Metrics for VandenBroeck and Keller, Equation (20)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze208.0ms (1.4%)

Memory

-1.7MiB live, 235.0MiB 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)

sample7.6s (50.2%)

Memory

119.8MiB live, 6 869.0MiB allocated

Samples

3.0s	7 173×	1	invalid
2.8s	7 613×	1	valid
162.0ms	152×	2	valid
72.0ms	491×	0	valid
1.0ms	10×	0	invalid
1.0ms	9×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 5.2s

ival-exp: 1.2s (23.9% of total)

ival-div: 805.0ms (15.5% of total)

ival-log: 656.0ms (12.7% of total)

adjust: 583.0ms (11.2% of total)

ival-mult: 574.0ms (11.1% of total)

ival-pi: 477.0ms (9.2% of total)

ival-neg: 389.0ms (7.5% of total)

ival-sub: 246.0ms (4.7% of total)

ival-add: 181.0ms (3.5% of total)

exact: 16.0ms (0.3% of total)

ival-true: 13.0ms (0.3% of total)

ival-assert: 7.0ms (0.1% of total)

Bogosity

explain577.0ms (3.8%)

Memory

5.0MiB live, 837.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
247	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))))`
5	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)))))`
2	0	-	1	(79.92543387569783)	`(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))`
2	0	-	1	(79.92543387569783)	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`
1	7	(128864328.67884526)	0	-	`(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	-	`#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	247	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	8	0
`/.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	5	0
↳	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`	overflow	5
↳	`(+.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	5
↳	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`	overflow	5
↳	`(-.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	5
`exp.f64`	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`	sensitivity	1	1
`exp.f64`	`(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))`	sensitivity	1	1

Confusion

	Predicted +	Predicted -
+	254	0
-	1	1

Precision

0.996078431372549

Recall

1.0

Confusion?

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

Precision?

0.996078431372549

Recall?

1.0

Freqs

test

number	freq
0	1
1	249
2	5
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

184.0ms	478×	1	valid
11.0ms	12×	2	valid
3.0ms	22×	0	valid

Compiler

Compiled 825 to 240 computations (70.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 164.0ms

ival-div: 47.0ms (28.6% of total)

ival-exp: 34.0ms (20.7% of total)

ival-add: 19.0ms (11.6% of total)

ival-log: 19.0ms (11.6% of total)

ival-mult: 13.0ms (7.9% of total)

adjust: 12.0ms (7.3% of total)

ival-neg: 9.0ms (5.5% of total)

ival-pi: 5.0ms (3% of total)

ival-sub: 5.0ms (3% of total)

ival-true: 1.0ms (0.6% of total)

exact: 1.0ms (0.6% of total)

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

preprocess371.0ms (2.5%)

Memory

19.7MiB live, 214.4MiB allocated

Algorithm

1×	egg-herbie

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

Compiler

Compiled 37 to 16 computations (56.8% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.4%	(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

▶

6.4%

(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 37 to 16 computations (56.8% saved)

simplify216.0ms (1.4%)

Memory

12.2MiB live, 166.5MiB 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	38144	(/.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)))))

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

localize135.0ms (0.9%)

Memory

-38.8MiB live, 182.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.2449964991868809	(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	0.3834762695368841	(.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	1.492201255254126	(/.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	56.92784539556818	(-.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

109.0ms	239×	1	valid
8.0ms	6×	2	valid
2.0ms	11×	0	valid

Compiler

Compiled 394 to 34 computations (91.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

ival-exp: 41.0ms (40.5% of total)

ival-mult: 20.0ms (19.8% of total)

ival-log: 13.0ms (12.8% of total)

ival-div: 9.0ms (8.9% of total)

adjust: 6.0ms (5.9% of total)

ival-neg: 4.0ms (4% of total)

ival-pi: 3.0ms (3% of total)

ival-sub: 2.0ms (2% of total)

ival-add: 2.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series90.0ms (0.6%)

Memory

-8.5MiB live, 109.1MiB allocated

Counts

7 → 25

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))))
(.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)))))))
(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
(/ 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)
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(- (* -2 (/ (* f (* (+ (* -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))) (* 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))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(- (* f (- (* 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))))) (* 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))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(* f (- (* 1/4 (PI)) (* -1/4 (PI))))
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (* 1/122880 (pow (PI) 5)) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (+ (* 1/122880 (pow (PI) 5)) (* (pow f 2) (- (* 1/82575360 (pow (PI) 7)) (* -1/82575360 (pow (PI) 7))))) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(+ (* 2 (/ (* f (* (+ (* -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))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(+ (* 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))))))
(+ (* 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))))))))
(+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f)))
(+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* 1/2 (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))
(+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* f (+ (* 1/2 (* 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))))))) (* 1/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))
(+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* f (+ (* 1/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (+ (* 1/6 (* 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))))))))))) (* 1/2 (+ (* -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))))))))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(* -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)))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(* 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)))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))

Calls

3 calls:

Time	Variable		Point	Expression
46.0ms	f	@	inf	((/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))
35.0ms	f	@	-inf	((/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))
7.0ms	f	@	0	((/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))

Time

Variable

Point

Expression

46.0ms

inf

((/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))

35.0ms

-inf

((/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))

7.0ms

((/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))

simplify98.0ms (0.6%)

Memory

1.1MiB live, 118.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	190	926
1	553	744
2	2129	560
0	9075	535

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 25

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)
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(- (* -2 (/ (* f (* (+ (* -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))) (* 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))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(- (* f (- (* 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))))) (* 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))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(* f (- (* 1/4 (PI)) (* -1/4 (PI))))
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (* 1/122880 (pow (PI) 5)) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (+ (* 1/122880 (pow (PI) 5)) (* (pow f 2) (- (* 1/82575360 (pow (PI) 7)) (* -1/82575360 (pow (PI) 7))))) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(+ (* 2 (/ (* f (* (+ (* -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))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(+ (* 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))))))
(+ (* 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))))))))
(+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f)))
(+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* 1/2 (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))
(+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* f (+ (* 1/2 (* 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))))))) (* 1/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))
(+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* f (+ (* 1/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (+ (* 1/6 (* 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))))))))))) (* 1/2 (+ (* -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))))))))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(* -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)))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(* 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)))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))

Outputs
(/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI)))))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/ (+ (* 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)
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 0 binary64)) 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)
(/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) 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)
(/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(- (* -2 (/ (* f (* (+ (* -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))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(- (* 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))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(fma.f64 (.f64 (.f64 (/.f64 f (PI.f64)) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -2 binary64)) f (.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
(- (* f (- (* 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))))) (* 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))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(fma.f64 (.f64 (.f64 (/.f64 f (PI.f64)) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -2 binary64)) f (.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
(* f (- (* 1/4 (PI)) (* -1/4 (PI))))
(.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) f)
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) f) f (.f64 #s(literal 1/2 binary64) (PI.f64))) f)
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (* 1/122880 (pow (PI) 5)) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/61440 binary64) (.f64 f f)) (pow.f64 (PI.f64) #s(literal 5 binary64)) (.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (.f64 f f) (.f64 #s(literal 1/2 binary64) (PI.f64))) f)
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (+ (* 1/122880 (pow (PI) 5)) (* (pow f 2) (- (* 1/82575360 (pow (PI) 7)) (* -1/82575360 (pow (PI) 7))))) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/41287680 binary64) (.f64 f f)) (pow.f64 (PI.f64) #s(literal 7 binary64)) (.f64 #s(literal 1/61440 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)))) (.f64 f f))) (.f64 f f) (.f64 #s(literal 1/2 binary64) (PI.f64))) f)
(* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(+ (* 2 (/ (* f (* (+ (* -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))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(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 (/ (* 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 (.f64 #s(literal 2 binary64) f) (fma.f64 (/.f64 f (PI.f64)) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 0 binary64)) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64))))
(+ (* 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 (.f64 #s(literal 2 binary64) f) (fma.f64 (/.f64 f (PI.f64)) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 0 binary64)) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64))))
(+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f)))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* 1/2 (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* f (+ (* 1/2 (* 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))))))) (* 1/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) f) f) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)))
(+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* f (+ (* 1/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (+ (* 1/6 (* 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))))))))))) (* 1/2 (+ (* -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))))))))))))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) f) f) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))))
(* -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 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)))
(* 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 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)))))

rewrite148.0ms (1%)

Memory

21.3MiB live, 177.5MiB allocated

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

eval130.0ms (0.9%)

Memory: 10.0MiB live, 205.1MiB allocated
Compiler: Compiled 31 291 to 3 663 computations (88.3% saved)

prune27.0ms (0.2%)

Memory

-23.3MiB live, 61.2MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	729	15	744
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	730	15	745

Accuracy

99.6%

Counts

745 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.4%	(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))))
▶	99.2%	(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
▶	99.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
	96.8%	(-.f64 (/.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (PI.f64))))
	99.0%	(.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))))
	96.7%	(neg.f64 (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 4 binary64)) (.f64 (+.f64 (pow.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (+.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (.f64 (cosh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))))) (PI.f64))))
	98.9%	(neg.f64 (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
▶	97.0%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (.f64 (sinh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))))
	96.6%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 (.f64 f (PI.f64)) #s(literal 3/4 binary64)))) (exp.f64 (.f64 (.f64 f (PI.f64)) #s(literal 3/4 binary64)))) (.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f)) (expm1.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64)))) (.f64 (sinh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))))))
	97.0%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (sinh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
	99.0%	(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 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
	96.2%	(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 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
▶	95.7%	(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 4 binary64) (PI.f64)) f)))))
▶	96.3%	#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)))))))) (fma.f64 (.f64 (.f64 (/.f64 f (PI.f64)) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -2 binary64)) f (.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))))
	95.8%	#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 1 040 to 618 computations (40.6% saved)

simplify168.0ms (1.1%)

Memory

35.6MiB live, 190.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (PI.f64) #s(literal 4 binary64))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (.f64 (sinh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))))
cost-diff	128	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (.f64 (sinh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff	320	(.f64 (.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64))
cost-diff	512	(.f64 (.f64 (/.f64 f (PI.f64)) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -2 binary64))
cost-diff	704	(fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (*.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64)))
cost-diff	1024	(.f64 (/.f64 f (PI.f64)) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (PI.f64))))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 #s(literal 1/4 binary64) (PI.f64))
cost-diff	0	(/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
cost-diff	0	(/.f64 (PI.f64) #s(literal 4 binary64))
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 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
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 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
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	(tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))
cost-diff	0	(log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
cost-diff	0	(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	66	656
0	110	642
1	225	583
2	599	556
3	2015	537
4	4506	528
5	7400	528
0	8136	528

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
(tanh.f64 (.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)
(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 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 (/.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 (/.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 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/.f64 #s(literal 4 binary64) (PI.f64))
f
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
#s(literal 1 binary64)
(/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(PI.f64)
(log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
(tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))
(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
f
#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)))))))) (fma.f64 (.f64 (.f64 (/.f64 f (PI.f64)) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -2 binary64)) f (.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))))
(fma.f64 (.f64 (.f64 (/.f64 f (PI.f64)) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -2 binary64)) f (.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
(.f64 (.f64 (/.f64 f (PI.f64)) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -2 binary64))
(.f64 (/.f64 f (PI.f64)) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.f64 f (PI.f64))
f
(PI.f64)
(.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (*.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64)))
#s(literal -2 binary64)
(.f64 (.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64))
(.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (PI.f64) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/192 binary64)
(.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))
(*.f64 #s(literal 1/16 binary64) (PI.f64))
#s(literal 1/16 binary64)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(*.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)
(log.f64 f)
(/.f64 #s(literal -4 binary64) (PI.f64))
#s(literal -4 binary64)
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (.f64 (sinh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (.f64 (sinh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 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)
(-.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (.f64 (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))
(log.f64 (.f64 (cosh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))
(.f64 (cosh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))
(cosh.f64 (.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)
#s(literal 2 binary64)
(log.f64 (.f64 (sinh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))
(.f64 (sinh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))
(sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))

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

localize407.0ms (2.7%)

Memory

-15.6MiB live, 489.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.203125	(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy	0.3834762695368841	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (.f64 (sinh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))))
accuracy	0.47597026097182216	(-.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (.f64 (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))
accuracy	1.2109080192407735	(PI.f64)
accuracy	0.98046875	(.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
accuracy	0.98046875	(.f64 (.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64))
accuracy	1.2109080192407735	(PI.f64)
accuracy	1.9609375	(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
accuracy	0.25945134183586954	(log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
accuracy	0.30078125	(/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
accuracy	0.32421875	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
accuracy	1.2109080192407735	(PI.f64)
accuracy	0.37890625	(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
accuracy	0.3834762695368841	(.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 4 binary64) (PI.f64)) f))))
accuracy	1.1189124136059545	#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
accuracy	1.2109080192407735	(PI.f64)
accuracy	0.203125	(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy	0.25945134183586954	(log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
accuracy	0.265625	(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy	1.2109080192407735	(PI.f64)

Samples

230.0ms	239×	1	valid
101.0ms	5×	5	exit
5.0ms	11×	0	valid
2.0ms	1×	2	valid

Compiler

Compiled 1 258 to 130 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 283.0ms

ival-log: 84.0ms (29.7% of total)

ival-mult: 59.0ms (20.9% of total)

adjust: 33.0ms (11.7% of total)

ival-div: 30.0ms (10.6% of total)

ival-exp: 22.0ms (7.8% of total)

ival-cosh: 10.0ms (3.5% of total)

ival-tanh: 8.0ms (2.8% of total)

ival-neg: 7.0ms (2.5% of total)

ival-sub: 7.0ms (2.5% of total)

ival-add: 7.0ms (2.5% of total)

ival-sinh: 7.0ms (2.5% of total)

const: 4.0ms (1.4% of total)

ival-pi: 4.0ms (1.4% of total)

exact: 1.0ms (0.4% of total)

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

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

series205.0ms (1.4%)

Memory

27.7MiB live, 217.7MiB allocated

Counts

23 → 53

Calls

Call 1

Inputs
(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
(tanh.f64 (.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)))
(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 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 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(/.f64 (PI.f64) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(PI.f64)
(.f64 (/.f64 f (PI.f64)) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (PI.f64))))
(fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (*.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64)))
(.f64 (.f64 (/.f64 f (PI.f64)) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -2 binary64))
(.f64 (.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (.f64 (sinh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (.f64 (sinh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
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(+ (* 4 (/ (- (log 2) (+ (log f) (log (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* f (+ (* 4 (- (+ (* -1/32 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/16 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* 1/32 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* f (+ (* 4 (* f (- (* -1/2 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))) (PI))) (* 1/6 (/ (+ (* -6 (/ (* (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (+ (* 2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 6 (/ (- (* 1/6144 (pow (PI) 4)) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/6144 (pow (PI) 4)) (* 1/1536 (pow (PI) 4)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (PI)))))) (* 4 (- (* 1/32 (PI)) (* 1/2 (/ (+ (* -1 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))))))))))
(/ 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)
(/ 4 (* f (PI)))
(- (log 2) (+ (log f) (log (- (* 1/4 (PI)) (* -1/4 (PI))))))
(- (+ (log 2) (* f (- (+ (* -1/32 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* 1/32 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI)))))))) (+ (log f) (log (- (* 1/4 (PI)) (* -1/4 (PI))))))
(- (+ (log 2) (* f (- (+ (* -1/32 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/32 (pow (PI) 2)) (* 1/2 (+ (* -1 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))) (* 1/32 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI)))))))) (+ (log f) (log (- (* 1/4 (PI)) (* -1/4 (PI))))))
(- (+ (log 2) (* f (- (+ (* -1/32 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/32 (pow (PI) 2)) (* f (- (* -1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3)))) (* 1/6 (+ (* -6 (/ (* (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (+ (* 2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 6 (/ (- (* 1/6144 (pow (PI) 4)) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/6144 (pow (PI) 4)) (* 1/1536 (pow (PI) 4)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))) (* 1/2 (+ (* -1 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))) (* 1/32 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI)))))))) (+ (log f) (log (- (* 1/4 (PI)) (* -1/4 (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 (/ (- (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 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* 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)))
(* 1/4 (/ (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 (/ (- (log (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (log (- (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))))))) (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(- (log (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))

Calls

3 calls:

Time	Variable		Point	Expression
109.0ms	f	@	inf	((/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* f (* 1/4 (PI))) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ (PI) 4) (/ 1 (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI))))))) (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (* 1/4 (PI)) (PI) (* (/ f (PI)) (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) (* 1/2 (PI)))) (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) (* (* (/ f (PI)) (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) (* 1/2 (PI)))) -2) (* (* (* (PI) 2) 2) 1/192) (neg (* (/ 1 (/ (PI) 4)) (- (log (* (cosh (* f (* 1/4 (PI)))) 2)) (log (* (sinh (* f (* 1/4 (PI)))) 2))))) (* (/ 1 (/ (PI) 4)) (- (log (* (cosh (* f (* 1/4 (PI)))) 2)) (log (* (sinh (* f (* 1/4 (PI)))) 2)))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (/ 4 (PI)) f) (log (/ 4 (PI))) (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) (* 1/2 (PI))) (- (log (* (cosh (* f (* 1/4 (PI)))) 2)) (log (* (sinh (* f (* 1/4 (PI)))) 2))))
76.0ms	f	@	-inf	((/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* f (* 1/4 (PI))) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ (PI) 4) (/ 1 (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI))))))) (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (* 1/4 (PI)) (PI) (* (/ f (PI)) (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) (* 1/2 (PI)))) (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) (* (* (/ f (PI)) (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) (* 1/2 (PI)))) -2) (* (* (* (PI) 2) 2) 1/192) (neg (* (/ 1 (/ (PI) 4)) (- (log (* (cosh (* f (* 1/4 (PI)))) 2)) (log (* (sinh (* f (* 1/4 (PI)))) 2))))) (* (/ 1 (/ (PI) 4)) (- (log (* (cosh (* f (* 1/4 (PI)))) 2)) (log (* (sinh (* f (* 1/4 (PI)))) 2)))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (/ 4 (PI)) f) (log (/ 4 (PI))) (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) (* 1/2 (PI))) (- (log (* (cosh (* f (* 1/4 (PI)))) 2)) (log (* (sinh (* f (* 1/4 (PI)))) 2))))
16.0ms	f	@	0	((/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* f (* 1/4 (PI))) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ (PI) 4) (/ 1 (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI))))))) (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (* 1/4 (PI)) (PI) (* (/ f (PI)) (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) (* 1/2 (PI)))) (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) (* (* (/ f (PI)) (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) (* 1/2 (PI)))) -2) (* (* (* (PI) 2) 2) 1/192) (neg (* (/ 1 (/ (PI) 4)) (- (log (* (cosh (* f (* 1/4 (PI)))) 2)) (log (* (sinh (* f (* 1/4 (PI)))) 2))))) (* (/ 1 (/ (PI) 4)) (- (log (* (cosh (* f (* 1/4 (PI)))) 2)) (log (* (sinh (* f (* 1/4 (PI)))) 2)))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (/ 4 (PI)) f) (log (/ 4 (PI))) (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) (* 1/2 (PI))) (- (log (* (cosh (* f (* 1/4 (PI)))) 2)) (log (* (sinh (* f (* 1/4 (PI)))) 2))))

Time

Variable

Point

Expression

109.0ms

inf

((/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* f (* 1/4 (PI))) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ (PI) 4) (/ 1 (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI))))))) (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (* 1/4 (PI)) (PI) (* (/ f (PI)) (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) (* 1/2 (PI)))) (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) (* (* (/ f (PI)) (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) (* 1/2 (PI)))) -2) (* (* (* (PI) 2) 2) 1/192) (neg (* (/ 1 (/ (PI) 4)) (- (log (* (cosh (* f (* 1/4 (PI)))) 2)) (log (* (sinh (* f (* 1/4 (PI)))) 2))))) (* (/ 1 (/ (PI) 4)) (- (log (* (cosh (* f (* 1/4 (PI)))) 2)) (log (* (sinh (* f (* 1/4 (PI)))) 2)))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (/ 4 (PI)) f) (log (/ 4 (PI))) (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) (* 1/2 (PI))) (- (log (* (cosh (* f (* 1/4 (PI)))) 2)) (log (* (sinh (* f (* 1/4 (PI)))) 2))))

76.0ms

-inf

((/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* f (* 1/4 (PI))) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ (PI) 4) (/ 1 (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI))))))) (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (* 1/4 (PI)) (PI) (* (/ f (PI)) (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) (* 1/2 (PI)))) (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) (* (* (/ f (PI)) (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) (* 1/2 (PI)))) -2) (* (* (* (PI) 2) 2) 1/192) (neg (* (/ 1 (/ (PI) 4)) (- (log (* (cosh (* f (* 1/4 (PI)))) 2)) (log (* (sinh (* f (* 1/4 (PI)))) 2))))) (* (/ 1 (/ (PI) 4)) (- (log (* (cosh (* f (* 1/4 (PI)))) 2)) (log (* (sinh (* f (* 1/4 (PI)))) 2)))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (/ 4 (PI)) f) (log (/ 4 (PI))) (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) (* 1/2 (PI))) (- (log (* (cosh (* f (* 1/4 (PI)))) 2)) (log (* (sinh (* f (* 1/4 (PI)))) 2))))

16.0ms

((/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* f (* 1/4 (PI))) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ (PI) 4) (/ 1 (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI))))))) (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (* 1/4 (PI)) (PI) (* (/ f (PI)) (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) (* 1/2 (PI)))) (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) (* (* (/ f (PI)) (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) (* 1/2 (PI)))) -2) (* (* (* (PI) 2) 2) 1/192) (neg (* (/ 1 (/ (PI) 4)) (- (log (* (cosh (* f (* 1/4 (PI)))) 2)) (log (* (sinh (* f (* 1/4 (PI)))) 2))))) (* (/ 1 (/ (PI) 4)) (- (log (* (cosh (* f (* 1/4 (PI)))) 2)) (log (* (sinh (* f (* 1/4 (PI)))) 2)))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (/ 4 (PI)) f) (log (/ 4 (PI))) (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) (* 1/2 (PI))) (- (log (* (cosh (* f (* 1/4 (PI)))) 2)) (log (* (sinh (* f (* 1/4 (PI)))) 2))))

simplify130.0ms (0.9%)

Memory

9.9MiB live, 122.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	448	3242
1	1502	2477
2	6466	1832
0	8882	1707

Stop Event

1×	iter limit
1×	node limit

Counts

53 → 53

Calls

Call 1

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

rewrite214.0ms (1.4%)

Memory

6.1MiB live, 238.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	349
0	92	231
1	332	209
2	2156	209
0	8553	209

Stop Event

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

Counts

23 → 1 144

Calls

Call 1

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

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

eval415.0ms (2.7%)

Memory: 13.7MiB live, 436.0MiB allocated
Compiler: Compiled 83 901 to 8 029 computations (90.4% saved)

prune150.0ms (1%)

Memory

-28.8MiB live, 122.1MiB allocated

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	1 856	14	1 870
Fresh	5	5	10
Picked	4	1	5
Done	0	0	0
Total	1 865	20	1 885

Accuracy

100.0%

Counts

1 885 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.4%	(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))))
	8.8%	(/.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f)))) (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
	98.6%	(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))))
✓	99.2%	(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
▶	95.9%	(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
	95.9%	(/.f64 #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f))) (.f64 #s(literal 1/4 binary64) (PI.f64)))
▶	98.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))))
	95.7%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
▶	95.7%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) #s(approx (log (tanh ( f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f)))))
	98.9%	(/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64)))))))
	95.7%	(.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 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
	95.2%	(neg.f64 (.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) #s(literal 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 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
	98.9%	(neg.f64 (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
▶	99.0%	(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 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
	96.2%	(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 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
▶	95.7%	(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 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f)))))
	94.3%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (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 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
	94.9%	#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)))))))) (fma.f64 (.f64 (.f64 (/.f64 f (PI.f64)) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -2 binary64)) f (.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))))
	96.3%	#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)))))))) (fma.f64 #s(approx (* (* (/ f (PI)) (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) (* 1/2 (PI)))) -2) (.f64 (.f64 (PI.f64) f) #s(literal -1/12 binary64))) f (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))))
	95.8%	#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 1 313 to 814 computations (38% saved)

simplify127.0ms (0.8%)

Memory

-1.1MiB live, 75.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))
cost-diff	0	(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))))
cost-diff	1600	(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 #s(literal 1/4 binary64) (PI.f64))
cost-diff	0	(/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) #s(approx (log (tanh ( f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) #s(approx (log (tanh ( f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 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 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f))))
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 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff	1600	(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
cost-diff	0	(.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))
cost-diff	0	#s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))
cost-diff	0	(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))
cost-diff	0	(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
cost-diff	128	(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 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
cost-diff	576	(log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	50	484
0	82	441
1	167	410
2	386	409
3	1208	409
4	3392	409
5	5006	333
6	6964	333
0	8090	333

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

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

localize509.0ms (3.4%)

Memory

-0.7MiB live, 304.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.32421875	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))))
accuracy	0.98046875	(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
accuracy	0.98046875	(sqrt.f64 (PI.f64))
accuracy	1.2109080192407735	(PI.f64)
accuracy	0.32421875	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) #s(approx (log (tanh ( f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f)))))
accuracy	1.170692685956948	#s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f)))
accuracy	1.2109080192407735	(PI.f64)
accuracy	1.5540062018789405	(log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy	0.98046875	(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
accuracy	0.98046875	(sqrt.f64 (PI.f64))
accuracy	1.1189124136059545	#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f))
accuracy	1.2109080192407735	(PI.f64)
accuracy	0.25945134183586954	(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))
accuracy	0.265625	(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy	1.120584632970618	#s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))
accuracy	1.2109080192407735	(PI.f64)
accuracy	0.2449964991868809	(log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))
accuracy	0.27734375	(/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
accuracy	0.3834762695368841	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
accuracy	1.2109080192407735	(PI.f64)

Samples

331.0ms	239×	1	valid
107.0ms	5×	5	exit
4.0ms	11×	0	valid
2.0ms	1×	2	valid

Compiler

Compiled 888 to 94 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 343.0ms

ival-log: 82.0ms (23.9% of total)

ival-exp: 54.0ms (15.7% of total)

ival-mult: 54.0ms (15.7% of total)

ival-pi: 40.0ms (11.7% of total)

ival-div: 33.0ms (9.6% of total)

ival-tanh: 32.0ms (9.3% of total)

adjust: 31.0ms (9% of total)

ival-neg: 6.0ms (1.7% of total)

ival-add: 5.0ms (1.5% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series265.0ms (1.8%)

Memory

22.9MiB live, 186.0MiB allocated

Counts

23 → 55

Calls

Call 1

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

Outputs
(+ (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))))))))))))))
(* -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 (- (* f (- (* -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))) (* 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))))) (* -8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))) (* 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))))
(+ (* 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) (+ (* -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))))))
(+ (* 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 (* (+ (* -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))) (* 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))))))))
(* 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))))))))
(+ (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)))))))
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(/ 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))))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(* -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)))
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(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))

Calls

3 calls:

Time

Variable

Point

Expression

145.0ms

inf

((/ 1 (/ (PI) 4)) (log (/ 1 (tanh (* f (* 1/4 (PI)))))) (neg (* (/ 1 (/ (PI) 4)) (log (/ 1 (tanh (* f (* 1/4 (PI)))))))) (* (/ 1 (/ (PI) 4)) (log (/ 1 (tanh (* f (* 1/4 (PI))))))) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* (* (PI) f) 1/4) (* (sqrt (PI)) (sqrt (PI))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI))))))) (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (* 1/4 (PI)) (PI) (/ 1 (/ (* 1/4 (* (sqrt (PI)) (sqrt (PI)))) (log (tanh (* f (* 1/4 (PI))))))) (/ (* 1/4 (* (sqrt (PI)) (sqrt (PI)))) (log (tanh (* f (* 1/4 (PI)))))) (* 1/4 (* (sqrt (PI)) (sqrt (PI)))) (/ 1 (tanh (* f (* 1/4 (PI))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (sqrt (PI)) (log (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))))

108.0ms

-inf

((/ 1 (/ (PI) 4)) (log (/ 1 (tanh (* f (* 1/4 (PI)))))) (neg (* (/ 1 (/ (PI) 4)) (log (/ 1 (tanh (* f (* 1/4 (PI)))))))) (* (/ 1 (/ (PI) 4)) (log (/ 1 (tanh (* f (* 1/4 (PI))))))) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* (* (PI) f) 1/4) (* (sqrt (PI)) (sqrt (PI))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI))))))) (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (* 1/4 (PI)) (PI) (/ 1 (/ (* 1/4 (* (sqrt (PI)) (sqrt (PI)))) (log (tanh (* f (* 1/4 (PI))))))) (/ (* 1/4 (* (sqrt (PI)) (sqrt (PI)))) (log (tanh (* f (* 1/4 (PI)))))) (* 1/4 (* (sqrt (PI)) (sqrt (PI)))) (/ 1 (tanh (* f (* 1/4 (PI))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (sqrt (PI)) (log (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))))

8.0ms

((/ 1 (/ (PI) 4)) (log (/ 1 (tanh (* f (* 1/4 (PI)))))) (neg (* (/ 1 (/ (PI) 4)) (log (/ 1 (tanh (* f (* 1/4 (PI)))))))) (* (/ 1 (/ (PI) 4)) (log (/ 1 (tanh (* f (* 1/4 (PI))))))) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* (* (PI) f) 1/4) (* (sqrt (PI)) (sqrt (PI))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI))))))) (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (* 1/4 (PI)) (PI) (/ 1 (/ (* 1/4 (* (sqrt (PI)) (sqrt (PI)))) (log (tanh (* f (* 1/4 (PI))))))) (/ (* 1/4 (* (sqrt (PI)) (sqrt (PI)))) (log (tanh (* f (* 1/4 (PI)))))) (* 1/4 (* (sqrt (PI)) (sqrt (PI)))) (/ 1 (tanh (* f (* 1/4 (PI))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (sqrt (PI)) (log (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))))

simplify144.0ms (1%)

Memory

-11.0MiB live, 156.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	418	3858
1	1374	2915
2	6183	1987
0	9076	1833

Stop Event

1×	iter limit
1×	node limit

Counts

55 → 55

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

rewrite208.0ms (1.4%)

Memory

-1.9MiB live, 158.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	50	341
0	82	232
1	311	226
2	1768	226
0	8568	226

Stop Event

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

Counts

23 → 1 052

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal -2 binary64)) (pow.f64 (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))))
(.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64)) #s(literal -4 binary64))
(*.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) #s(literal 4 binary64))
(*.f64 #s(literal -4 binary64) (pow.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1 binary64))
(*.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (PI.f64)))
(pow.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (neg.f64 (cbrt.f64 (PI.f64))))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(/.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal -1 binary64))) #s(literal -1/4 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) #s(literal -1 binary64))
(/.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) #s(literal 1/4 binary64))
(/.f64 #s(literal -4 binary64) (neg.f64 (neg.f64 (neg.f64 (PI.f64)))))
(/.f64 #s(literal -4 binary64) (neg.f64 (PI.f64)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1 binary64))
(/.f64 #s(literal 4 binary64) (neg.f64 (neg.f64 (PI.f64))))
(/.f64 #s(literal 4 binary64) (PI.f64))
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal 4 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(neg.f64 (/.f64 #s(literal -4 binary64) (PI.f64)))
(exp.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))
(.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 2 binary64))) (pow.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))))))
(.f64 #s(literal -1 binary64) (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal -1 binary64))
(.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 #s(literal -2 binary64) (cosh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal 3 binary64))) (fma.f64 (log.f64 (.f64 #s(literal -2 binary64) (cosh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (log.f64 (.f64 #s(literal -2 binary64) (cosh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (fma.f64 (log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (.f64 (log.f64 (.f64 #s(literal -2 binary64) (cosh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64)) (fma.f64 (log.f64 (neg.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (log.f64 (neg.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 (cosh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (log.f64 (.f64 (cosh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal 2 binary64))) (log.f64 (.f64 (cosh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal 2 binary64))) (fma.f64 (log.f64 (.f64 (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal 2 binary64))) (log.f64 (.f64 (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal 2 binary64))) (.f64 (log.f64 (.f64 (cosh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal 2 binary64))) (log.f64 (.f64 (sinh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (.f64 (cosh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal 3 binary64))) (fma.f64 (log.f64 (.f64 (cosh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal 2 binary64))) (log.f64 (.f64 (cosh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal 2 binary64))) (-.f64 (.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))) (.f64 (log.f64 (.f64 (cosh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 2 binary64))) (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))))
(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal -1 binary64))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
(neg.f64 (log.f64 (neg.f64 (neg.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))))
(neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 2 binary64))) (pow.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 (.f64 (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal 2 binary64))) (log.f64 (.f64 (cosh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 0 binary64))
(fma.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal 0 binary64))
(-.f64 (/.f64 (log.f64 (.f64 #s(literal -2 binary64) (cosh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal 1 binary64)) (/.f64 (log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (log.f64 (neg.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (log.f64 (.f64 (cosh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (log.f64 (.f64 (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (/.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 2 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))))) (/.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))))))
(-.f64 (log.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal -1/4 binary64)) (.f64 f #s(literal 3 binary64))) (pow.f64 (pow.f64 (exp.f64 f) #s(literal 1/4 binary64)) (.f64 (PI.f64) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))) (log.f64 (+.f64 (expm1.f64 (.f64 (.f64 (.f64 f (PI.f64)) #s(literal -1/4 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) f))))
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(*.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(pow.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(sqrt.f64 (PI.f64))
(fabs.f64 (neg.f64 (sqrt.f64 (PI.f64))))
(fabs.f64 (sqrt.f64 (PI.f64)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(*.f64 (-.f64 (pow.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)))))
(.f64 (+.f64 (pow.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 #s(literal 1/4 binary64)) (log.f64 #s(literal 1/4 binary64)) (-.f64 (pow.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 1/4 binary64)) (log.f64 (PI.f64)))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))
(.f64 #s(literal 1 binary64) (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))))
(/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal -4 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 (neg.f64 (PI.f64))) (log.f64 (neg.f64 (PI.f64))) (fma.f64 (log.f64 #s(literal -4 binary64)) (log.f64 #s(literal -4 binary64)) (*.f64 (log.f64 (neg.f64 (PI.f64))) (log.f64 #s(literal -4 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 4 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 (PI.f64)) (log.f64 (PI.f64)) (fma.f64 (log.f64 #s(literal 4 binary64)) (log.f64 #s(literal 4 binary64)) (*.f64 (log.f64 (PI.f64)) (log.f64 #s(literal 4 binary64))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))) (log.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))) (-.f64 (.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 (sqrt.f64 (PI.f64)))) (.f64 (log.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))) (log.f64 (sqrt.f64 (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 (PI.f64)) (log.f64 (PI.f64)) (-.f64 (pow.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 (PI.f64)) (log.f64 #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)))) (neg.f64 (log.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(literal 1/4 binary64)) (log.f64 #s(literal 1/4 binary64)) (-.f64 (pow.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 1/4 binary64)) (log.f64 (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 1/4 binary64)) (log.f64 #s(literal 1/4 binary64)) (-.f64 (pow.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 1/4 binary64)) (log.f64 (PI.f64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64))) (-.f64 (pow.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 #s(literal 1/4 binary64)) (log.f64 #s(literal 1/4 binary64)) (-.f64 (pow.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 1/4 binary64)) (log.f64 (PI.f64))))) (+.f64 (pow.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))))
(neg.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))
(fma.f64 (-.f64 (pow.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 0 binary64))
(fma.f64 (+.f64 (pow.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 #s(literal 1/4 binary64)) (log.f64 #s(literal 1/4 binary64)) (-.f64 (pow.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 1/4 binary64)) (log.f64 (PI.f64)))))) #s(literal 0 binary64))
(fma.f64 #s(literal 1/3 binary64) (log.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (log.f64 #s(literal 1/4 binary64)))
(fma.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64) (log.f64 #s(literal 1/4 binary64)))
(fma.f64 #s(literal 3 binary64) (log.f64 (cbrt.f64 (PI.f64))) (log.f64 #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (PI.f64) (PI.f64))) (log.f64 #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 0 binary64))
(fma.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(fma.f64 (log.f64 (PI.f64)) #s(literal 1 binary64) (log.f64 #s(literal 1/4 binary64)))
(fma.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (PI.f64))) (log.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(fma.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (PI.f64))) (log.f64 #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/4 binary64) (log.f64 (.f64 (PI.f64) (PI.f64))) (log.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(fma.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 (PI.f64))) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(fma.f64 #s(literal 1 binary64) (log.f64 (PI.f64)) (log.f64 #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) #s(literal 0 binary64))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)))) (/.f64 (pow.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)))))
(-.f64 (log.f64 (neg.f64 (neg.f64 (PI.f64)))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64))) (log.f64 #s(literal -1 binary64)))
(-.f64 (log.f64 (neg.f64 (PI.f64))) (log.f64 #s(literal -4 binary64)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))
(-.f64 (log.f64 (PI.f64)) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 #s(literal 1/4 binary64)) (neg.f64 (log.f64 (PI.f64))))
(-.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) #s(literal 0 binary64))
(+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (PI.f64))))
(+.f64 (log.f64 #s(literal -1/4 binary64)) (log.f64 (neg.f64 (PI.f64))))
(+.f64 (log.f64 (neg.f64 (PI.f64))) (log.f64 #s(literal -1/4 binary64)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64))))
(+.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))) (log.f64 (sqrt.f64 (PI.f64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (log.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(+.f64 (log.f64 (sqrt.f64 (PI.f64))) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(+.f64 #s(literal 0 binary64) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(+.f64 (log.f64 (PI.f64)) (log.f64 #s(literal 1/4 binary64)))
(+.f64 (log.f64 #s(literal 1/4 binary64)) (log.f64 (PI.f64)))
(+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) #s(literal 0 binary64))
(log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))
#s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))

eval310.0ms (2%)

Memory: 17.8MiB live, 249.8MiB allocated
Compiler: Compiled 37 356 to 4 853 computations (87% saved)

prune143.0ms (0.9%)

Memory

-25.2MiB live, 107.3MiB allocated

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	1 275	15	1 290
Fresh	9	5	14
Picked	4	1	5
Done	0	1	1
Total	1 288	22	1 310

Accuracy

100.0%

Counts

1 310 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.4%	(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))))
	8.8%	(/.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f)))) (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
	95.5%	(/.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) #s(approx (log (tanh ( f (* 1/4 (PI))))) (log.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (sqrt.f64 (PI.f64)))
✓	99.2%	(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
	95.9%	(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (.f64 #s(literal 1/4 binary64) (PI.f64)))
▶	94.6%	(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))))
✓	95.9%	(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
	95.7%	(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
▶	95.5%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) #s(approx (log (tanh ( f (* 1/4 (PI))))) (log.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))))
	95.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (PI.f64))))
	95.6%	(/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (/.f64 #s(literal 1/4 binary64) #s(approx (log (tanh ( f (* 1/4 (PI))))) (log.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))))
▶	95.7%	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
	95.7%	(.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
	98.1%	(neg.f64 (/.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (neg.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))))
	95.6%	(neg.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (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 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (sqrt.f64 (PI.f64)))))
▶	99.0%	(neg.f64 (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
	95.7%	(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 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f)))))
	96.2%	(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 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
	94.3%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (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 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
	98.5%	(neg.f64 (.f64 (.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (PI.f64))))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))))
▶	95.2%	(neg.f64 (.f64 (.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (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 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f)))))
	96.3%	#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)))))))) (fma.f64 #s(approx (* (* (/ f (PI)) (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) (* 1/2 (PI)))) -2) (.f64 (.f64 (PI.f64) f) #s(literal -1/12 binary64))) f (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))))

Compiler

Compiled 1 266 to 836 computations (34% saved)

simplify118.0ms (0.8%)

Memory

-2.3MiB live, 156.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	128	(neg.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
cost-diff	128	(neg.f64 (.f64 (.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (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 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f)))))
cost-diff	1600	(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
cost-diff	2304	(*.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (PI.f64)))))
cost-diff	0	(PI.f64)
cost-diff	0	(sqrt.f64 (PI.f64))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) #s(approx (log (tanh ( f (* 1/4 (PI))))) (log.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))))
cost-diff	1984	(/.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) #s(approx (log (tanh ( f (* 1/4 (PI))))) (log.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
cost-diff	0	#s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))
cost-diff	0	(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))
cost-diff	0	(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))))
cost-diff	1600	(.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64)))
cost-diff	0	(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (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 ( f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
cost-diff	0	(/.f64 #s(literal 4 binary64) (PI.f64))
cost-diff	128	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
cost-diff	128	(neg.f64 (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
cost-diff	576	(log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	536
0	91	486
1	191	463
2	513	449
3	1473	373
4	3920	373
5	6972	373
0	8156	373

Stop Event

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

Calls

Call 1

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

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

localize678.0ms (4.5%)

Memory

7.0MiB live, 552.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.98046875	(*.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (PI.f64)))))
accuracy	0.98046875	(sqrt.f64 (PI.f64))
accuracy	1.1189124136059545	#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f))
accuracy	1.2109080192407735	(PI.f64)
accuracy	0.34765625	(/.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) #s(approx (log (tanh ( f (* 1/4 (PI))))) (log.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
accuracy	0.98046875	(sqrt.f64 (PI.f64))
accuracy	1.170692685956948	#s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
accuracy	1.2109080192407735	(PI.f64)
accuracy	0.98046875	(.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64)))
accuracy	0.98046875	(sqrt.f64 (PI.f64))
accuracy	1.120584632970618	#s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))
accuracy	1.2109080192407735	(PI.f64)
accuracy	0.25945134183586954	(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
accuracy	0.3834762695368841	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
accuracy	1.120584632970618	#s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))
accuracy	1.2109080192407735	(PI.f64)
accuracy	0.2449964991868809	(log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))
accuracy	0.27734375	(/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
accuracy	0.3834762695368841	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
accuracy	1.2109080192407735	(PI.f64)

Samples

509.0ms	239×	1	valid
76.0ms	5×	5	exit
24.0ms	11×	0	valid
2.0ms	1×	2	valid

Compiler

Compiled 970 to 104 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 263.0ms

ival-log: 79.0ms (30.1% of total)

ival-neg: 51.0ms (19.4% of total)

ival-mult: 46.0ms (17.5% of total)

ival-div: 34.0ms (12.9% of total)

ival-exp: 22.0ms (8.4% of total)

adjust: 10.0ms (3.8% of total)

ival-tanh: 8.0ms (3% of total)

ival-sqrt: 5.0ms (1.9% of total)

ival-pi: 3.0ms (1.1% of total)

ival-add: 3.0ms (1.1% of total)

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

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

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

exact: 0.0ms (0% of total)

series61.0ms (0.4%)

Memory

14.2MiB live, 134.9MiB allocated

Counts

22 → 50

Calls

Call 1

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

Outputs
(+ (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))))))))))))))
(* -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 (- (* f (- (* -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))) (* 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))))) (* -8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))) (* 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))))
(+ (* 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) (+ (* -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))))))
(+ (* 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 (* (+ (* -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))) (* 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))))))))
(* 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))))))))
(+ (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)))))))))))
(* 1/4 (* f (PI)))
(* f (+ (* 1/4 (PI)) (* 1/2 (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))))))
(* f (+ (* 1/4 (PI)) (* f (+ (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 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 (+ (* 1/4 (PI)) (* f (+ (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 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))))) (* 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))))))))) (* 1/128 (pow (PI) 3))))))))
(* 1/4 (/ (PI) (+ (log f) (log (* 1/4 (PI))))))
(+ (* -1/2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (+ (log f) (log (* 1/4 (PI)))) 2))) (* 1/4 (/ (PI) (+ (log f) (log (* 1/4 (PI)))))))
(+ (* 1/4 (/ (PI) (+ (log f) (log (* 1/4 (PI)))))) (* f (+ (* -1/2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (+ (log f) (log (* 1/4 (PI)))) 2))) (* -1/4 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (* (PI) (pow (+ (log f) (log (* 1/4 (PI)))) 3)))) (* 1/2 (/ (* (PI) (+ (* -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))))) (pow (+ (log f) (log (* 1/4 (PI)))) 2)))))))))
(+ (* 1/4 (/ (PI) (+ (log f) (log (* 1/4 (PI)))))) (* f (+ (* -1/2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (+ (log f) (log (* 1/4 (PI)))) 2))) (* f (+ (* -1/4 (* f (+ (* -2 (/ (* (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (* (PI) (pow (+ (log f) (log (* 1/4 (PI)))) 3)))) (* 1/2 (/ (* (PI) (+ (* -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))))) (pow (+ (log f) (log (* 1/4 (PI)))) 2)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* (PI) (+ (log f) (log (* 1/4 (PI))))))) (+ (* -1 (/ (* (+ (* -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)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (+ (log f) (log (* 1/4 (PI)))) 3))) (* 1/6 (/ (* (PI) (+ (* -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)))))) (pow (+ (log f) (log (* 1/4 (PI)))) 2))))))) (* -1/4 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (* (PI) (pow (+ (log f) (log (* 1/4 (PI)))) 3)))) (* 1/2 (/ (* (PI) (+ (* -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))))) (pow (+ (log f) (log (* 1/4 (PI)))) 2))))))))))
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(- (* -2 (/ (* f (* (+ (* -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))) (* 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))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(- (* f (- (* 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))))) (* 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))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log 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)
(/ 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)
(log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (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 (/ (- (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)))))))
(* 1/4 (/ (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 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 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)))))))

Calls

3 calls:

Time

Variable

Point

Expression

28.0ms

-inf

((log (/ 1 (tanh (* f (* 1/4 (PI)))))) (neg (* (/ 4 (PI)) (log (/ 1 (tanh (* f (* 1/4 (PI)))))))) (* (/ 4 (PI)) (log (/ 1 (tanh (* f (* 1/4 (PI))))))) (/ 4 (PI)) (* (/ 4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (PI) (log (tanh (* f (* 1/4 (PI))))) (* (* (sqrt (PI)) 1/4) (sqrt (PI))) (/ (log (tanh (* f (* 1/4 (PI))))) (* (* (sqrt (PI)) 1/4) (sqrt (PI)))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (/ (sqrt (PI)) (* (/ 4 (sqrt (PI))) (log (tanh (* f (* 1/4 (PI))))))) (/ 1 (/ (sqrt (PI)) (* (/ 4 (sqrt (PI))) (log (tanh (* f (* 1/4 (PI)))))))) (sqrt (PI)) (* (neg (/ 4 (sqrt (PI)))) (/ 1 (neg (sqrt (PI))))) (* (sqrt (PI)) (sqrt (PI))) (neg (* (* (neg (/ 4 (sqrt (PI)))) (/ 1 (neg (sqrt (PI))))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (neg (/ 4 (sqrt (PI)))) (/ 1 (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (log (tanh (* f (* 1/4 (PI))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))

26.0ms

inf

((log (/ 1 (tanh (* f (* 1/4 (PI)))))) (neg (* (/ 4 (PI)) (log (/ 1 (tanh (* f (* 1/4 (PI)))))))) (* (/ 4 (PI)) (log (/ 1 (tanh (* f (* 1/4 (PI))))))) (/ 4 (PI)) (* (/ 4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (PI) (log (tanh (* f (* 1/4 (PI))))) (* (* (sqrt (PI)) 1/4) (sqrt (PI))) (/ (log (tanh (* f (* 1/4 (PI))))) (* (* (sqrt (PI)) 1/4) (sqrt (PI)))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (/ (sqrt (PI)) (* (/ 4 (sqrt (PI))) (log (tanh (* f (* 1/4 (PI))))))) (/ 1 (/ (sqrt (PI)) (* (/ 4 (sqrt (PI))) (log (tanh (* f (* 1/4 (PI)))))))) (sqrt (PI)) (* (neg (/ 4 (sqrt (PI)))) (/ 1 (neg (sqrt (PI))))) (* (sqrt (PI)) (sqrt (PI))) (neg (* (* (neg (/ 4 (sqrt (PI)))) (/ 1 (neg (sqrt (PI))))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (neg (/ 4 (sqrt (PI)))) (/ 1 (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (log (tanh (* f (* 1/4 (PI))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))

4.0ms

((log (/ 1 (tanh (* f (* 1/4 (PI)))))) (neg (* (/ 4 (PI)) (log (/ 1 (tanh (* f (* 1/4 (PI)))))))) (* (/ 4 (PI)) (log (/ 1 (tanh (* f (* 1/4 (PI))))))) (/ 4 (PI)) (* (/ 4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (PI) (log (tanh (* f (* 1/4 (PI))))) (* (* (sqrt (PI)) 1/4) (sqrt (PI))) (/ (log (tanh (* f (* 1/4 (PI))))) (* (* (sqrt (PI)) 1/4) (sqrt (PI)))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (/ (sqrt (PI)) (* (/ 4 (sqrt (PI))) (log (tanh (* f (* 1/4 (PI))))))) (/ 1 (/ (sqrt (PI)) (* (/ 4 (sqrt (PI))) (log (tanh (* f (* 1/4 (PI)))))))) (sqrt (PI)) (* (neg (/ 4 (sqrt (PI)))) (/ 1 (neg (sqrt (PI))))) (* (sqrt (PI)) (sqrt (PI))) (neg (* (* (neg (/ 4 (sqrt (PI)))) (/ 1 (neg (sqrt (PI))))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (neg (/ 4 (sqrt (PI)))) (/ 1 (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (log (tanh (* f (* 1/4 (PI))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))

simplify150.0ms (1%)

Memory

-5.7MiB live, 183.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	405	3616
1	1322	2731
2	5853	1835
0	9000	1691

Stop Event

1×	iter limit
1×	node limit

Counts

50 → 50

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

rewrite90.0ms (0.6%)

Memory

9.8MiB live, 98.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	318
0	91	245
1	307	223
0	1712	223

Stop Event

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

Counts

22 → 400

Calls

Call 1

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

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

eval183.0ms (1.2%)

Memory: -7.3MiB live, 234.9MiB allocated
Compiler: Compiled 24 632 to 2 903 computations (88.2% saved)

prune43.0ms (0.3%)

Memory

-19.6MiB live, 108.4MiB allocated

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	752	8	760
Fresh	7	8	15
Picked	3	2	5
Done	0	2	2
Total	762	20	782

Accuracy

100.0%

Counts

782 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.4%	(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))))
	8.8%	(/.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f)))) (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
	95.5%	(/.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sqrt.f64 (PI.f64)))
✓	99.2%	(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
	95.9%	(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (.f64 #s(literal 1/4 binary64) (PI.f64)))
✓	95.9%	(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
	95.7%	(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
	95.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (PI.f64))))
	95.6%	(/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (/.f64 #s(literal 1/4 binary64) #s(approx (log (tanh ( f (* 1/4 (PI))))) (log.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))))
	94.3%	(.f64 (/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
	95.6%	(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (sqrt.f64 (PI.f64))))
✓	95.7%	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
	95.7%	(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
	95.2%	(.f64 (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
	98.1%	(neg.f64 (/.f64 (/.f64 (.f64 #s(literal 4 binary64) (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
✓	99.0%	(neg.f64 (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
	95.7%	(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 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f)))))
	96.2%	(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 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
	98.5%	(neg.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))))
	95.7%	(neg.f64 (.f64 (.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (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 (.f64 (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64) (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) f)))))

Compiler

Compiled 2 143 to 673 computations (68.6% saved)

regimes87.0ms (0.6%)

Memory

14.6MiB live, 167.8MiB allocated

Counts

53 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
(/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (/.f64 #s(literal 1/4 binary64) #s(approx (log (tanh ( f (* 1/4 (PI))))) (log.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #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 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (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 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(.f64 (/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (.f64 #s(literal 1/4 binary64) (PI.f64)))
(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) #s(approx (log (tanh ( f (* 1/4 (PI))))) (log.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (sqrt.f64 (PI.f64)))
(/.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) 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 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) #s(approx (log (tanh ( f (* 1/4 (PI))))) (log.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (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 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (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 (/.f64 #s(literal 4 binary64) (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 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (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 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (.f64 (.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (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 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f)))))
(/.f64 #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f))) (.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(neg.f64 (.f64 (.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (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 (.f64 (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64) (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) f)))))
#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) (PI.f64)) #s(approx (log (tanh ( f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(neg.f64 (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
(.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (.f64 (/.f64 f #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)))))))) (fma.f64 #s(approx (* (* (/ f (PI)) (* (+ (* -2 (* (* (* (PI) 2) 2) 1/192)) (* (* 1/16 (PI)) 2)) (* 1/2 (PI)))) -2) (.f64 (.f64 (PI.f64) f) #s(literal -1/12 binary64))) f (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))))
(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 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
(neg.f64 (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
(neg.f64 (/.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (neg.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))))
(neg.f64 (/.f64 (/.f64 (.f64 #s(literal 4 binary64) (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(neg.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))))
(neg.f64 (.f64 (.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (PI.f64))))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 f (.f64 #s(literal 1/4 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)))))))) (fma.f64 (.f64 (.f64 (/.f64 f (PI.f64)) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -2 binary64)) 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)))))))) (fma.f64 (.f64 (.f64 (/.f64 f (PI.f64)) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -2 binary64)) f (.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))))
(neg.f64 (.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) #s(literal 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 (/.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 (/.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (sinh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))))
(.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (.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))) (-.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (.f64 (sinh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))))
(-.f64 (/.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (PI.f64))))
(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.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 (/.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 (log1p.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f)))) (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.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 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 (.f64 f (PI.f64)) #s(literal 3/4 binary64)))) (exp.f64 (.f64 (.f64 f (PI.f64)) #s(literal 3/4 binary64)))) (.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f)) (expm1.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/2 binary64)))) (.f64 (sinh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))))))
(neg.f64 (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 4 binary64)) (.f64 (+.f64 (pow.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (+.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (.f64 (cosh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))))) (PI.f64))))

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

Calls

6 calls:

16.0ms	(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))))))))
16.0ms	f
14.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
13.0ms	(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))))))
13.0ms	(/.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)))))

Results

Accuracy	Segments	Branch
99.2%	1	`f`
99.2%	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))))))))`
99.2%	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)))))))`
99.2%	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))))))`
99.2%	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)))))`
99.2%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes44.0ms (0.3%)

Memory

-7.1MiB live, 114.8MiB allocated

Counts

24 → 1

Calls

Call 1

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

Outputs

(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 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (*.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))

Calls

6 calls:

9.0ms	f
8.0ms	(/.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	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) 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)))))))
6.0ms	(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
96.2%	1	`f`
96.2%	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))))))))`
96.2%	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)))))))`
96.2%	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))))))`
96.2%	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)))))`
96.2%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes54.0ms (0.4%)

Memory

0.2MiB live, 78.6MiB allocated

Counts

21 → 1

Calls

Call 1

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

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

Calls

6 calls:

12.0ms	f
11.0ms	(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))))))
10.0ms	(.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)))))))
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))))))))
6.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)

Results

Accuracy	Segments	Branch
95.9%	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))))))))`
95.9%	1	`f`
95.9%	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)))))))`
95.9%	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))))))`
95.9%	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)))))`
95.9%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes8.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB 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 ( f (* 1/4 (PI)))) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))))

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

Calls

6 calls:

1.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
1.0ms	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	(.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
95.7%	1	`f`
95.7%	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))))))))`
95.7%	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)))))))`
95.7%	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))))))`
95.7%	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)))))`
95.7%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`

Compiler

Compiled 138 to 60 computations (56.5% saved)

simplify26.0ms (0.2%)

Memory

8.5MiB live, 47.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	106
1	73	106
2	86	106
3	99	105
4	111	105
5	139	105
6	177	105
7	180	105

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness539.0ms (3.6%)

Memory

-8.7MiB live, 393.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	50	341
0	82	232
1	311	226
2	1768	226
0	8568	226
0	448	3242
1	1502	2477
2	6466	1832
0	8882	1707
0	190	926
1	553	744
2	2129	560
0	9075	535
0	16	154
0	29	100
1	119	52
2	783	52
0	8561	52

Stop Event

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

Compiler

Compiled 289 to 136 computations (52.9% saved)

preprocess59.0ms (0.4%)

Memory: 12.3MiB live, 51.1MiB allocated
Compiler: Compiled 284 to 134 computations (52.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze208.0ms (1.4%)

sample7.6s (50.2%)

explain577.0ms (3.8%)

preprocess371.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify216.0ms (1.4%)

localize135.0ms (0.9%)

series90.0ms (0.6%)

simplify98.0ms (0.6%)

rewrite148.0ms (1%)

eval130.0ms (0.9%)

prune27.0ms (0.2%)

simplify168.0ms (1.1%)

localize407.0ms (2.7%)

series205.0ms (1.4%)

simplify130.0ms (0.9%)

rewrite214.0ms (1.4%)

eval415.0ms (2.7%)

prune150.0ms (1%)

simplify127.0ms (0.8%)

localize509.0ms (3.4%)

series265.0ms (1.8%)

simplify144.0ms (1%)

rewrite208.0ms (1.4%)

eval310.0ms (2%)

prune143.0ms (0.9%)

simplify118.0ms (0.8%)

localize678.0ms (4.5%)

series61.0ms (0.4%)

simplify150.0ms (1%)

rewrite90.0ms (0.6%)

eval183.0ms (1.2%)

prune43.0ms (0.3%)

regimes87.0ms (0.6%)

regimes44.0ms (0.3%)

regimes54.0ms (0.4%)

regimes8.0ms (0.1%)

simplify26.0ms (0.2%)

soundness539.0ms (3.6%)

preprocess59.0ms (0.4%)

end0.0ms (0%)

Profiling