Metrics for VandenBroeck and Keller, Equation (20)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze199.0ms (1%)

Memory

26.7MiB live, 215.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 39 to 18 computations (53.8% saved)

sample5.7s (29.9%)

Memory

142.9MiB live, 5 738.3MiB allocated

Samples

2.4s	7 148×	1	invalid
2.1s	7 611×	1	valid
137.0ms	151×	2	valid
60.0ms	494×	0	valid
1.0ms	9×	0	invalid
1.0ms	6×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 4.0s

ival-exp: 1.1s (27.7% of total)

ival-div: 639.0ms (16% of total)

adjust: 630.0ms (15.7% of total)

ival-mult: 404.0ms (10.1% of total)

ival-pi: 322.0ms (8% of total)

ival-log: 315.0ms (7.9% of total)

ival-neg: 258.0ms (6.4% of total)

ival-add: 158.0ms (3.9% of total)

ival-sub: 133.0ms (3.3% of total)

exact: 15.0ms (0.4% of total)

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

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

Bogosity

preprocess472.0ms (2.5%)

Memory

-15.4MiB live, 380.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

explain451.0ms (2.4%)

Memory

-31.4MiB live, 683.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
248	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	(87.11501422310535)	`(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))`
2	0	-	1	(87.11501422310535)	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`
2	5	(548677696.1479219)	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	248	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	7	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 -
+	255	0
-	0	1

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	255	0	0
-	0	0	1

Precision?

1.0

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

204.0ms	486×	1	valid
11.0ms	12×	2	valid
4.0ms	14×	0	valid

Compiler

Compiled 472 to 68 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-exp: 52.0ms (36.6% of total)

ival-div: 22.0ms (15.5% of total)

adjust: 15.0ms (10.6% of total)

ival-log: 14.0ms (9.9% of total)

ival-mult: 12.0ms (8.5% of total)

ival-neg: 8.0ms (5.6% of total)

ival-add: 7.0ms (4.9% of total)

ival-pi: 5.0ms (3.5% of total)

ival-sub: 5.0ms (3.5% of total)

exact: 1.0ms (0.7% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.1%	(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))))))))

Status

Accuracy

Program

▶

5.1%

(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))))))))

Compiler

Compiled 38 to 16 computations (57.9% saved)

simplify252.0ms (1.3%)

Memory

15.2MiB live, 248.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize111.0ms (0.6%)

Memory

-20.9MiB live, 184.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(.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	99.3%	(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	97.7%	(/.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	9.8%	(-.f64 (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

72.0ms	243×	1	valid
5.0ms	6×	2	valid
1.0ms	7×	0	valid

Compiler

Compiled 198 to 18 computations (90.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-exp: 21.0ms (34.2% of total)

ival-div: 10.0ms (16.3% of total)

ival-log: 7.0ms (11.4% of total)

adjust: 6.0ms (9.8% of total)

ival-mult: 6.0ms (9.8% of total)

ival-pi: 4.0ms (6.5% of total)

ival-neg: 4.0ms (6.5% of total)

ival-sub: 2.0ms (3.3% of total)

ival-add: 2.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

series119.0ms (0.6%)

Memory

0.6MiB live, 111.0MiB allocated

Counts

7 → 60

Calls

Call 1

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

Outputs
#<alt (/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI)))))>
#<alt (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)>
#<alt (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)>
#<alt (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))>
#<alt (- (* -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))))>
#<alt (- (* 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))))>
#<alt (- (* 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))))>
#<alt (* -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)))>
#<alt (* -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)))>
#<alt (* -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)))>
#<alt (* -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)))>
#<alt (* -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)))>
#<alt (* -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)))>
#<alt (* -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)))>
#<alt (* -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)))>
#<alt (* f (- (* 1/4 (PI)) (* -1/4 (PI))))>
#<alt (* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))>
#<alt (* 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))))>
#<alt (* 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))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f)))>
#<alt (+ (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))))))))>
#<alt (+ (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)))))))))>
#<alt (+ (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))))))))))))>
#<alt (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))>
#<alt (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))))>
#<alt (+ (* 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))))))))>
#<alt (* 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)))>
#<alt (* 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)))>
#<alt (* 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)))>
#<alt (* 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)))>
#<alt (* 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)))>
#<alt (* 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)))>
#<alt (* 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)))>
#<alt (* 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)))>

Calls

15 calls:

Time	Variable		Point	Expression
56.0ms	f	@	inf	(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))
50.0ms	f	@	-inf	(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))
3.0ms	f	@	0	(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))
1.0ms	f	@	0	(/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))
1.0ms	f	@	-inf	(/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))

simplify208.0ms (1.1%)

Memory

17.6MiB live, 264.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

rewrite272.0ms (1.4%)

Memory

-0.6MiB live, 381.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

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

Counts

7 → 561

Calls

Call 1

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

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

eval137.0ms (0.7%)

Memory: 2.5MiB live, 289.3MiB allocated
Compiler: Compiled 32 226 to 3 625 computations (88.8% saved)

prune150.0ms (0.8%)

Memory

9.2MiB live, 279.4MiB allocated

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	765	20	785
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	766	20	786

Accuracy

99.3%

Counts

786 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.5%	(/.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)))
▶	98.7%	(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
▶	98.7%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
▶	96.7%	(-.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (.f64 (PI.f64) #s(literal -1/4 binary64))))
	98.7%	(.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
	96.4%	(neg.f64 (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64))) #s(literal 4 binary64)) (.f64 (+.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (+.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))) (PI.f64))))
	98.5%	(neg.f64 (/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
	98.6%	(neg.f64 (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
	96.3%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (+.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))))
	96.6%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.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))))) (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
	98.6%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
	96.7%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
	5.1%	(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)))) (fma.f64 (exp.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 f #s(literal 1/2 binary64)))) (exp.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 f #s(literal 1/2 binary64)))) (neg.f64 (exp.f64 (.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))))))
	5.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 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))))))))
	96.7%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
	96.5%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
	96.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
▶	96.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
▶	96.6%	#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 f (/.f64 (.f64 #s(literal -2 binary64) (.f64 f (.f64 (PI.f64) (.f64 (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64))))) (PI.f64)) (.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))))
	96.2%	#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 1 206 to 696 computations (42.3% saved)

simplify360.0ms (1.9%)

Memory

-9.9MiB live, 315.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

6 494×	`lower-fma.f32`
6 490×	`lower-fma.f64`
4 784×	`lower-*.f32`
4 752×	`lower-*.f64`
1 840×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	677
0	115	659
1	234	599
2	588	557
3	1850	528
4	5873	465
0	8314	464

Stop Event

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

Calls

Call 1

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

Outputs
(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))
(tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))
(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
f
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))) (.f64 (PI.f64) #s(literal -1/4 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))
(/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
#s(literal 2 binary64)
(.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))
(.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))
f
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
#s(literal 1 binary64)
(/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
(log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))
(tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))
(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))
f
#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 f (/.f64 (.f64 #s(literal -2 binary64) (.f64 f (.f64 (PI.f64) (.f64 (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64))))) (PI.f64)) (.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 (neg.f64 (log.f64 f)) (log.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64)) (.f64 (.f64 f f) (.f64 (PI.f64) #s(literal -1/12 binary64)))))
(fma.f64 f (/.f64 (.f64 #s(literal -2 binary64) (.f64 f (.f64 (PI.f64) (.f64 (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64))))) (PI.f64)) (.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
(fma.f64 (-.f64 (neg.f64 (log.f64 f)) (log.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64)) (.f64 (.f64 f f) (.f64 (PI.f64) #s(literal -1/12 binary64))))
f
(/.f64 (.f64 #s(literal -2 binary64) (.f64 f (.f64 (PI.f64) (.f64 (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64))))) (PI.f64))
(.f64 f (.f64 (PI.f64) #s(literal -1/12 binary64)))
(.f64 #s(literal -2 binary64) (.f64 f (.f64 (PI.f64) (.f64 (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64)))))
(.f64 (PI.f64) (.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))
#s(literal -2 binary64)
(.f64 f (.f64 (PI.f64) (.f64 (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64))))
(.f64 (PI.f64) (.f64 f (*.f64 (PI.f64) #s(literal 1/24 binary64))))
(.f64 (PI.f64) (.f64 (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64)))
(.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/24 binary64)))
(PI.f64)
(.f64 (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64))
(*.f64 (PI.f64) #s(literal 1/24 binary64))
(fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))
(*.f64 (PI.f64) #s(literal 1/12 binary64))
(.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))
(*.f64 (PI.f64) #s(literal 1/48 binary64))
#s(literal 1/192 binary64)
(*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))
(*.f64 (PI.f64) #s(literal 4 binary64))
#s(literal 2 binary64)
(+.f64 (PI.f64) (PI.f64))
(*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))
(*.f64 (PI.f64) #s(literal 1/8 binary64))
#s(literal 1/16 binary64)
#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)))
(neg.f64 (.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(-.f64 (neg.f64 (log.f64 f)) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
(neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(/.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)
(-.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (.f64 (PI.f64) #s(literal -1/4 binary64))))
(fma.f64 #s(literal 4 binary64) (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (PI.f64)) (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(/.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (.f64 (PI.f64) #s(literal -1/4 binary64)))
(log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
(.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
#s(literal 2 binary64)
(cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(cosh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))
(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
f
(*.f64 (PI.f64) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(/.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (.f64 (PI.f64) #s(literal -1/4 binary64)))
(log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
(.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(sinh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))

localize1.2s (6.1%)

Memory

15.9MiB live, 618.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
✓	accuracy	99.2%	(log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
✓	accuracy	98.9%	(PI.f64)
✓	accuracy	98.7%	(-.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (.f64 (PI.f64) #s(literal -1/4 binary64))))
✓	accuracy	98.5%	(.f64 (PI.f64) (.f64 (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64)))
✓	accuracy	98.5%	(.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))
✓	accuracy	98.2%	#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 f (/.f64 (.f64 #s(literal -2 binary64) (.f64 f (.f64 (PI.f64) (.f64 (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64))))) (PI.f64)) (.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))))
✓	accuracy	96.9%	(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
✓	accuracy	99.6%	(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)
✓	accuracy	99.5%	(/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
✓	accuracy	99.3%	(log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
✓	accuracy	98.9%	(PI.f64)
✓	accuracy	99.4%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))))))
✓	accuracy	99.3%	(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))
✓	accuracy	98.9%	(PI.f64)
✓	accuracy	97.9%	#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))))
✓	accuracy	99.6%	(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)
✓	accuracy	99.5%	(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
✓	accuracy	99.3%	(log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
✓	accuracy	98.9%	(PI.f64)

Samples

769.0ms	243×	1	valid
82.0ms	3×	5	exit
13.0ms	1×	4	valid
5.0ms	1×	3	valid
3.0ms	7×	0	valid
2.0ms	1×	2	valid

Compiler

Compiled 617 to 65 computations (89.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 761.0ms

ival-log: 193.0ms (25.3% of total)

ival-mult: 162.0ms (21.3% of total)

ival-neg: 149.0ms (19.6% of total)

ival-div: 113.0ms (14.8% of total)

ival-add: 66.0ms (8.7% of total)

ival-exp: 21.0ms (2.8% of total)

adjust: 20.0ms (2.6% of total)

ival-cosh: 9.0ms (1.2% of total)

ival-sub: 7.0ms (0.9% of total)

ival-tanh: 7.0ms (0.9% of total)

ival-sinh: 6.0ms (0.8% of total)

const: 4.0ms (0.5% of total)

ival-pi: 3.0ms (0.4% of total)

exact: 1.0ms (0.1% of total)

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

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

series291.0ms (1.5%)

Memory

12.9MiB live, 313.1MiB allocated

Counts

27 → 228

Calls

Call 1

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

Outputs
#<alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))))))))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (+ (log f) (log (* 1/4 (PI))))>
#<alt (+ (log f) (+ (log (* 1/4 (PI))) (* 2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI)))))>
#<alt (+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 1/2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI)))))))>
#<alt (+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* f (+ (* 1/6 (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI))))))) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* f (+ (* 1/4 (PI)) (* 1/2 (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))))))>
#<alt (* 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))))))))>
#<alt (* 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))))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
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#<alt (+ (log f) (+ (log (* 1/2 (PI))) (* f (+ (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* f (+ (* 1/6 (* f (+ (* -24 (/ (* (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))) (+ (* 12 (/ (+ (* -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))))) (PI))) (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))))))) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 4 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (PI)))))))))))>
#<alt (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>

Calls

57 calls:

Time	Variable		Point	Expression
114.0ms	f	@	-inf	(/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) 1/4))
61.0ms	f	@	inf	(- (/ (log (* 2 (cosh (* (* (PI) 1/4) f)))) (* (PI) -1/4)) (/ (log (* 2 (sinh (* (* (PI) 1/4) f)))) (* (PI) -1/4)))
42.0ms	f	@	-inf	(- (/ (log (* 2 (cosh (* (* (PI) 1/4) f)))) (* (PI) -1/4)) (/ (log (* 2 (sinh (* (* (PI) 1/4) f)))) (* (PI) -1/4)))
37.0ms	f	@	inf	(/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) 1/4))
7.0ms	f	@	0	(log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))

simplify397.0ms (2.1%)

Memory

-14.3MiB live, 429.3MiB allocated

Algorithm

1×	egg-herbie

Rules

12 142×	`lower-fma.f64`
12 142×	`lower-fma.f32`
6 894×	`lower-*.f64`
6 894×	`lower-*.f32`
2 472×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	468	7388
1	1565	6272
2	6972	6244
0	8324	6019

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))))))))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(+ (log f) (log (* 1/4 (PI))))
(+ (log f) (+ (log (* 1/4 (PI))) (* 2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI)))))
(+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 1/2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI)))))))
(+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* f (+ (* 1/6 (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI))))))) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(* 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))))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(/ 4 (* f (PI)))
(/ 4 (* f (PI)))
(/ 4 (* f (PI)))
(/ 4 (* f (PI)))
(/ 4 (* f (PI)))
(/ 4 (* f (PI)))
(/ 4 (* f (PI)))
(/ 4 (* f (PI)))
(/ 4 (* f (PI)))
(/ 4 (* f (PI)))
(/ 4 (* f (PI)))
(/ 4 (* f (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))))
(- (* 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 (/ (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)))
(* -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)))
(* -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)))
(* -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)))
(* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
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(fma.f64 f (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 f (fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (.f64 #s(literal 1/24 binary64) (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (PI.f64))))) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 0 binary64))))) (PI.f64)) (/.f64 (.f64 (PI.f64) #s(literal 0 binary64)) (PI.f64))) (/.f64 (*.f64 #s(literal -4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (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 f (fma.f64 f (fma.f64 f (.f64 (/.f64 (fma.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 0 binary64))) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (.f64 #s(literal 1/24 binary64) (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (PI.f64))))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) #s(literal 0 binary64)) (.f64 (PI.f64) #s(literal 0 binary64)))) (PI.f64)) #s(literal -2/3 binary64)) (/.f64 (.f64 #s(literal -2 binary64) (fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (.f64 #s(literal 1/24 binary64) (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (PI.f64))))) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 0 binary64))))) (PI.f64))) (/.f64 (.f64 (PI.f64) #s(literal 0 binary64)) (PI.f64))) (/.f64 (*.f64 #s(literal -4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64)))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(/.f64 (.f64 #s(literal -4 binary64) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))))))) (PI.f64))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(/.f64 (.f64 #s(literal -4 binary64) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))))))) (PI.f64))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(/.f64 (.f64 #s(literal -4 binary64) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))))))) (PI.f64))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(/.f64 (.f64 #s(literal -4 binary64) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))))))) (PI.f64))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(/.f64 (.f64 #s(literal -4 binary64) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))))))) (PI.f64))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(/.f64 (.f64 #s(literal -4 binary64) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))))))) (PI.f64))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(/.f64 (.f64 #s(literal -4 binary64) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))))))) (PI.f64))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(/.f64 (.f64 #s(literal -4 binary64) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))))))) (PI.f64))
(+ (log f) (log (* 1/2 (PI))))
(+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(+ (log f) (+ (log (* 1/2 (PI))) (* 2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI)))))
(+.f64 (log.f64 f) (fma.f64 f (/.f64 #s(literal 0 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(+ (log f) (+ (log (* 1/2 (PI))) (* f (+ (* 1/2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 4 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (PI)))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI)))))))
(+.f64 (log.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 f (fma.f64 f (fma.f64 (/.f64 (fma.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64))) (PI.f64)) #s(literal 4 binary64) (/.f64 #s(literal 0 binary64) (.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 0 binary64) (PI.f64))) (log.f64 f)))
(+ (log f) (+ (log (* 1/2 (PI))) (* f (+ (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* f (+ (* 1/6 (* f (+ (* -24 (/ (* (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))) (+ (* 12 (/ (+ (* -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))))) (PI))) (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))))))) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 4 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (PI)))))))))))
(fma.f64 f (fma.f64 f (fma.f64 (fma.f64 (fma.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/384 binary64))) (/.f64 #s(literal 0 binary64) (.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 12 binary64) (/.f64 (fma.f64 (fma.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/192 binary64))) (.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/32 binary64)) (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/3072 binary64)))) (PI.f64)) (/.f64 #s(literal 0 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))))) (.f64 f #s(literal 1/6 binary64)) (fma.f64 (/.f64 (fma.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64))) (PI.f64)) #s(literal 4 binary64) (/.f64 #s(literal 0 binary64) (.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 0 binary64) (PI.f64))) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(log.f64 (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))))
(log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(log.f64 (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))))
(log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(log.f64 (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))))
(log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(log.f64 (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))))
(log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(log.f64 (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))))
(log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(log.f64 (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))))
(log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(log.f64 (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))))
(log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(log.f64 (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))))

rewrite336.0ms (1.8%)

Memory

18.2MiB live, 489.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 674×	`lower-/.f32`
3 652×	`lower-/.f64`
3 432×	`lower-*.f32`
3 410×	`lower-*.f64`
2 558×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	479
0	115	334
1	429	292
2	3435	214
0	9599	203

Stop Event

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

Counts

27 → 1 168

Calls

Call 1

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

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

eval461.0ms (2.4%)

Memory: 33.6MiB live, 931.2MiB allocated
Compiler: Compiled 75 245 to 8 376 computations (88.9% saved)

prune290.0ms (1.5%)

Memory

-34.0MiB live, 628.5MiB allocated

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	2 652	12	2 664
Fresh	10	5	15
Picked	4	1	5
Done	0	0	0
Total	2 666	18	2 684

Accuracy

99.3%

Counts

2 684 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.7%	(fma.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
	96.7%	(/.f64 (fma.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (.f64 (PI.f64) #s(literal -1/4 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))))) (.f64 #s(literal 1/16 binary64) (*.f64 (PI.f64) (PI.f64))))
▶	96.8%	(/.f64 (log.f64 (/.f64 (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))) (cosh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
	97.7%	(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
✓	98.7%	(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
▶	96.2%	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
	97.7%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
	96.1%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))))
	96.1%	(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
	98.5%	(neg.f64 (/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
▶	98.6%	(neg.f64 (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
	95.6%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
▶	94.8%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
	5.1%	(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)))) (fma.f64 (exp.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 f #s(literal 1/2 binary64)))) (exp.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 f #s(literal 1/2 binary64)))) (neg.f64 (exp.f64 (.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))))))
	96.5%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
	96.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
▶	96.6%	#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 f #s(approx (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI)) (.f64 (.f64 f (neg.f64 (PI.f64))) #s(literal 1/12 binary64))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))))
	96.2%	#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 740 to 506 computations (31.6% saved)

simplify261.0ms (1.4%)

Memory

2.6MiB live, 305.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))
✓	cost-diff	0	(log.f64 (/.f64 (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))) (cosh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))
✓	cost-diff	0	(/.f64 (log.f64 (/.f64 (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))) (cosh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
✓	cost-diff	6720	(/.f64 (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))) (cosh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))
✓	cost-diff	0	(fma.f64 f #s(approx (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI)) (.f64 (.f64 f (neg.f64 (PI.f64))) #s(literal 1/12 binary64))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
✓	cost-diff	0	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 f #s(approx (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI)) (.f64 (.f64 f (neg.f64 (PI.f64))) #s(literal 1/12 binary64))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))))
✓	cost-diff	128	(.f64 (.f64 f (neg.f64 (PI.f64))) #s(literal 1/12 binary64))
✓	cost-diff	256	(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
✓	cost-diff	128	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
✓	cost-diff	320	(/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64)))
✓	cost-diff	1600	(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
✓	cost-diff	0	(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
✓	cost-diff	0	#s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))
✓	cost-diff	0	(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
✓	cost-diff	0	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
✓	cost-diff	0	(neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
✓	cost-diff	0	(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sqrt.f64 (PI.f64)))
✓	cost-diff	128	(neg.f64 (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
✓	cost-diff	2112	(.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))

Rules

7 046×	`lower-fma.f32`
7 044×	`lower-fma.f64`
5 818×	`lower-*.f32`
5 790×	`lower-*.f64`
3 188×	`lower-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	633
0	129	626
1	282	580
2	759	540
3	2864	499
4	7837	499
0	8004	499

Stop Event

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

Calls

Call 1

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

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

localize438.0ms (2.3%)

Memory

23.6MiB live, 695.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))
✓	accuracy	99.5%	(/.f64 (log.f64 (/.f64 (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))) (cosh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
✓	accuracy	99.3%	(log.f64 (/.f64 (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))) (cosh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))
✓	accuracy	98.1%	(/.f64 (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))) (cosh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))
✓	accuracy	99.4%	(.f64 (.f64 f (neg.f64 (PI.f64))) #s(literal 1/12 binary64))
✓	accuracy	99.3%	(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
✓	accuracy	97.1%	#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 f #s(approx (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI)) (.f64 (.f64 f (neg.f64 (PI.f64))) #s(literal 1/12 binary64))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))))
✓	accuracy	96.9%	(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
✓	accuracy	99.3%	(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))
✓	accuracy	98.4%	(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	96.9%	#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))))
✓	accuracy	99.6%	(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
✓	accuracy	99.5%	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
✓	accuracy	99.3%	(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
✓	accuracy	96.9%	#s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))
✓	accuracy	99.6%	(.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
✓	accuracy	99.4%	(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sqrt.f64 (PI.f64)))
✓	accuracy	99.3%	(log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))

Samples

271.0ms	243×	1	valid
36.0ms	6×	2	valid
8.0ms	7×	0	valid

Compiler

Compiled 526 to 76 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 264.0ms

ival-mult: 68.0ms (25.7% of total)

ival-log: 55.0ms (20.8% of total)

ival-div: 39.0ms (14.8% of total)

ival-exp: 22.0ms (8.3% of total)

adjust: 18.0ms (6.8% of total)

ival-neg: 16.0ms (6.1% of total)

ival-sub: 9.0ms (3.4% of total)

ival-add: 9.0ms (3.4% of total)

const: 7.0ms (2.6% of total)

ival-cosh: 7.0ms (2.6% of total)

ival-pi: 4.0ms (1.5% of total)

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

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

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

exact: 1.0ms (0.4% of total)

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

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

series166.0ms (0.9%)

Memory

-9.9MiB live, 264.6MiB allocated

Counts

26 → 264

Calls

Call 1

Inputs
#<alt (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))>
#<alt (neg.f64 (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))>
#<alt (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sqrt.f64 (PI.f64)))>
#<alt (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))>
#<alt (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))>
#<alt (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))>
#<alt #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))>
#<alt (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))>
#<alt (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64)))>
#<alt (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))>
#<alt (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))>
#<alt (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))>
#<alt (.f64 (.f64 f (neg.f64 (PI.f64))) #s(literal 1/12 binary64))>
#<alt #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 f #s(approx (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI)) (.f64 (.f64 f (neg.f64 (PI.f64))) #s(literal 1/12 binary64))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))))>
#<alt (fma.f64 f #s(approx (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI)) (.f64 (.f64 f (neg.f64 (PI.f64))) #s(literal 1/12 binary64))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))>
#<alt (/.f64 (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))) (cosh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))>
#<alt (/.f64 (log.f64 (/.f64 (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))) (cosh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))>
#<alt (log.f64 (/.f64 (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))) (cosh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))>
#<alt (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))>
#<alt (sqrt.f64 (PI.f64))>
#<alt (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))>
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Calls

66 calls:

Time	Variable		Point	Expression
80.0ms	f	@	0	(+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI))))
25.0ms	f	@	0	(* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))
13.0ms	f	@	-inf	(* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))
9.0ms	f	@	-inf	(/ (log (/ (sinh (* (PI) (* 1/4 f))) (cosh (* (PI) (* 1/4 f))))) (* (PI) 1/4))
7.0ms	f	@	inf	(/ (log (/ (sinh (* (PI) (* 1/4 f))) (cosh (* (PI) (* 1/4 f))))) (* (PI) 1/4))

simplify305.0ms (1.6%)

Memory

13.7MiB live, 363.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6 734×	`lower-fma.f64`
6 734×	`lower-fma.f32`
4 842×	`lower-*.f64`
4 842×	`lower-*.f32`
1 890×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	399	8110
1	1310	7161
2	5666	6355
0	8965	6189

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

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

rewrite149.0ms (0.8%)

Memory

-3.3MiB live, 183.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 918×	`lower-*.f32`
1 890×	`lower-*.f64`
1 444×	`lower-/.f32`
1 424×	`lower-/.f64`
1 128×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	458
0	129	335
1	472	297
0	3137	295

Stop Event

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

Counts

26 → 545

Calls

Call 1

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

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

eval125.0ms (0.7%)

Memory: -16.6MiB live, 183.9MiB allocated
Compiler: Compiled 21 254 to 2 165 computations (89.8% saved)

prune93.0ms (0.5%)

Memory

2.1MiB live, 162.1MiB allocated

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	871	15	886
Fresh	10	2	12
Picked	3	2	5
Done	0	1	1
Total	884	20	904

Accuracy

99.9%

Counts

904 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.4%	(/.f64 (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
	7.8%	(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
▶	98.5%	(/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
✓	96.8%	(/.f64 (log.f64 (/.f64 (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))) (cosh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
	96.8%	(/.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 1/4 binary64) f))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
✓	98.7%	(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
	96.2%	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
✓	96.2%	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
	96.1%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))))
▶	96.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (PI.f64))))
	96.1%	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))
	97.9%	(neg.f64 (/.f64 #s(literal 4 binary64) (.f64 (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (sqrt.f64 (PI.f64)))))
	96.5%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
	95.6%	(neg.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 (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
	96.4%	#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 (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (.f64 f #s(approx (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI)) (.f64 f (.f64 (neg.f64 (PI.f64)) #s(literal 1/12 binary64)))))))
	96.4%	#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 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f))) (.f64 f #s(approx (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI)) (.f64 f (.f64 (neg.f64 (PI.f64)) #s(literal 1/12 binary64)))))))
	96.5%	#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 f #s(approx (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI)) (.f64 (.f64 f (neg.f64 (PI.f64))) #s(literal 1/12 binary64))) (/.f64 (.f64 (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f))) #s(literal -4 binary64)) (PI.f64))))
▶	96.5%	#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 f #s(approx (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI)) (.f64 (.f64 f (neg.f64 (PI.f64))) #s(literal 1/12 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (.f64 (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f))) #s(literal -4 binary64))))))
▶	96.2%	#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))))
▶	4.0%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (.f64 f (.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))))

Compiler

Compiled 683 to 461 computations (32.5% saved)

simplify191.0ms (1%)

Memory

23.3MiB live, 180.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
✓	cost-diff	0	(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
✓	cost-diff	0	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
✓	cost-diff	256	(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
✓	cost-diff	128	(/.f64 (PI.f64) (.f64 (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f))) #s(literal -4 binary64)))
✓	cost-diff	128	(.f64 (.f64 f (neg.f64 (PI.f64))) #s(literal 1/12 binary64))
✓	cost-diff	256	(log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (.f64 (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f))) #s(literal -4 binary64))))
✓	cost-diff	0	(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))
✓	cost-diff	0	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (PI.f64))
✓	cost-diff	384	(/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (PI.f64)))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (PI.f64))))
✓	cost-diff	0	(.f64 f (.f64 (PI.f64) #s(literal -1/12 binary64)))
✓	cost-diff	0	(.f64 f (.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))
✓	cost-diff	0	#s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (.f64 f (.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))))
✓	cost-diff	0	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (.f64 f (.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))))
✓	cost-diff	0	(log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))
✓	cost-diff	0	(neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))
✓	cost-diff	128	(.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
✓	cost-diff	1984	(/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))

Rules

7 706×	`lower-fma.f32`
7 704×	`lower-fma.f64`
5 370×	`lower-*.f32`
5 348×	`lower-*.f64`
1 922×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	613
0	126	600
1	272	562
2	628	520
3	1964	480
4	6119	480
0	8449	478

Stop Event

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

Calls

Call 1

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

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

localize449.0ms (2.4%)

Memory

-13.4MiB live, 452.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
✓	accuracy	98.9%	(PI.f64)
✓	accuracy	97.8%	#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))))
✓	accuracy	96.9%	(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
✓	accuracy	99.5%	(/.f64 (PI.f64) (.f64 (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f))) #s(literal -4 binary64)))
✓	accuracy	99.4%	(.f64 (.f64 f (neg.f64 (PI.f64))) #s(literal 1/12 binary64))
✓	accuracy	98.9%	(PI.f64)
✓	accuracy	98.2%	#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 f #s(approx (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI)) (.f64 (.f64 f (neg.f64 (PI.f64))) #s(literal 1/12 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (.f64 (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f))) #s(literal -4 binary64))))))
✓	accuracy	99.5%	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (PI.f64))
✓	accuracy	99.3%	(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))
✓	accuracy	98.9%	(PI.f64)
✓	accuracy	97.9%	#s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))
✓	accuracy	98.9%	(PI.f64)
✓	accuracy	98.5%	(*.f64 (PI.f64) #s(literal -1/12 binary64))
✓	accuracy	98.2%	#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)))))))) #s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (.f64 f (.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))))
✓	accuracy	5.7%	#s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (.f64 f (.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))))
✓	accuracy	99.5%	(/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
✓	accuracy	99.3%	(log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))
✓	accuracy	98.9%	(PI.f64)
✓	accuracy	98.5%	(sqrt.f64 (PI.f64))

Samples

265.0ms	242×	1	valid
49.0ms	3×	5	exit
12.0ms	1×	4	valid
4.0ms	1×	3	valid
4.0ms	8×	0	valid
2.0ms	1×	2	valid

Compiler

Compiled 457 to 75 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 289.0ms

ival-log: 77.0ms (26.7% of total)

ival-mult: 67.0ms (23.2% of total)

ival-div: 41.0ms (14.2% of total)

adjust: 23.0ms (8% of total)

ival-exp: 21.0ms (7.3% of total)

ival-add: 16.0ms (5.5% of total)

ival-tanh: 14.0ms (4.8% of total)

const: 12.0ms (4.2% of total)

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

ival-sub: 5.0ms (1.7% of total)

ival-pi: 3.0ms (1% of total)

ival-sqrt: 3.0ms (1% of total)

exact: 1.0ms (0.3% of total)

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

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

series48.0ms (0.3%)

Memory

18.0MiB live, 56.8MiB allocated

Counts

25 → 252

Calls

Call 1

Inputs
#<alt (/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))>
#<alt (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))>
#<alt (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))>
#<alt (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))>
#<alt #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (.f64 f (.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))))>
#<alt #s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (.f64 f (.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))))>
#<alt (.f64 f (.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))>
#<alt (.f64 f (.f64 (PI.f64) #s(literal -1/12 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (PI.f64))))>
#<alt (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (PI.f64)))>
#<alt (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (PI.f64))>
#<alt (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (.f64 (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f))) #s(literal -4 binary64))))>
#<alt (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))>
#<alt (.f64 (.f64 f (neg.f64 (PI.f64))) #s(literal 1/12 binary64))>
#<alt (/.f64 (PI.f64) (.f64 (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f))) #s(literal -4 binary64)))>
#<alt (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))>
#<alt #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))>
#<alt (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))>
#<alt (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))>
#<alt (sqrt.f64 (PI.f64))>
#<alt (PI.f64)>
#<alt (*.f64 (PI.f64) #s(literal -1/12 binary64))>
#<alt #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))>
#<alt #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 f #s(approx (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI)) (.f64 (.f64 f (neg.f64 (PI.f64))) #s(literal 1/12 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (.f64 (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f))) #s(literal -4 binary64))))))>

Outputs
#<alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))))))))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (+ (* 4 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI)))))) (* 8 (* (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (sqrt (/ 1 (pow (PI) 3))))))>
#<alt (+ (* 4 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (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))))) (sqrt (/ 1 (PI))))) (* 8 (* (sqrt (/ 1 (pow (PI) 3))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))))>
#<alt (+ (* 4 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI)))))) (* f (+ (* 8 (* (sqrt (/ 1 (pow (PI) 3))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (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)))))) (sqrt (/ 1 (PI))))) (* 2 (* (sqrt (/ 1 (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)))))))))))>
#<alt (* 4 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* 4 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* 4 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* 4 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* 4 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* 4 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* 4 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* 4 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* -1 (+ (log f) (log (* 1/4 (PI)))))>
#<alt (- (* -2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI))) (+ (log f) (log (* 1/4 (PI)))))>
#<alt (- (* 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)))))>
#<alt (- (* f (- (* 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))))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))))) (+ (log f) (log (* 1/4 (PI)))))>
#<alt (* -1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (* -1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (* -1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (* -1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (* -1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (* -1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (* -1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (* -1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (+ (log f) (log (* 1/4 (PI))))>
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#<alt (- (* 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))))>
#<alt (* -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)))>
#<alt (* -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)))>
#<alt (* -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)))>
#<alt (* -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)))>
#<alt (* -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)))>
#<alt (* -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)))>
#<alt (* -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)))>
#<alt (* -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)))>

Calls

63 calls:

Time	Variable		Point	Expression
18.0ms	f	@	-inf	(/ 1 (/ (PI) (* (log (/ 4 (* (PI) f))) -4)))
7.0ms	f	@	0	(/ 1 (/ (PI) (* (log (/ 4 (* (PI) f))) -4)))
7.0ms	f	@	inf	(/ 1 (/ (PI) (* (log (/ 4 (* (PI) f))) -4)))
1.0ms	f	@	0	(/ (PI) (* (log (/ 4 (* (PI) f))) -4))
1.0ms	f	@	-inf	(/ (PI) (* (log (/ 4 (* (PI) f))) -4))

simplify274.0ms (1.4%)

Memory

5.5MiB live, 199.8MiB allocated

Algorithm

1×	egg-herbie

Rules

4 728×	`lower-fma.f64`
4 728×	`lower-fma.f32`
4 548×	`lower-*.f64`
4 548×	`lower-*.f32`
1 514×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	396	7486
1	1290	6584
2	5568	5850
0	8658	5680

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

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

rewrite197.0ms (1%)

Memory

-18.0MiB live, 139.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 054×	`lower-*.f32`
2 032×	`lower-*.f64`
1 480×	`lower-fma.f32`
1 478×	`lower-fma.f64`
1 410×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	459
0	126	376
1	466	347
0	3172	342

Stop Event

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

Counts

25 → 421

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(neg.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(neg.f64 (.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))
(neg.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(neg.f64 (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(neg.f64 (/.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal -1/4 binary64))) (sqrt.f64 (PI.f64))))
(neg.f64 (/.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (neg.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))) (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (neg.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (PI.f64)))
(/.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (neg.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(/.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal -1/4 binary64))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal -4 binary64))) (PI.f64))
(/.f64 (.f64 (neg.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) #s(literal -4 binary64))) #s(literal 1 binary64)) (PI.f64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (.f64 (PI.f64) #s(literal -1/4 binary64))) (.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (.f64 (PI.f64) #s(literal -1/4 binary64))))) (+.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (.f64 (PI.f64) #s(literal -1/4 binary64)))))
(/.f64 (.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64))
(/.f64 (.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (neg.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(/.f64 (.f64 #s(literal -4 binary64) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (neg.f64 (PI.f64)))
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(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal -1/12 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal -1/12 binary64)))
(*.f64 #s(literal -1/12 binary64) (PI.f64))
(.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/12 binary64)))
(.f64 (.f64 #s(literal -1/12 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 #s(literal -1/12 binary64) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)))
#s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) 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 (neg.f64 (log.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)) (.f64 f #s(approx (/ ( -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI)) (neg.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/12 binary64)))))))

eval167.0ms (0.9%)

Memory: 17.1MiB live, 173.5MiB allocated
Compiler: Compiled 20 386 to 2 117 computations (89.6% saved)

prune468.0ms (2.5%)

Memory

-99.0MiB live, 238.5MiB allocated

Pruning

29 alts after pruning (24 fresh and 5 done)

	Pruned	Kept	Total
New	858	16	874
Fresh	4	8	12
Picked	3	2	5
Done	0	3	3
Total	865	29	894

Accuracy

99.9%

Counts

894 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.4%	(/.f64 (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
	7.8%	(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
	96.0%	(/.f64 (.f64 (neg.f64 #s(approx (log (tanh ( (PI) (* 1/4 f)))) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
✓	96.8%	(/.f64 (log.f64 (/.f64 (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))) (cosh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
	96.8%	(/.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 1/4 binary64) f))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
✓	98.7%	(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
	96.2%	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
✓	96.2%	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
	96.1%	(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))))
✓	96.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (PI.f64))))
	96.1%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (PI.f64)))
	96.1%	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))
	97.9%	(neg.f64 (/.f64 #s(literal 4 binary64) (.f64 (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (sqrt.f64 (PI.f64)))))
	96.5%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
	95.6%	(neg.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 (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
	96.4%	#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 (neg.f64 (log.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)) (.f64 f #s(approx (/ ( -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI)) (neg.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/12 binary64)))))))
	96.5%	#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 f #s(approx (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI)) (.f64 (.f64 f (neg.f64 (PI.f64))) #s(literal 1/12 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (neg.f64 (log.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))))
	96.1%	#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 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal -1/4 binary64) (neg.f64 (log.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))))
	96.0%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (neg.f64 (log.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))))
	96.2%	#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 (neg.f64 (log.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
	4.0%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (.f64 (.f64 (*.f64 f f) (PI.f64)) #s(literal -1/12 binary64))))
	4.0%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (.f64 (.f64 (*.f64 f f) #s(literal -1/12 binary64)) (PI.f64))))
	4.0%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (.f64 (.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f))))
	4.0%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (.f64 (.f64 f (*.f64 (PI.f64) f)) #s(literal -1/12 binary64))))
	4.0%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (.f64 f (.f64 (*.f64 (PI.f64) f) #s(literal -1/12 binary64)))))
	4.0%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (.f64 f (.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64)))))
	4.0%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (.f64 f (.f64 f (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal -1/12 binary64))))))
	4.0%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (.f64 f (.f64 f (.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -1/12 binary64))))))
✓	4.0%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (.f64 f (.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))))

Compiler

Compiled 1 765 to 611 computations (65.4% saved)

regimes132.0ms (0.7%)

Memory

7.8MiB live, 164.2MiB allocated

Counts

64 → 1

Calls

Call 1

Inputs
#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)))))))) #s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (.f64 f (.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (.f64 f (.f64 (*.f64 f #s(literal -1/12 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)))))))) #s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (.f64 f (.f64 (*.f64 (PI.f64) f) #s(literal -1/12 binary64)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (.f64 (.f64 f (*.f64 (PI.f64) f)) #s(literal -1/12 binary64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (.f64 (.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) 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)))))))) #s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (.f64 (.f64 (*.f64 f f) #s(literal -1/12 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)))))))) #s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (.f64 (.f64 (*.f64 f f) (PI.f64)) #s(literal -1/12 binary64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (.f64 f (.f64 f (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal -1/12 binary64))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (.f64 f (.f64 f (.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -1/12 binary64))))))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal -1/4 binary64) (neg.f64 (log.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) 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 (neg.f64 (log.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)) (.f64 f #s(approx (/ ( -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI)) (neg.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/12 binary64)))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 f #s(approx (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI)) (.f64 (.f64 f (neg.f64 (PI.f64))) #s(literal 1/12 binary64))) (/.f64 (.f64 (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.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 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f))) (.f64 f #s(approx (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI)) (.f64 f (.f64 (neg.f64 (PI.f64)) #s(literal 1/12 binary64)))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(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)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
#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 f #s(approx (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI)) (.f64 (.f64 f (neg.f64 (PI.f64))) #s(literal 1/12 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (neg.f64 (log.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))))
(/.f64 (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (neg.f64 (log.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (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 f #s(approx (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI)) (.f64 (.f64 f (neg.f64 (PI.f64))) #s(literal 1/12 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (.f64 (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f))) #s(literal -4 binary64))))))
(neg.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 (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
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#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 (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (.f64 f #s(approx (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI)) (.f64 f (.f64 (neg.f64 (PI.f64)) #s(literal 1/12 binary64)))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
#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 (neg.f64 (log.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal -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)))
#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 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) 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 f #s(approx (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI)) (.f64 (.f64 f (neg.f64 (PI.f64))) #s(literal 1/12 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 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
(/.f64 (.f64 (neg.f64 #s(approx (log (tanh ( (PI) (* 1/4 f)))) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(neg.f64 (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
(neg.f64 (/.f64 #s(literal 4 binary64) (.f64 (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (sqrt.f64 (PI.f64)))))
(neg.f64 (/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) 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 f (/.f64 (.f64 #s(literal -2 binary64) (.f64 f (.f64 (PI.f64) (.f64 (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64))))) (PI.f64)) (.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 (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))) (cosh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 1/4 binary64) f))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
(fma.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(-.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (.f64 (PI.f64) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (.f64 (PI.f64) #s(literal -1/4 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))))) (.f64 #s(literal 1/16 binary64) (*.f64 (PI.f64) (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))))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 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 (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.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))))) (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (fma.f64 (exp.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 f #s(literal 1/2 binary64)))) (exp.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 f #s(literal 1/2 binary64)))) (neg.f64 (exp.f64 (.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))))))
(neg.f64 (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64))) #s(literal 4 binary64)) (.f64 (+.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (+.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))) (PI.f64))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (+.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))))

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

Calls

6 calls:

36.0ms	(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))))))))
23.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
22.0ms	f
20.0ms	(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
98.7%	1	`f`
98.7%	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))))))))`
98.7%	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)))))))`
98.7%	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))))))`
98.7%	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)))))`
98.7%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`

Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes67.0ms (0.4%)

Memory

22.1MiB live, 96.4MiB allocated

Counts

35 → 1

Calls

Call 1

Inputs
#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)))))))) #s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (.f64 f (.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (.f64 f (.f64 (*.f64 f #s(literal -1/12 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)))))))) #s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (.f64 f (.f64 (*.f64 (PI.f64) f) #s(literal -1/12 binary64)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (.f64 (.f64 f (*.f64 (PI.f64) f)) #s(literal -1/12 binary64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (.f64 (.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) 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)))))))) #s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (.f64 (.f64 (*.f64 f f) #s(literal -1/12 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)))))))) #s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (.f64 (.f64 (*.f64 f f) (PI.f64)) #s(literal -1/12 binary64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (.f64 f (.f64 f (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal -1/12 binary64))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (.f64 f (.f64 f (.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -1/12 binary64))))))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal -1/4 binary64) (neg.f64 (log.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) 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 (neg.f64 (log.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)) (.f64 f #s(approx (/ ( -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI)) (neg.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/12 binary64)))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 f #s(approx (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI)) (.f64 (.f64 f (neg.f64 (PI.f64))) #s(literal 1/12 binary64))) (/.f64 (.f64 (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.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 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f))) (.f64 f #s(approx (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI)) (.f64 f (.f64 (neg.f64 (PI.f64)) #s(literal 1/12 binary64)))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(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)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
#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 f #s(approx (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI)) (.f64 (.f64 f (neg.f64 (PI.f64))) #s(literal 1/12 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (neg.f64 (log.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))))
(/.f64 (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (neg.f64 (log.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (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 f #s(approx (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI)) (.f64 (.f64 f (neg.f64 (PI.f64))) #s(literal 1/12 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (.f64 (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f))) #s(literal -4 binary64))))))
(neg.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 (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
#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 (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (.f64 f #s(approx (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI)) (.f64 f (.f64 (neg.f64 (PI.f64)) #s(literal 1/12 binary64)))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
#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 (neg.f64 (log.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))

Outputs

#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 f #s(approx (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI)) (*.f64 (*.f64 f (neg.f64 (PI.f64))) #s(literal 1/12 binary64))) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) #s(literal -4 binary64)) (PI.f64))))

Calls

6 calls:

17.0ms	(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))))))))
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)))))
9.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
9.0ms	f
8.0ms	(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
96.5%	1	`f`
96.5%	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))))))))`
96.5%	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)))))))`
96.5%	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))))))`
96.5%	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)))))`
96.5%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`

Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes90.0ms (0.5%)

Memory

-5.0MiB live, 75.8MiB allocated

Counts

20 → 1

Calls

Call 1

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

Outputs

#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 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)) (*.f64 f #s(approx (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI)) (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/12 binary64)))))))

Calls

6 calls:

34.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
34.0ms	(/.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)))))
6.0ms	f
5.0ms	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
5.0ms	(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
96.4%	1	`f`
96.4%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
96.4%	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))))))))`
96.4%	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)))))))`
96.4%	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))))))`
96.4%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`

Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes80.0ms (0.4%)

Memory

-17.0MiB live, 59.8MiB allocated

Counts

19 → 1

Calls

Call 1

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

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

Calls

6 calls:

33.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
26.0ms	f
5.0ms	(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))))))
5.0ms	(/.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)))))
5.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))

Results

Accuracy	Segments	Branch
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 144 to 60 computations (58.3% saved)

regimes43.0ms (0.2%)

Memory

-3.8MiB live, 35.7MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

6 calls:

26.0ms	f
4.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
3.0ms	(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))))))))
3.0ms	(/.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)))))
3.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))

Results

Accuracy	Segments	Branch
96.1%	1	`f`
96.1%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
96.1%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
96.1%	1	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
96.1%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
96.1%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`

Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes20.0ms (0.1%)

Memory

33.9MiB live, 33.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

9 → 1

Calls

Call 1

Inputs
#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)))))))) #s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (.f64 f (.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (.f64 f (.f64 (*.f64 f #s(literal -1/12 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)))))))) #s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (.f64 f (.f64 (*.f64 (PI.f64) f) #s(literal -1/12 binary64)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (.f64 (.f64 f (*.f64 (PI.f64) f)) #s(literal -1/12 binary64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (.f64 (.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) 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)))))))) #s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (.f64 (.f64 (*.f64 f f) #s(literal -1/12 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)))))))) #s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (.f64 (.f64 (*.f64 f f) (PI.f64)) #s(literal -1/12 binary64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (.f64 f (.f64 f (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal -1/12 binary64))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (.f64 f (.f64 f (.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -1/12 binary64))))))

Outputs

#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)))))))) #s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))))

Calls

6 calls:

3.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
3.0ms	f
3.0ms	(.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)))))))
3.0ms	(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))))))
3.0ms	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))

Results

Accuracy	Segments	Branch
4.0%	1	`f`
4.0%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
4.0%	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))))))))`
4.0%	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)))))))`
4.0%	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))))))`
4.0%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`

Compiler

Compiled 144 to 60 computations (58.3% saved)

simplify49.0ms (0.3%)

Memory

-31.4MiB live, 15.6MiB allocated

Algorithm

1×	egg-herbie

Rules

42×	`*-commutative_binary64`
12×	`+-commutative_binary64`
12×	`sub-neg_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	295
1	120	295
2	135	295
3	144	295
4	148	295
5	149	295

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
#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 f #s(approx (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI)) (.f64 (.f64 f (neg.f64 (PI.f64))) #s(literal 1/12 binary64))) (/.f64 (.f64 (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.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 (neg.f64 (log.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)) (.f64 f #s(approx (/ ( -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI)) (neg.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/12 binary64)))))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) 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)))))))) #s(approx (+ (* f (/ (* -2 (* f (* (PI) (* (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))) 1/2)))) (PI))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))) (.f64 f (.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))))

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

soundness3.7s (19.6%)

Memory

-0.7MiB live, 494.7MiB allocated

Rules

12 142×	`lower-fma.f64`
12 142×	`lower-fma.f32`
7 296×	`lower-fma.f64`
7 296×	`lower-fma.f32`
6 894×	`lower-*.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	86	459
0	126	376
1	466	347
0	3172	342
0	399	8110
1	1310	7161
2	5666	6355
0	8965	6189
0	83	458
0	129	335
1	472	297
0	3137	295
0	468	7388
1	1565	6272
2	6972	6244
0	8324	6019
0	16	154
0	29	100
1	119	52
2	783	52
0	8561	52
0	190	1850
1	553	1668
2	2112	1484
0	9053	1459

Stop Event

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

Compiler

Compiled 291 to 144 computations (50.5% saved)

preprocess107.0ms (0.6%)

Memory: -11.9MiB live, 102.8MiB allocated
Compiler: Compiled 244 to 102 computations (58.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze199.0ms (1%)

sample5.7s (29.9%)

preprocess472.0ms (2.5%)

explain451.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify252.0ms (1.3%)

localize111.0ms (0.6%)

series119.0ms (0.6%)

simplify208.0ms (1.1%)

rewrite272.0ms (1.4%)

eval137.0ms (0.7%)

prune150.0ms (0.8%)

simplify360.0ms (1.9%)

localize1.2s (6.1%)

series291.0ms (1.5%)

simplify397.0ms (2.1%)

rewrite336.0ms (1.8%)

eval461.0ms (2.4%)

prune290.0ms (1.5%)

simplify261.0ms (1.4%)

localize438.0ms (2.3%)

series166.0ms (0.9%)

simplify305.0ms (1.6%)

rewrite149.0ms (0.8%)

eval125.0ms (0.7%)

prune93.0ms (0.5%)

simplify191.0ms (1%)

localize449.0ms (2.4%)

series48.0ms (0.3%)

simplify274.0ms (1.4%)

rewrite197.0ms (1%)

eval167.0ms (0.9%)

prune468.0ms (2.5%)

regimes132.0ms (0.7%)

regimes67.0ms (0.4%)

regimes90.0ms (0.5%)

regimes80.0ms (0.4%)

regimes43.0ms (0.2%)

regimes20.0ms (0.1%)

simplify49.0ms (0.3%)

soundness3.7s (19.6%)

preprocess107.0ms (0.6%)

end0.0ms (0%)

Profiling