (* c_n (+ (log 1/2) (* c_n (+ (* 1/6 (* c_n (pow (log 1/2) 3))) (* 1/2 (pow (log 1/2) 2)))))))>
#<alt (pow 1/2 c_n)>
#<alt (pow 1/2 c_n)>
#<alt (pow 1/2 c_n)>
#<alt (pow 1/2 c_n)>
#<alt (pow 1/2 c_n)>
#<alt (pow 1/2 c_n)>
#<alt (pow 1/2 c_n)>
#<alt (pow 1/2 c_n)>
#<alt 1>
#<alt (+ 1 (* c_p (log 1/2)))>
#<alt (+ 1 (* c_p (+ (log 1/2) (* 1/2 (* c_p (pow (log 1/2) 2))))))>
#<alt (+ 1 (* c_p (+ (log 1/2) (* c_p (+ (* 1/6 (* c_p (pow (log 1/2) 3))) (* 1/2 (pow (log 1/2) 2)))))))>
#<alt (pow 1/2 c_p)>
#<alt (pow 1/2 c_p)>
#<alt (pow 1/2 c_p)>
#<alt (pow 1/2 c_p)>
#<alt (pow 1/2 c_p)>
#<alt (pow 1/2 c_p)>
#<alt (pow 1/2 c_p)>
#<alt (pow 1/2 c_p)>
#<alt 1>
#<alt (+ 1 (* -1 (* c_n (log 1/2))))>
#<alt (+ 1 (* c_n (- (* -1 (* c_n (+ (* -1 (pow (log 1/2) 2)) (* 1/2 (pow (log 1/2) 2))))) (log 1/2))))>
#<alt (+ 1 (* c_n (- (* c_n (- (* -1 (* c_n (+ (* -1 (* (log 1/2) (+ (* -1 (pow (log 1/2) 2)) (* 1/2 (pow (log 1/2) 2))))) (+ (* -1/2 (pow (log 1/2) 3)) (* 1/6 (pow (log 1/2) 3)))))) (+ (* -1 (pow (log 1/2) 2)) (* 1/2 (pow (log 1/2) 2))))) (log 1/2))))>
#<alt (/ 1 (pow 1/2 c_n))>
#<alt (/ 1 (pow 1/2 c_n))>
#<alt (/ 1 (pow 1/2 c_n))>
#<alt (/ 1 (pow 1/2 c_n))>
#<alt (/ 1 (pow 1/2 c_n))>
#<alt (/ 1 (pow 1/2 c_n))>
#<alt (/ 1 (pow 1/2 c_n))>
#<alt (/ 1 (pow 1/2 c_n))>

Calls

36 calls:

Time	Variable		Point	Expression
1.0ms	c_n	@	inf	(+ (* s (* c_n (+ (* c_n 1/8) -1/8))) (* c_n -1/2))
1.0ms	s	@	0	(+ (* s (* c_n (+ (* c_n 1/8) -1/8))) (* c_n -1/2))
1.0ms	c_n	@	0	(+ (* s (* c_n (+ (* c_n 1/8) -1/8))) (* c_n -1/2))
0.0ms	c_n	@	-inf	(/ 1 (pow 1/2 c_n))
0.0ms	s	@	0	(+ (* s (* c_n -1/2)) 1)

rewrite461.0ms (0.9%)

Memory

6.8MiB live, 668.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

13 248×	`lower-fma.f32`
13 240×	`lower-fma.f64`
6 564×	`lower-*.f32`
6 560×	`lower-*.f64`
3 208×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	55
0	30	54
1	127	54
2	859	51
0	8322	49

Stop Event

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

Counts

9 → 455

Calls

Call 1

Inputs
(fma.f64 s (*.f64 c_n #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 c_n #s(literal -1/2 binary64))
(fma.f64 s (.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64))) (.f64 c_n #s(literal -1/2 binary64)))
(fma.f64 s (fma.f64 s (.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64))) (.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)))
(fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64))
(pow.f64 #s(literal 1/2 binary64) c_n)
(pow.f64 #s(literal 1/2 binary64) c_p)
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n))

Outputs
(+.f64 #s(literal 1 binary64) (.f64 s (.f64 c_n #s(literal -1/2 binary64))))
(+.f64 (.f64 s (.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64))
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(/.f64 (.f64 (fma.f64 (.f64 (.f64 c_n (.f64 c_n c_n)) #s(literal 1/512 binary64)) (.f64 #s(literal 1/262144 binary64) (.f64 (.f64 c_n (.f64 c_n c_n)) (.f64 c_n (.f64 c_n c_n)))) #s(literal -1/134217728 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/262144 binary64) (.f64 (.f64 c_n (.f64 c_n c_n)) (.f64 c_n (.f64 c_n c_n))) (-.f64 #s(literal 1/262144 binary64) (.f64 (.f64 c_n (.f64 c_n c_n)) #s(literal -1/262144 binary64)))) (fma.f64 (fma.f64 c_n c_n #s(literal 1 binary64)) #s(literal 1/64 binary64) (.f64 c_n #s(literal 1/64 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/262144 binary64) (.f64 (.f64 c_n (.f64 c_n c_n)) (.f64 c_n (.f64 c_n c_n))) #s(literal -1/262144 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 c_n (.f64 c_n c_n)) #s(literal 1/512 binary64) #s(literal 1/512 binary64)) (fma.f64 (fma.f64 c_n c_n #s(literal 1 binary64)) #s(literal 1/64 binary64) (.f64 c_n #s(literal 1/64 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/262144 binary64) (.f64 (.f64 c_n (.f64 c_n c_n)) (.f64 c_n (.f64 c_n c_n))) #s(literal -1/262144 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 (.f64 (.f64 c_n c_n) #s(literal 1/4096 binary64)) (.f64 c_n c_n) #s(literal 1/4096 binary64)) (.f64 (.f64 c_n c_n) #s(literal 1/4096 binary64))) (fma.f64 c_n #s(literal 1/8 binary64) #s(literal 1/8 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 c_n c_n) #s(literal 1/4096 binary64)) (.f64 c_n c_n) #s(literal -1/4096 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 c_n (.f64 c_n #s(literal 1/64 binary64)) #s(literal 1/64 binary64)) (fma.f64 c_n #s(literal 1/8 binary64) #s(literal 1/8 binary64))))
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(*.f64 #s(literal 1 binary64) (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)))
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(.f64 (fma.f64 (.f64 c_n (.f64 c_n c_n)) #s(literal 1/512 binary64) #s(literal -1/512 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (.f64 c_n (-.f64 (*.f64 c_n #s(literal 1/64 binary64)) #s(literal -1/64 binary64))))))
(.f64 (fma.f64 c_n (.f64 c_n #s(literal 1/64 binary64)) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 c_n #s(literal 1/8 binary64) #s(literal 1/8 binary64))))
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(.f64 (neg.f64 (fma.f64 c_n (.f64 c_n #s(literal 1/64 binary64)) #s(literal -1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 c_n #s(literal -1/8 binary64) #s(literal -1/8 binary64))))
(.f64 (+.f64 #s(literal 1/64 binary64) (.f64 #s(literal -1/64 binary64) (.f64 c_n c_n))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/8 binary64) (.f64 c_n #s(literal -1/8 binary64)))))
(exp.f64 (*.f64 c_n (log.f64 #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 c_n #s(literal 1 binary64))))
(exp.f64 (.f64 (log.f64 (pow.f64 #s(literal 1/2 binary64) (.f64 c_n #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 #s(literal 1/4 binary64)) (.f64 c_n #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 c_n #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 c_n #s(literal 1/2 binary64)) (.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 c_n #s(literal 1/2 binary64)))))
(exp.f64 (neg.f64 (.f64 c_n (.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (neg.f64 (neg.f64 (*.f64 c_n (log.f64 #s(literal 1/2 binary64))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 #s(literal 1/2 binary64) c_n)))
(neg.f64 (neg.f64 (pow.f64 #s(literal 1/2 binary64) c_n)))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) c_n))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) c_n) #s(literal 1 binary64)))
(/.f64 (pow.f64 #s(literal 1/2 binary64) c_n) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 #s(literal 2 binary64) c_n)))
(/.f64 (neg.f64 (pow.f64 #s(literal 1/2 binary64) c_n)) #s(literal -1 binary64))
(pow.f64 #s(literal 1/2 binary64) c_n)
(pow.f64 #s(literal 1/2 binary64) (*.f64 c_n #s(literal 1 binary64)))
(pow.f64 #s(literal 1/2 binary64) (.f64 (.f64 c_n #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 c_n)))
(pow.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 c_n #s(literal -1 binary64))))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) c_n) #s(literal 1 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) c_n) #s(literal -1 binary64))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) (*.f64 c_n #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 #s(literal 1/4 binary64) (*.f64 c_n #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 #s(literal 1/4 binary64) c_n) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 c_n) (log.f64 #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n))
(*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 #s(literal 1/2 binary64) c_n)))
(*.f64 (neg.f64 (pow.f64 #s(literal 1/2 binary64) c_n)) #s(literal -1 binary64))
(.f64 (pow.f64 #s(literal 1/2 binary64) (.f64 c_n #s(literal 1/2 binary64))) (pow.f64 #s(literal 1/2 binary64) (*.f64 c_n #s(literal 1/2 binary64))))
(.f64 (pow.f64 #s(literal 1/2 binary64) (.f64 c_n #s(literal 1/2 binary64))) (neg.f64 (neg.f64 (pow.f64 #s(literal 1/2 binary64) (*.f64 c_n #s(literal 1/2 binary64))))))
(.f64 (pow.f64 #s(literal 1/2 binary64) (.f64 (.f64 c_n #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (.f64 (pow.f64 #s(literal 1/2 binary64) (.f64 (.f64 c_n #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (pow.f64 #s(literal 1/2 binary64) (*.f64 c_n #s(literal 1/2 binary64)))))
(.f64 (neg.f64 (pow.f64 #s(literal 1/2 binary64) (.f64 c_n #s(literal 1/2 binary64)))) (neg.f64 (pow.f64 #s(literal 1/2 binary64) (*.f64 c_n #s(literal 1/2 binary64)))))
(.f64 (pow.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c_n #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c_n #s(literal 1 binary64)) #s(literal 2 binary64))))
(.f64 (pow.f64 (pow.f64 #s(literal 1/2 binary64) (.f64 c_n #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 #s(literal 1/2 binary64) (*.f64 c_n #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (neg.f64 (neg.f64 (pow.f64 #s(literal 1/2 binary64) (.f64 c_n #s(literal 1/2 binary64))))) (pow.f64 #s(literal 1/2 binary64) (*.f64 c_n #s(literal 1/2 binary64))))
(.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) (.f64 c_n #s(literal 1/2 binary64))) (pow.f64 #s(literal 1/2 binary64) (.f64 (.f64 c_n #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (pow.f64 #s(literal 1/2 binary64) (.f64 (*.f64 c_n #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 c_p (log.f64 #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 c_p #s(literal 1 binary64))))
(exp.f64 (.f64 (log.f64 (pow.f64 #s(literal 1/2 binary64) (.f64 c_p #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 #s(literal 1/4 binary64)) (.f64 c_p #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 c_p #s(literal 1/2 binary64)) (.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 c_p #s(literal 1/2 binary64)))))
(pow.f64 #s(literal 1/2 binary64) c_p)
(pow.f64 #s(literal 1/2 binary64) (*.f64 c_p #s(literal 1 binary64)))
(pow.f64 #s(literal 1/2 binary64) (.f64 (.f64 c_p #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 #s(literal 1/4 binary64) (*.f64 c_p #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 #s(literal 1/4 binary64) c_p) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 c_p) (log.f64 #s(literal 1/2 binary64)))
(.f64 (pow.f64 #s(literal 1/2 binary64) (.f64 c_p #s(literal 1/2 binary64))) (pow.f64 #s(literal 1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))))
(.f64 (pow.f64 #s(literal 1/2 binary64) (.f64 (.f64 c_p #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (.f64 (pow.f64 #s(literal 1/2 binary64) (.f64 (.f64 c_p #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (pow.f64 #s(literal 1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64)))))
(.f64 (pow.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c_p #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c_p #s(literal 1 binary64)) #s(literal 2 binary64))))
(.f64 (pow.f64 (pow.f64 #s(literal 1/2 binary64) (.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 #s(literal 1/2 binary64) (*.f64 c_p #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) (.f64 c_p #s(literal 1/2 binary64))) (pow.f64 #s(literal 1/2 binary64) (.f64 (.f64 c_p #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (pow.f64 #s(literal 1/2 binary64) (.f64 (*.f64 c_p #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (.f64 c_n (.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (*.f64 c_n (log.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 #s(literal 2 binary64) c_n)))
(neg.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) c_n)))
(neg.f64 (*.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) c_n)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 1/2 binary64) (.f64 c_n #s(literal 1/2 binary64))) (pow.f64 #s(literal 1/2 binary64) (.f64 c_n #s(literal -1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 #s(literal 1/2 binary64) c_n)))
(/.f64 (pow.f64 #s(literal 1/2 binary64) (.f64 c_n #s(literal -1/2 binary64))) (pow.f64 #s(literal 1/2 binary64) (.f64 c_n #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (pow.f64 #s(literal 1/2 binary64) (.f64 c_n #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 #s(literal 1/2 binary64) (.f64 c_n #s(literal 1/2 binary64)))))
(pow.f64 #s(literal 1/2 binary64) (neg.f64 c_n))
(pow.f64 #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1 binary64)))
(pow.f64 #s(literal 1/2 binary64) (.f64 (.f64 c_n #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 c_n) #s(literal 1/2 binary64) (*.f64 (neg.f64 c_n) #s(literal 1/2 binary64))))
(pow.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 c_n #s(literal 1 binary64))))
(pow.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 c_n) #s(literal 1/2 binary64))))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) c_n) #s(literal -1 binary64))
(pow.f64 #s(literal 2 binary64) c_n)
(pow.f64 (pow.f64 #s(literal 1/2 binary64) (*.f64 c_n #s(literal 1/2 binary64))) #s(literal -2 binary64))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 c_n) #s(literal 1/2 binary64)))
(pow.f64 #s(literal 1/4 binary64) (.f64 (.f64 c_n #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_n)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) c_n))
(*.f64 (pow.f64 #s(literal 2 binary64) c_n) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 #s(literal 2 binary64) c_n)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) c_n)) #s(literal 1 binary64)))
(.f64 (pow.f64 #s(literal 1/2 binary64) (.f64 c_n #s(literal -1/2 binary64))) (pow.f64 #s(literal 1/2 binary64) (*.f64 c_n #s(literal -1/2 binary64))))
(.f64 (pow.f64 #s(literal 1/2 binary64) (.f64 c_n #s(literal -1/2 binary64))) (.f64 (pow.f64 #s(literal 1/2 binary64) (.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c_n #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c_n #s(literal -1 binary64)) #s(literal 2 binary64))))

simplify432.0ms (0.8%)

Memory

31.6MiB live, 820.4MiB allocated

Algorithm

1×	egg-herbie

Rules

20 178×	`lower-fma.f64`
20 178×	`lower-fma.f32`
5 694×	`lower-*.f64`
5 694×	`lower-*.f32`
1 662×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	176	1160
1	544	1094
2	1648	1074
3	4743	1064
0	8130	925

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
1
(+ 1 (* -1/2 (* c_n s)))
(+ 1 (* -1/2 (* c_n s)))
(+ 1 (* -1/2 (* c_n s)))
(* -1/2 (* c_n s))
(* s (+ (* -1/2 c_n) (/ 1 s)))
(* s (+ (* -1/2 c_n) (/ 1 s)))
(* s (+ (* -1/2 c_n) (/ 1 s)))
(* -1/2 (* c_n s))
(* -1 (* s (- (* 1/2 c_n) (/ 1 s))))
(* -1 (* s (- (* 1/2 c_n) (/ 1 s))))
(* -1 (* s (- (* 1/2 c_n) (/ 1 s))))
1
(+ 1 (* -1/2 (* c_n s)))
(+ 1 (* -1/2 (* c_n s)))
(+ 1 (* -1/2 (* c_n s)))
(* -1/2 (* c_n s))
(* c_n (+ (* -1/2 s) (/ 1 c_n)))
(* c_n (+ (* -1/2 s) (/ 1 c_n)))
(* c_n (+ (* -1/2 s) (/ 1 c_n)))
(* -1/2 (* c_n s))
(* -1 (* c_n (- (* 1/2 s) (/ 1 c_n))))
(* -1 (* c_n (- (* 1/2 s) (/ 1 c_n))))
(* -1 (* c_n (- (* 1/2 s) (/ 1 c_n))))
(* -1/2 c_n)
(* -1/2 c_n)
(* -1/2 c_n)
(* -1/2 c_n)
(* -1/2 c_n)
(* -1/2 c_n)
(* -1/2 c_n)
(* -1/2 c_n)
(* -1/2 c_n)
(* -1/2 c_n)
(* -1/2 c_n)
(* -1/2 c_n)
(* -1/2 c_n)
(+ (* -1/2 c_n) (* c_n (* s (- (* 1/8 c_n) 1/8))))
(+ (* -1/2 c_n) (* c_n (* s (- (* 1/8 c_n) 1/8))))
(+ (* -1/2 c_n) (* c_n (* s (- (* 1/8 c_n) 1/8))))
(* c_n (* s (- (* 1/8 c_n) 1/8)))
(* s (+ (* -1/2 (/ c_n s)) (* c_n (- (* 1/8 c_n) 1/8))))
(* s (+ (* -1/2 (/ c_n s)) (* c_n (- (* 1/8 c_n) 1/8))))
(* s (+ (* -1/2 (/ c_n s)) (* c_n (- (* 1/8 c_n) 1/8))))
(* c_n (* s (- (* 1/8 c_n) 1/8)))
(* -1 (* s (+ (* -1 (* c_n (- (* 1/8 c_n) 1/8))) (* 1/2 (/ c_n s)))))
(* -1 (* s (+ (* -1 (* c_n (- (* 1/8 c_n) 1/8))) (* 1/2 (/ c_n s)))))
(* -1 (* s (+ (* -1 (* c_n (- (* 1/8 c_n) 1/8))) (* 1/2 (/ c_n s)))))
(* c_n (- (* -1/8 s) 1/2))
(* c_n (- (+ (* -1/8 s) (* 1/8 (* c_n s))) 1/2))
(* c_n (- (+ (* -1/8 s) (* 1/8 (* c_n s))) 1/2))
(* c_n (- (+ (* -1/8 s) (* 1/8 (* c_n s))) 1/2))
(* 1/8 (* (pow c_n 2) s))
(* (pow c_n 2) (- (+ (* -1/8 (/ s c_n)) (* 1/8 s)) (* 1/2 (/ 1 c_n))))
(* (pow c_n 2) (- (+ (* -1/8 (/ s c_n)) (* 1/8 s)) (* 1/2 (/ 1 c_n))))
(* (pow c_n 2) (- (+ (* -1/8 (/ s c_n)) (* 1/8 s)) (* 1/2 (/ 1 c_n))))
(* 1/8 (* (pow c_n 2) s))
(* (pow c_n 2) (+ (* -1 (/ (+ 1/2 (* 1/8 s)) c_n)) (* 1/8 s)))
(* (pow c_n 2) (+ (* -1 (/ (+ 1/2 (* 1/8 s)) c_n)) (* 1/8 s)))
(* (pow c_n 2) (+ (* -1 (/ (+ 1/2 (* 1/8 s)) c_n)) (* 1/8 s)))
1
(+ 1 (* -1/2 (* c_n s)))
(+ 1 (* s (+ (* -1/2 c_n) (* c_n (* s (- (* 1/8 c_n) 1/8))))))
(+ 1 (* s (+ (* -1/2 c_n) (* c_n (* s (- (* 1/8 c_n) 1/8))))))
(* c_n (* (pow s 2) (- (* 1/8 c_n) 1/8)))
(* (pow s 2) (+ (* -1/2 (/ c_n s)) (* c_n (- (* 1/8 c_n) 1/8))))
(* (pow s 2) (+ (* -1/2 (/ c_n s)) (+ (* c_n (- (* 1/8 c_n) 1/8)) (/ 1 (pow s 2)))))
(* (pow s 2) (+ (* -1/2 (/ c_n s)) (+ (* c_n (- (* 1/8 c_n) 1/8)) (/ 1 (pow s 2)))))
(* c_n (* (pow s 2) (- (* 1/8 c_n) 1/8)))
(* (pow s 2) (+ (* -1/2 (/ c_n s)) (* c_n (- (* 1/8 c_n) 1/8))))
(* (pow s 2) (+ (* -1 (/ (- (* 1/2 c_n) (/ 1 s)) s)) (* c_n (- (* 1/8 c_n) 1/8))))
(* (pow s 2) (+ (* -1 (/ (- (* 1/2 c_n) (/ 1 s)) s)) (* c_n (- (* 1/8 c_n) 1/8))))
1
(+ 1 (* c_n (* s (- (* -1/8 s) 1/2))))
(+ 1 (* c_n (+ (* 1/8 (* c_n (pow s 2))) (* s (- (* -1/8 s) 1/2)))))
(+ 1 (* c_n (+ (* 1/8 (* c_n (pow s 2))) (* s (- (* -1/8 s) 1/2)))))
(* 1/8 (* (pow c_n 2) (pow s 2)))
(* (pow c_n 2) (+ (* 1/8 (pow s 2)) (/ (* s (- (* -1/8 s) 1/2)) c_n)))
(* (pow c_n 2) (+ (* 1/8 (pow s 2)) (+ (/ 1 (pow c_n 2)) (/ (* s (- (* -1/8 s) 1/2)) c_n))))
(* (pow c_n 2) (+ (* 1/8 (pow s 2)) (+ (/ 1 (pow c_n 2)) (/ (* s (- (* -1/8 s) 1/2)) c_n))))
(* 1/8 (* (pow c_n 2) (pow s 2)))
(* (pow c_n 2) (+ (* -1 (/ (* s (+ 1/2 (* 1/8 s))) c_n)) (* 1/8 (pow s 2))))
(* (pow c_n 2) (+ (* -1 (/ (- (* s (+ 1/2 (* 1/8 s))) (/ 1 c_n)) c_n)) (* 1/8 (pow s 2))))
(* (pow c_n 2) (+ (* -1 (/ (- (* s (+ 1/2 (* 1/8 s))) (/ 1 c_n)) c_n)) (* 1/8 (pow s 2))))
(* -1/8 c_n)
(* c_n (- (* 1/8 c_n) 1/8))
(* c_n (- (* 1/8 c_n) 1/8))
(* c_n (- (* 1/8 c_n) 1/8))
(* 1/8 (pow c_n 2))
(* (pow c_n 2) (- 1/8 (* 1/8 (/ 1 c_n))))
(* (pow c_n 2) (- 1/8 (* 1/8 (/ 1 c_n))))
(* (pow c_n 2) (- 1/8 (* 1/8 (/ 1 c_n))))
(* 1/8 (pow c_n 2))
(* (pow c_n 2) (- 1/8 (* 1/8 (/ 1 c_n))))
(* (pow c_n 2) (- 1/8 (* 1/8 (/ 1 c_n))))
(* (pow c_n 2) (- 1/8 (* 1/8 (/ 1 c_n))))
-1/8
(- (* 1/8 c_n) 1/8)
(- (* 1/8 c_n) 1/8)
(- (* 1/8 c_n) 1/8)
(* 1/8 c_n)
(* c_n (- 1/8 (* 1/8 (/ 1 c_n))))
(* c_n (- 1/8 (* 1/8 (/ 1 c_n))))
(* c_n (- 1/8 (* 1/8 (/ 1 c_n))))
(* 1/8 c_n)
(* -1 (* c_n (- (* 1/8 (/ 1 c_n)) 1/8)))
(* -1 (* c_n (- (* 1/8 (/ 1 c_n)) 1/8)))
(* -1 (* c_n (- (* 1/8 (/ 1 c_n)) 1/8)))
1
(+ 1 (* c_n (log 1/2)))
(+ 1 (* c_n (+ (log 1/2) (* 1/2 (* c_n (pow (log 1/2) 2))))))
(+ 1 (* c_n (+ (log 1/2) (* c_n (+ (* 1/6 (* c_n (pow (log 1/2) 3))) (* 1/2 (pow (log 1/2) 2)))))))
(pow 1/2 c_n)
(pow 1/2 c_n)
(pow 1/2 c_n)
(pow 1/2 c_n)
(pow 1/2 c_n)
(pow 1/2 c_n)
(pow 1/2 c_n)
(pow 1/2 c_n)
1
(+ 1 (* c_p (log 1/2)))
(+ 1 (* c_p (+ (log 1/2) (* 1/2 (* c_p (pow (log 1/2) 2))))))
(+ 1 (* c_p (+ (log 1/2) (* c_p (+ (* 1/6 (* c_p (pow (log 1/2) 3))) (* 1/2 (pow (log 1/2) 2)))))))
(pow 1/2 c_p)
(pow 1/2 c_p)
(pow 1/2 c_p)
(pow 1/2 c_p)
(pow 1/2 c_p)
(pow 1/2 c_p)
(pow 1/2 c_p)
(pow 1/2 c_p)
1
(+ 1 (* -1 (* c_n (log 1/2))))
(+ 1 (* c_n (- (* -1 (* c_n (+ (* -1 (pow (log 1/2) 2)) (* 1/2 (pow (log 1/2) 2))))) (log 1/2))))
(+ 1 (* c_n (- (* c_n (- (* -1 (* c_n (+ (* -1 (* (log 1/2) (+ (* -1 (pow (log 1/2) 2)) (* 1/2 (pow (log 1/2) 2))))) (+ (* -1/2 (pow (log 1/2) 3)) (* 1/6 (pow (log 1/2) 3)))))) (+ (* -1 (pow (log 1/2) 2)) (* 1/2 (pow (log 1/2) 2))))) (log 1/2))))
(/ 1 (pow 1/2 c_n))
(/ 1 (pow 1/2 c_n))
(/ 1 (pow 1/2 c_n))
(/ 1 (pow 1/2 c_n))
(/ 1 (pow 1/2 c_n))
(/ 1 (pow 1/2 c_n))
(/ 1 (pow 1/2 c_n))
(/ 1 (pow 1/2 c_n))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (* c_n s)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 c_n s) #s(literal 1 binary64))
(+ 1 (* -1/2 (* c_n s)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 c_n s) #s(literal 1 binary64))
(+ 1 (* -1/2 (* c_n s)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 c_n s) #s(literal 1 binary64))
(* -1/2 (* c_n s))
(.f64 #s(literal -1/2 binary64) (.f64 c_n s))
(* s (+ (* -1/2 c_n) (/ 1 s)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 c_n s) #s(literal 1 binary64))
(* s (+ (* -1/2 c_n) (/ 1 s)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 c_n s) #s(literal 1 binary64))
(* s (+ (* -1/2 c_n) (/ 1 s)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 c_n s) #s(literal 1 binary64))
(* -1/2 (* c_n s))
(.f64 #s(literal -1/2 binary64) (.f64 c_n s))
(* -1 (* s (- (* 1/2 c_n) (/ 1 s))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 c_n s) #s(literal 1 binary64))
(* -1 (* s (- (* 1/2 c_n) (/ 1 s))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 c_n s) #s(literal 1 binary64))
(* -1 (* s (- (* 1/2 c_n) (/ 1 s))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 c_n s) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (* c_n s)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 c_n s) #s(literal 1 binary64))
(+ 1 (* -1/2 (* c_n s)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 c_n s) #s(literal 1 binary64))
(+ 1 (* -1/2 (* c_n s)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 c_n s) #s(literal 1 binary64))
(* -1/2 (* c_n s))
(.f64 #s(literal -1/2 binary64) (.f64 c_n s))
(* c_n (+ (* -1/2 s) (/ 1 c_n)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 c_n s) #s(literal 1 binary64))
(* c_n (+ (* -1/2 s) (/ 1 c_n)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 c_n s) #s(literal 1 binary64))
(* c_n (+ (* -1/2 s) (/ 1 c_n)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 c_n s) #s(literal 1 binary64))
(* -1/2 (* c_n s))
(.f64 #s(literal -1/2 binary64) (.f64 c_n s))
(* -1 (* c_n (- (* 1/2 s) (/ 1 c_n))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 c_n s) #s(literal 1 binary64))
(* -1 (* c_n (- (* 1/2 s) (/ 1 c_n))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 c_n s) #s(literal 1 binary64))
(* -1 (* c_n (- (* 1/2 s) (/ 1 c_n))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 c_n s) #s(literal 1 binary64))
(* -1/2 c_n)
(*.f64 #s(literal -1/2 binary64) c_n)
(* -1/2 c_n)
(*.f64 #s(literal -1/2 binary64) c_n)
(* -1/2 c_n)
(*.f64 #s(literal -1/2 binary64) c_n)
(* -1/2 c_n)
(*.f64 #s(literal -1/2 binary64) c_n)
(* -1/2 c_n)
(*.f64 #s(literal -1/2 binary64) c_n)
(* -1/2 c_n)
(*.f64 #s(literal -1/2 binary64) c_n)
(* -1/2 c_n)
(*.f64 #s(literal -1/2 binary64) c_n)
(* -1/2 c_n)
(*.f64 #s(literal -1/2 binary64) c_n)
(* -1/2 c_n)
(*.f64 #s(literal -1/2 binary64) c_n)
(* -1/2 c_n)
(*.f64 #s(literal -1/2 binary64) c_n)
(* -1/2 c_n)
(*.f64 #s(literal -1/2 binary64) c_n)
(* -1/2 c_n)
(*.f64 #s(literal -1/2 binary64) c_n)
(* -1/2 c_n)
(*.f64 #s(literal -1/2 binary64) c_n)
(+ (* -1/2 c_n) (* c_n (* s (- (* 1/8 c_n) 1/8))))
(*.f64 c_n (fma.f64 s (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))
(+ (* -1/2 c_n) (* c_n (* s (- (* 1/8 c_n) 1/8))))
(*.f64 c_n (fma.f64 s (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))
(+ (* -1/2 c_n) (* c_n (* s (- (* 1/8 c_n) 1/8))))
(*.f64 c_n (fma.f64 s (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))
(* c_n (* s (- (* 1/8 c_n) 1/8)))
(.f64 (.f64 c_n s) (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)))
(* s (+ (* -1/2 (/ c_n s)) (* c_n (- (* 1/8 c_n) 1/8))))
(*.f64 c_n (fma.f64 s (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))
(* s (+ (* -1/2 (/ c_n s)) (* c_n (- (* 1/8 c_n) 1/8))))
(*.f64 c_n (fma.f64 s (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))
(* s (+ (* -1/2 (/ c_n s)) (* c_n (- (* 1/8 c_n) 1/8))))
(*.f64 c_n (fma.f64 s (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))
(* c_n (* s (- (* 1/8 c_n) 1/8)))
(.f64 (.f64 c_n s) (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)))
(* -1 (* s (+ (* -1 (* c_n (- (* 1/8 c_n) 1/8))) (* 1/2 (/ c_n s)))))
(*.f64 c_n (fma.f64 s (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))
(* -1 (* s (+ (* -1 (* c_n (- (* 1/8 c_n) 1/8))) (* 1/2 (/ c_n s)))))
(*.f64 c_n (fma.f64 s (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))
(* -1 (* s (+ (* -1 (* c_n (- (* 1/8 c_n) 1/8))) (* 1/2 (/ c_n s)))))
(*.f64 c_n (fma.f64 s (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))
(* c_n (- (* -1/8 s) 1/2))
(*.f64 c_n (fma.f64 s #s(literal -1/8 binary64) #s(literal -1/2 binary64)))
(* c_n (- (+ (* -1/8 s) (* 1/8 (* c_n s))) 1/2))
(*.f64 c_n (fma.f64 s (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))
(* c_n (- (+ (* -1/8 s) (* 1/8 (* c_n s))) 1/2))
(*.f64 c_n (fma.f64 s (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))
(* c_n (- (+ (* -1/8 s) (* 1/8 (* c_n s))) 1/2))
(*.f64 c_n (fma.f64 s (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))
(* 1/8 (* (pow c_n 2) s))
(.f64 c_n (.f64 c_n (*.f64 s #s(literal 1/8 binary64))))
(* (pow c_n 2) (- (+ (* -1/8 (/ s c_n)) (* 1/8 s)) (* 1/2 (/ 1 c_n))))
(*.f64 c_n (fma.f64 s (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))
(* (pow c_n 2) (- (+ (* -1/8 (/ s c_n)) (* 1/8 s)) (* 1/2 (/ 1 c_n))))
(*.f64 c_n (fma.f64 s (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))
(* (pow c_n 2) (- (+ (* -1/8 (/ s c_n)) (* 1/8 s)) (* 1/2 (/ 1 c_n))))
(*.f64 c_n (fma.f64 s (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))
(* 1/8 (* (pow c_n 2) s))
(.f64 c_n (.f64 c_n (*.f64 s #s(literal 1/8 binary64))))
(* (pow c_n 2) (+ (* -1 (/ (+ 1/2 (* 1/8 s)) c_n)) (* 1/8 s)))
(*.f64 c_n (fma.f64 s (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))
(* (pow c_n 2) (+ (* -1 (/ (+ 1/2 (* 1/8 s)) c_n)) (* 1/8 s)))
(*.f64 c_n (fma.f64 s (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))
(* (pow c_n 2) (+ (* -1 (/ (+ 1/2 (* 1/8 s)) c_n)) (* 1/8 s)))
(*.f64 c_n (fma.f64 s (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (* c_n s)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 c_n s) #s(literal 1 binary64))
(+ 1 (* s (+ (* -1/2 c_n) (* c_n (* s (- (* 1/8 c_n) 1/8))))))
(fma.f64 (*.f64 c_n s) (fma.f64 s (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* s (+ (* -1/2 c_n) (* c_n (* s (- (* 1/8 c_n) 1/8))))))
(fma.f64 (*.f64 c_n s) (fma.f64 s (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* c_n (* (pow s 2) (- (* 1/8 c_n) 1/8)))
(.f64 (.f64 c_n s) (*.f64 s (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64))))
(* (pow s 2) (+ (* -1/2 (/ c_n s)) (* c_n (- (* 1/8 c_n) 1/8))))
(.f64 (.f64 c_n s) (fma.f64 s (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))
(* (pow s 2) (+ (* -1/2 (/ c_n s)) (+ (* c_n (- (* 1/8 c_n) 1/8)) (/ 1 (pow s 2)))))
(fma.f64 (*.f64 c_n s) (fma.f64 s (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* (pow s 2) (+ (* -1/2 (/ c_n s)) (+ (* c_n (- (* 1/8 c_n) 1/8)) (/ 1 (pow s 2)))))
(fma.f64 (*.f64 c_n s) (fma.f64 s (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* c_n (* (pow s 2) (- (* 1/8 c_n) 1/8)))
(.f64 (.f64 c_n s) (*.f64 s (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64))))
(* (pow s 2) (+ (* -1/2 (/ c_n s)) (* c_n (- (* 1/8 c_n) 1/8))))
(.f64 (.f64 c_n s) (fma.f64 s (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))
(* (pow s 2) (+ (* -1 (/ (- (* 1/2 c_n) (/ 1 s)) s)) (* c_n (- (* 1/8 c_n) 1/8))))
(fma.f64 (*.f64 c_n s) (fma.f64 s (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* (pow s 2) (+ (* -1 (/ (- (* 1/2 c_n) (/ 1 s)) s)) (* c_n (- (* 1/8 c_n) 1/8))))
(fma.f64 (*.f64 c_n s) (fma.f64 s (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* c_n (* s (- (* -1/8 s) 1/2))))
(fma.f64 c_n (*.f64 s (fma.f64 s #s(literal -1/8 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* c_n (+ (* 1/8 (* c_n (pow s 2))) (* s (- (* -1/8 s) 1/2)))))
(fma.f64 (*.f64 c_n s) (fma.f64 s (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* c_n (+ (* 1/8 (* c_n (pow s 2))) (* s (- (* -1/8 s) 1/2)))))
(fma.f64 (*.f64 c_n s) (fma.f64 s (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* 1/8 (* (pow c_n 2) (pow s 2)))
(.f64 c_n (.f64 c_n (.f64 s (.f64 s #s(literal 1/8 binary64)))))
(* (pow c_n 2) (+ (* 1/8 (pow s 2)) (/ (* s (- (* -1/8 s) 1/2)) c_n)))
(.f64 (.f64 c_n s) (fma.f64 s (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))
(* (pow c_n 2) (+ (* 1/8 (pow s 2)) (+ (/ 1 (pow c_n 2)) (/ (* s (- (* -1/8 s) 1/2)) c_n))))
(fma.f64 (*.f64 c_n s) (fma.f64 s (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* (pow c_n 2) (+ (* 1/8 (pow s 2)) (+ (/ 1 (pow c_n 2)) (/ (* s (- (* -1/8 s) 1/2)) c_n))))
(fma.f64 (*.f64 c_n s) (fma.f64 s (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* 1/8 (* (pow c_n 2) (pow s 2)))
(.f64 c_n (.f64 c_n (.f64 s (.f64 s #s(literal 1/8 binary64)))))
(* (pow c_n 2) (+ (* -1 (/ (* s (+ 1/2 (* 1/8 s))) c_n)) (* 1/8 (pow s 2))))
(.f64 (.f64 c_n s) (fma.f64 s (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))
(* (pow c_n 2) (+ (* -1 (/ (- (* s (+ 1/2 (* 1/8 s))) (/ 1 c_n)) c_n)) (* 1/8 (pow s 2))))
(fma.f64 (*.f64 c_n s) (fma.f64 s (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* (pow c_n 2) (+ (* -1 (/ (- (* s (+ 1/2 (* 1/8 s))) (/ 1 c_n)) c_n)) (* 1/8 (pow s 2))))
(fma.f64 (*.f64 c_n s) (fma.f64 s (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* -1/8 c_n)
(*.f64 c_n #s(literal -1/8 binary64))
(* c_n (- (* 1/8 c_n) 1/8))
(*.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)))
(* c_n (- (* 1/8 c_n) 1/8))
(*.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)))
(* c_n (- (* 1/8 c_n) 1/8))
(*.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)))
(* 1/8 (pow c_n 2))
(.f64 #s(literal 1/8 binary64) (.f64 c_n c_n))
(* (pow c_n 2) (- 1/8 (* 1/8 (/ 1 c_n))))
(*.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)))
(* (pow c_n 2) (- 1/8 (* 1/8 (/ 1 c_n))))
(*.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)))
(* (pow c_n 2) (- 1/8 (* 1/8 (/ 1 c_n))))
(*.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)))
(* 1/8 (pow c_n 2))
(.f64 #s(literal 1/8 binary64) (.f64 c_n c_n))
(* (pow c_n 2) (- 1/8 (* 1/8 (/ 1 c_n))))
(*.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)))
(* (pow c_n 2) (- 1/8 (* 1/8 (/ 1 c_n))))
(*.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)))
(* (pow c_n 2) (- 1/8 (* 1/8 (/ 1 c_n))))
(*.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64)))
-1/8
#s(literal -1/8 binary64)
(- (* 1/8 c_n) 1/8)
(fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64))
(- (* 1/8 c_n) 1/8)
(fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64))
(- (* 1/8 c_n) 1/8)
(fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64))
(* 1/8 c_n)
(*.f64 c_n #s(literal 1/8 binary64))
(* c_n (- 1/8 (* 1/8 (/ 1 c_n))))
(fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64))
(* c_n (- 1/8 (* 1/8 (/ 1 c_n))))
(fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64))
(* c_n (- 1/8 (* 1/8 (/ 1 c_n))))
(fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64))
(* 1/8 c_n)
(*.f64 c_n #s(literal 1/8 binary64))
(* -1 (* c_n (- (* 1/8 (/ 1 c_n)) 1/8)))
(fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64))
(* -1 (* c_n (- (* 1/8 (/ 1 c_n)) 1/8)))
(fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64))
(* -1 (* c_n (- (* 1/8 (/ 1 c_n)) 1/8)))
(fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64))
1
#s(literal 1 binary64)
(+ 1 (* c_n (log 1/2)))
(fma.f64 c_n (log.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* c_n (+ (log 1/2) (* 1/2 (* c_n (pow (log 1/2) 2))))))
(fma.f64 (fma.f64 c_n (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 c_n (log.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* c_n (+ (log 1/2) (* c_n (+ (* 1/6 (* c_n (pow (log 1/2) 3))) (* 1/2 (pow (log 1/2) 2)))))))
(fma.f64 c_n (fma.f64 c_n (.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 c_n (.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (log.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow 1/2 c_n)
(pow.f64 #s(literal 1/2 binary64) c_n)
(pow 1/2 c_n)
(pow.f64 #s(literal 1/2 binary64) c_n)
(pow 1/2 c_n)
(pow.f64 #s(literal 1/2 binary64) c_n)
(pow 1/2 c_n)
(pow.f64 #s(literal 1/2 binary64) c_n)
(pow 1/2 c_n)
(pow.f64 #s(literal 1/2 binary64) c_n)
(pow 1/2 c_n)
(pow.f64 #s(literal 1/2 binary64) c_n)
(pow 1/2 c_n)
(pow.f64 #s(literal 1/2 binary64) c_n)
(pow 1/2 c_n)
(pow.f64 #s(literal 1/2 binary64) c_n)
1
#s(literal 1 binary64)
(+ 1 (* c_p (log 1/2)))
(fma.f64 (log.f64 #s(literal 1/2 binary64)) c_p #s(literal 1 binary64))
(+ 1 (* c_p (+ (log 1/2) (* 1/2 (* c_p (pow (log 1/2) 2))))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 #s(literal 1/2 binary64)) c_p) #s(literal 1 binary64)) (.f64 (log.f64 #s(literal 1/2 binary64)) c_p) #s(literal 1 binary64))
(+ 1 (* c_p (+ (log 1/2) (* c_p (+ (* 1/6 (* c_p (pow (log 1/2) 3))) (* 1/2 (pow (log 1/2) 2)))))))
(fma.f64 c_p (fma.f64 c_p (.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) c_p) #s(literal 1/2 binary64))) (log.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow 1/2 c_p)
(pow.f64 #s(literal 1/2 binary64) c_p)
(pow 1/2 c_p)
(pow.f64 #s(literal 1/2 binary64) c_p)
(pow 1/2 c_p)
(pow.f64 #s(literal 1/2 binary64) c_p)
(pow 1/2 c_p)
(pow.f64 #s(literal 1/2 binary64) c_p)
(pow 1/2 c_p)
(pow.f64 #s(literal 1/2 binary64) c_p)
(pow 1/2 c_p)
(pow.f64 #s(literal 1/2 binary64) c_p)
(pow 1/2 c_p)
(pow.f64 #s(literal 1/2 binary64) c_p)
(pow 1/2 c_p)
(pow.f64 #s(literal 1/2 binary64) c_p)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* c_n (log 1/2))))
(-.f64 #s(literal 1 binary64) (*.f64 c_n (log.f64 #s(literal 1/2 binary64))))
(+ 1 (* c_n (- (* -1 (* c_n (+ (* -1 (pow (log 1/2) 2)) (* 1/2 (pow (log 1/2) 2))))) (log 1/2))))
(fma.f64 c_n (.f64 (log.f64 #s(literal 1/2 binary64)) (fma.f64 c_n (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64))
(+ 1 (* c_n (- (* c_n (- (* -1 (* c_n (+ (* -1 (* (log 1/2) (+ (* -1 (pow (log 1/2) 2)) (* 1/2 (pow (log 1/2) 2))))) (+ (* -1/2 (pow (log 1/2) 3)) (* 1/6 (pow (log 1/2) 3)))))) (+ (* -1 (pow (log 1/2) 2)) (* 1/2 (pow (log 1/2) 2))))) (log 1/2))))
(fma.f64 c_n (-.f64 (.f64 c_n (.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 c_n (log.f64 #s(literal 1/2 binary64))))))) (log.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/ 1 (pow 1/2 c_n))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n))
(/ 1 (pow 1/2 c_n))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n))
(/ 1 (pow 1/2 c_n))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n))
(/ 1 (pow 1/2 c_n))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n))
(/ 1 (pow 1/2 c_n))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n))
(/ 1 (pow 1/2 c_n))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n))
(/ 1 (pow 1/2 c_n))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n))
(/ 1 (pow 1/2 c_n))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n))

eval92.0ms (0.2%)

Memory: -32.2MiB live, 206.3MiB allocated
Compiler: Compiled 14 449 to 1 464 computations (89.9% saved)

prune100.0ms (0.2%)

Memory

9.4MiB live, 238.9MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	661	4	665
Fresh	0	2	2
Picked	2	3	5
Done	0	1	1
Total	663	10	673

Accuracy

100.0%

Counts

673 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.3%	(fma.f64 s (*.f64 c_n (fma.f64 s #s(literal -1/8 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
✓	98.3%	(fma.f64 s (*.f64 c_n #s(literal -1/2 binary64)) #s(literal 1 binary64))
	97.7%	(fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
	94.9%	(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 s (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) #s(literal 2 binary64))) c_p)
	93.5%	(pow.f64 #s(literal 2 binary64) c_n)
✓	94.2%	(pow.f64 #s(literal 1/2 binary64) c_p)
✓	93.7%	(pow.f64 #s(literal 1/2 binary64) c_n)
	3.3%	(.f64 c_n (.f64 c_n (.f64 s (.f64 s #s(literal 1/8 binary64)))))
	3.4%	(.f64 #s(literal -1/2 binary64) (.f64 c_n s))
✓	98.3%	#s(literal 1 binary64)

Compiler

Compiled 394 to 165 computations (58.1% saved)

regimes82.0ms (0.2%)

Memory

18.1MiB live, 173.6MiB allocated

Counts

21 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 #s(literal -1/2 binary64) (.f64 c_n s))
(fma.f64 s (*.f64 c_n #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 s (*.f64 c_n (fma.f64 s #s(literal -1/8 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(.f64 c_n (.f64 c_n (.f64 s (.f64 s #s(literal 1/8 binary64)))))
(fma.f64 s (fma.f64 s (.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64))) (.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 #s(literal 1/2 binary64) c_n)
(pow.f64 #s(literal 1/2 binary64) c_p)
(pow.f64 #s(literal 2 binary64) c_n)
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 s (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) #s(literal 2 binary64))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) #s(literal 1 binary64))
(fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 #s(literal 1/2 binary64) c_n))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
(/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
(exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))))

Outputs

(exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))))

Calls

13 calls:

9.0ms	s
9.0ms	c_p
8.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
8.0ms	(exp.f64 (neg.f64 s))
6.0ms	(neg.f64 t)

Results

Accuracy	Segments	Branch
98.5%	1	`c_p`
98.5%	1	`c_n`
98.5%	1	`t`
98.5%	1	`s`
98.5%	1	`(/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))`
98.5%	1	`(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))`
98.5%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))`
98.5%	1	`(exp.f64 (neg.f64 s))`
98.5%	1	`(neg.f64 s)`
98.5%	1	`(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))`
98.5%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))`
98.5%	1	`(exp.f64 (neg.f64 t))`
98.5%	1	`(neg.f64 t)`

Compiler

Compiled 133 to 94 computations (29.3% saved)

regimes80.0ms (0.2%)

Memory

16.4MiB live, 173.1MiB allocated

Counts

20 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 #s(literal -1/2 binary64) (.f64 c_n s))
(fma.f64 s (*.f64 c_n #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 s (*.f64 c_n (fma.f64 s #s(literal -1/8 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(.f64 c_n (.f64 c_n (.f64 s (.f64 s #s(literal 1/8 binary64)))))
(fma.f64 s (fma.f64 s (.f64 c_n (fma.f64 c_n #s(literal 1/8 binary64) #s(literal -1/8 binary64))) (.f64 c_n #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 #s(literal 1/2 binary64) c_n)
(pow.f64 #s(literal 1/2 binary64) c_p)
(pow.f64 #s(literal 2 binary64) c_n)
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) c_n))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 s (fma.f64 #s(literal 1/2 binary64) s #s(literal -1 binary64)) #s(literal 2 binary64))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) #s(literal 1 binary64))
(fma.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) (log.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 #s(literal 1/2 binary64) c_n))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n))
(/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
(/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))

Outputs
(fma.f64 s (*.f64 c_n #s(literal -1/2 binary64)) #s(literal 1 binary64))

Calls

13 calls:

9.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))
8.0ms	c_n
7.0ms	(/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))
6.0ms	c_p
6.0ms	t

Results

Accuracy	Segments	Branch
98.3%	1	`c_p`
98.3%	1	`c_n`
98.3%	1	`t`
98.3%	1	`s`
98.3%	1	`(/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))`
98.3%	1	`(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))`
98.3%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))`
98.3%	1	`(exp.f64 (neg.f64 s))`
98.3%	1	`(neg.f64 s)`
98.3%	1	`(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))`
98.3%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))`
98.3%	1	`(exp.f64 (neg.f64 t))`
98.3%	1	`(neg.f64 t)`

Compiler

Compiled 133 to 94 computations (29.3% saved)

regimes39.0ms (0.1%)

Memory

-33.3MiB live, 52.8MiB allocated

Accuracy

Total -60.7b remaining (-5559.6%)

Threshold costs -60.7b (-5559.6%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 #s(literal -1/2 binary64) (.f64 c_n s))

Outputs
#s(literal 1 binary64)

Calls

13 calls:

21.0ms	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
2.0ms	t
2.0ms	(neg.f64 t)
1.0ms	(neg.f64 s)
1.0ms	s

Results

Accuracy	Segments	Branch
98.3%	1	`c_p`
98.3%	1	`c_n`
98.3%	1	`t`
98.3%	1	`s`
98.3%	1	`(/.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))) c_n)))`
98.3%	1	`(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))`
98.3%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))`
98.3%	1	`(exp.f64 (neg.f64 s))`
98.3%	1	`(neg.f64 s)`
98.3%	1	`(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))`
98.3%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))`
98.3%	1	`(exp.f64 (neg.f64 t))`
98.3%	1	`(neg.f64 t)`

Compiler

Compiled 133 to 94 computations (29.3% saved)

simplify49.0ms (0.1%)

Memory

-19.8MiB live, 18.7MiB allocated

Algorithm

1×	egg-herbie

Rules

82×	`unsub-neg_binary64`
52×	`neg-mul-1_binary64`
32×	`distribute-neg-out_binary64`
28×	`+-commutative_binary64`
26×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	40
1	48	39
2	71	38
3	99	38
4	118	38
5	129	38
6	166	38
7	207	38

Stop Event

1×

saturated

Calls

Call 1

Inputs

(exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))))

(fma.f64 s (*.f64 c_n #s(literal -1/2 binary64)) #s(literal 1 binary64))

#s(literal 1 binary64)

Outputs
(exp.f64 (fma.f64 c_p (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))))))
(exp.f64 (fma.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) (*.f64 c_n (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))))))
(fma.f64 s (*.f64 c_n #s(literal -1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)

soundness734.0ms (1.4%)

Memory

1.9MiB live, 708.7MiB allocated

Rules

15 876×	`lower-fma.f64`
15 876×	`lower-fma.f32`
14 340×	`lower-fma.f64`
14 340×	`lower-fma.f32`
12 910×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	434	7149
1	1362	6564
2	4967	6021
0	9063	5694
0	351	3124
1	967	3063
2	2791	2967
3	7308	2965
0	8114	2748
0	893	15112
1	2698	14777
0	8237	13037
0	22	109
0	39	109
1	151	109
2	1022	104
0	8612	91

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 84 to 62 computations (26.2% saved)

preprocess72.0ms (0.1%)

Memory: 27.9MiB live, 146.4MiB allocated
Compiler: Compiled 236 to 136 computations (42.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	22	182
0	39	182
1	65	182
2	103	182
3	141	182
4	187	182
5	236	182
6	291	182
7	339	182
8	355	182
9	365	182
10	369	182
0	369	182

Iter	Nodes	Cost
0	25	198
0	43	196
1	57	196
2	67	196
3	76	196
4	82	196
5	95	196
6	111	196
7	117	196
0	117	196

Iter	Nodes	Cost
0	22	182
0	39	182
1	65	182
2	103	182
3	141	182
4	187	182
5	236	182
6	291	182
7	339	182
8	355	182
9	365	182
10	369	182
0	369	182

Iter	Nodes	Cost
0	25	198
0	43	196
1	57	196
2	67	196
3	76	196
4	82	196
5	95	196
6	111	196
7	117	196
0	117	196

analyze425.0ms (0.8%)

sample42.0s (82.3%)

preprocess107.0ms (0.2%)

explain383.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify45.0ms (0.1%)

localize85.0ms (0.2%)

series458.0ms (0.9%)

rewrite369.0ms (0.7%)

simplify461.0ms (0.9%)

eval90.0ms (0.2%)

prune80.0ms (0.2%)

simplify407.0ms (0.8%)

localize563.0ms (1.1%)

series395.0ms (0.8%)

rewrite274.0ms (0.5%)

simplify517.0ms (1%)

eval256.0ms (0.5%)

prune240.0ms (0.5%)

simplify10.0ms (0%)

localize154.0ms (0.3%)

series61.0ms (0.1%)

rewrite308.0ms (0.6%)

simplify593.0ms (1.2%)

eval276.0ms (0.5%)

prune218.0ms (0.4%)

simplify28.0ms (0.1%)

localize62.0ms (0.1%)

series11.0ms (0%)

rewrite461.0ms (0.9%)

simplify432.0ms (0.8%)

eval92.0ms (0.2%)

prune100.0ms (0.2%)

regimes82.0ms (0.2%)

regimes80.0ms (0.2%)

regimes39.0ms (0.1%)

simplify49.0ms (0.1%)

soundness734.0ms (1.4%)

preprocess72.0ms (0.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	22	182
0	39	182
1	65	182
2	103	182
3	141	182
4	187	182
5	236	182
6	291	182
7	339	182
8	355	182
9	365	182
10	369	182
0	369	182

Iter	Nodes	Cost
0	25	198
0	43	196
1	57	196
2	67	196
3	76	196
4	82	196
5	95	196
6	111	196
7	117	196
0	117	196