Metrics for VandenBroeck and Keller, Equation (20)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze210.0ms (1.3%)

Memory

14.5MiB live, 251.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	75%	0%	0%	25%	0%	3
0%	0%	62.5%	0%	0%	37.5%	0%	4
0%	0%	56.2%	0%	0%	43.7%	0%	5
0%	0%	53.1%	0%	0%	46.9%	0%	6
3.1%	1.6%	48.4%	0%	0%	50%	0%	7
4.8%	2.3%	46.1%	0%	0%	51.5%	0%	8
5.6%	2.7%	45.7%	0%	0%	51.5%	0%	9
6.5%	3.1%	45.1%	0%	0%	51.7%	0%	10
6.9%	3.3%	44.8%	0%	0%	51.8%	0%	11
6.9%	3.3%	44.8%	0%	0%	51.9%	0%	12

Compiler

Compiled 39 to 18 computations (53.8% saved)

sample5.8s (35.7%)

Memory

150.8MiB live, 5 862.4MiB allocated

Samples

2.4s	7 207×	1	invalid
2.2s	7 589×	1	valid
161.0ms	164×	2	valid
52.0ms	503×	0	valid
1.0ms	8×	0	invalid
1.0ms	6×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 4.2s

ival-exp: 1.4s (34.3% of total)

ival-div: 612.0ms (14.5% of total)

ival-pi: 466.0ms (11% of total)

ival-mult: 403.0ms (9.6% of total)

ival-log: 369.0ms (8.7% of total)

adjust: 332.0ms (7.9% of total)

ival-neg: 256.0ms (6.1% of total)

ival-add: 173.0ms (4.1% of total)

ival-sub: 130.0ms (3.1% of total)

exact: 15.0ms (0.4% of total)

ival-true: 11.0ms (0.3% of total)

ival-assert: 5.0ms (0.1% of total)

Bogosity

explain468.0ms (2.9%)

Memory

-64.2MiB live, 618.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
241	0	-	0	-	`(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))`
9	0	-	0	-	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
5	9	(770943.2153714226)	1	(3.0611472068254253)	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
1	0	-	1	(55.52378199738148)	`(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))`
1	0	-	1	(55.52378199738148)	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))`
0	0	-	0	-	`#s(literal 4 binary64)`
0	0	-	0	-	`(+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))`
0	0	-	0	-	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
0	0	-	0	-	`f`
0	0	-	0	-	`(/.f64 (PI.f64) #s(literal 4 binary64))`
0	0	-	0	-	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
0	0	-	0	-	`(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`
0	0	-	0	-	`(PI.f64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))`	cancellation	241	0
`log.f64`	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`	sensitivity	13	1
`/.f64`	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`	o/o	9	0
↳	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`	overflow	9
↳	`(+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))`	overflow	9
↳	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`	overflow	9
↳	`(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))`	overflow	9

Confusion

	Predicted +	Predicted -
+	254	1
-	0	1

Precision

1.0

Recall

0.996078431372549

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	254	1	0
-	0	0	1

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	2
1	245
2	9

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

173.0ms	472×	1	valid
16.0ms	18×	2	valid
3.0ms	22×	0	valid

Compiler

Compiled 434 to 52 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

ival-exp: 33.0ms (28.4% of total)

ival-div: 18.0ms (15.5% of total)

ival-log: 18.0ms (15.5% of total)

ival-mult: 14.0ms (12% of total)

adjust: 12.0ms (10.3% of total)

ival-neg: 8.0ms (6.9% of total)

ival-pi: 4.0ms (3.4% of total)

ival-sub: 4.0ms (3.4% of total)

ival-add: 4.0ms (3.4% of total)

exact: 1.0ms (0.9% of total)

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

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

preprocess474.0ms (2.9%)

Memory

5.1MiB live, 286.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 988×	`lower-fma.f64`
8 988×	`lower-fma.f32`
2 264×	`lower-+.f32`
2 262×	`lower-+.f64`
2 004×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	81
1	53	64
2	163	64
3	458	64
4	878	64
5	1200	64
6	1440	64
7	1537	64
8	1770	64
9	1897	64
10	2161	52
11	2481	50
12	2715	50
13	3126	50
14	3765	50
15	4525	50
16	5273	50
17	6484	50
18	6758	50
19	6770	50
20	7470	50
0	16	37
0	29	37
1	58	32
2	133	32
3	278	32
4	408	32
5	513	32
6	607	32
7	742	32
8	850	32
9	1064	32
10	1288	32
11	1420	32
12	1559	32
13	1665	32
14	1873	32
15	2285	32
16	3142	32
17	4668	25
18	5411	25
19	7617	25
0	8447	22

Stop Event

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

Calls

Call 1

Inputs

(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))

Outputs

(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))

(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))

Compiler

Compiled 38 to 16 computations (57.9% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.9%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))

Status

Accuracy

Program

▶

5.9%

(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))

Compiler

Compiled 38 to 16 computations (57.9% saved)

simplify291.0ms (1.8%)

Memory

17.9MiB live, 214.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	128	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
cost-diff	320	(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff	384	(/.f64 (PI.f64) #s(literal 4 binary64))
cost-diff	13568	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))

Rules

8 988×	`lower-fma.f64`
8 988×	`lower-fma.f32`
2 264×	`lower-+.f32`
2 262×	`lower-+.f64`
2 004×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	196
0	29	196
1	58	177
2	133	177
3	278	177
4	408	177
5	513	177
6	607	177
7	742	177
8	850	177
9	1064	177
10	1288	177
11	1420	177
12	1559	177
13	1665	177
14	1873	177
15	2285	177
16	3142	177
17	4668	149
18	5411	149
19	7617	149
0	8447	137

Stop Event

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

Calls

Call 1

Inputs
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
(+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
f
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))

Outputs
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/2 binary64))))))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/2 binary64))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/2 binary64)))))))
(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
(+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/2 binary64))))))
(+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64)))))
(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(exp.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64))))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
(.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))
f
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
(exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))
(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64)))
(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64)))))

localize142.0ms (0.9%)

Memory

-6.1MiB live, 151.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.33984375	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
accuracy	0.6394677754980801	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
accuracy	2.4593410192258687	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
accuracy	56.14613698816308	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))

Samples

93.0ms	236×	1	valid
12.0ms	9×	2	valid
1.0ms	11×	0	valid

Compiler

Compiled 198 to 18 computations (90.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

adjust: 32.0ms (35.1% of total)

ival-exp: 19.0ms (20.8% of total)

ival-log: 13.0ms (14.3% of total)

ival-div: 9.0ms (9.9% of total)

ival-mult: 8.0ms (8.8% of total)

ival-neg: 4.0ms (4.4% of total)

ival-pi: 2.0ms (2.2% of total)

ival-sub: 2.0ms (2.2% of total)

ival-add: 2.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

series139.0ms (0.9%)

Memory

-17.7MiB live, 101.1MiB allocated

Counts

7 → 60

Calls

Call 1

Inputs
#s(alt (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) (patch (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) #<representation binary64>) () ())
#s(alt (/.f64 (PI.f64) #s(literal 4 binary64)) (patch (/.f64 (PI.f64) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))) (patch (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))) #<representation binary64>) () ())
#s(alt (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (patch (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))) (patch (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))) (patch (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))) #<representation binary64>) () ())

Outputs
#s(alt (/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI))))) (taylor 0 f) (#s(alt (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) (patch (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) (taylor 0 f) (#s(alt (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) (patch (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) (taylor 0 f) (#s(alt (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) (patch (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) (taylor 0 f) (#s(alt (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) (patch (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) (taylor inf f) (#s(alt (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) (patch (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) (taylor inf f) (#s(alt (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) (patch (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) (taylor inf f) (#s(alt (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) (patch (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) (taylor inf f) (#s(alt (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) (patch (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) (taylor -inf f) (#s(alt (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) (patch (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) (taylor -inf f) (#s(alt (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) (patch (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) (taylor -inf f) (#s(alt (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) (patch (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) #<representation binary64>) () ())) ())
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Calls

15 calls:

Time	Variable		Point	Expression
82.0ms	f	@	inf	(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))
35.0ms	f	@	-inf	(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))
3.0ms	f	@	0	(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))
1.0ms	f	@	0	(/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))
1.0ms	f	@	-inf	(/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))

simplify187.0ms (1.1%)

Memory

16.2MiB live, 259.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 296×	`lower-fma.f64`
7 296×	`lower-fma.f32`
3 266×	`lower-*.f64`
3 266×	`lower-*.f32`
1 520×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	190	1850
1	553	1668
2	2112	1484
0	9053	1459

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI)))))
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
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(+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 f (.f64 f (.f64 (PI.f64) (.f64 (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64))))) (PI.f64)) (fma.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 0 binary64)))
(+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))) (* f (+ (* 2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))))))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 f (.f64 f (.f64 (PI.f64) (.f64 (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64))))) (PI.f64)) (fma.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 0 binary64)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))

rewrite234.0ms (1.4%)

Memory

2.3MiB live, 377.6MiB allocated

Rules

5 070×	`lower-*.f32`
5 066×	`lower-*.f64`
3 230×	`lower-fma.f64`
3 230×	`lower-fma.f32`
3 206×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	154
0	29	100
1	119	52
2	783	52
0	8561	52

Stop Event

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

Counts

7 → 561

Calls

Call 1

Inputs
(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
(/.f64 (PI.f64) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))

Outputs
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))))))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))))) (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (.f64 (.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (.f64 (.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64)))))))
(+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (.f64 (.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (.f64 (.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (.f64 (.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (.f64 (.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) #s(literal 1 binary64)))
(+.f64 (.f64 (exp.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (.f64 (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(+.f64 (.f64 (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (.f64 (exp.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(+.f64 (.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (.f64 (.f64 (PI.f64) f) #s(literal 3/4 binary64))))))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (.f64 (.f64 (PI.f64) f) #s(literal 3/4 binary64))))))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (.f64 (.f64 (PI.f64) f) #s(literal 3/4 binary64))))))) (.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (.f64 (.f64 (PI.f64) f) #s(literal 3/4 binary64))))))))
(+.f64 (.f64 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (.f64 (.f64 (PI.f64) f) #s(literal 3/4 binary64))))))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (.f64 (.f64 (PI.f64) f) #s(literal 3/4 binary64))))))))
(exp.f64 (.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 (/.f64 (exp.f64 (neg.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(-.f64 (/.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64))))
(fma.f64 (exp.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
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(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (.f64 (+.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (+.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))) (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (.f64 (log.f64 (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) #s(literal 4 binary64)) (.f64 (log.f64 (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (PI.f64)))
(/.f64 (.f64 (.f64 (log.f64 (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) #s(literal 1 binary64)) (.f64 (log.f64 (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (.f64 (PI.f64) #s(literal 1/4 binary64))))
(/.f64 (.f64 (.f64 (log.f64 (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) #s(literal -1 binary64)) (.f64 (log.f64 (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (.f64 (PI.f64) #s(literal -1/4 binary64))))
(/.f64 (.f64 (.f64 (log.f64 (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) #s(literal -4 binary64)) (.f64 (log.f64 (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (neg.f64 (PI.f64))))
(/.f64 (.f64 (.f64 (log.f64 (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (log.f64 (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) #s(literal 1/4 binary64)))
(/.f64 (.f64 (.f64 (log.f64 (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (/.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (.f64 (log.f64 (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (cbrt.f64 (PI.f64))))
(/.f64 (.f64 (.f64 (log.f64 (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (.f64 (log.f64 (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
(/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal -4 binary64)) (neg.f64 (PI.f64)))
(/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))))
(pow.f64 (/.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal -1 binary64))
(.f64 #s(literal 4 binary64) (/.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (neg.f64 (PI.f64))))
(.f64 #s(literal 1 binary64) (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (PI.f64) #s(literal -1/4 binary64))))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (PI.f64) #s(literal 1/4 binary64))))
(.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 4 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (neg.f64 (.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (neg.f64 (PI.f64))) #s(literal 4 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (PI.f64)) #s(literal -4 binary64))
(.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) (.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal -1/4 binary64)))
(.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (pow.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (pow.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))

eval179.0ms (1.1%)

Memory: 32.5MiB live, 317.5MiB allocated
Compiler: Compiled 32 226 to 3 625 computations (88.8% saved)

prune147.0ms (0.9%)

Memory

-12.3MiB live, 332.9MiB allocated

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	767	18	785
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	768	18	786

Accuracy

99.1%

Counts

786 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.6%	(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
▶	98.6%	(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
▶	98.5%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
	94.8%	(-.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (.f64 (PI.f64) #s(literal -1/4 binary64))))
	98.5%	(.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
	94.6%	(.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (/.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
	98.4%	(neg.f64 (/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
	98.3%	(neg.f64 (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
	94.9%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
	94.9%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
	5.8%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (fma.f64 (pow.f64 (exp.f64 f) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 f) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (neg.f64 (exp.f64 (.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))))))
	5.9%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (/.f64 (-.f64 (.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (neg.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64)))))))
	98.5%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
▶	94.9%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
	94.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
	93.7%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
▶	93.7%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
	93.7%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))

Compiler

Compiled 920 to 594 computations (35.4% saved)

simplify161.0ms (1%)

Memory

-19.9MiB live, 243.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(PI.f64)
cost-diff	0	(/.f64 #s(literal -4 binary64) (PI.f64))
cost-diff	128	(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
cost-diff	896	(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
cost-diff	320	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
cost-diff	576	(log.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff	7744	(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 (PI.f64) #s(literal 1/4 binary64))
cost-diff	0	(/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))))))
cost-diff	128	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
cost-diff	320	(/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff	0	(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)
cost-diff	0	(tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))
cost-diff	0	(log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
cost-diff	0	(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))

Rules

3 708×	`lower-*.f32`
3 688×	`lower-*.f64`
3 080×	`lower-fma.f32`
3 078×	`lower-fma.f64`
1 660×	`lower-/.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	49	552
0	82	533
1	176	506
2	436	492
3	1084	473
4	2820	472
5	6225	377
0	8388	377

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
f
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(literal 2 binary64)
(.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))
f
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
#s(literal 1 binary64)
(/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
(log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)
f
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
#s(literal 1/2 binary64)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
#s(literal 2 binary64)
(cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
f
(sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
(/.f64 #s(literal -4 binary64) (PI.f64))
#s(literal -4 binary64)
(PI.f64)
(log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
#s(literal 2 binary64)
(cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
f
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(neg.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))

Outputs
(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))
(tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))
(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
f
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))) (.f64 (PI.f64) #s(literal -1/4 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))
(/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
#s(literal 2 binary64)
(.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))
(.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))
f
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
#s(literal 1 binary64)
(/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
(log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))
(tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))
(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))
f
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
(/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))
#s(literal 1/2 binary64)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 #s(literal 1/2 binary64) (cosh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))
(.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
#s(literal 2 binary64)
(cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(cosh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))
(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
f
(sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(sinh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))
(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
(/.f64 (-.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.f64 #s(literal -4 binary64) (PI.f64))
#s(literal -4 binary64)
(PI.f64)
(log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
(.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
#s(literal 2 binary64)
(cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(cosh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))
(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
f
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(/.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(neg.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
(.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(sinh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))

localize604.0ms (3.7%)

Memory

29.2MiB live, 816.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.23046875	(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)
accuracy	0.41015625	(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
accuracy	0.8941293844226028	(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
accuracy	2.1796344346333916	(PI.f64)
accuracy	0.265625	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
accuracy	0.33984375	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
accuracy	0.6394677754980801	(log.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
accuracy	2.1796344346333916	(PI.f64)
accuracy	0.23046875	(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)
accuracy	0.28125	(/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
accuracy	0.6212678132553175	(log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
accuracy	2.1796344346333916	(PI.f64)
accuracy	0.33984375	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))))))
accuracy	0.6394677754980801	(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))
accuracy	1.4017399949737546	#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))))
accuracy	2.1796344346333916	(PI.f64)
accuracy	0.23046875	(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)
accuracy	0.29296875	(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
accuracy	0.6212678132553175	(log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
accuracy	2.1796344346333916	(PI.f64)

Samples

289.0ms	237×	1	valid
198.0ms	9×	5	exit
4.0ms	10×	0	valid

Compiler

Compiled 523 to 49 computations (90.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 370.0ms

ival-log: 166.0ms (44.8% of total)

ival-add: 38.0ms (10.3% of total)

ival-mult: 35.0ms (9.5% of total)

ival-div: 30.0ms (8.1% of total)

ival-exp: 27.0ms (7.3% of total)

adjust: 20.0ms (5.4% of total)

ival-tanh: 15.0ms (4.1% of total)

ival-cosh: 15.0ms (4.1% of total)

ival-sinh: 11.0ms (3% of total)

ival-neg: 7.0ms (1.9% of total)

ival-pi: 3.0ms (0.8% of total)

ival-sub: 2.0ms (0.5% of total)

exact: 1.0ms (0.3% of total)

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

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

series774.0ms (4.8%)

Memory

19.3MiB live, 395.7MiB allocated

Counts

21 → 204

Calls

Call 1

Inputs
#s(alt (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (patch (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #<representation binary64>) () ())
#s(alt (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (patch (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f) (patch (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))) (patch (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))))))) (patch (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))))))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))) (patch (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (patch (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #<representation binary64>) () ())
#s(alt (.f64 (PI.f64) #s(literal 1/4 binary64)) (patch (.f64 (PI.f64) #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (patch (log.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (patch (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))) (patch (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))) (patch (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -4 binary64) (PI.f64)) (patch (/.f64 #s(literal -4 binary64) (PI.f64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))) (patch #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))))) (patch (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))) (patch (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))) #<representation binary64>) () ())

Outputs
#s(alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (taylor 0 f) (#s(alt (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2)))) (taylor 0 f) (#s(alt (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2)))))) (taylor 0 f) (#s(alt (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI)))))))) (taylor 0 f) (#s(alt (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) (taylor inf f) (#s(alt (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) (taylor inf f) (#s(alt (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
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Calls

51 calls:

Time	Variable		Point	Expression
220.0ms	f	@	-inf	(/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) 1/4))
202.0ms	f	@	-inf	(+ (* (/ -4 (PI)) (log (* 2 (cosh (* (* (PI) 1/4) f))))) (* (/ -4 (PI)) (neg (log (* 2 (sinh (* (* (PI) 1/4) f)))))))
78.0ms	f	@	-inf	(log (/ 1/2 (* (/ 1 (* 2 (cosh (* (* (PI) 1/4) f)))) (sinh (* (* (PI) 1/4) f)))))
58.0ms	f	@	0	(log (/ 1/2 (* (/ 1 (* 2 (cosh (* (* (PI) 1/4) f)))) (sinh (* (* (PI) 1/4) f)))))
46.0ms	f	@	inf	(/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) 1/4))

simplify280.0ms (1.7%)

Memory

-26.7MiB live, 150.5MiB allocated

Algorithm

1×	egg-herbie

Rules

5 074×	`lower-fma.f64`
5 074×	`lower-fma.f32`
3 868×	`lower-*.f64`
3 868×	`lower-*.f32`
2 394×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	510	7843
1	1652	6732
2	7419	5813
0	8978	5617

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))
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(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)) #s(literal 0 binary64))
(+ (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* f (+ (* -8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 1/2 (* (PI) (- (* 1/8 (PI)) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 8 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (pow (PI) 2))))))))) (PI))))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)) (fma.f64 (/.f64 (fma.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/8 binary64) (.f64 #s(literal -8 binary64) (/.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/32 binary64))) (.f64 (PI.f64) #s(literal -1/4 binary64)) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/384 binary64)))) (.f64 (PI.f64) (PI.f64))))) #s(literal 0 binary64)) (PI.f64)) (*.f64 #s(literal 2 binary64) f) #s(literal 0 binary64)))
(+ (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* f (+ (* -8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (+ (* 3/2 (* (PI) (- (* -2 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))) (PI))) (+ (* -16 (/ (* (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 3))) (+ (* 2 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/8 (PI)) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 8 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (pow (PI) 2)))))) (PI))) (* 8 (/ (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4))))) (pow (PI) 2)))))))) (* 3 (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/8 (PI)) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 8 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (pow (PI) 2)))))))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 1/2 (* (PI) (- (* 1/8 (PI)) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 8 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (pow (PI) 2)))))))) (PI))))))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 (fma.f64 (.f64 (PI.f64) #s(literal 3/2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 #s(literal -1/32 binary64) (PI.f64))) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal -1/128 binary64)))) (PI.f64)) (neg.f64 (/.f64 (.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 #s(literal -1/32 binary64) (PI.f64))) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal -1/192 binary64)))) (.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/3072 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/1024 binary64))))) (.f64 (PI.f64) (PI.f64))))) #s(literal 0 binary64)) (/.f64 f (PI.f64))) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/8 binary64) (.f64 #s(literal -8 binary64) (/.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/32 binary64))) (.f64 (PI.f64) #s(literal -1/4 binary64)) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/384 binary64)))) (.f64 (PI.f64) (PI.f64)))))) #s(literal 0 binary64)) (PI.f64))) (*.f64 f f) #s(literal 0 binary64)))
(* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(/.f64 (.f64 #s(literal 4 binary64) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))))))) (PI.f64))
(* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(/.f64 (.f64 #s(literal 4 binary64) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))))))) (PI.f64))
(* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(/.f64 (.f64 #s(literal 4 binary64) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))))))) (PI.f64))
(* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(/.f64 (.f64 #s(literal 4 binary64) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))))))) (PI.f64))
(* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(/.f64 (.f64 #s(literal 4 binary64) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))))))) (PI.f64))
(* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(/.f64 (.f64 #s(literal 4 binary64) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))))))) (PI.f64))
(* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(/.f64 (.f64 #s(literal 4 binary64) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))))))) (PI.f64))
(* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(/.f64 (.f64 #s(literal 4 binary64) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))))))) (PI.f64))

rewrite372.0ms (2.3%)

Memory

39.8MiB live, 503.8MiB allocated

Rules

4 614×	`lower-/.f32`
4 596×	`lower-/.f64`
3 642×	`lower-*.f32`
3 622×	`lower-*.f64`
2 900×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	359
0	80	240
1	307	202
2	1932	202
0	8320	202

Stop Event

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

Counts

21 → 1 889

Calls

Call 1

Inputs
(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(log.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(/.f64 #s(literal -4 binary64) (PI.f64))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))))
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))

Outputs
(+.f64 (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))) (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (.f64 (PI.f64) #s(literal -1/4 binary64))))
(+.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (.f64 (PI.f64) #s(literal -1/4 binary64))) (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (.f64 (PI.f64) #s(literal -1/4 binary64))) (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))))
(-.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (.f64 (PI.f64) #s(literal -1/4 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) (/.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))) (.f64 (PI.f64) #s(literal -1/4 binary64)))) (/.f64 (pow.f64 (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))) #s(literal 2 binary64)) (/.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))) (.f64 (PI.f64) #s(literal -1/4 binary64)))))
(-.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (.f64 (PI.f64) #s(literal 1/4 binary64))))
(-.f64 (/.f64 (log.f64 (expm1.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))) (.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log1p.f64 (exp.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))) (.f64 (PI.f64) #s(literal 1/4 binary64))))
(-.f64 (/.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))))) (.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log1p.f64 (exp.f64 (.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)))) (.f64 (PI.f64) #s(literal 1/4 binary64))))
(-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (.f64 (PI.f64) #s(literal -1/4 binary64))))
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(.f64 #s(literal 1 binary64) (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (.f64 (PI.f64) #s(literal -1/4 binary64))))
(.f64 #s(literal 4 binary64) (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (neg.f64 (PI.f64))))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal -1/4 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (.f64 #s(literal 4 binary64) (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))))
(.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64)) #s(literal -4 binary64))
(.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (neg.f64 (PI.f64))) #s(literal 4 binary64))
(.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 4 binary64))
(.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))

eval555.0ms (3.4%)

Memory: 16.2MiB live, 1 080.7MiB allocated
Compiler: Compiled 98 161 to 8 034 computations (91.8% saved)

prune338.0ms (2.1%)

Memory

-28.8MiB live, 613.2MiB allocated

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	3 246	15	3 261
Fresh	8	5	13
Picked	4	1	5
Done	0	0	0
Total	3 258	21	3 279

Accuracy

99.9%

Counts

3 279 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))))
	10.3%	(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))))) (log1p.f64 (exp.f64 (.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
	98.4%	(/.f64 (-.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (log.f64 #s(literal 1/2 binary64))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
	95.0%	(/.f64 (log.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
✓	98.6%	(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
	93.8%	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (fma.f64 f (.f64 f (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 #s(literal -1/32 binary64) (PI.f64))) #s(literal -1/8 binary64) (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal -1/128 binary64)))))) (.f64 #s(literal 1/4 binary64) (PI.f64)))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
▶	93.7%	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
	98.1%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
	93.7%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))))
▶	98.4%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)))
▶	98.5%	(-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
	93.7%	(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))))))
▶	98.4%	(neg.f64 (/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
	98.3%	(neg.f64 (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
	93.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
	98.5%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
	95.0%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64)))))))))
▶	94.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
	93.7%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))))))))
	93.4%	#s(approx (+ (* (/ -4 (PI)) (log (* 2 (cosh (* (* (PI) 1/4) f))))) (* (/ -4 (PI)) (neg (log (* 2 (sinh (* (* (PI) 1/4) f))))))) (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (PI.f64)) (/.f64 (.f64 #s(literal -4 binary64) (log.f64 #s(literal 2 binary64))) (PI.f64))))
	93.7%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))

Compiler

Compiled 826 to 596 computations (27.8% saved)

simplify273.0ms (1.7%)

Memory

4.3MiB live, 325.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
cost-diff	128	(.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
cost-diff	128	(neg.f64 (/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
cost-diff	1984	(/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
cost-diff	0	(log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))
cost-diff	0	(/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))
cost-diff	0	(.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64))
cost-diff	704	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)))
cost-diff	192	(*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))
cost-diff	320	(.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))
cost-diff	704	(fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff	0	(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
cost-diff	0	#s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))
cost-diff	0	(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
cost-diff	0	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
cost-diff	0	(*.f64 (PI.f64) #s(literal -1/4 binary64))
cost-diff	0	(log.f64 #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
cost-diff	128	(-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))

Rules

15 532×	`lower-fma.f32`
15 528×	`lower-fma.f64`
5 918×	`lower-+.f32`
5 916×	`lower-+.f64`
4 056×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	620
0	113	600
1	249	541
2	595	511
3	1595	495
4	3639	495
0	8476	494

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(/.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(log.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (PI.f64) #s(literal -1/4 binary64))
(PI.f64)
#s(literal -1/4 binary64)
(/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (.f64 (PI.f64) #s(literal -1/4 binary64)))
(log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))
(.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))
(*.f64 #s(literal 1/4 binary64) f)
#s(literal 1/4 binary64)
f
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
#s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))
(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(PI.f64)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
f
(.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))))
(fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))
(.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))
#s(literal 1/192 binary64)
(*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))
#s(literal 2 binary64)
(+.f64 (PI.f64) (PI.f64))
#s(literal -2 binary64)
(*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))
#s(literal 1/16 binary64)
(/.f64 #s(literal 4 binary64) (PI.f64))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)))
#s(literal 1 binary64)
(.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64))
(/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))
#s(literal 1/4 binary64)
(log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))
(tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))
(.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))
(PI.f64)
(*.f64 #s(literal 1/4 binary64) f)
f
(neg.f64 (/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
f
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
(sqrt.f64 (PI.f64))

Outputs
(-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(fma.f64 #s(literal 4 binary64) (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (PI.f64)) (/.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal -1/4 binary64))))
(/.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(log.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (PI.f64) #s(literal -1/4 binary64))
(PI.f64)
#s(literal -1/4 binary64)
(/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (.f64 (PI.f64) #s(literal -1/4 binary64)))
(log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
(.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))
(tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))
(.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))
(.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))
(*.f64 #s(literal 1/4 binary64) f)
#s(literal 1/4 binary64)
f
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))
#s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))
#s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))
(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
(.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(PI.f64)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 (.f64 (PI.f64) f) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 (.f64 (PI.f64) f) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 (.f64 (PI.f64) f) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 (.f64 (PI.f64) f) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(/.f64 (fma.f64 f (.f64 (.f64 (PI.f64) f) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(fma.f64 f (.f64 (.f64 (PI.f64) f) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))
f
(.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))))
(.f64 (.f64 (PI.f64) f) #s(literal 1/12 binary64))
(fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))
(*.f64 (PI.f64) #s(literal 1/12 binary64))
(.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))
(*.f64 (PI.f64) #s(literal 1/48 binary64))
#s(literal 1/192 binary64)
(*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))
(*.f64 (PI.f64) #s(literal 4 binary64))
#s(literal 2 binary64)
(+.f64 (PI.f64) (PI.f64))
#s(literal -2 binary64)
(*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))
(*.f64 (PI.f64) #s(literal 1/8 binary64))
#s(literal 1/16 binary64)
(/.f64 #s(literal 4 binary64) (PI.f64))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)))
(/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
#s(literal 1 binary64)
(.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64))
(/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))
(/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
#s(literal 1/4 binary64)
(log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))
(log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))
(tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))
(tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))
(.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))
(.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))
(PI.f64)
(*.f64 #s(literal 1/4 binary64) f)
f
(neg.f64 (/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
(neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
(log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))
(tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))
(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
f
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
(sqrt.f64 (PI.f64))

localize524.0ms (3.2%)

Memory

-1.7MiB live, 665.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3125	(/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
accuracy	0.6212678132553175	(log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
accuracy	0.96484375	(sqrt.f64 (PI.f64))
accuracy	2.1796344346333916	(PI.f64)
accuracy	0.296875	(/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))
accuracy	0.3046875	(.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64))
accuracy	0.6212678132553175	(log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))
accuracy	2.1796344346333916	(PI.f64)
accuracy	0.96484375	(fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))
accuracy	0.96484375	(.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))
accuracy	1.1758621166723193	#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
accuracy	2.1796344346333916	(PI.f64)
accuracy	0.29296875	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
accuracy	0.6212678132553175	(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
accuracy	1.3941916180047613	#s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))
accuracy	2.1796344346333916	(PI.f64)
accuracy	0.23046875	(.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))
accuracy	0.33203125	(/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (.f64 (PI.f64) #s(literal -1/4 binary64)))
accuracy	0.9298086548921385	(-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
accuracy	2.1796344346333916	(PI.f64)

Samples

222.0ms	236×	1	valid
186.0ms	9×	5	exit
5.0ms	11×	0	valid

Compiler

Compiled 514 to 63 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 350.0ms

ival-log: 165.0ms (47.2% of total)

ival-mult: 50.0ms (14.3% of total)

ival-div: 36.0ms (10.3% of total)

ival-exp: 25.0ms (7.1% of total)

ival-tanh: 23.0ms (6.6% of total)

adjust: 18.0ms (5.1% of total)

ival-neg: 9.0ms (2.6% of total)

ival-add: 8.0ms (2.3% of total)

ival-sub: 4.0ms (1.1% of total)

const: 4.0ms (1.1% of total)

ival-sqrt: 3.0ms (0.9% of total)

ival-pi: 2.0ms (0.6% of total)

exact: 1.0ms (0.3% of total)

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

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

series101.0ms (0.6%)

Memory

27.2MiB live, 140.1MiB allocated

Counts

26 → 204

Calls

Call 1

Inputs
#s(alt (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (.f64 (PI.f64) #s(literal -1/4 binary64)))) (patch (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (.f64 (PI.f64) #s(literal -1/4 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal -1/4 binary64))) (patch (/.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal -1/4 binary64))) #<representation binary64>) () ())
#s(alt (log.f64 #s(literal 1/2 binary64)) (patch (log.f64 #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (PI.f64) #s(literal -1/4 binary64)) (patch (.f64 (PI.f64) #s(literal -1/4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (patch (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) #<representation binary64>) () ())
#s(alt #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (patch #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #<representation binary64>) () ())
#s(alt (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))) (patch (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) (patch (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) (patch (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))) (patch (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (PI.f64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (PI.f64))) #<representation binary64>) () ())
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Outputs
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#s(alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) (taylor -inf f) (#s(alt #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (patch #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) #<representation binary64>) () ())) ())
#s(alt (+ (log f) (log (* 1/4 (PI)))) (taylor 0 f) (#s(alt (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (patch (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #<representation binary64>) () ())) ())
#s(alt (+ (log f) (+ (log (* 1/4 (PI))) (* 2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI))))) (taylor 0 f) (#s(alt (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (patch (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #<representation binary64>) () ())) ())
#s(alt (+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 1/2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))))))) (taylor 0 f) (#s(alt (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (patch (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #<representation binary64>) () ())) ())
#s(alt (+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* f (+ (* 1/6 (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI))))))) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))))))))) (taylor 0 f) (#s(alt (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (patch (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #<representation binary64>) () ())) ())
#s(alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (taylor inf f) (#s(alt (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (patch (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #<representation binary64>) () ())) ())
#s(alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (taylor inf f) (#s(alt (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (patch (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #<representation binary64>) () ())) ())
#s(alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (taylor inf f) (#s(alt (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (patch (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #<representation binary64>) () ())) ())
#s(alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (taylor inf f) (#s(alt (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (patch (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #<representation binary64>) () ())) ())
#s(alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (taylor -inf f) (#s(alt (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (patch (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #<representation binary64>) () ())) ())
#s(alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (taylor -inf f) (#s(alt (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (patch (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #<representation binary64>) () ())) ())
#s(alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (taylor -inf f) (#s(alt (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (patch (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #<representation binary64>) () ())) ())
#s(alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (taylor -inf f) (#s(alt (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (patch (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #<representation binary64>) () ())) ())

Calls

51 calls:

Time	Variable		Point	Expression
41.0ms	f	@	inf	(- (/ (log 1/2) (* (PI) -1/4)) (/ (log (* 1/2 (tanh (* (PI) (* 1/4 f))))) (* (PI) -1/4)))
33.0ms	f	@	-inf	(- (/ (log 1/2) (* (PI) -1/4)) (/ (log (* 1/2 (tanh (* (PI) (* 1/4 f))))) (* (PI) -1/4)))
3.0ms	f	@	0	(log (tanh (* (* (PI) 1/4) f)))
2.0ms	f	@	0	(- (/ (log 1/2) (* (PI) -1/4)) (/ (log (* 1/2 (tanh (* (PI) (* 1/4 f))))) (* (PI) -1/4)))
2.0ms	f	@	0	(/ 1/4 (log (tanh (* (PI) (* 1/4 f)))))

simplify526.0ms (3.2%)

Memory

-90.3MiB live, 400.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 552×	`lower-fma.f64`
10 552×	`lower-fma.f32`
4 204×	`lower-+.f64`
4 204×	`lower-+.f32`
3 842×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	381	8570
1	1261	7409
2	5414	6102
0	9982	5913

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(- (* -4 (/ (log 1/2) (PI))) (* -4 (/ (+ (log f) (log (* 1/8 (PI)))) (PI))))
(- (+ (* -4 (/ (log 1/2) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2)))) (* -4 (/ (+ (log f) (log (* 1/8 (PI)))) (PI))))
(- (+ (* -4 (/ (log 1/2) (PI))) (* f (- (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* -8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2)))))) (* -4 (/ (+ (log f) (log (* 1/8 (PI)))) (PI))))
(- (+ (* -4 (/ (log 1/2) (PI))) (* f (- (* f (- (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* -2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))))) (* -8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2)))))) (* -4 (/ (+ (log f) (log (* 1/8 (PI)))) (PI))))
(- (* -4 (/ (log 1/2) (PI))) (* -4 (/ (log (* 1/2 (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))) (PI))))
(- (* -4 (/ (log 1/2) (PI))) (* -4 (/ (log (* 1/2 (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))) (PI))))
(- (* -4 (/ (log 1/2) (PI))) (* -4 (/ (log (* 1/2 (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))) (PI))))
(- (* -4 (/ (log 1/2) (PI))) (* -4 (/ (log (* 1/2 (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))) (PI))))
(- (* -4 (/ (log 1/2) (PI))) (* -4 (/ (log (* 1/2 (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))) (PI))))
(- (* -4 (/ (log 1/2) (PI))) (* -4 (/ (log (* 1/2 (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))) (PI))))
(- (* -4 (/ (log 1/2) (PI))) (* -4 (/ (log (* 1/2 (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))) (PI))))
(- (* -4 (/ (log 1/2) (PI))) (* -4 (/ (log (* 1/2 (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))) (PI))))
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))))))))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(+ (log f) (log (* 1/4 (PI))))
(+ (log f) (+ (log (* 1/4 (PI))) (* 2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI)))))
(+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 1/2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI)))))))
(+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* f (+ (* 1/6 (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI))))))) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))))))))
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(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64)))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64)))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64)))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64)))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64)))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64)))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64)))))))

rewrite160.0ms (1%)

Memory

-7.4MiB live, 228.9MiB allocated

Rules

1 768×	`lower-*.f32`
1 740×	`lower-*.f64`
1 444×	`lower-/.f32`
1 422×	`lower-/.f64`
1 378×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	64	284
0	107	247
1	404	226
0	3025	226

Stop Event

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

Counts

26 → 670

Calls

Call 1

Inputs
(-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(/.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(log.f64 #s(literal 1/2 binary64))
(*.f64 (PI.f64) #s(literal -1/4 binary64))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
#s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))
(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))
(.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))
(*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)))
(.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64))
(/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))
(log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))
(/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(neg.f64 (/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(PI.f64)
(/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (.f64 (PI.f64) #s(literal -1/4 binary64)))
(.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(sqrt.f64 (PI.f64))
(log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))

Outputs
(+.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(+.f64 (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(-.f64 (/.f64 (.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal -1/4 binary64))) (.f64 #s(literal 1/16 binary64) (.f64 (PI.f64) (PI.f64)))) (/.f64 (.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) (.f64 #s(literal 1/16 binary64) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (.f64 (PI.f64) #s(literal -1/4 binary64))) (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))) (pow.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (.f64 (PI.f64) #s(literal -1/4 binary64))) (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))) (pow.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))))) (/.f64 (pow.f64 (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))))))
(fma.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (.f64 (PI.f64) #s(literal 1/4 binary64))))
(fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal -1/4 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(fma.f64 (neg.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal -1/4 binary64))))
(fma.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (.f64 (PI.f64) #s(literal 1/4 binary64))))
(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (.f64 (PI.f64) #s(literal 1/4 binary64))))
(fma.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal -4 binary64) (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (.f64 (PI.f64) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (PI.f64) (PI.f64))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal -1/4 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (.f64 (PI.f64) #s(literal -1/4 binary64))) (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))) (pow.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))) (-.f64 (pow.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)))))
(/.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) (.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.f64 (fma.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal -1/4 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))) (.f64 #s(literal 1/16 binary64) (.f64 (PI.f64) (PI.f64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (.f64 (PI.f64) #s(literal -1/4 binary64))) (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))) (pow.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))))
(/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (PI.f64))) #s(literal -1/4 binary64))
(/.f64 (-.f64 (.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))) (.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (/.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))))
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(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(neg.f64 (/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (neg.f64 (.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) (sqrt.f64 (PI.f64)))
(/.f64 (.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (neg.f64 (.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) #s(literal 1 binary64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
(/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) #s(literal -4 binary64)) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
(.f64 #s(literal 4 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))))
(.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (neg.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
(.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(.f64 #s(literal -1 binary64) (/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(.f64 (neg.f64 (.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) #s(literal -1 binary64)) (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
(log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
(+.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))
(+.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(-.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
(-.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))
(-.f64 (log.f64 (.f64 #s(literal -2 binary64) (cosh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))
(neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) (+.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)))
(neg.f64 (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (.f64 (PI.f64) #s(literal 1/4 binary64))))
(/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (PI.f64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))))
(/.f64 (neg.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (PI.f64)) #s(literal -1/4 binary64))
(/.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) #s(literal 1 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.f64 (neg.f64 (neg.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))) (.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.f64 (neg.f64 (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (PI.f64))) #s(literal 1/4 binary64))
(/.f64 (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) #s(literal -1/4 binary64)) (PI.f64))
(pow.f64 (/.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) #s(literal -1 binary64))
(.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(.f64 #s(literal 1 binary64) (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(.f64 (neg.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))
(.f64 (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (PI.f64)) #s(literal -4 binary64))
(/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))
(/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 (PI.f64) f)) #s(literal -4 binary64))
(/.f64 (*.f64 f #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 (*.f64 f (neg.f64 (PI.f64))) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 (*.f64 (neg.f64 (PI.f64)) f) #s(literal -4 binary64))
(.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))
(*.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))
(.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))
(.f64 f (.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))
(.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (.f64 (cbrt.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)))
(.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))
(.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) #s(literal 1 binary64)) (PI.f64))
(.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64) (+.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)))
(fabs.f64 (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (sqrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))
(-.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))
(-.f64 (log.f64 (expm1.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 1/4 binary64) f)))) (log1p.f64 (exp.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 1/4 binary64) f)))))
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)) #s(literal -2 binary64)))))

eval181.0ms (1.1%)

Memory: 16.5MiB live, 400.8MiB allocated
Compiler: Compiled 33 753 to 5 141 computations (84.8% saved)

prune260.0ms (1.6%)

Memory

-1.7MiB live, 295.2MiB allocated

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	1 201	19	1 220
Fresh	9	6	15
Picked	3	2	5
Done	0	1	1
Total	1 213	28	1 241

Accuracy

99.9%

Counts

1 241 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.2%	(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (.f64 (PI.f64) #s(literal 1/4 binary64))))
	95.1%	(fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal -1/4 binary64))))
	97.7%	(/.f64 (/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))) (sqrt.f64 (PI.f64)))
	98.4%	(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))))
	10.3%	(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))))) (log1p.f64 (exp.f64 (.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
	98.4%	(/.f64 (-.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (log.f64 #s(literal 1/2 binary64))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
▶	98.5%	(/.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) (.f64 (PI.f64) #s(literal -1/4 binary64)))
✓	98.6%	(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
	93.7%	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
	93.8%	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (fma.f64 (fma.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (.f64 f f) (.f64 (PI.f64) #s(literal 1/4 binary64)))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
	93.7%	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
	92.7%	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
	93.2%	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/4 binary64)))
✓	93.7%	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
	93.7%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))))
	98.5%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))))
✓	98.4%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)))
	93.5%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) #s(approx (log (tanh ( (PI) (* 1/4 f)))) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (PI.f64)))
▶	98.3%	(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (neg.f64 (sqrt.f64 (PI.f64)))))
▶	93.7%	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
	98.5%	(.f64 (.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (neg.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (PI.f64)))))
	94.1%	(neg.f64 (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
	93.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
	93.8%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (PI.f64))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
	93.9%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
▶	93.7%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal -1/48 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
	93.5%	(neg.f64 (.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
▶	93.7%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))

Compiler

Compiled 1 078 to 741 computations (31.3% saved)

simplify182.0ms (1.1%)

Memory

-12.6MiB live, 140.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (PI.f64))
cost-diff	0	(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
cost-diff	256	(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (neg.f64 (sqrt.f64 (PI.f64))))
cost-diff	1984	(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (neg.f64 (sqrt.f64 (PI.f64)))))
cost-diff	0	(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
cost-diff	0	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
cost-diff	128	(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
cost-diff	256	(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
cost-diff	128	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal -1/48 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
cost-diff	320	(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff	384	(/.f64 (PI.f64) #s(literal 4 binary64))
cost-diff	448	(fma.f64 #s(literal -1/48 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))
cost-diff	0	(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))
cost-diff	0	(PI.f64)
cost-diff	0	(/.f64 #s(literal 4 binary64) (PI.f64))
cost-diff	0	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
cost-diff	128	(/.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) (.f64 (PI.f64) #s(literal -1/4 binary64)))
cost-diff	320	(/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
cost-diff	576	(log.f64 (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))

Rules

5 000×	`lower-fma.f32`
4 996×	`lower-fma.f64`
3 364×	`lower-*.f32`
3 346×	`lower-*.f64`
1 402×	`unsub-neg`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	61	550
0	99	515
1	232	477
2	600	473
3	1567	473
4	3481	376
5	5874	376
0	8252	376

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) (.f64 (PI.f64) #s(literal -1/4 binary64)))
(log.f64 (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
#s(literal 1/2 binary64)
(.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))
(.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) f)
(PI.f64)
f
(*.f64 (PI.f64) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))
#s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))
(.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) f)
f
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal -1/48 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal -1/48 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal -1/48 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal -1/48 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal -1/48 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(fma.f64 f (*.f64 f (fma.f64 #s(literal -1/48 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
f
(*.f64 f (fma.f64 #s(literal -1/48 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64))))
(fma.f64 #s(literal -1/48 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))
#s(literal -1/48 binary64)
(+.f64 (PI.f64) (PI.f64))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(log.f64 f)
f
(/.f64 #s(literal -4 binary64) (PI.f64))
#s(literal -4 binary64)
(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (neg.f64 (sqrt.f64 (PI.f64))))
(neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
(log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))
(tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))
(.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) f)
f
(neg.f64 (sqrt.f64 (PI.f64)))

Outputs
(/.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) (.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
(/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))
#s(literal 1/2 binary64)
(.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))
(.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) f)
(PI.f64)
f
(*.f64 (PI.f64) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))
#s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))
(.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) f)
f
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal -1/48 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 (.f64 (PI.f64) f) #s(literal 47/24 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal -1/48 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 (.f64 (PI.f64) f) #s(literal 47/24 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal -1/48 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 (.f64 (PI.f64) f) #s(literal 47/24 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal -1/48 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 (.f64 (PI.f64) f) #s(literal 47/24 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal -1/48 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(/.f64 (fma.f64 f (.f64 (.f64 (PI.f64) f) #s(literal 47/24 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(fma.f64 f (*.f64 f (fma.f64 #s(literal -1/48 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(fma.f64 f (.f64 (.f64 (PI.f64) f) #s(literal 47/24 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))
f
(*.f64 f (fma.f64 #s(literal -1/48 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64))))
(.f64 (.f64 (PI.f64) f) #s(literal 47/24 binary64))
(fma.f64 #s(literal -1/48 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))
(*.f64 (PI.f64) #s(literal 47/24 binary64))
#s(literal -1/48 binary64)
(+.f64 (PI.f64) (PI.f64))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)))) (.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)))) (.f64 #s(literal 1/4 binary64) (PI.f64)))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f))
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
(neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(log.f64 f)
f
(/.f64 #s(literal -4 binary64) (PI.f64))
#s(literal -4 binary64)
(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (sqrt.f64 (PI.f64)))
(neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
(log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))
(tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))
(.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) f)
f
(neg.f64 (sqrt.f64 (PI.f64)))

localize411.0ms (2.5%)

Memory

35.2MiB live, 273.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.23828125	(*.f64 (PI.f64) f)
accuracy	0.34765625	(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (neg.f64 (sqrt.f64 (PI.f64))))
accuracy	0.6212678132553175	(log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	0.19921875	(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
accuracy	0.359375	(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
accuracy	2.0	(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
accuracy	3.7249227954445887	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
accuracy	0.33984375	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal -1/48 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
accuracy	0.4375	(/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal -1/48 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
accuracy	0.6394677754980801	(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal -1/48 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
accuracy	3.471564683717077	#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal -1/48 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
accuracy	0.23828125	(*.f64 (PI.f64) f)
accuracy	0.33984375	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
accuracy	0.6212678132553175	(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))
accuracy	3.3691013182011367	#s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))
accuracy	0.23828125	(*.f64 (PI.f64) f)
accuracy	0.265625	(/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
accuracy	0.29296875	(/.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) (.f64 (PI.f64) #s(literal -1/4 binary64)))
accuracy	0.6394677754980801	(log.f64 (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))

Samples

275.0ms	236×	1	valid
23.0ms	9×	2	valid
4.0ms	11×	0	valid

Compiler

Compiled 456 to 56 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 238.0ms

ival-mult: 67.0ms (28.2% of total)

ival-div: 47.0ms (19.8% of total)

ival-log: 41.0ms (17.2% of total)

ival-exp: 31.0ms (13% of total)

adjust: 16.0ms (6.7% of total)

ival-add: 8.0ms (3.4% of total)

ival-neg: 7.0ms (2.9% of total)

ival-tanh: 6.0ms (2.5% of total)

ival-sub: 4.0ms (1.7% of total)

const: 4.0ms (1.7% of total)

ival-sqrt: 3.0ms (1.3% of total)

ival-pi: 2.0ms (0.8% of total)

exact: 1.0ms (0.4% of total)

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

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

series112.0ms (0.7%)

Memory

-18.9MiB live, 93.1MiB allocated

Counts

27 → 228

Calls

Call 1

Inputs
#s(alt (log.f64 (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) (patch (log.f64 (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (patch (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) (.f64 (PI.f64) #s(literal -1/4 binary64))) (patch (/.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) (.f64 (PI.f64) #s(literal -1/4 binary64))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (patch (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (patch (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 4 binary64) (PI.f64)) (patch (/.f64 #s(literal 4 binary64) (PI.f64)) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (patch (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/48 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64))) (patch (fma.f64 #s(literal -1/48 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64))) #<representation binary64>) () ())
#s(alt (/.f64 (PI.f64) #s(literal 4 binary64)) (patch (/.f64 (PI.f64) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 #s(literal -1/48 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))) (patch (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal -1/48 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (patch (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))) (patch (.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))) #<representation binary64>) () ())
#s(alt #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))) (patch #s(approx (neg ( (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))) #<representation binary64>) () ())
#s(alt (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (patch (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (neg.f64 (sqrt.f64 (PI.f64))))) (patch (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (neg.f64 (sqrt.f64 (PI.f64))))) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (neg.f64 (sqrt.f64 (PI.f64)))) (patch (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (neg.f64 (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (patch (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (.f64 (PI.f64) f) (patch (.f64 (PI.f64) f) #<representation binary64>) () ())
#s(alt #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))) (patch #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 #s(literal -1/48 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (patch #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal -1/48 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 #s(literal -1/48 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (patch (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal -1/48 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 f (.f64 f (fma.f64 #s(literal -1/48 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f) (patch (/.f64 (fma.f64 f (.f64 f (fma.f64 #s(literal -1/48 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 #s(literal -1/48 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))) (patch (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal -1/48 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))) #<representation binary64>) () ())
#s(alt (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (patch (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) #<representation binary64>) () ())

Outputs
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#s(alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (taylor inf f) (#s(alt (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (patch (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) #<representation binary64>) () ())) ())
#s(alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (taylor inf f) (#s(alt (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (patch (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) #<representation binary64>) () ())) ())
#s(alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (taylor inf f) (#s(alt (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (patch (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) #<representation binary64>) () ())) ())
#s(alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (taylor -inf f) (#s(alt (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (patch (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) #<representation binary64>) () ())) ())
#s(alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (taylor -inf f) (#s(alt (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (patch (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) #<representation binary64>) () ())) ())
#s(alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (taylor -inf f) (#s(alt (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (patch (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) #<representation binary64>) () ())) ())
#s(alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (taylor -inf f) (#s(alt (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (patch (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) #<representation binary64>) () ())) ())

Calls

57 calls:

Time	Variable		Point	Expression
39.0ms	f	@	0	(* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))
14.0ms	f	@	-inf	(* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))
7.0ms	f	@	-inf	(log (/ 1/2 (* 1/2 (tanh (* 1/4 (* (PI) f))))))
7.0ms	f	@	0	(log (/ 1/2 (* 1/2 (tanh (* 1/4 (* (PI) f))))))
7.0ms	f	@	inf	(log (/ 1/2 (* 1/2 (tanh (* 1/4 (* (PI) f))))))

simplify261.0ms (1.6%)

Memory

26.4MiB live, 220.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6 588×	`lower-fma.f64`
6 588×	`lower-fma.f32`
4 440×	`lower-*.f64`
4 440×	`lower-*.f32`
2 024×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	459	7964
1	1507	6922
2	6563	6083
0	9016	5888

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(+ (log (/ 4 (PI))) (* -1 (log f)))
(+ (log (/ 4 (PI))) (+ (* -2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI))) (* -1 (log f))))
(+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* f (+ (* -2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* 1/2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* -1/2 (* (PI) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))))))))))))
(+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* f (+ (* -2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* f (+ (* 1/6 (* f (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (+ (* -3 (* (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* -3/2 (* (PI) (+ (* -32 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 3))) (+ (* -2 (/ (* (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (pow (PI) 2))))))))))) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* -1/2 (* (PI) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2))))))))))))))
(log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(/ 4 (* f (PI)))
(/ (+ (* -8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))) (* 4 (/ 1 (PI)))) f)
(/ (+ (* f (- (* -1 (* f (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))) (* 4 (/ 1 (PI)))) f)
(/ (+ (* f (- (* f (- (* -1 (* f (+ (* -32 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 3))) (+ (* -2 (/ (* (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (pow (PI) 2))))))) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))) (* 4 (/ 1 (PI)))) f)
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))
(+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* f (+ (* -2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* -1/2 (* (PI) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))
(+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* -2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* -1/2 (* (PI) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2))))))) (PI))) (* -2/3 (/ (* f (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (+ (* -3 (* (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* -3/2 (* (PI) (+ (* -32 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 3))) (+ (* -2 (/ (* (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (pow (PI) 2)))))))))) (PI))))))))
(* -4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 1/8 (* f (PI)))
(* f (+ (* 1/8 (PI)) (* 1/4 (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))))))
(* f (+ (* 1/8 (PI)) (* f (+ (* 1/4 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* 1/2 (* f (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))))))))
(* f (+ (* 1/8 (PI)) (* f (+ (* 1/4 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (+ (* 1/2 (* f (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))))) (* 1/2 (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))))))))))
(* 1/2 (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(* 1/2 (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(* 1/2 (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(* 1/2 (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
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(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) f)))) (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) f))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) f)))) (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) f))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) f)))) (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) f))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) f)))) (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) f))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) f)))) (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) f))))))

rewrite193.0ms (1.2%)

Memory

-3.7MiB live, 152.7MiB allocated

Rules

1 562×	`lower-*.f32`
1 544×	`lower-*.f64`
1 258×	`lower-fma.f32`
1 254×	`lower-fma.f64`
1 250×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	61	443
0	99	295
1	407	276
0	2981	276

Stop Event

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

Counts

27 → 758

Calls

Call 1

Inputs
(log.f64 (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) (.f64 (PI.f64) #s(literal -1/4 binary64)))
(.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
(/.f64 #s(literal 4 binary64) (PI.f64))
(PI.f64)
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))
(fma.f64 #s(literal -1/48 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))
(/.f64 (PI.f64) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal -1/48 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(*.f64 (PI.f64) f)
#s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal -1/48 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal -1/48 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
(/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal -1/48 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal -1/48 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))

Outputs
(log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
(+.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(+.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (neg.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))))
(+.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))
(-.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(-.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) #s(literal -1/2 binary64))))
(-.f64 (log.f64 (.f64 #s(literal -2 binary64) (cosh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))
(neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) #s(literal 3 binary64))) (fma.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (fma.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))))
(/.f64 (-.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))) (+.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))))
(/.f64 (-.f64 (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) (+.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
(neg.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(neg.f64 (/.f64 (.f64 #s(literal -2 binary64) (cosh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))
(/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))
(/.f64 #s(literal 1 binary64) (/.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
(/.f64 (cosh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))) (sinh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))
(/.f64 #s(literal -1 binary64) (neg.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
(/.f64 #s(literal -1/2 binary64) (.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) #s(literal -1/2 binary64)))
(/.f64 (.f64 #s(literal -2 binary64) (cosh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
(/.f64 (+.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (+.f64 (exp.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (expm1.f64 (fma.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)) (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))))))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (expm1.f64 (fma.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)) (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 (neg.f64 (.f64 #s(literal -2 binary64) (cosh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (neg.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (+.f64 (exp.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (expm1.f64 (fma.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)) (.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) #s(literal 1/2 binary64))
(pow.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))) #s(literal -1 binary64))
(.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
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(.f64 #s(literal 1 binary64) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))) #s(literal 1 binary64))
(neg.f64 (/.f64 (fma.f64 f (*.f64 f (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 f)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 f (*.f64 f (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64)))) f))
(/.f64 #s(literal 1 binary64) (/.f64 f (fma.f64 f (*.f64 f (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 f (fma.f64 f (*.f64 f (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64)))) #s(literal 1 binary64)))
(/.f64 (fma.f64 f (*.f64 f (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 f (fma.f64 f (*.f64 f (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))))))
(/.f64 (neg.f64 (fma.f64 f (*.f64 f (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64)))) (neg.f64 f))
(/.f64 (fma.f64 (.f64 f (.f64 f (+.f64 (PI.f64) (PI.f64)))) (.f64 (.f64 (.f64 f f) (.f64 f f)) (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 64 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) (.f64 f (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (-.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 f (.f64 f (+.f64 (PI.f64) (PI.f64))))) (.f64 (.f64 (.f64 f f) (*.f64 f f)) (+.f64 (PI.f64) (PI.f64))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 f f) (.f64 f f)) (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 16 binary64) (.f64 (PI.f64) (PI.f64)))) (.f64 f (fma.f64 f (*.f64 f (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal -4 binary64) (PI.f64)))))
(/.f64 (.f64 (fma.f64 (.f64 f (.f64 f (+.f64 (PI.f64) (PI.f64)))) (.f64 (.f64 (.f64 f f) (.f64 f f)) (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 64 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (-.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 f (.f64 f (+.f64 (PI.f64) (PI.f64))))) (.f64 (.f64 (.f64 f f) (.f64 f f)) (+.f64 (PI.f64) (PI.f64)))) f))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 f f) (.f64 f f)) (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 16 binary64) (.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64)) (.f64 (fma.f64 f (.f64 f (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal -4 binary64) (PI.f64))) f))
(/.f64 (neg.f64 (neg.f64 (fma.f64 f (*.f64 f (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))))) (neg.f64 (neg.f64 f)))
(/.f64 (.f64 (fma.f64 f (.f64 f (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 1 binary64)) f)
(/.f64 (.f64 (fma.f64 (.f64 f (.f64 f (+.f64 (PI.f64) (PI.f64)))) (.f64 (.f64 (.f64 f f) (.f64 f f)) (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 64 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 1 binary64) f)) (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (-.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 f (.f64 f (+.f64 (PI.f64) (PI.f64))))) (.f64 (.f64 (.f64 f f) (*.f64 f f)) (+.f64 (PI.f64) (PI.f64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 f f) (.f64 f f)) (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 16 binary64) (.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 1 binary64) f)) (fma.f64 f (*.f64 f (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(pow.f64 (/.f64 f (fma.f64 f (*.f64 f (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (.f64 f (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(.f64 (fma.f64 f (.f64 f (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) f))
(.f64 (neg.f64 (fma.f64 f (.f64 f (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64)))) (/.f64 #s(literal 1 binary64) (neg.f64 f)))
(.f64 (/.f64 #s(literal 1 binary64) f) (fma.f64 f (.f64 f (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (neg.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))) (.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (PI.f64)) #s(literal 1/4 binary64))
(/.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))) #s(literal 1/4 binary64)) (PI.f64))
(/.f64 (.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))) #s(literal 4 binary64)) (PI.f64))
(/.f64 (.f64 #s(literal 4 binary64) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))) (PI.f64))
(/.f64 (.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))) #s(literal -4 binary64)) (neg.f64 (PI.f64)))
(/.f64 (.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))) #s(literal -1 binary64)) (.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.f64 (.f64 #s(literal -4 binary64) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))) (neg.f64 (PI.f64)))
(.f64 #s(literal 4 binary64) (/.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (PI.f64)))
(.f64 #s(literal 4 binary64) (.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (.f64 #s(literal 1/4 binary64) (PI.f64))))
(.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))) #s(literal 1/4 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (.f64 #s(literal 4 binary64) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (PI.f64)) #s(literal 4 binary64))
(.f64 (.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(.f64 (.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 4 binary64))
(.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (+.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (neg.f64 (PI.f64))) #s(literal -4 binary64))
(log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))
(-.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))
(-.f64 (log.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) f)))) (log1p.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) f)))))
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f))))) (log1p.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f)))))
(neg.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))
(.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
(.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))

eval300.0ms (1.8%)

Memory: 23.9MiB live, 287.5MiB allocated
Compiler: Compiled 32 521 to 4 722 computations (85.5% saved)

prune369.0ms (2.3%)

Memory

-19.6MiB live, 456.4MiB allocated

Pruning

30 alts after pruning (26 fresh and 4 done)

	Pruned	Kept	Total
New	1 333	11	1 344
Fresh	5	15	20
Picked	4	1	5
Done	0	3	3
Total	1 342	30	1 372

Accuracy

100.0%

Counts

1 372 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.2%	(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (.f64 (PI.f64) #s(literal 1/4 binary64))))
	95.1%	(fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal -1/4 binary64))))
	97.7%	(/.f64 (/.f64 (.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
	98.4%	(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))))
	10.3%	(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))))) (log1p.f64 (exp.f64 (.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
	98.4%	(/.f64 (-.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (log.f64 #s(literal 1/2 binary64))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
	98.5%	(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
✓	98.6%	(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
	93.7%	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
	93.8%	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (fma.f64 (fma.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (.f64 f f) (.f64 (PI.f64) #s(literal 1/4 binary64)))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
	93.2%	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/4 binary64)))
✓	93.7%	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
	93.7%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))))
	98.5%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))))
✓	98.4%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)))
	92.3%	(.f64 (/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
	10.3%	(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f))))) (log1p.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f)))))) (neg.f64 (sqrt.f64 (PI.f64)))))
	93.6%	(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 #s(approx (log (tanh ( 1/4 (* (PI) f)))) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (neg.f64 (sqrt.f64 (PI.f64)))))
	93.5%	(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (sqrt.f64 (PI.f64))))
	93.5%	(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) #s(approx (/ (neg (log (tanh ( 1/4 (* (PI) f))))) (neg (sqrt (PI)))) (.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
✓	93.7%	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
	93.7%	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(approx (log (tanh ( (* (PI) 1/4) f))) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
	94.1%	(neg.f64 (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
	93.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
	93.8%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (PI.f64))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
	93.9%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
	93.8%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
	93.7%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/2304 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
	1.9%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* f (* f (+ (* -1/48 (+ (PI) (PI))) (+ (PI) (PI))))) (/ 4 (PI))) f) (.f64 f (.f64 (PI.f64) #s(literal 47/24 binary64))))))))
	93.5%	(neg.f64 (.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))

Compiler

Compiled 1 964 to 774 computations (60.6% saved)

regimes127.0ms (0.8%)

Memory

-16.6MiB live, 204.0MiB allocated

Counts

64 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* f (* f (+ (* -1/48 (+ (PI) (PI))) (+ (PI) (PI))))) (/ 4 (PI))) f) (.f64 f (.f64 (PI.f64) #s(literal 47/24 binary64))))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(.f64 (/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (sqrt.f64 (PI.f64))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/2304 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (fma.f64 (fma.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (.f64 f f) (.f64 (PI.f64) #s(literal 1/4 binary64)))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal -1/48 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (fma.f64 f (.f64 f (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 #s(literal -1/32 binary64) (PI.f64))) #s(literal -1/8 binary64) (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal -1/128 binary64)))))) (.f64 #s(literal 1/4 binary64) (PI.f64)))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (PI.f64))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(neg.f64 (.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(approx (log (tanh ( (* (PI) 1/4) f))) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) #s(approx (log (tanh ( (PI) (* 1/4 f)))) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (PI.f64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) (.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))))
(/.f64 (/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 #s(approx (log (tanh ( 1/4 (* (PI) f)))) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) #s(approx (/ (neg (log (tanh ( 1/4 (* (PI) f))))) (neg (sqrt (PI)))) (.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(neg.f64 (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
(neg.f64 (/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (neg.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(/.f64 (-.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (log.f64 #s(literal 1/2 binary64))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
#s(approx (+ (* (/ -4 (PI)) (log (* 2 (cosh (* (* (PI) 1/4) f))))) (* (/ -4 (PI)) (neg (log (* 2 (sinh (* (* (PI) 1/4) f))))))) (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (PI.f64)) (/.f64 (.f64 #s(literal -4 binary64) (log.f64 #s(literal 2 binary64))) (PI.f64))))
(fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal -1/4 binary64))))
(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (.f64 (PI.f64) #s(literal 1/4 binary64))))
(-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(/.f64 (log.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64)))))))))
(.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))))) (log1p.f64 (exp.f64 (.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
(-.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (.f64 (PI.f64) #s(literal -1/4 binary64))))
(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f))))) (log1p.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f)))))) (neg.f64 (sqrt.f64 (PI.f64)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
(.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (/.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (fma.f64 (pow.f64 (exp.f64 f) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 f) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (neg.f64 (exp.f64 (.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (/.f64 (-.f64 (.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (neg.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64)))))))

Outputs
(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))

Calls

6 calls:

39.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
21.0ms	f
18.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
16.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
15.0ms	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))

Results

Accuracy	Segments	Branch
98.6%	1	`f`
98.6%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
98.6%	1	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
98.6%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
98.6%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
98.6%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`

Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes46.0ms (0.3%)

Memory

3.1MiB live, 115.8MiB allocated

Counts

25 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* f (* f (+ (* -1/48 (+ (PI) (PI))) (+ (PI) (PI))))) (/ 4 (PI))) f) (.f64 f (.f64 (PI.f64) #s(literal 47/24 binary64))))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(.f64 (/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (sqrt.f64 (PI.f64))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/2304 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (fma.f64 (fma.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (.f64 f f) (.f64 (PI.f64) #s(literal 1/4 binary64)))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal -1/48 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (fma.f64 f (.f64 f (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 #s(literal -1/32 binary64) (PI.f64))) #s(literal -1/8 binary64) (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal -1/128 binary64)))))) (.f64 #s(literal 1/4 binary64) (PI.f64)))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (PI.f64))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(neg.f64 (.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(approx (log (tanh ( (* (PI) 1/4) f))) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))))))

Outputs

(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))

Calls

6 calls:

9.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
7.0ms	f
7.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
7.0ms	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
7.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)

Results

Accuracy	Segments	Branch
94.1%	1	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
94.1%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
94.1%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
94.1%	1	`f`
94.1%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
94.1%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`

Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes39.0ms (0.2%)

Memory

18.3MiB live, 93.0MiB allocated

Counts

17 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* f (* f (+ (* -1/48 (+ (PI) (PI))) (+ (PI) (PI))))) (/ 4 (PI))) f) (.f64 f (.f64 (PI.f64) #s(literal 47/24 binary64))))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(.f64 (/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (sqrt.f64 (PI.f64))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/2304 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (fma.f64 (fma.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (.f64 f f) (.f64 (PI.f64) #s(literal 1/4 binary64)))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal -1/48 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))

Outputs

(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (fma.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (*.f64 f f) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))

Calls

6 calls:

9.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
9.0ms	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
5.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
5.0ms	f
5.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))

Results

Accuracy	Segments	Branch
93.8%	1	`f`
93.8%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
93.8%	1	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
93.8%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
93.8%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
93.8%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`

Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes25.0ms (0.2%)

Memory

-15.3MiB live, 63.3MiB allocated

Counts

13 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* f (* f (+ (* -1/48 (+ (PI) (PI))) (+ (PI) (PI))))) (/ 4 (PI))) f) (.f64 f (.f64 (PI.f64) #s(literal 47/24 binary64))))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(.f64 (/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (sqrt.f64 (PI.f64))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/2304 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))

Outputs
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))

Calls

6 calls:

5.0ms	f
4.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
4.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
4.0ms	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
4.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))

Results

Accuracy	Segments	Branch
93.7%	1	`f`
93.7%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
93.7%	1	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
93.7%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
93.7%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
93.7%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`

Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes7.0ms (0%)

Memory

21.3MiB live, 21.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))

Outputs
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))

Calls

6 calls:

1.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
1.0ms	f
1.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
1.0ms	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
1.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))

Results

Accuracy	Segments	Branch
93.7%	1	`f`
93.7%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
93.7%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
93.7%	1	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
93.7%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
93.7%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`

Compiler

Compiled 144 to 60 computations (58.3% saved)

simplify13.0ms (0.1%)

Memory

-26.0MiB live, 17.5MiB allocated

Algorithm

1×	egg-herbie

Rules

40×	`*-commutative_binary64`
10×	`+-commutative_binary64`
10×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	141
1	86	141
2	99	141
3	108	141
4	114	141
5	116	141

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (fma.f64 (fma.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (.f64 f f) (.f64 (PI.f64) #s(literal 1/4 binary64)))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))

Outputs
(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (/.f64 #s(literal 4 binary64) (neg.f64 (PI.f64))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (fma.f64 (fma.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (.f64 f f) (.f64 (PI.f64) #s(literal 1/4 binary64)))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))

soundness707.0ms (4.4%)

Memory

13.2MiB live, 541.5MiB allocated

Rules

10 552×	`lower-fma.f64`
10 552×	`lower-fma.f32`
7 296×	`lower-fma.f64`
7 296×	`lower-fma.f32`
5 074×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	381	8570
1	1261	7409
2	5414	6102
0	9982	5913
0	510	7843
1	1652	6732
2	7419	5813
0	8978	5617
0	64	284
0	107	247
1	404	226
0	3025	226
0	16	154
0	29	100
1	119	52
2	783	52
0	8561	52
0	190	1850
1	553	1668
2	2112	1484
0	9053	1459

Stop Event

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

Compiler

Compiled 366 to 169 computations (53.8% saved)

preprocess74.0ms (0.5%)

Memory: 20.3MiB live, 95.6MiB allocated
Compiler: Compiled 266 to 124 computations (53.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze210.0ms (1.3%)

sample5.8s (35.7%)

explain468.0ms (2.9%)

preprocess474.0ms (2.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify291.0ms (1.8%)

localize142.0ms (0.9%)

series139.0ms (0.9%)

simplify187.0ms (1.1%)

rewrite234.0ms (1.4%)

eval179.0ms (1.1%)

prune147.0ms (0.9%)

simplify161.0ms (1%)

localize604.0ms (3.7%)

series774.0ms (4.8%)

simplify280.0ms (1.7%)

rewrite372.0ms (2.3%)

eval555.0ms (3.4%)

prune338.0ms (2.1%)

simplify273.0ms (1.7%)

localize524.0ms (3.2%)

series101.0ms (0.6%)

simplify526.0ms (3.2%)

rewrite160.0ms (1%)

eval181.0ms (1.1%)

prune260.0ms (1.6%)

simplify182.0ms (1.1%)

localize411.0ms (2.5%)

series112.0ms (0.7%)

simplify261.0ms (1.6%)

rewrite193.0ms (1.2%)

eval300.0ms (1.8%)

prune369.0ms (2.3%)

regimes127.0ms (0.8%)

regimes46.0ms (0.3%)

regimes39.0ms (0.2%)

regimes25.0ms (0.2%)

regimes7.0ms (0%)

simplify13.0ms (0.1%)

soundness707.0ms (4.4%)

preprocess74.0ms (0.5%)

end0.0ms (0%)

Profiling