Metrics for Harley's example

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze390.0ms (0.8%)

Memory

19.0MiB live, 566.4MiB 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)

sample41.3s (80%)

Memory

169.8MiB live, 41 690.9MiB allocated

Samples

28.9s	7 764×	5	exit
5.5s	24 933×	0	exit
1.6s	8 057×	0	valid
95.0ms	145×	1	valid
76.0ms	17×	4	valid
54.0ms	16×	3	valid
28.0ms	21×	2	valid
15.0ms	33×	1	exit
1.0ms	1×	4	exit

Precisions

Click to see histograms. Total time spent on operations: 33.8s

ival-pow: 24.4s (72.3% of total)

adjust: 2.4s (7.1% of total)

ival-div: 1.7s (4.9% of total)

ival-exp: 1.2s (3.7% of total)

ival-add: 1.2s (3.7% of total)

ival-neg: 870.0ms (2.6% of total)

ival-mult: 815.0ms (2.4% of total)

ival-sub: 704.0ms (2.1% of total)

ival-<: 286.0ms (0.8% of total)

ival-and: 63.0ms (0.2% of total)

exact: 60.0ms (0.2% of total)

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

Bogosity

explain424.0ms (0.8%)

Memory

-32.9MiB live, 810.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
17	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)))`
5	0	-	-	`(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)`
3	1	(2042.8013318698422 181.61725642153502 -4.9443116967582345e-12 1.6638563731940594e+112)	-	`(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)`
2	0	-	-	`(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))`
2	2	(9.804471642938527e-42 2.927553947987177e+300 -13950809.194873169 4.4140901072616627e-246)	-	`(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	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)`
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	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	1	(867362.996740393 1.824766378270789e-100 -639.727722466214 2.2461593813943562e-101)	-	`(exp.f64 (neg.f64 t))`
0	0	-	-	`(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))`

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	17	0
↳	`(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)`	underflow	11
↳	`(*.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	21
↳	`(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))`	underflow	14
↳	`(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))`	underflow	4
↳	`(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	10
↳	`(exp.f64 (neg.f64 s))`	underflow	8
↳	`(exp.f64 (neg.f64 t))`	underflow	2
↳	`(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))`	underflow	10
↳	`(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	17
↳	`(-.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
`pow.f64`	`(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)`	uflow-rescue	5	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	5
`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	3	0
`pow.f64`	`(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)`	uflow-rescue	3	0
↳	`(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)`	underflow	11
↳	`(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))`	underflow	7
↳	`(exp.f64 (neg.f64 s))`	underflow	4
`-.f64`	`(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))`	cancellation	2	0
`exp.f64`	`(exp.f64 (neg.f64 t))`	sensitivity	1	0
`pow.f64`	`(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)`	sensitivity	1	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)`	uflow-rescue	1	0
↳	`(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))`	underflow	7
↳	`(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))`	underflow	4
↳	`(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	10
↳	`(exp.f64 (neg.f64 s))`	underflow	4
`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	5

Confusion

	Predicted +	Predicted -
+	28	0
-	0	228

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	28	0	0
-	0	1	227

Precision?

0.9655172413793104

Recall?

1.0

Freqs

test

number	freq
0	228
1	23
2	4
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

95.0ms	496×	0	valid
8.0ms	8×	2	valid
3.0ms	6×	1	valid
1.0ms	2×	3	valid

Compiler

Compiled 411 to 70 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-pow: 28.0ms (36.9% of total)

ival-exp: 11.0ms (14.5% of total)

ival-div: 10.0ms (13.2% of total)

ival-add: 8.0ms (10.5% of total)

ival-mult: 6.0ms (7.9% of total)

ival-neg: 6.0ms (7.9% of total)

ival-sub: 5.0ms (6.6% of total)

adjust: 1.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess131.0ms (0.3%)

Memory

5.6MiB live, 81.7MiB 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 (/.f64 (pow.f64 (/.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 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))) #s(literal -1 binary64)) c_n)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))) c_p)) (pow.f64 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64))) #s(literal -1 binary64)) c_n))

Compiler

Compiled 43 to 22 computations (48.8% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.2%	(/.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

▶

89.2%

(/.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 43 to 22 computations (48.8% saved)

simplify15.0ms (0%)

Memory

19.6MiB live, 19.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
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)
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))

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

localize141.0ms (0.3%)

Memory

-5.5MiB live, 116.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.28740194043983314	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
accuracy	0.7265459815985781	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
accuracy	1.2109099693309635	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
accuracy	4.054704003282305	(/.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

120.0ms	248×	0	valid
4.0ms	4×	2	valid
1.0ms	3×	1	valid
1.0ms	1×	3	valid

Compiler

Compiled 184 to 24 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-pow: 58.0ms (71.1% of total)

ival-exp: 7.0ms (8.6% of total)

ival-div: 5.0ms (6.1% of total)

ival-add: 3.0ms (3.7% of total)

ival-mult: 3.0ms (3.7% of total)

ival-sub: 2.0ms (2.5% of total)

ival-neg: 2.0ms (2.5% of total)

adjust: 1.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series562.0ms (1.1%)

Memory

6.9MiB live, 829.6MiB allocated

Counts

7 → 168

Calls

Call 1

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

Outputs
#s(alt (* (pow 1/2 c_n) (pow 1/2 c_p)) (taylor 0 s) (#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) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (+ (* s (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (taylor 0 s) (#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) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (+ (* s (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (+ (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* s (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))))))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (taylor 0 s) (#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) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (+ (* s (+ (* -1/2 (* c_n (* (pow 1/2 c_n) (pow 1/2 c_p)))) (+ (* 1/2 (* c_p (* (pow 1/2 c_n) (pow 1/2 c_p)))) (* s (+ (* -1/4 (* c_n (* c_p (* (pow 1/2 c_n) (pow 1/2 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))))) (+ (* 1/2 (* c_p (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))) (+ (* (+ (* -1/16 (pow c_p 2)) (* 1/48 (pow c_p 3))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/48 (pow c_n 3)) (* 1/16 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))))))) (+ (* (+ (* -1/8 c_n) (* 1/8 (pow c_n 2))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (* (+ (* -1/8 c_p) (* 1/8 (pow c_p 2))) (* (pow 1/2 c_n) (pow 1/2 c_p)))))))))) (* (pow 1/2 c_n) (pow 1/2 c_p))) (taylor 0 s) (#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) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))) c_n)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (pow 1/2 c_p) (taylor 0 s) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* c_p (* s (pow 1/2 c_p)))) (pow 1/2 c_p)) (taylor 0 s) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) #<representation binary64>) () ())) ())
#s(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)) (taylor 0 s) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) #<representation binary64>) () ())) ())
#s(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)) (taylor 0 s) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 s) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/4 s)) (taylor 0 s) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* s (+ 1/4 (* -1/48 (pow s 2))))) (taylor 0 s) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* s (+ 1/4 (* (pow s 2) (- (* 1/480 (pow s 2)) 1/48))))) (taylor 0 s) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 s) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -1 s)) (taylor 0 s) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* s (- (* 1/2 s) 1))) (taylor 0 s) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))) #<representation binary64>) () ())) ())
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#s(alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) (taylor -inf t) (#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 (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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))) (taylor -inf t) (#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 (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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) (taylor -inf t) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #<representation binary64>) () ())) ())
#s(alt (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) (taylor -inf t) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #<representation binary64>) () ())) ())
#s(alt (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) (taylor -inf t) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p) #<representation binary64>) () ())) ())
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Calls

12 calls:

Time	Variable		Point	Expression
161.0ms	s	@	inf	((* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (/ 1 (+ 1 (exp (neg s)))) (+ 1 (exp (neg s))) (/ (* (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))) (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (- 1 (/ 1 (+ 1 (exp (neg s))))))
106.0ms	t	@	inf	((* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (/ 1 (+ 1 (exp (neg s)))) (+ 1 (exp (neg s))) (/ (* (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))) (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (- 1 (/ 1 (+ 1 (exp (neg s))))))
63.0ms	s	@	-inf	((* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (/ 1 (+ 1 (exp (neg s)))) (+ 1 (exp (neg s))) (/ (* (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))) (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (- 1 (/ 1 (+ 1 (exp (neg s))))))
60.0ms	c_n	@	inf	((* (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) (/ 1 (+ 1 (exp (neg s)))) (+ 1 (exp (neg s))) (/ (* (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))) (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (- 1 (/ 1 (+ 1 (exp (neg s))))))
55.0ms	t	@	-inf	((* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (/ 1 (+ 1 (exp (neg s)))) (+ 1 (exp (neg s))) (/ (* (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))) (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (- 1 (/ 1 (+ 1 (exp (neg s))))))

simplify231.0ms (0.4%)

Memory

-20.3MiB live, 268.8MiB allocated

Algorithm

1×	egg-herbie

Rules

13 604×	`lower-fma.f64`
13 604×	`lower-fma.f32`
6 730×	`lower-*.f64`
6 730×	`lower-*.f32`
5 028×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	413	6854
1	1288	6276
2	4718	5743
0	8730	5438

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

rewrite151.0ms (0.3%)

Memory

15.6MiB live, 240.3MiB allocated

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	103
0	39	103
1	151	103
2	1022	98
0	8612	86

Stop Event

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

Counts

7 → 425

Calls

Call 1

Inputs
(*.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) (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 (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) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))

Outputs
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eval116.0ms (0.2%)

Memory: 41.5MiB live, 198.1MiB allocated
Compiler: Compiled 37 595 to 2 470 computations (93.4% saved)

prune41.0ms (0.1%)

Memory

-32.9MiB live, 56.4MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	702	5	707
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	703	5	708

Accuracy

99.9%

Counts

708 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.4%	(/.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(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #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)))
▶	87.6%	(/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) 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)))
▶	95.7%	(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 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))))))
▶	91.8%	#s(approx (/ (* (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))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)))
▶	93.9%	#s(approx (/ (* (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))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)))

Compiler

Compiled 294 to 206 computations (29.9% saved)

simplify188.0ms (0.4%)

Memory

29.7MiB live, 144.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	64	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
cost-diff	64	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
cost-diff	6336	(/.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(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #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	12608	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
cost-diff	64	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))))
cost-diff	64	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))
cost-diff	384	(/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) 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)))
cost-diff	12608	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
cost-diff	0	#s(approx (/ (* (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))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)))
cost-diff	64	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))
cost-diff	64	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))
cost-diff	6720	(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n))
cost-diff	0	(+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (* (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))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)))
cost-diff	12608	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)
cost-diff	12608	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p)
cost-diff	0	(log1p.f64 (exp.f64 (neg.f64 s)))
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 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))))))
cost-diff	256	(-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))

Rules

4 586×	`lower-fma.f32`
4 584×	`lower-fma.f64`
2 034×	`lower-*.f32`
2 026×	`lower-*.f64`
1 596×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	876
0	126	876
1	193	873
2	304	870
3	496	841
4	850	778
5	1411	773
6	2514	773
7	3845	773
8	5024	773
9	5877	773
10	6697	773
11	7292	773
12	7743	773
0	8012	732

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 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))))))
(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 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))))))
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 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))))
c_n
(-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))))
(log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64)))
(pow.f64 (-.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 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))
(pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t)))
#s(approx (/ (* (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))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p)
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.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 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))
(+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))
(exp.f64 (neg.f64 t))
(neg.f64 t)
t
#s(approx (/ (* (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))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (-.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (-.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))
(+.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 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))
(+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))
(exp.f64 (neg.f64 t))
(neg.f64 t)
t
(/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) 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)))
#s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n))
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))
(+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))
(exp.f64 (neg.f64 s))
(neg.f64 s)
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
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 #s(literal 1 binary64) (+.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(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #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(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #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(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #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))))
(+.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 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))))))
(/.f64 (pow.f64 (exp.f64 c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))) (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) 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 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))))))
(fma.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (*.f64 (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) c_n))
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 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))))
(*.f64 (-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) c_n)
c_n
(-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))))
(log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64)))
(pow.f64 (-.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 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))
(pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t)))
#s(approx (/ (* (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))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)))
#s(approx (/ (* (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))) (pow.f64 (exp.f64 c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))
(pow.f64 (exp.f64 c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p)
(pow.f64 (-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64)) (neg.f64 c_p))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))
#s(literal 1 binary64)
(+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))
(-.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 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)
(pow.f64 (-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64)) (neg.f64 c_p))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))
(+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))
(-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))
(exp.f64 (neg.f64 t))
(neg.f64 t)
t
#s(approx (/ (* (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))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)))
#s(approx (/ (* (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))) (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (-.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 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n)
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n)
(pow.f64 (neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))
(neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))
(+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))
(-.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 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)
(pow.f64 (neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))
(neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))
(+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))
(-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))
(exp.f64 (neg.f64 t))
(neg.f64 t)
t
(/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) 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 (exp.f64 c_p) (log1p.f64 (exp.f64 (neg.f64 t)))) (pow.f64 (neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n)) #s(approx ( (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 (neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n)))
#s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n))
#s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 (neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n))
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n)
(pow.f64 (neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))
(neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))
(+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))
(-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64))
(exp.f64 (neg.f64 s))
(neg.f64 s)
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 (neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n) (pow.f64 (exp.f64 c_p) (log1p.f64 (exp.f64 (neg.f64 t)))))
(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))))
(exp.f64 (neg.f64 (log1p.f64 (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
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 (neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (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)))))
(neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (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(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #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 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n) (pow.f64 (-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64)) c_p)) #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)))
(*.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 (neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))))) c_n) (pow.f64 (-.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))))
(exp.f64 (neg.f64 (log1p.f64 (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_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 (neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (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)))))
(neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s))))))
c_n
(*.f64 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #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(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (pow.f64 (neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))) c_n))
#s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #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 (neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (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)))))
(neg.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))
(exp.f64 (neg.f64 (log1p.f64 (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

localize631.0ms (1.2%)

Memory

16.7MiB live, 759.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.28740194043983314	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))))
accuracy	0.7265459815985781	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))) c_p)
accuracy	2.8242421334282355	(/.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(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #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	3.6124484414991906	#s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64))
accuracy	0.28740194043983314	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))
accuracy	0.7265459815985781	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)
accuracy	2.8242421334282355	(/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) 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)))
accuracy	3.5460076858436205	#s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n))
accuracy	0.24218199386619269	(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n)
accuracy	0.28740194043983314	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))
accuracy	0.48437500000000006	#s(approx (/ (* (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))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)))
accuracy	1.2148533781741093	(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n))
accuracy	0.3285391599701449	#s(approx (/ (* (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))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)))
accuracy	0.7265459815985781	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)
accuracy	0.7265459815985781	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p)
accuracy	1.609388755254126	(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))
accuracy	0.7418506918083881	(log1p.f64 (exp.f64 (neg.f64 t)))
accuracy	0.7456909399666101	(log1p.f64 (exp.f64 (neg.f64 s)))
accuracy	52.91069422728005	(-.f64 (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))))
accuracy	52.92507382916355	(-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t)))))

Samples

338.0ms	200×	1	valid
90.0ms	17×	2	valid
59.0ms	3×	4	exit
25.0ms	29×	0	valid
4.0ms	6×	1	exit
2.0ms	1×	3	valid

Compiler

Compiled 846 to 53 computations (93.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 433.0ms

ival-pow: 102.0ms (23.5% of total)

ival-exp: 78.0ms (18% of total)

ival-mult: 60.0ms (13.8% of total)

ival-div: 52.0ms (12% of total)

ival-log1p: 51.0ms (11.8% of total)

adjust: 40.0ms (9.2% of total)

ival-sub: 19.0ms (4.4% of total)

ival-neg: 18.0ms (4.2% of total)

ival-add: 12.0ms (2.8% of total)

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

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

exact: 0.0ms (0% of total)

series657.0ms (1.3%)

Memory

-5.9MiB live, 1 164.7MiB allocated

Counts

24 → 636

Calls

Call 1

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

Outputs
#s(alt (- (log (+ 1 (exp (neg t)))) (log 2)) (taylor 0 s) (#s(alt (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (patch (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (log 2)) (taylor 0 s) (#s(alt (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (patch (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2)) (taylor 0 s) (#s(alt (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (patch (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8))))) (log 2)) (taylor 0 s) (#s(alt (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) (patch (-.f64 (neg.f64 (log1p.f64 (exp.f64 (neg.f64 s)))) (neg.f64 (log1p.f64 (exp.f64 (neg.f64 t))))) #<representation binary64>) () ())) ())
#s(alt (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2)))) (taylor 0 s) (#s(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 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))))) (patch (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 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p))))) (taylor 0 s) (#s(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 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))))) (patch (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 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/8 c_n) (* -1/8 c_p)))))))) (taylor 0 s) (#s(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 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))))) (patch (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 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))))) #<representation binary64>) () ())) ())
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#s(alt (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) (taylor -inf t) (#s(alt #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (patch #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) (taylor -inf t) (#s(alt #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (patch #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) (taylor -inf t) (#s(alt #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) (patch #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #s(literal 1 binary64)) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
215.0ms	t	@	-inf	((- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (neg (log (+ 1 (exp (neg s))))) (log (+ 1 (exp (neg s)))) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (/ (* (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))) (+ (exp (neg s)) 1) (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (- 1 (/ 1 (+ (exp (neg s)) 1))) (- 1 (/ 1 (+ (exp (neg t)) 1))) (/ (* (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))) (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (/ (* (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))) (- 1 (/ 1 (+ 1 (exp (neg t))))) (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 t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (- 1 (/ 1 (+ 1 (exp (neg s))))) (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (log (+ 1 (exp (neg t)))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (* (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))
78.0ms	t	@	inf	((- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (neg (log (+ 1 (exp (neg s))))) (log (+ 1 (exp (neg s)))) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (/ (* (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))) (+ (exp (neg s)) 1) (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (- 1 (/ 1 (+ (exp (neg s)) 1))) (- 1 (/ 1 (+ (exp (neg t)) 1))) (/ (* (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))) (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (/ (* (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))) (- 1 (/ 1 (+ 1 (exp (neg t))))) (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 t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (- 1 (/ 1 (+ 1 (exp (neg s))))) (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (log (+ 1 (exp (neg t)))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (* (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))
67.0ms	s	@	inf	((- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (neg (log (+ 1 (exp (neg s))))) (log (+ 1 (exp (neg s)))) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (/ (* (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))) (+ (exp (neg s)) 1) (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (- 1 (/ 1 (+ (exp (neg s)) 1))) (- 1 (/ 1 (+ (exp (neg t)) 1))) (/ (* (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))) (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (/ (* (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))) (- 1 (/ 1 (+ 1 (exp (neg t))))) (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 t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (- 1 (/ 1 (+ 1 (exp (neg s))))) (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (log (+ 1 (exp (neg t)))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (* (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))
59.0ms	s	@	-inf	((- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (neg (log (+ 1 (exp (neg s))))) (log (+ 1 (exp (neg s)))) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (/ (* (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))) (+ (exp (neg s)) 1) (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (- 1 (/ 1 (+ (exp (neg s)) 1))) (- 1 (/ 1 (+ (exp (neg t)) 1))) (/ (* (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))) (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (/ (* (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))) (- 1 (/ 1 (+ 1 (exp (neg t))))) (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 t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (- 1 (/ 1 (+ 1 (exp (neg s))))) (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (log (+ 1 (exp (neg t)))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (* (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))
32.0ms	c_n	@	inf	((- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t)))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (neg (log (+ 1 (exp (neg s))))) (log (+ 1 (exp (neg s)))) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (/ (* (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))) (+ (exp (neg s)) 1) (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (- 1 (/ 1 (+ (exp (neg s)) 1))) (- 1 (/ 1 (+ (exp (neg t)) 1))) (/ (* (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))) (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (/ (* (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))) (- 1 (/ 1 (+ 1 (exp (neg t))))) (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 t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) (- 1 (/ 1 (+ 1 (exp (neg s))))) (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))) (log (+ 1 (exp (neg t)))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (* (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))

simplify313.0ms (0.6%)

Memory

35.1MiB live, 457.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 654×	`lower-fma.f64`
11 654×	`lower-fma.f32`
7 388×	`lower-*.f64`
7 388×	`lower-*.f32`
4 856×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	782	28399
1	2363	26223
2	7797	26207
0	8110	24431

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 636

Calls

Call 1

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

Outputs
(- (log (+ 1 (exp (neg t)))) (log 2))
(-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))
(- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (log 2))
(fma.f64 s #s(literal 1/2 binary64) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))))
(- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* -1/8 s)))) (log 2))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) s #s(literal 1/2 binary64)) s (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))))
(- (+ (log (+ 1 (exp (neg t)))) (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8))))) (log 2))
(fma.f64 (fma.f64 (fma.f64 (*.f64 s s) #s(literal 1/192 binary64) #s(literal -1/8 binary64)) s #s(literal 1/2 binary64)) s (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))))
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))
(fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))))
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p)))))
(fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))))))
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/8 c_n) (* -1/8 c_p))))))))
(fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n)) s (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64)))) s (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))))))
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/8 c_n) (+ (* -1/8 c_p) (* (pow s 2) (+ (* 1/192 c_n) (* 1/192 c_p)))))))))))
(fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/192 binary64) (+.f64 c_p c_n)) (.f64 s s) (.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n))) s (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64)))) s (*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))))))
(* -1 (log 2))
(neg.f64 (log.f64 #s(literal 2 binary64)))
(- (* 1/2 s) (log 2))
(-.f64 (*.f64 s #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(- (* s (+ 1/2 (* -1/8 s))) (log 2))
(-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) s #s(literal 1/2 binary64)) s) (log.f64 #s(literal 2 binary64)))
(- (* s (+ 1/2 (* s (- (* 1/192 (pow s 2)) 1/8)))) (log 2))
(-.f64 (.f64 (fma.f64 (fma.f64 (.f64 s s) #s(literal 1/192 binary64) #s(literal -1/8 binary64)) s #s(literal 1/2 binary64)) s) (log.f64 #s(literal 2 binary64)))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* -1/2 s))
(fma.f64 #s(literal -1/2 binary64) s (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* s (- (* 1/8 s) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) s #s(literal -1/2 binary64)) s (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* s (- (* s (+ 1/8 (* -1/192 (pow s 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 s s) #s(literal 1/8 binary64)) s #s(literal -1/2 binary64)) s (log.f64 #s(literal 2 binary64)))
(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))
(fma.f64 (.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64)) s (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) (fma.f64 s (fma.f64 (.f64 c_p c_p) #s(literal 1/8 binary64) (.f64 c_p #s(literal -1/8 binary64))) (.f64 c_p #s(literal 1/2 binary64)))) s (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 (fma.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) c_p) (fma.f64 s (fma.f64 (pow.f64 c_p #s(literal 3 binary64)) #s(literal 1/48 binary64) (.f64 #s(literal -1/16 binary64) (.f64 c_p c_p))) (fma.f64 (.f64 c_p c_p) #s(literal 1/8 binary64) (.f64 c_p #s(literal -1/8 binary64))))) s (.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_p) c_p) #s(literal 1/2 binary64))) s (pow.f64 #s(literal 1/2 binary64) 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)))
(/.f64 (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n))
(+ (* 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))))
(fma.f64 (fma.f64 (/.f64 (.f64 (.f64 c_n (pow.f64 #s(literal 1/2 binary64) c_p)) (pow.f64 #s(literal 1/2 binary64) c_n)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)) (/.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 c_p (pow.f64 #s(literal 1/2 binary64) c_n))) (pow.f64 #s(literal 1/2 binary64) c_p)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n))) s (/.f64 (/.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) c_n) (pow.f64 #s(literal 1/2 binary64) c_p)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)))
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(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)

rewrite176.0ms (0.3%)

Memory

-4.5MiB live, 345.6MiB allocated

Rules

3 764×	`lower-*.f32`
3 756×	`lower-*.f64`
3 596×	`lower-/.f32`
3 584×	`lower-/.f64`
2 374×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	477
0	124	459
1	469	433
2	2850	418
0	9160	410

Stop Event

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

Counts

24 → 903

Calls

Call 1

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

Outputs
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eval334.0ms (0.6%)

Memory: 25.8MiB live, 526.6MiB allocated
Compiler: Compiled 81 430 to 5 070 computations (93.8% saved)

prune72.0ms (0.1%)

Memory

12.8MiB live, 138.8MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	1 824	9	1 833
Fresh	0	0	0
Picked	5	0	5
Done	0	0	0
Total	1 829	9	1 838

Accuracy

100.0%

Counts

1 838 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.3%	(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))))))))
	96.5%	(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n)))
▶	90.8%	#s(approx (/ (* (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))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))))
▶	92.9%	#s(approx (/ (* (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))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)))
	93.3%	#s(approx (/ (* (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))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)))
▶	93.5%	#s(approx (/ (* (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))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n)))
	94.2%	#s(approx (/ (* (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))) (/.f64 (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) #s(literal 1/2 binary64)) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)))
	90.1%	#s(approx (/ (* (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))) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)))
▶	95.3%	#s(approx (/ (* (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))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64)))

Compiler

Compiled 330 to 306 computations (7.3% saved)

simplify177.0ms (0.3%)

Memory

-11.4MiB live, 216.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64))))
cost-diff	0	(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p)
cost-diff	0	(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))
cost-diff	0	#s(approx (/ (* (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))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))
cost-diff	0	(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n)
cost-diff	0	(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n))
cost-diff	0	#s(approx (/ (* (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))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))
cost-diff	0	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p)
cost-diff	0	(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (* (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))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))))
cost-diff	0	#s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (* (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))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))))))
cost-diff	0	(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))))))))
cost-diff	128	(fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))))))
cost-diff	192	(fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))))

Rules

17 334×	`lower-fma.f32`
17 322×	`lower-fma.f64`
3 412×	`lower-+.f32`
3 408×	`lower-+.f64`
3 046×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	851
0	143	851
1	222	849
2	353	843
3	769	843
4	1477	843
5	3086	843
6	5366	843
7	7271	843
0	8354	826

Stop Event

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

Calls

Call 1

Inputs
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))))))))
#s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))))))
(fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))))))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))
(log.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))
#s(literal -1 binary64)
(+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))
(exp.f64 (neg.f64 t))
(neg.f64 t)
t
#s(literal 1 binary64)
c_n
(fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64)))
#s(literal -1/2 binary64)
(*.f64 c_p #s(literal 1/2 binary64))
c_p
s
(*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))))
(-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))
(log1p.f64 (exp.f64 (neg.f64 t)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (* (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))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64)))
#s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (* (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))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p)
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))
(exp.f64 (neg.f64 s))
(neg.f64 s)
s
c_p
#s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))
#s(approx (/ (* (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))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n)))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n))
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))
(+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))
(exp.f64 (neg.f64 s))
(neg.f64 s)
s
c_n
(pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n)
#s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (* (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))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p)
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64))
(fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
s
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(literal 2 binary64)
c_p
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))
(+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))
(exp.f64 (neg.f64 t))
(neg.f64 t)
t

Outputs
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))))))))
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) s (log.f64 #s(literal 1/2 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) c_n (*.f64 (fma.f64 #s(literal 1/2 binary64) s (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))) c_p))))
#s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))))))
#s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (fma.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) s (log.f64 #s(literal 1/2 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) c_n (*.f64 (fma.f64 #s(literal 1/2 binary64) s (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))) c_p)))
(fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))))))
(fma.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) s (log.f64 #s(literal 1/2 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))) c_n (*.f64 (fma.f64 #s(literal 1/2 binary64) s (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))) c_p))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))))
(log.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))
(log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))
(pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64))
#s(literal -1 binary64)
(+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))
(-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))
(exp.f64 (neg.f64 t))
(neg.f64 t)
t
#s(literal 1 binary64)
c_n
(fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 #s(literal -1/2 binary64) s) (-.f64 c_n c_p) (.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p))
(fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) c_n (*.f64 #s(literal 1/2 binary64) c_p))
#s(literal -1/2 binary64)
(*.f64 c_p #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) c_p)
c_p
s
(*.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))))
(*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p)
(-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))
(log1p.f64 (exp.f64 (neg.f64 t)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (* (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))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64)))
#s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (* (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))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))))
#s(approx (/ (* (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))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64))) c_p)
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))
(-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64))
(exp.f64 (neg.f64 s))
(neg.f64 s)
s
c_p
#s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))
#s(approx (/ (* (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))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n)))
#s(approx (/ (* (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))) (/.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64)) #s(literal -1 binary64)) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n)))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n))
(/.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64)) #s(literal -1 binary64)) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n))
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n)
(pow.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64)) #s(literal -1 binary64)) c_n)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))
(-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64)) #s(literal -1 binary64))
#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 (exp.f64 (neg.f64 s)) #s(literal -1 binary64)))
(+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))
(-.f64 (exp.f64 (neg.f64 s)) #s(literal -1 binary64))
(exp.f64 (neg.f64 s))
(neg.f64 s)
s
c_n
(pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n)
#s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (* (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))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)))
#s(approx (/ (* (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))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))) c_p)))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))) c_p))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p)
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64))
(fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
s
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(literal 2 binary64)
c_p
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))) c_p)
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64)))
(+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))
(-.f64 (exp.f64 (neg.f64 t)) #s(literal -1 binary64))
(exp.f64 (neg.f64 t))
(neg.f64 t)
t

localize663.0ms (1.3%)

Memory

6.4MiB live, 983.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.3285391599701449	#s(approx (/ (* (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))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)))
accuracy	0.7265459815985781	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)
accuracy	0.9224366932714094	#s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))
accuracy	1.609388755254126	(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))
accuracy	0.28740194043983314	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))
accuracy	0.48437500000000006	#s(approx (/ (* (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))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n)))
accuracy	1.2148533781741093	(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n))
accuracy	2.805637923192489	#s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64))
accuracy	0.015625	(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))
accuracy	0.3285391599701449	#s(approx (/ (* (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))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))))
accuracy	1.609388755254126	(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))
accuracy	3.6124484414991906	#s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))
accuracy	0.3285391599701449	#s(approx (/ (* (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))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64)))
accuracy	0.48437500000000006	#s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))
accuracy	0.7418506918083881	(log1p.f64 (exp.f64 (neg.f64 t)))
accuracy	1.5088311083490542	#s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))))))
accuracy	54.10002092356571	(-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))
accuracy	54.10623711785308	(-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))

Samples

370.0ms	181×	1	valid
136.0ms	45×	2	valid
67.0ms	3×	4	exit
12.0ms	17×	0	valid
9.0ms	9×	1	exit
3.0ms	1×	3	valid

Compiler

Compiled 666 to 77 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 535.0ms

ival-pow: 117.0ms (21.9% of total)

ival-log1p: 102.0ms (19.1% of total)

ival-exp: 60.0ms (11.2% of total)

adjust: 58.0ms (10.8% of total)

ival-div: 48.0ms (9% of total)

ival-log: 47.0ms (8.8% of total)

ival-mult: 35.0ms (6.5% of total)

ival-sub: 29.0ms (5.4% of total)

ival-add: 25.0ms (4.7% of total)

ival-neg: 7.0ms (1.3% of total)

const: 4.0ms (0.7% of total)

exact: 1.0ms (0.2% of total)

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

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

series542.0ms (1.1%)

Memory

-8.5MiB live, 713.2MiB allocated

Counts

25 → 744

Calls

Call 1

Inputs
#s(alt (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))))) (patch (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())
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#s(alt (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))))))) (patch (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))))))) (patch #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))))))) #<representation binary64>) () ())
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#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (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))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n))) (patch #s(approx (/ (* (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))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n))) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n)) (patch (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n)) #<representation binary64>) () ())
#s(alt (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (patch (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (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))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) (patch #s(approx (/ (* (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))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) (patch (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) (patch (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) (patch (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (log1p.f64 (exp.f64 (neg.f64 t))) (patch (log1p.f64 (exp.f64 (neg.f64 t))) #<representation binary64>) () ())
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#s(alt #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) (patch #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
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#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) #<representation binary64>) () ())

Outputs
#s(alt (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (taylor 0 s) (#s(alt (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))))) (patch (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p)))) (taylor 0 s) (#s(alt (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))))) (patch (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p)))) (taylor 0 s) (#s(alt (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))))) (patch (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p)))) (taylor 0 s) (#s(alt (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))))) (patch (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2)))) (taylor 0 s) (#s(alt (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))))) (patch (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p))))) (taylor 0 s) (#s(alt (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))))) (patch (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
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#s(alt (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) (taylor -inf t) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) #<representation binary64>) () ())) ())
#s(alt (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p) (taylor -inf t) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
129.0ms	t	@	-inf	((+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2)))) (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (/ (* (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))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/ (* (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))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ 1 (+ (exp (neg s)) 1)) (/ (* (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))) (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (/ (* (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))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ 1 (+ (exp (neg s)) 1)) (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) (- (log (+ 1 (exp (neg t)))) (log 2)) (log (+ 1 (exp (neg t)))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (- 1 (/ 1 (+ (exp (neg t)) 1))) (- 1 (/ 1 (+ (exp (neg s)) 1))) (+ (exp (neg s)) 1) (pow (/ 1 (+ (exp (neg t)) 1)) c_p))
96.0ms	t	@	inf	((+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2)))) (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (/ (* (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))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/ (* (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))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ 1 (+ (exp (neg s)) 1)) (/ (* (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))) (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (/ (* (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))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ 1 (+ (exp (neg s)) 1)) (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) (- (log (+ 1 (exp (neg t)))) (log 2)) (log (+ 1 (exp (neg t)))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (- 1 (/ 1 (+ (exp (neg t)) 1))) (- 1 (/ 1 (+ (exp (neg s)) 1))) (+ (exp (neg s)) 1) (pow (/ 1 (+ (exp (neg t)) 1)) c_p))
53.0ms	s	@	inf	((+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2)))) (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (/ (* (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))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/ (* (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))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ 1 (+ (exp (neg s)) 1)) (/ (* (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))) (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (/ (* (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))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ 1 (+ (exp (neg s)) 1)) (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) (- (log (+ 1 (exp (neg t)))) (log 2)) (log (+ 1 (exp (neg t)))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (- 1 (/ 1 (+ (exp (neg t)) 1))) (- 1 (/ 1 (+ (exp (neg s)) 1))) (+ (exp (neg s)) 1) (pow (/ 1 (+ (exp (neg t)) 1)) c_p))
53.0ms	s	@	-inf	((+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2)))) (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (/ (* (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))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/ (* (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))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ 1 (+ (exp (neg s)) 1)) (/ (* (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))) (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (/ (* (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))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ 1 (+ (exp (neg s)) 1)) (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) (- (log (+ 1 (exp (neg t)))) (log 2)) (log (+ 1 (exp (neg t)))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (- 1 (/ 1 (+ (exp (neg t)) 1))) (- 1 (/ 1 (+ (exp (neg s)) 1))) (+ (exp (neg s)) 1) (pow (/ 1 (+ (exp (neg t)) 1)) c_p))
25.0ms	c_n	@	-inf	((+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2)))) (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (/ (* (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))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (/ (* (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))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ 1 (+ (exp (neg s)) 1)) (/ (* (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))) (/ (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (pow (- 1 (/ 1 (+ (exp (neg t)) 1))) c_n)) (pow (- 1 (/ 1 (+ (exp (neg s)) 1))) c_n) (/ (* (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))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ 1 (+ (exp (neg s)) 1)) (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) (- (log (+ 1 (exp (neg t)))) (log 2)) (log (+ 1 (exp (neg t)))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (- 1 (/ 1 (+ (exp (neg t)) 1))) (- 1 (/ 1 (+ (exp (neg s)) 1))) (+ (exp (neg s)) 1) (pow (/ 1 (+ (exp (neg t)) 1)) c_p))

simplify403.0ms (0.8%)

Memory

4.0MiB live, 349.4MiB allocated

Algorithm

1×	egg-herbie

Rules

13 568×	`lower-fma.f64`
13 568×	`lower-fma.f32`
8 746×	`lower-*.f64`
8 746×	`lower-*.f32`
5 686×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	920	33944
1	2864	31789
0	9088	29129

Stop Event

1×	iter limit
1×	node limit

Counts

744 → 744

Calls

Call 1

Inputs
(* c_p (- (log (+ 1 (exp (neg t)))) (log 2)))
(+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p))))
(+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p))))
(+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p))))
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p)))))
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p)))))
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p)))))
(exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2)))))
(+ (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)))))
(+ (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))))))
(+ (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))))))
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p)))))
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/8 c_n) (* -1/8 c_p))))))))
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/8 c_n) (+ (* -1/8 c_p) (* (pow s 2) (+ (* 1/192 c_n) (* 1/192 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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(* 1/2 t)
(* t (+ 1/2 (* 1/8 t)))
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(* t (+ 1/2 (* t (+ 1/8 (* (pow t 2) (- (* 1/2880 (pow t 2)) 1/192))))))
(* -1/2 t)
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(log 2)
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1/2
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(+ (* 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)))))))
(/ (* (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 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))
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(/ (* (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 (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 (neg t)))) c_p))
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (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 (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))
(/ (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))
(/ (* (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 (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 (neg t)))) c_p))
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))
(- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))
(- (log (+ 1 (exp (neg t)))) (log 2))
(- (log (+ 1 (exp (neg t)))) (log 2))
(- (log (+ 1 (exp (neg t)))) (log 2))
(- (log (+ 1 (exp (neg t)))) (log 2))
(log (+ 1 (exp (neg t))))
(log (+ 1 (exp (neg t))))
(log (+ 1 (exp (neg t))))
(log (+ 1 (exp (neg t))))
(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 (/ 1 (+ 1 (exp (neg t)))))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(- 1 (/ 1 (+ 1 (exp (neg t)))))
(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)
(+ (* c_p (- (log (+ 1 (exp (* -1 t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p))))
(+ (* c_p (- (log (+ 1 (exp (* -1 t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p))))
(+ (* c_p (- (log (+ 1 (exp (* -1 t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p))))
(+ (* c_p (- (log (+ 1 (exp (* -1 t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p))))
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (+ (* c_p (- (log (+ 1 (exp (* -1 t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p)))))
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (+ (* c_p (- (log (+ 1 (exp (* -1 t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p)))))
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (+ (* c_p (- (log (+ 1 (exp (* -1 t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p)))))
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (+ (* c_p (- (log (+ 1 (exp (* -1 t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p)))))
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))))))
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))))))
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))))))
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))))))
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s)))))))
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s)))))))
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s)))))))
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s)))))))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 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 (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 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 (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 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 (* -1 t))))) c_n) (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 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 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 (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 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 (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 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 (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 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 (* -1 t))))) c_n) (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 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 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 (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 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 (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 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 (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 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 (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n))
(/ (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n))
(/ (* (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n) (pow (/ 1 (+ 1 (exp (neg s)))) c_p)) (* (pow (- 1 (/ 1 (+ 1 (exp (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 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 (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 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 (* -1 t))))) c_n) (pow (/ 1 (+ 1 (exp (* -1 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 (* -1 t))))) c_n) (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 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (* -1 t)))) c_p))
(- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))
(- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))
(- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))
(- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))
(- (log (+ 1 (exp (* -1 t)))) (log 2))
(- (log (+ 1 (exp (* -1 t)))) (log 2))
(- (log (+ 1 (exp (* -1 t)))) (log 2))
(- (log (+ 1 (exp (* -1 t)))) (log 2))
(log (+ 1 (exp (* -1 t))))
(log (+ 1 (exp (* -1 t))))
(log (+ 1 (exp (* -1 t))))
(log (+ 1 (exp (* -1 t))))
(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 (+ 1 (exp (* -1 t)))))
(- 1 (/ 1 (+ 1 (exp (* -1 t)))))
(- 1 (/ 1 (+ 1 (exp (* -1 t)))))
(- 1 (/ 1 (+ 1 (exp (* -1 t)))))
(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)

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

rewrite182.0ms (0.4%)

Memory

14.4MiB live, 326.2MiB allocated

Rules

4 158×	`lower-*.f32`
4 154×	`lower-*.f64`
3 060×	`lower-fma.f32`
3 048×	`lower-fma.f64`
2 954×	`lower-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	701
0	143	687
1	621	676
2	4362	676
0	8235	638

Stop Event

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

Counts

25 → 482

Calls

Call 1

Inputs
(fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))))
(fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))))))
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))))))))
#s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))))))
#s(approx (/ (* (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))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64)))
#s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64))
#s(approx (/ (* (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))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p)
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))
#s(approx (/ (* (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))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n)))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n))
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n)
#s(approx (/ (* (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))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p)
(/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64))))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))
(log1p.f64 (exp.f64 (neg.f64 t)))
#s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))
#s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))))
#s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)

Outputs
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eval247.0ms (0.5%)

Memory: -0.5MiB live, 428.1MiB allocated
Compiler: Compiled 50 472 to 3 509 computations (93% saved)

prune23.0ms (0%)

Memory

14.6MiB live, 91.5MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	1 256	3	1 259
Fresh	4	0	4
Picked	4	1	5
Done	0	0	0
Total	1 264	4	1 268

Accuracy

100.0%

Counts

1 268 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) c_n (.f64 #s(literal -1/2 binary64) c_p)) t (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (*.f64 c_n #s(literal -1/2 binary64))) s)))))
▶	98.9%	(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (.f64 c_n #s(literal -1/2 binary64))) s))))
▶	91.6%	#s(approx (/ (* (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))) (/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))))
✓	95.3%	#s(approx (/ (* (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))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64)))

Compiler

Compiled 41 to 45 computations (-9.8% saved)

simplify523.0ms (1%)

Memory

-247.8MiB live, 255.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) c_n (.f64 #s(literal -1/2 binary64) c_p)) t (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (*.f64 c_n #s(literal -1/2 binary64))) s)))))
cost-diff	192	(fma.f64 #s(literal 1/2 binary64) c_p (*.f64 c_n #s(literal -1/2 binary64)))
cost-diff	192	(fma.f64 #s(literal 1/2 binary64) c_n (*.f64 #s(literal -1/2 binary64) c_p))
cost-diff	512	(fma.f64 (fma.f64 #s(literal 1/2 binary64) c_n (.f64 #s(literal -1/2 binary64) c_p)) t (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (*.f64 c_n #s(literal -1/2 binary64))) s))
cost-diff	0	#s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (.f64 c_n #s(literal -1/2 binary64))) s))
cost-diff	0	#s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (.f64 c_n #s(literal -1/2 binary64))) s)))
cost-diff	0	(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (.f64 c_n #s(literal -1/2 binary64))) s))))
cost-diff	192	(fma.f64 #s(literal 1/2 binary64) c_p (*.f64 c_n #s(literal -1/2 binary64)))
cost-diff	0	#s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64))
cost-diff	0	(pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) c_p)
cost-diff	0	(/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (* (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))) (/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))))

Rules

18 416×	`lower-fma.f32`
18 410×	`lower-fma.f64`
3 216×	`lower-+.f64`
3 216×	`lower-+.f32`
2 882×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	664
0	93	658
1	161	654
2	284	650
3	679	644
4	1263	644
5	2693	644
6	4722	644
7	6536	612
8	7745	612
0	8049	534

Stop Event

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

Calls

Call 1

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

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

localize544.0ms (1.1%)

Memory

11.2MiB live, 800.9MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(.f64 (fma.f64 #s(literal 1/2 binary64) c_p (.f64 c_n #s(literal -1/2 binary64))) s)
accuracy	0.03125	(fma.f64 (fma.f64 #s(literal 1/2 binary64) c_n (.f64 #s(literal -1/2 binary64) c_p)) t (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (*.f64 c_n #s(literal -1/2 binary64))) s))
accuracy	2.1528796126141	#s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) c_n (.f64 #s(literal -1/2 binary64) c_p)) t (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (*.f64 c_n #s(literal -1/2 binary64))) s))))
accuracy	2.772625399582417	#s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) c_n (.f64 #s(literal -1/2 binary64) c_p)) t (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (*.f64 c_n #s(literal -1/2 binary64))) s)))
accuracy	0	(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (.f64 c_n #s(literal -1/2 binary64))) s))))
accuracy	0.01171875	(.f64 (fma.f64 #s(literal 1/2 binary64) c_p (.f64 c_n #s(literal -1/2 binary64))) s)
accuracy	2.1528796126141	#s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (.f64 c_n #s(literal -1/2 binary64))) s)))
accuracy	24.173895123077177	#s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (.f64 c_n #s(literal -1/2 binary64))) s))
accuracy	0.7265459815985781	(pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) c_p)
accuracy	1.609388755254126	(/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))
accuracy	2.2670222917375695	#s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64))
accuracy	3.6124484414991906	#s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))

Samples

399.0ms	216×	1	valid
18.0ms	3×	4	exit
15.0ms	29×	0	valid
5.0ms	6×	1	exit
3.0ms	1×	3	valid
2.0ms	1×	2	valid

Compiler

Compiled 410 to 74 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 407.0ms

ival-pow: 83.0ms (20.4% of total)

ival-log1p: 72.0ms (17.7% of total)

ival-exp: 61.0ms (15% of total)

adjust: 46.0ms (11.3% of total)

ival-mult: 34.0ms (8.3% of total)

ival-add: 28.0ms (6.9% of total)

ival-log: 27.0ms (6.6% of total)

ival-sub: 26.0ms (6.4% of total)

ival-div: 21.0ms (5.2% of total)

ival-neg: 7.0ms (1.7% of total)

exact: 1.0ms (0.2% of total)

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

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

series493.0ms (1%)

Memory

42.2MiB live, 963.1MiB allocated

Counts

15 → 564

Calls

Call 1

Inputs
#s(alt #s(approx (/ (* (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))) (/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) (patch #s(approx (/ (* (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))) (/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) (patch (/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) c_p) (patch (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) c_p) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) (patch #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) c_p (.f64 c_n #s(literal -1/2 binary64))) (patch (fma.f64 #s(literal 1/2 binary64) c_p (.f64 c_n #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (.f64 c_n #s(literal -1/2 binary64))) s)))) (patch (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (.f64 c_n #s(literal -1/2 binary64))) s)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (.f64 c_n #s(literal -1/2 binary64))) s))) (patch #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (.f64 c_n #s(literal -1/2 binary64))) s))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (.f64 c_n #s(literal -1/2 binary64))) s)) (patch #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (.f64 c_n #s(literal -1/2 binary64))) s)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) c_n (.f64 #s(literal -1/2 binary64) c_p)) t (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (.f64 c_n #s(literal -1/2 binary64))) s)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) c_n (.f64 #s(literal -1/2 binary64) c_p)) t (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (.f64 c_n #s(literal -1/2 binary64))) s)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) c_n (.f64 #s(literal -1/2 binary64) c_p)) (patch (fma.f64 #s(literal 1/2 binary64) c_n (.f64 #s(literal -1/2 binary64) c_p)) #<representation binary64>) () ())
#s(alt (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) c_n (.f64 #s(literal -1/2 binary64) c_p)) t (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (.f64 c_n #s(literal -1/2 binary64))) s))))) (patch (exp.f64 #s(approx (+ ( c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) c_n (.f64 #s(literal -1/2 binary64) c_p)) t (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (*.f64 c_n #s(literal -1/2 binary64))) s))))) #<representation binary64>) () ())
#s(alt #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)) (patch #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (.f64 c_n #s(literal -1/2 binary64))) s) (patch (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (.f64 c_n #s(literal -1/2 binary64))) s) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) c_n (.f64 #s(literal -1/2 binary64) c_p)) t (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (.f64 c_n #s(literal -1/2 binary64))) s))) (patch #s(approx (+ ( (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) c_n (.f64 #s(literal -1/2 binary64) c_p)) t (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (*.f64 c_n #s(literal -1/2 binary64))) s))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) c_n (.f64 #s(literal -1/2 binary64) c_p)) t (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (.f64 c_n #s(literal -1/2 binary64))) s)))) (patch #s(approx (+ ( c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) c_n (.f64 #s(literal -1/2 binary64) c_p)) t (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (*.f64 c_n #s(literal -1/2 binary64))) s)))) #<representation binary64>) () ())

Outputs
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#s(alt (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))))) (taylor -inf t) (#s(alt #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) c_n (.f64 #s(literal -1/2 binary64) c_p)) t (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (.f64 c_n #s(literal -1/2 binary64))) s)))) (patch #s(approx (+ ( c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) c_n (.f64 #s(literal -1/2 binary64) c_p)) t (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (*.f64 c_n #s(literal -1/2 binary64))) s)))) #<representation binary64>) () ())) ())
#s(alt (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))))) (taylor -inf t) (#s(alt #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) c_n (.f64 #s(literal -1/2 binary64) c_p)) t (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (.f64 c_n #s(literal -1/2 binary64))) s)))) (patch #s(approx (+ ( c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) c_n (.f64 #s(literal -1/2 binary64) c_p)) t (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (*.f64 c_n #s(literal -1/2 binary64))) s)))) #<representation binary64>) () ())) ())
#s(alt (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))))) (taylor -inf t) (#s(alt #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) c_n (.f64 #s(literal -1/2 binary64) c_p)) t (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (.f64 c_n #s(literal -1/2 binary64))) s)))) (patch #s(approx (+ ( c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) c_n (.f64 #s(literal -1/2 binary64) c_p)) t (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (*.f64 c_n #s(literal -1/2 binary64))) s)))) #<representation binary64>) () ())) ())
#s(alt (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))))) (taylor -inf t) (#s(alt #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) c_n (.f64 #s(literal -1/2 binary64) c_p)) t (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (.f64 c_n #s(literal -1/2 binary64))) s)))) (patch #s(approx (+ ( c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) c_n (.f64 #s(literal -1/2 binary64) c_p)) t (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (*.f64 c_n #s(literal -1/2 binary64))) s)))) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
101.0ms	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))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ 1 (+ (exp (neg s)) 1)) (+ (* 1/2 c_p) (* c_n -1/2)) (exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* (+ (* 1/2 c_n) (* -1/2 c_p)) t) (* (+ (* 1/2 c_p) (* c_n -1/2)) s)) (+ (* 1/2 c_n) (* -1/2 c_p)) (exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (* (+ (* 1/2 c_p) (* c_n -1/2)) s) (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))))
72.0ms	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))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ 1 (+ (exp (neg s)) 1)) (+ (* 1/2 c_p) (* c_n -1/2)) (exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* (+ (* 1/2 c_n) (* -1/2 c_p)) t) (* (+ (* 1/2 c_p) (* c_n -1/2)) s)) (+ (* 1/2 c_n) (* -1/2 c_p)) (exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (* (+ (* 1/2 c_p) (* c_n -1/2)) s) (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))))
64.0ms	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))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ 1 (+ (exp (neg s)) 1)) (+ (* 1/2 c_p) (* c_n -1/2)) (exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* (+ (* 1/2 c_n) (* -1/2 c_p)) t) (* (+ (* 1/2 c_p) (* c_n -1/2)) s)) (+ (* 1/2 c_n) (* -1/2 c_p)) (exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (* (+ (* 1/2 c_p) (* c_n -1/2)) s) (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))))
52.0ms	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))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ 1 (+ (exp (neg s)) 1)) (+ (* 1/2 c_p) (* c_n -1/2)) (exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* (+ (* 1/2 c_n) (* -1/2 c_p)) t) (* (+ (* 1/2 c_p) (* c_n -1/2)) s)) (+ (* 1/2 c_n) (* -1/2 c_p)) (exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (* (+ (* 1/2 c_p) (* c_n -1/2)) s) (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))))
26.0ms	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))) (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (/ 1 (+ (exp (neg s)) 1)) (+ (* 1/2 c_p) (* c_n -1/2)) (exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* (+ (* 1/2 c_n) (* -1/2 c_p)) t) (* (+ (* 1/2 c_p) (* c_n -1/2)) s)) (+ (* 1/2 c_n) (* -1/2 c_p)) (exp (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1))))))) (pow (/ 1 (+ (exp (neg t)) 1)) c_p) (* (+ (* 1/2 c_p) (* c_n -1/2)) s) (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))))

simplify241.0ms (0.5%)

Memory

-14.8MiB live, 470.8MiB allocated

Algorithm

1×	egg-herbie

Rules

12 884×	`lower-fma.f64`
12 884×	`lower-fma.f32`
8 018×	`lower-*.f64`
8 018×	`lower-*.f32`
5 290×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	799	20673
1	2574	20039
0	8511	17122

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 564

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)))
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(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
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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_p) (pow.f64 #s(literal 1/2 binary64) c_n)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))))
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(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))
(fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p))
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p)))))
(fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p)))
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/8 c_n) (* -1/8 c_p))))))))
(fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 (.f64 s #s(literal -1/8 binary64)) (+.f64 c_n c_p) (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64)))) s (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p)))
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (+ (* 1/2 c_p) (* s (+ (* -1/8 c_n) (+ (* -1/8 c_p) (* (pow s 2) (+ (* 1/192 c_n) (* 1/192 c_p)))))))))))
(fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 s s) #s(literal 1/192 binary64)) (+.f64 c_n c_p) (.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n))) s (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64)))) s (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p)))
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))
(fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p))
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p)))))
(fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p)))
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p)))))
(fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p)))
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p)))))
(fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p)))
(* t (+ (* -1/2 c_p) (* 1/2 c_n)))
(.f64 (fma.f64 #s(literal -1/2 binary64) c_p (.f64 c_n #s(literal 1/2 binary64))) t)
(+ (* s (+ (* -1/2 c_n) (* 1/2 c_p))) (* t (+ (* -1/2 c_p) (* 1/2 c_n))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) t (.f64 s #s(literal 1/2 binary64))) c_p (.f64 (fma.f64 #s(literal -1/2 binary64) s (*.f64 t #s(literal 1/2 binary64))) c_n))
(+ (* s (+ (* -1/2 c_n) (* 1/2 c_p))) (* t (+ (* -1/2 c_p) (* 1/2 c_n))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) t (.f64 s #s(literal 1/2 binary64))) c_p (.f64 (fma.f64 #s(literal -1/2 binary64) s (*.f64 t #s(literal 1/2 binary64))) c_n))
(+ (* s (+ (* -1/2 c_n) (* 1/2 c_p))) (* t (+ (* -1/2 c_p) (* 1/2 c_n))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) t (.f64 s #s(literal 1/2 binary64))) c_p (.f64 (fma.f64 #s(literal -1/2 binary64) s (*.f64 t #s(literal 1/2 binary64))) c_n))
(exp (+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2)))))
(exp.f64 (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p)))
(+ (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)))))
(fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s) (exp.f64 (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p))) (exp.f64 (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p))))
(+ (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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(+ (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))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 s (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) #s(literal -1/8 binary64)) (+.f64 c_n c_p) (.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/6 binary64)))) (exp.f64 (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p))) (.f64 (fma.f64 #s(literal -1/8 binary64) (+.f64 c_p c_n) (.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (exp.f64 (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p))))) s (.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) (exp.f64 (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p))))) s (exp.f64 (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p))))
(* s (+ (* -1/2 c_n) (* 1/2 c_p)))
(.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s)
(* s (+ (* -1/2 c_n) (* 1/2 c_p)))
(.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s)
(* s (+ (* -1/2 c_n) (* 1/2 c_p)))
(.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s)
(* s (+ (* -1/2 c_n) (* 1/2 c_p)))
(.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s)
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))
(fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p))
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p)))))
(fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p)))
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p)))))
(fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p)))
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p)))))
(fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p)))
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))
(fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p))
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) (+ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p)))))
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(* 1/2 c_p)
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(+ (* -1/2 c_n) (* 1/2 c_p))
(fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64)))
(+ (* -1/2 c_n) (* 1/2 c_p))
(fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64)))
(+ (* -1/2 c_n) (* 1/2 c_p))
(fma.f64 #s(literal -1/2 binary64) c_n (*.f64 c_p #s(literal 1/2 binary64)))
(exp (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))))
(pow.f64 (exp.f64 c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))))
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(*.f64 #s(literal -1/2 binary64) c_n)
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(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))
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(* c_n (- (+ (log 1/2) (+ (* -1/2 s) (+ (* 1/2 (/ (* c_p s) c_n)) (/ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) c_n)))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
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(* c_n (- (+ (log 1/2) (+ (* -1/2 s) (+ (* 1/2 (/ (* c_p s) c_n)) (/ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) c_n)))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
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(* c_n (- (+ (log 1/2) (+ (* -1/2 s) (+ (* 1/2 (/ (* c_p s) c_n)) (/ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) c_n)))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
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(* c_n (+ (* -1/2 s) (* 1/2 t)))
(.f64 (fma.f64 #s(literal -1/2 binary64) s (.f64 t #s(literal 1/2 binary64))) c_n)
(* c_n (+ (* -1/2 s) (+ (* -1/2 (/ (* c_p t) c_n)) (+ (* 1/2 t) (* 1/2 (/ (* c_p s) c_n))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 s (/.f64 (.f64 t c_p) c_n)) (*.f64 #s(literal 1/2 binary64) (fma.f64 c_p (/.f64 s c_n) t))) c_n)
(* c_n (+ (* -1/2 s) (+ (* -1/2 (/ (* c_p t) c_n)) (+ (* 1/2 t) (* 1/2 (/ (* c_p s) c_n))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 s (/.f64 (.f64 t c_p) c_n)) (*.f64 #s(literal 1/2 binary64) (fma.f64 c_p (/.f64 s c_n) t))) c_n)
(* c_n (+ (* -1/2 s) (+ (* -1/2 (/ (* c_p t) c_n)) (+ (* 1/2 t) (* 1/2 (/ (* c_p s) c_n))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 s (/.f64 (.f64 t c_p) c_n)) (*.f64 #s(literal 1/2 binary64) (fma.f64 c_p (/.f64 s c_n) t))) c_n)
(* 1/2 c_n)
(*.f64 c_n #s(literal 1/2 binary64))
(* c_n (+ 1/2 (* -1/2 (/ c_p c_n))))
(*.f64 (fma.f64 (/.f64 c_p c_n) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) c_n)
(* c_n (+ 1/2 (* -1/2 (/ c_p c_n))))
(*.f64 (fma.f64 (/.f64 c_p c_n) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) c_n)
(* c_n (+ 1/2 (* -1/2 (/ c_p c_n))))
(*.f64 (fma.f64 (/.f64 c_p c_n) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) c_n)
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))
(exp.f64 (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))
(exp.f64 (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))
(exp.f64 (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)))
(exp (- (+ (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg s))))))) (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))) (* c_n (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))))
(exp.f64 (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)))
(* -1/2 (* c_n s))
(.f64 (.f64 s c_n) #s(literal -1/2 binary64))
(* c_n (+ (* -1/2 s) (* 1/2 (/ (* c_p s) c_n))))
(.f64 (fma.f64 (/.f64 (.f64 s c_p) c_n) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) s)) c_n)
(* c_n (+ (* -1/2 s) (* 1/2 (/ (* c_p s) c_n))))
(.f64 (fma.f64 (/.f64 (.f64 s c_p) c_n) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) s)) c_n)
(* c_n (+ (* -1/2 s) (* 1/2 (/ (* c_p s) c_n))))
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(* c_n (- (+ (log 1/2) (* -1/2 s)) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
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(* c_n (- (+ (log 1/2) (+ (* -1/2 s) (+ (* 1/2 (/ (* c_p s) c_n)) (/ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) c_n)))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
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(* c_n (- (+ (log 1/2) (+ (* -1/2 s) (+ (* 1/2 (/ (* c_p s) c_n)) (/ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) c_n)))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (.f64 s c_p) c_n) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) s)) (fma.f64 c_p (/.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_n) (log.f64 #s(literal 1/2 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n)
(* c_n (- (+ (log 1/2) (+ (* -1/2 s) (+ (* 1/2 (/ (* c_p s) c_n)) (/ (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))) c_n)))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (.f64 s c_p) c_n) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) s)) (fma.f64 c_p (/.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_n) (log.f64 #s(literal 1/2 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n)
(* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n)
(* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (/ (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))) c_n)) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(*.f64 (fma.f64 c_p (/.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_n) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) c_n)
(* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (/ (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))) c_n)) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(*.f64 (fma.f64 c_p (/.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_n) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) c_n)
(* c_n (- (+ (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (/ (* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s)))))) c_n)) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))
(*.f64 (fma.f64 c_p (/.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_n) (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) 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 t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 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)))
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 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)))
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 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)))
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)))
(* -1/2 c_n)
(*.f64 #s(literal -1/2 binary64) c_n)
(* -1 (* c_n (+ 1/2 (* -1/2 (/ c_p c_n)))))
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(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 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)))
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 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)))
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 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)))
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)))
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 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))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))
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(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p)
(* 1/2 c_p)
(*.f64 c_p #s(literal 1/2 binary64))
(* c_p (+ 1/2 (* -1/2 (/ c_n c_p))))
(*.f64 (fma.f64 (/.f64 c_n c_p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) c_p)
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(*.f64 (fma.f64 (/.f64 c_n c_p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) c_p)
(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 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)))
(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 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)))
(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 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)))
(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 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)))
(* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))
(*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)
(* c_p (- (+ (log (+ 1 (exp (neg t)))) (/ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) c_p)) (log (+ 1 (exp (neg s))))))
(*.f64 (fma.f64 c_n (/.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))) c_p)
(* c_p (- (+ (log (+ 1 (exp (neg t)))) (/ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) c_p)) (log (+ 1 (exp (neg s))))))
(*.f64 (fma.f64 c_n (/.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))) c_p)
(* c_p (- (+ (log (+ 1 (exp (neg t)))) (/ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) c_p)) (log (+ 1 (exp (neg s))))))
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(* c_p (- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (log 2)))
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(* c_p (- (+ (log (+ 1 (exp (neg t)))) (+ (* -1/2 (/ (* c_n s) c_p)) (+ (* 1/2 s) (/ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) c_p)))) (log 2)))
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(* c_p (- (+ (log (+ 1 (exp (neg t)))) (+ (* -1/2 (/ (* c_n s) c_p)) (+ (* 1/2 s) (/ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) c_p)))) (log 2)))
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(* c_p (+ (* -1/2 t) (* 1/2 s)))
(.f64 (fma.f64 #s(literal -1/2 binary64) t (.f64 s #s(literal 1/2 binary64))) c_p)
(* c_p (+ (* -1/2 t) (+ (* -1/2 (/ (* c_n s) c_p)) (+ (* 1/2 s) (* 1/2 (/ (* c_n t) c_p))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 t (/.f64 (.f64 s c_n) c_p)) (*.f64 #s(literal 1/2 binary64) (fma.f64 c_n (/.f64 t c_p) s))) c_p)
(* c_p (+ (* -1/2 t) (+ (* -1/2 (/ (* c_n s) c_p)) (+ (* 1/2 s) (* 1/2 (/ (* c_n t) c_p))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 t (/.f64 (.f64 s c_n) c_p)) (*.f64 #s(literal 1/2 binary64) (fma.f64 c_n (/.f64 t c_p) s))) c_p)
(* c_p (+ (* -1/2 t) (+ (* -1/2 (/ (* c_n s) c_p)) (+ (* 1/2 s) (* 1/2 (/ (* c_n t) c_p))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 t (/.f64 (.f64 s c_n) c_p)) (*.f64 #s(literal 1/2 binary64) (fma.f64 c_n (/.f64 t c_p) s))) c_p)
(* -1/2 c_p)
(*.f64 #s(literal -1/2 binary64) c_p)
(* c_p (- (* 1/2 (/ c_n c_p)) 1/2))
(*.f64 (fma.f64 (/.f64 c_n c_p) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) c_p)
(* c_p (- (* 1/2 (/ c_n c_p)) 1/2))
(*.f64 (fma.f64 (/.f64 c_n c_p) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) c_p)
(* c_p (- (* 1/2 (/ c_n c_p)) 1/2))
(*.f64 (fma.f64 (/.f64 c_n c_p) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) c_p)
(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 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)))
(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 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)))
(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 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)))
(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 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)))
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)
(* 1/2 (* c_p s))
(.f64 (.f64 s c_p) #s(literal 1/2 binary64))
(* c_p (+ (* -1/2 (/ (* c_n s) c_p)) (* 1/2 s)))
(.f64 (fma.f64 (/.f64 (.f64 s c_n) c_p) #s(literal -1/2 binary64) (*.f64 s #s(literal 1/2 binary64))) c_p)
(* c_p (+ (* -1/2 (/ (* c_n s) c_p)) (* 1/2 s)))
(.f64 (fma.f64 (/.f64 (.f64 s c_n) c_p) #s(literal -1/2 binary64) (*.f64 s #s(literal 1/2 binary64))) c_p)
(* c_p (+ (* -1/2 (/ (* c_n s) c_p)) (* 1/2 s)))
(.f64 (fma.f64 (/.f64 (.f64 s c_n) c_p) #s(literal -1/2 binary64) (*.f64 s #s(literal 1/2 binary64))) c_p)
(* c_p (- (+ (log (+ 1 (exp (neg t)))) (* 1/2 s)) (log 2)))
(*.f64 (fma.f64 s #s(literal 1/2 binary64) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))) c_p)
(* c_p (- (+ (log (+ 1 (exp (neg t)))) (+ (* -1/2 (/ (* c_n s) c_p)) (+ (* 1/2 s) (/ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) c_p)))) (log 2)))
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(* c_p (- (+ (log (+ 1 (exp (neg t)))) (+ (* -1/2 (/ (* c_n s) c_p)) (+ (* 1/2 s) (/ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) c_p)))) (log 2)))
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(* c_p (- (+ (log (+ 1 (exp (neg t)))) (+ (* -1/2 (/ (* c_n s) c_p)) (+ (* 1/2 s) (/ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) c_p)))) (log 2)))
(.f64 (+.f64 (fma.f64 c_n (/.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_p) (fma.f64 (/.f64 (.f64 s c_n) c_p) #s(literal -1/2 binary64) (*.f64 s #s(literal 1/2 binary64)))) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))) c_p)
(* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))
(*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)
(* c_p (- (+ (log (+ 1 (exp (neg t)))) (/ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) c_p)) (log (+ 1 (exp (neg s))))))
(*.f64 (fma.f64 c_n (/.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))) c_p)
(* c_p (- (+ (log (+ 1 (exp (neg t)))) (/ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) c_p)) (log (+ 1 (exp (neg s))))))
(*.f64 (fma.f64 c_n (/.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s))))) c_p)
(* c_p (- (+ (log (+ 1 (exp (neg t)))) (/ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (neg t)))))))) c_p)) (log (+ 1 (exp (neg s))))))
(*.f64 (fma.f64 c_n (/.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 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 t))))) c_n) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)))
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 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)))
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 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)))
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 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)))
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (exp.f64 c_n) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)))
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))
(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p))
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p)
(pow (/ 1 (+ 1 (exp (neg s)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p)
(* 1/2 c_p)
(*.f64 c_p #s(literal 1/2 binary64))
(* -1 (* c_p (- (* 1/2 (/ c_n c_p)) 1/2)))
(*.f64 (neg.f64 c_p) (fma.f64 (/.f64 c_n c_p) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(* -1 (* c_p (- (* 1/2 (/ c_n c_p)) 1/2)))
(*.f64 (neg.f64 c_p) (fma.f64 (/.f64 c_n c_p) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(* -1 (* c_p (- (* 1/2 (/ c_n c_p)) 1/2)))
(*.f64 (neg.f64 c_p) (fma.f64 (/.f64 c_n c_p) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(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 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)))
(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 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)))
(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 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)))
(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 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)))
(* c_p (- (log (+ 1 (exp (neg t)))) (log (+ 1 (exp (neg s))))))
(*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) 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)))))
(*.f64 (neg.f64 c_p) (neg.f64 (fma.f64 c_n (/.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))))))
(* -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)))))
(*.f64 (neg.f64 c_p) (neg.f64 (fma.f64 c_n (/.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))))))
(* -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)))))
(*.f64 (neg.f64 c_p) (neg.f64 (fma.f64 c_n (/.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_p) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))))))
(* -1 (* c_p (+ (* -1 (- (log (+ 1 (exp (neg t)))) (log 2))) (* -1/2 s))))
(*.f64 (neg.f64 c_p) (fma.f64 #s(literal -1/2 binary64) s (neg.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))))))
(* -1 (* c_p (+ (* -1 (- (log (+ 1 (exp (neg t)))) (log 2))) (+ (* -1 (/ (+ (* -1/2 (* c_n s)) (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) c_p)) (* -1/2 s)))))
(.f64 (neg.f64 c_p) (-.f64 (fma.f64 #s(literal -1/2 binary64) s (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (.f64 (*.f64 s c_n) #s(literal -1/2 binary64))) (neg.f64 c_p))) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))))
(* -1 (* c_p (+ (* -1 (- (log (+ 1 (exp (neg t)))) (log 2))) (+ (* -1 (/ (+ (* -1/2 (* c_n s)) (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) c_p)) (* -1/2 s)))))
(.f64 (neg.f64 c_p) (-.f64 (fma.f64 #s(literal -1/2 binary64) s (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (.f64 (*.f64 s c_n) #s(literal -1/2 binary64))) (neg.f64 c_p))) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))))
(* -1 (* c_p (+ (* -1 (- (log (+ 1 (exp (neg t)))) (log 2))) (+ (* -1 (/ (+ (* -1/2 (* c_n s)) (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) c_p)) (* -1/2 s)))))
(.f64 (neg.f64 c_p) (-.f64 (fma.f64 #s(literal -1/2 binary64) s (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (.f64 (*.f64 s c_n) #s(literal -1/2 binary64))) (neg.f64 c_p))) (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64)))))
(* -1 (* c_p (+ (* -1/2 s) (* 1/2 t))))
(.f64 (neg.f64 c_p) (fma.f64 #s(literal -1/2 binary64) s (.f64 t #s(literal 1/2 binary64))))
(* -1 (* c_p (+ (* -1 (/ (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t))) c_p)) (+ (* -1/2 s) (* 1/2 t)))))
(.f64 (neg.f64 c_p) (-.f64 (fma.f64 #s(literal -1/2 binary64) s (.f64 t #s(literal 1/2 binary64))) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) s (.f64 t #s(literal 1/2 binary64))) c_n) c_p)))
(* -1 (* c_p (+ (* -1 (/ (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t))) c_p)) (+ (* -1/2 s) (* 1/2 t)))))
(.f64 (neg.f64 c_p) (-.f64 (fma.f64 #s(literal -1/2 binary64) s (.f64 t #s(literal 1/2 binary64))) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) s (.f64 t #s(literal 1/2 binary64))) c_n) c_p)))
(* -1 (* c_p (+ (* -1 (/ (+ (* -1/2 (* c_n s)) (* 1/2 (* c_n t))) c_p)) (+ (* -1/2 s) (* 1/2 t)))))
(.f64 (neg.f64 c_p) (-.f64 (fma.f64 #s(literal -1/2 binary64) s (.f64 t #s(literal 1/2 binary64))) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) s (.f64 t #s(literal 1/2 binary64))) c_n) c_p)))
(* -1/2 c_p)
(*.f64 #s(literal -1/2 binary64) c_p)
(* -1 (* c_p (+ 1/2 (* -1/2 (/ c_n c_p)))))
(*.f64 (neg.f64 c_p) (fma.f64 (/.f64 c_n c_p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(* -1 (* c_p (+ 1/2 (* -1/2 (/ c_n c_p)))))
(*.f64 (neg.f64 c_p) (fma.f64 (/.f64 c_n c_p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(* -1 (* c_p (+ 1/2 (* -1/2 (/ c_n c_p)))))
(*.f64 (neg.f64 c_p) (fma.f64 (/.f64 c_n c_p) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(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 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)))
(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 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)))
(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 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)))
(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 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)))
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)
(pow (/ 1 (+ 1 (exp (neg t)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)
(* 1/2 (* c_p s))
(.f64 (.f64 s c_p) #s(literal 1/2 binary64))
(* -1 (* c_p (+ (* -1/2 s) (* 1/2 (/ (* c_n s) c_p)))))
(.f64 (neg.f64 c_p) (fma.f64 (/.f64 (.f64 s c_n) c_p) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) s)))
(* -1 (* c_p (+ (* -1/2 s) (* 1/2 (/ (* c_n s) c_p)))))
(.f64 (neg.f64 c_p) (fma.f64 (/.f64 (.f64 s c_n) c_p) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) s)))
(* -1 (* c_p (+ (* -1/2 s) (* 1/2 (/ (* c_n s) c_p)))))
(.f64 (neg.f64 c_p) (fma.f64 (/.f64 (.f64 s c_n) c_p) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) s)))
(* -1 (* c_p (+ (* -1 (- (log (+ 1 (exp (neg t)))) (log 2))) (* -1/2 s))))
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(* -1 (* c_p (+ (* -1 (- (log (+ 1 (exp (neg t)))) (log 2))) (+ (* -1 (/ (+ (* -1/2 (* c_n s)) (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (neg t))))))))) c_p)) (* -1/2 s)))))
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(/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow 1/2 c_p))
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(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (* c_p (- (log 2) (log (+ 1 (exp (neg s))))))))
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(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (* 1/2 c_n)))))
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log.f64 #s(literal 1/2 binary64))) c_n (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p (.f64 (fma.f64 #s(literal -1/2 binary64) c_p (.f64 c_n #s(literal 1/2 binary64))) t)))
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log 1/2))) (+ (* c_p (- (log 2) (log (+ 1 (exp (neg s)))))) (* t (+ (* -1/2 c_p) (+ (* 1/2 c_n) (* t (+ (* 1/8 c_n) (* 1/8 c_p))))))))
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(* s (+ (* -1/2 c_n) (* 1/2 c_p)))
(.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s)
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(fma.f64 (fma.f64 #s(literal -1/2 binary64) t (.f64 s #s(literal 1/2 binary64))) c_p (.f64 (fma.f64 #s(literal -1/2 binary64) s (*.f64 t #s(literal 1/2 binary64))) c_n))
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(fma.f64 (fma.f64 (.f64 t #s(literal 1/8 binary64)) (+.f64 c_n c_p) (fma.f64 #s(literal -1/2 binary64) c_p (.f64 c_n #s(literal 1/2 binary64)))) t (.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s))
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(* s (+ (* -1/2 c_n) (* 1/2 c_p)))
(.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s)
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(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s)))))))
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (+ (* c_p (- (log (+ 1 (exp (* -1 t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p)))))
(fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p)))
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (+ (* c_p (- (log (+ 1 (exp (* -1 t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p)))))
(fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p)))
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (+ (* c_p (- (log (+ 1 (exp (* -1 t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p)))))
(fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p)))
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (+ (* c_p (- (log (+ 1 (exp (* -1 t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p)))))
(fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p)))
(* t (+ (* -1/2 c_p) (* 1/2 c_n)))
(.f64 (fma.f64 #s(literal -1/2 binary64) c_p (.f64 c_n #s(literal 1/2 binary64))) t)
(* -1 (* t (+ (* -1 (+ (* -1/2 c_p) (* 1/2 c_n))) (* -1 (/ (* s (+ (* -1/2 c_n) (* 1/2 c_p))) t)))))
(.f64 (fma.f64 c_p #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) c_n (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 c_n #s(literal 1/2 binary64))) s) t))) (neg.f64 t))
(* -1 (* t (+ (* -1 (+ (* -1/2 c_p) (* 1/2 c_n))) (* -1 (/ (* s (+ (* -1/2 c_n) (* 1/2 c_p))) t)))))
(.f64 (fma.f64 c_p #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) c_n (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 c_n #s(literal 1/2 binary64))) s) t))) (neg.f64 t))
(* -1 (* t (+ (* -1 (+ (* -1/2 c_p) (* 1/2 c_n))) (* -1 (/ (* s (+ (* -1/2 c_n) (* 1/2 c_p))) t)))))
(.f64 (fma.f64 c_p #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) c_n (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) c_p (*.f64 c_n #s(literal 1/2 binary64))) s) t))) (neg.f64 t))
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))))))
(exp.f64 (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)))
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))))))
(exp.f64 (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)))
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))))))
(exp.f64 (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)))
(exp (+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s))))))))
(exp.f64 (fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p)))
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)
(pow (/ 1 (+ 1 (exp (* -1 t)))) c_p)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (+ (* c_p (- (log (+ 1 (exp (* -1 t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p)))))
(fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p)))
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (+ (* c_p (- (log (+ 1 (exp (* -1 t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p)))))
(fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p)))
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (+ (* c_p (- (log (+ 1 (exp (* -1 t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p)))))
(fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p)))
(+ (* c_n (- (log 1/2) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (+ (* c_p (- (log (+ 1 (exp (* -1 t)))) (log 2))) (* s (+ (* -1/2 c_n) (* 1/2 c_p)))))
(fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 binary64))) c_p)))
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s)))))))
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s)))))))
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s)))))))
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))
(+ (* c_n (- (log (- 1 (/ 1 (+ 1 (exp (neg s)))))) (log (- 1 (/ 1 (+ 1 (exp (* -1 t)))))))) (* c_p (- (log (+ 1 (exp (* -1 t)))) (log (+ 1 (exp (neg s)))))))
(fma.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (*.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log1p.f64 (exp.f64 (neg.f64 s)))) c_p))

rewrite229.0ms (0.4%)

Memory

3.3MiB live, 236.0MiB allocated

Rules

3 820×	`lower-*.f32`
3 814×	`lower-*.f64`
3 504×	`lower-fma.f32`
3 498×	`lower-fma.f64`
3 308×	`lower-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	627
0	93	605
1	510	601
2	4091	601
0	8540	531

Stop Event

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

Counts

15 → 130

Calls

Call 1

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

Outputs
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eval170.0ms (0.3%)

Memory: 3.8MiB live, 158.6MiB allocated
Compiler: Compiled 24 688 to 1 772 computations (92.8% saved)

prune90.0ms (0.2%)

Memory

-60.4MiB live, 65.2MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	797	3	800
Fresh	0	0	0
Picked	3	0	3
Done	0	1	1
Total	800	4	804

Accuracy

100.0%

Counts

804 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.2%	(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (.f64 #s(approx (+ ( 1/2 c_p) (* c_n -1/2)) (*.f64 c_p #s(literal 1/2 binary64))) s))))
	97.3%	(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (.f64 #s(approx (+ ( 1/2 c_p) (* c_n -1/2)) (*.f64 #s(literal -1/2 binary64) c_n)) s))))
	96.8%	(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) #s(approx (+ (* (+ (* 1/2 c_n) (* -1/2 c_p)) t) (* (+ (* 1/2 c_p) (* c_n -1/2)) s)) (.f64 (fma.f64 #s(literal -1/2 binary64) c_p (.f64 c_n #s(literal 1/2 binary64))) t)))))
✓	95.3%	#s(approx (/ (* (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))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64)))

Compiler

Compiled 456 to 187 computations (59% saved)

regimes99.0ms (0.2%)

Memory

24.7MiB live, 102.9MiB allocated

Counts

21 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (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))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64)))
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (.f64 #s(approx (+ ( 1/2 c_p) (* c_n -1/2)) (*.f64 #s(literal -1/2 binary64) c_n)) s))))
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (.f64 #s(approx (+ ( 1/2 c_p) (* c_n -1/2)) (*.f64 c_p #s(literal 1/2 binary64))) s))))
#s(approx (/ (* (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))) (/.f64 (pow.f64 #s(approx (/ 1 (+ (exp (neg s)) 1)) #s(literal 1/2 binary64)) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))))
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) #s(approx (+ (* (+ (* 1/2 c_n) (* -1/2 c_p)) t) (* (+ (* 1/2 c_p) (* c_n -1/2)) s)) (.f64 (fma.f64 #s(literal -1/2 binary64) c_p (.f64 c_n #s(literal 1/2 binary64))) t)))))
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (.f64 c_n #s(literal -1/2 binary64))) s))))
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) c_n (.f64 #s(literal -1/2 binary64) c_p)) t (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (*.f64 c_n #s(literal -1/2 binary64))) s)))))
#s(approx (/ (* (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))) (/.f64 #s(approx (pow (/ 1 (+ (exp (neg s)) 1)) c_p) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)))
#s(approx (/ (* (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))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) #s(approx (pow (/ 1 (+ (exp (neg t)) 1)) c_p) #s(literal 1 binary64))))
#s(approx (/ (* (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))) (/.f64 (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg s)) 1))) #s(literal 1/2 binary64)) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)))
#s(approx (/ (* (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))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 #s(approx (- 1 (/ 1 (+ (exp (neg t)) 1))) #s(literal 1/2 binary64)) c_n)))
#s(approx (/ (* (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))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 s #s(literal 1/2 binary64) #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)))
#s(approx (/ (* (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))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (exp (neg s)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) s #s(literal 1/2 binary64)) s #s(literal -1 binary64)) s #s(literal 2 binary64)))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)))
#s(approx (/ (* (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))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64))) c_p) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))) c_p)))
#s(approx (/ (* (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))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) c_n) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64)))) c_n)))
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (*.f64 (-.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n)))
(/.f64 #s(approx (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 s)) #s(literal 1 binary64)))) 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 #s(approx (pow (/ 1 (+ 1 (exp (neg t)))) c_p) #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)))
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) (fma.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log1p.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 t)) #s(literal 1 binary64))))) c_n (fma.f64 (fma.f64 #s(literal -1/2 binary64) c_n (.f64 c_p #s(literal 1/2 binary64))) s (.f64 c_p (-.f64 (log1p.f64 (exp.f64 (neg.f64 t))) (log.f64 #s(literal 2 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 (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 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 s))) #s(literal -1 binary64))) (log1p.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 t))) #s(literal -1 binary64)))))))

Outputs

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

Calls

13 calls:

21.0ms	t
18.0ms	(exp.f64 (neg.f64 s))
6.0ms	c_p
6.0ms	c_n
6.0ms	(neg.f64 t)

Results

Accuracy	Segments	Branch
99.6%	1	`c_p`
99.6%	1	`c_n`
99.6%	1	`t`
99.6%	1	`s`
99.6%	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)))`
99.6%	1	`(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))`
99.6%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))`
99.6%	1	`(exp.f64 (neg.f64 s))`
99.6%	1	`(neg.f64 s)`
99.6%	1	`(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))`
99.6%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))`
99.6%	1	`(exp.f64 (neg.f64 t))`
99.6%	1	`(neg.f64 t)`

Compiler

Compiled 81 to 94 computations (-16% saved)

regimes42.0ms (0.1%)

Memory

12.0MiB live, 52.4MiB allocated

Counts

6 → 1

Calls

Call 1

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

Outputs

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

Calls

13 calls:

14.0ms	(neg.f64 s)
3.0ms	(neg.f64 t)
3.0ms	c_n
2.0ms	t
2.0ms	s

Results

Accuracy	Segments	Branch
98.9%	1	`c_p`
98.9%	1	`c_n`
98.9%	1	`t`
98.9%	1	`s`
98.9%	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)))`
98.9%	1	`(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))`
98.9%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))`
98.9%	1	`(exp.f64 (neg.f64 s))`
98.9%	1	`(neg.f64 s)`
98.9%	1	`(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))`
98.9%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))`
98.9%	1	`(exp.f64 (neg.f64 t))`
98.9%	1	`(neg.f64 t)`

Compiler

Compiled 81 to 94 computations (-16% saved)

regimes48.0ms (0.1%)

Memory

-29.1MiB live, 49.6MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

13 calls:

13.0ms	c_p
12.0ms	(neg.f64 t)
2.0ms	s
2.0ms	(neg.f64 s)
2.0ms	c_n

Results

Accuracy	Segments	Branch
97.3%	1	`c_p`
99.2%	2	`c_n`
97.3%	1	`t`
97.3%	1	`s`
97.3%	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)))`
97.3%	1	`(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))`
97.3%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))`
97.3%	1	`(exp.f64 (neg.f64 s))`
97.3%	1	`(neg.f64 s)`
97.3%	1	`(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))`
97.3%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))`
97.3%	1	`(exp.f64 (neg.f64 t))`
97.3%	1	`(neg.f64 t)`

Compiler

Compiled 81 to 94 computations (-16% saved)

regimes7.0ms (0%)

Memory

18.2MiB live, 18.2MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (/ (* (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))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64)))

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

Outputs

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
97.3%	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)))`
97.3%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))`
97.3%	1	`(exp.f64 (neg.f64 s))`
97.3%	1	`(neg.f64 t)`
97.3%	1	`c_n`

Compiler

Compiled 54 to 45 computations (16.7% saved)

regimes44.0ms (0.1%)

Memory

-6.7MiB live, 32.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

#s(approx (/ (* (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))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64)))

Outputs

#s(approx (/ (* (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))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64)))

Calls

13 calls:

30.0ms	(neg.f64 s)
1.0ms	c_p
1.0ms	(neg.f64 t)
1.0ms	s
1.0ms	t

Results

Accuracy	Segments	Branch
95.3%	1	`c_n`
95.3%	1	`(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))`
95.3%	1	`c_p`
95.3%	1	`t`
95.3%	1	`s`
95.3%	1	`(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s))))`
95.3%	1	`(neg.f64 s)`
95.3%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))`
95.3%	1	`(exp.f64 (neg.f64 t))`
95.3%	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)))`
95.3%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 s)))`
95.3%	1	`(exp.f64 (neg.f64 s))`
95.3%	1	`(neg.f64 t)`

Compiler

Compiled 81 to 94 computations (-16% saved)

bsearch4.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
3.0ms	5.048895022424863e-45	1.6031524997424918e-44

Samples

2.0ms

16×

valid

Compiler

Compiled 64 to 53 computations (17.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-pow: 1.0ms (56.6% of total)

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

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

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

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

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

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

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

exact: 0.0ms (0% of total)

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

simplify49.0ms (0.1%)

Memory

2.4MiB live, 42.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`-commutative-binary64-.f64`
2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	537
1	106	537

Stop Event

1×

saturated

Calls

Call 1

Inputs
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) c_n (.f64 #s(literal -1/2 binary64) c_p)) t (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (*.f64 c_n #s(literal -1/2 binary64))) s)))))
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (.f64 c_n #s(literal -1/2 binary64))) s))))
(if (<=.f64 c_n #s(literal 8034690221294951/803469022129495137770981046170581301261101496891396417650688 binary64)) (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (.f64 #s(approx (+ ( 1/2 c_p) (* c_n -1/2)) (.f64 c_p #s(literal 1/2 binary64))) s)))) (exp.f64 #s(approx (+ ( c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (.f64 #s(approx (+ ( 1/2 c_p) (* c_n -1/2)) (*.f64 #s(literal -1/2 binary64) c_n)) s)))))
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (.f64 #s(approx (+ ( 1/2 c_p) (* c_n -1/2)) (*.f64 #s(literal -1/2 binary64) c_n)) s))))
#s(approx (/ (* (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))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64)))

Outputs
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) c_n (.f64 #s(literal -1/2 binary64) c_p)) t (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (*.f64 c_n #s(literal -1/2 binary64))) s)))))
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) c_n (.f64 #s(literal -1/2 binary64) c_p)) t (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (*.f64 #s(literal -1/2 binary64) c_n)) s)))))
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (.f64 c_n #s(literal -1/2 binary64))) s))))
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (.f64 (fma.f64 #s(literal 1/2 binary64) c_p (.f64 #s(literal -1/2 binary64) c_n)) s))))
(if (<=.f64 c_n #s(literal 8034690221294951/803469022129495137770981046170581301261101496891396417650688 binary64)) (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (.f64 #s(approx (+ ( 1/2 c_p) (* c_n -1/2)) (.f64 c_p #s(literal 1/2 binary64))) s)))) (exp.f64 #s(approx (+ ( c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (.f64 #s(approx (+ ( 1/2 c_p) (* c_n -1/2)) (*.f64 #s(literal -1/2 binary64) c_n)) s)))))
(if (<=.f64 c_n #s(literal 8034690221294951/803469022129495137770981046170581301261101496891396417650688 binary64)) (exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (.f64 #s(approx (+ ( 1/2 c_p) (* c_n -1/2)) (.f64 #s(literal 1/2 binary64) c_p)) s)))) (exp.f64 #s(approx (+ ( c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (.f64 #s(approx (+ ( 1/2 c_p) (* c_n -1/2)) (*.f64 #s(literal -1/2 binary64) c_n)) s)))))
(exp.f64 #s(approx (+ (* c_p (- (neg (log (+ 1 (exp (neg s))))) (neg (log (+ 1 (exp (neg t))))))) (* c_n (- (log (+ 1 (pow (- -1 (exp (neg s))) -1))) (log (+ 1 (pow (- -1 (exp (neg t))) -1)))))) #s(approx (+ (* (- (log 1/2) (log (+ 1 (/ -1 (+ (exp (neg t)) 1))))) c_n) (+ (* (+ (* -1/2 c_n) (* c_p 1/2)) s) (* c_p (- (log (+ 1 (exp (neg t)))) (log 2))))) (.f64 #s(approx (+ ( 1/2 c_p) (* c_n -1/2)) (*.f64 #s(literal -1/2 binary64) c_n)) s))))
#s(approx (/ (* (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))) #s(approx (/ (pow (/ 1 (+ (exp (neg s)) 1)) c_p) (pow (/ 1 (+ (exp (neg t)) 1)) c_p)) #s(literal 1 binary64)))

soundness822.0ms (1.6%)

Memory

-1.1MiB live, 671.2MiB allocated

Rules

13 604×	`lower-fma.f64`
13 604×	`lower-fma.f32`
13 568×	`lower-fma.f64`
13 568×	`lower-fma.f32`
12 884×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	782	28399
1	2363	26223
2	7797	26207
0	8110	24431
0	920	33944
1	2864	31789
0	9088	29129
0	22	103
0	39	103
1	151	103
2	1022	98
0	8612	86
0	413	6854
1	1288	6276
2	4718	5743
0	8730	5438
0	799	20673
1	2574	20039
0	8511	17122

Stop Event

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

Compiler

Compiled 85 to 109 computations (-28.2% saved)

preprocess70.0ms (0.1%)

Memory: 19.8MiB live, 97.9MiB allocated
Compiler: Compiled 264 to 154 computations (41.7% 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	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

start0.0ms (0%)

analyze390.0ms (0.8%)

sample41.3s (80%)

explain424.0ms (0.8%)

preprocess131.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify15.0ms (0%)

localize141.0ms (0.3%)

series562.0ms (1.1%)

simplify231.0ms (0.4%)

rewrite151.0ms (0.3%)

eval116.0ms (0.2%)

prune41.0ms (0.1%)

simplify188.0ms (0.4%)

localize631.0ms (1.2%)

series657.0ms (1.3%)

simplify313.0ms (0.6%)

rewrite176.0ms (0.3%)

eval334.0ms (0.6%)

prune72.0ms (0.1%)

simplify177.0ms (0.3%)

localize663.0ms (1.3%)

series542.0ms (1.1%)

simplify403.0ms (0.8%)

rewrite182.0ms (0.4%)

eval247.0ms (0.5%)

prune23.0ms (0%)

simplify523.0ms (1%)

localize544.0ms (1.1%)

series493.0ms (1%)

simplify241.0ms (0.5%)

rewrite229.0ms (0.4%)

eval170.0ms (0.3%)

prune90.0ms (0.2%)

regimes99.0ms (0.2%)

regimes42.0ms (0.1%)

regimes48.0ms (0.1%)

regimes7.0ms (0%)

regimes44.0ms (0.1%)

bsearch4.0ms (0%)

simplify49.0ms (0.1%)

soundness822.0ms (1.6%)

preprocess70.0ms (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