Metrics for VandenBroeck and Keller, Equation (20)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze206.0ms (1.3%)

Memory

-18.9MiB live, 255.2MiB 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)

sample6.0s (37.8%)

Memory

140.9MiB live, 6 100.2MiB allocated

Samples

2.1s	7 147×	1	invalid
2.1s	7 556×	1	valid
317.0ms	175×	2	valid
70.0ms	525×	0	valid
1.0ms	14×	0	invalid
1.0ms	6×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 4.1s

ival-exp: 1.2s (28.9% of total)

ival-div: 644.0ms (15.8% of total)

ival-mult: 529.0ms (13% of total)

ival-log: 528.0ms (12.9% of total)

adjust: 387.0ms (9.5% of total)

ival-neg: 269.0ms (6.6% of total)

ival-sub: 209.0ms (5.1% of total)

ival-pi: 153.0ms (3.7% of total)

ival-add: 147.0ms (3.6% of total)

exact: 15.0ms (0.4% of total)

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

ival-assert: 6.0ms (0.1% of total)

Bogosity

explain438.0ms (2.8%)

Memory

-48.7MiB live, 628.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
249	0	-	2	(0.00819178446242141)	`(-.f64 (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	3	(3569.2928784396727)	1	(2.946652951371998)	`(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))))))`
2	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)))))`
1	0	-	0	-	`(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))`
1	0	-	0	-	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))`
0	0	-	0	-	`#s(literal 4 binary64)`
0	0	-	0	-	`(+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))`
0	0	-	0	-	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
0	0	-	0	-	`f`
0	0	-	0	-	`(/.f64 (PI.f64) #s(literal 4 binary64))`
0	0	-	0	-	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
0	0	-	0	-	`(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`
0	0	-	0	-	`(PI.f64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))`	cancellation	247	2
`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	5	1
`/.f64`	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`	o/o	2	0
↳	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`	overflow	2
↳	`(+.f64 (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	2
↳	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`	overflow	2
↳	`(-.f64 (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	2
`exp.f64`	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`	sensitivity	1	0
`exp.f64`	`(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	249	1
-	3	3

Precision

0.9880952380952381

Recall

0.996

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	249	1	0
-	3	2	1

Precision?

0.9803921568627451

Recall?

1.0

Freqs

test

number	freq
0	4
1	249
2	2
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

138.0ms	464×	1	valid
6.0ms	6×	2	valid
5.0ms	42×	0	valid

Compiler

Compiled 434 to 52 computations (88% saved)

Precisions

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

ival-exp: 37.0ms (31.9% of total)

ival-div: 17.0ms (14.7% of total)

ival-neg: 12.0ms (10.3% of total)

ival-mult: 12.0ms (10.3% of total)

ival-log: 12.0ms (10.3% of total)

adjust: 10.0ms (8.6% of total)

ival-sub: 5.0ms (4.3% of total)

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

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

exact: 1.0ms (0.9% of total)

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

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

preprocess549.0ms (3.5%)

Memory

4.0MiB live, 328.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Compiler

Compiled 38 to 16 computations (57.9% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.3%	(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

▶

9.3%

(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)

simplify262.0ms (1.7%)

Memory

-0.6MiB live, 270.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

localize118.0ms (0.7%)

Memory

9.8MiB live, 148.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.27205865188641587	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
accuracy	0.3991012695368841	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
accuracy	0.7539117521016504	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
accuracy	56.17534169530348	(-.f64 (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

89.0ms	232×	1	valid
3.0ms	3×	2	valid
3.0ms	21×	0	valid

Compiler

Compiled 198 to 18 computations (90.9% saved)

Precisions

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

adjust: 24.0ms (33.6% of total)

ival-exp: 16.0ms (22.4% of total)

ival-div: 8.0ms (11.2% of total)

ival-mult: 6.0ms (8.4% of total)

ival-log: 6.0ms (8.4% of total)

ival-neg: 4.0ms (5.6% of total)

ival-pi: 2.0ms (2.8% of total)

ival-sub: 2.0ms (2.8% of total)

ival-add: 2.0ms (2.8% of total)

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

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

exact: 0.0ms (0% of total)

series103.0ms (0.7%)

Memory

-19.5MiB live, 92.5MiB 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 (.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 (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 (* 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)))>
#<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))))))))>

Calls

15 calls:

Time	Variable		Point	Expression
54.0ms	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))))))))
39.0ms	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)))))

simplify211.0ms (1.3%)

Memory

32.6MiB live, 267.9MiB 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	2121	1484
0	9071	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))))))
(* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(+ (* 2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))))
(+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))) (* f (+ (* 2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))))))
(* 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)))
(+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f)))
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(-.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)))))
(* 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)))
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(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))
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(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 f (.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (.f64 (.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -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)))
(+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f)))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* 1/2 (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* f (+ (* 1/2 (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 1/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))
(-.f64 (fma.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -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 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -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)))))))

rewrite464.0ms (2.9%)

Memory

14.2MiB live, 360.8MiB allocated

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

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

Counts

7 → 561

Calls

Call 1

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

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

eval486.0ms (3.1%)

Memory: -12.7MiB live, 261.9MiB allocated
Compiler: Compiled 32 226 to 3 624 computations (88.8% saved)

prune241.0ms (1.5%)

Memory

-31.2MiB live, 272.3MiB allocated

Pruning

18 alts after pruning (18 fresh and 0 done)

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

Accuracy

99.6%

Counts

786 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.5%	(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
▶	99.1%	(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
	98.9%	(/.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)))))
	99.0%	(.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)))))
	99.0%	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
▶	98.0%	(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) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64))))
▶	98.8%	(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))))
	98.8%	(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)))))
	98.1%	(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)))))))
	98.2%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (sinh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
	98.2%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.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))))))
	98.9%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
	96.8%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
	95.4%	(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)))))
▶	95.4%	(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))))))))
	9.3%	(neg.f64 (.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.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))))))))
	96.8%	#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)))))))) (fma.f64 f (.f64 (.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))) (/.f64 #s(literal -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)))))
▶	95.5%	#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)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))

Compiler

Compiled 782 to 536 computations (31.5% saved)

simplify150.0ms (1%)

Memory

24.9MiB live, 249.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
cost-diff	128	(.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))
cost-diff	128	(neg.f64 (/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64))))
cost-diff	384	(/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
cost-diff	0	(neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
cost-diff	128	(.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
cost-diff	128	(neg.f64 (/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
cost-diff	1984	(/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
cost-diff	0	(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
cost-diff	0	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
cost-diff	128	(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
cost-diff	256	(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))))))
cost-diff	128	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
cost-diff	320	(/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff	0	(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)
cost-diff	0	(tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))
cost-diff	0	(log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
cost-diff	0	(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))

Rules

3 454×	`lower-fma.f64`
3 454×	`lower-fma.f32`
3 142×	`lower-*.f32`
3 126×	`lower-*.f64`
1 600×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	55	489
0	88	485
1	186	461
2	476	443
3	1277	443
4	3250	443
5	5296	443
0	8008	443

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

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

localize358.0ms (2.3%)

Memory

0.6MiB live, 685.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.29525375976844204	(.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))
accuracy	0.47103500976844204	(/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
accuracy	1.0	(/.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
accuracy	1.0	(cbrt.f64 (PI.f64))
accuracy	0.255463112376681	(log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
accuracy	0.265625	(.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))))
accuracy	0.3515625	(/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	0.25390625	(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
accuracy	0.4030075195368841	(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
accuracy	2.0	(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
accuracy	2.5576653519191916	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
accuracy	0.25390625	(.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))
accuracy	0.27205865188641587	(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))
accuracy	0.3991012695368841	(.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	2.4962701208812734	#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))))
accuracy	0.01953125	(tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))
accuracy	0.25390625	(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)
accuracy	0.255463112376681	(log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
accuracy	0.29296875	(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))

Samples

214.0ms	232×	1	valid
8.0ms	21×	0	valid
6.0ms	3×	2	valid

Compiler

Compiled 447 to 50 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 185.0ms

ival-mult: 49.0ms (26.5% of total)

ival-div: 34.0ms (18.4% of total)

ival-log: 24.0ms (13% of total)

ival-exp: 18.0ms (9.7% of total)

adjust: 12.0ms (6.5% of total)

ival-pow: 11.0ms (5.9% of total)

ival-neg: 9.0ms (4.9% of total)

const: 7.0ms (3.8% of total)

ival-sub: 4.0ms (2.2% of total)

ival-sqrt: 3.0ms (1.6% of total)

ival-tanh: 3.0ms (1.6% of total)

ival-cbrt: 3.0ms (1.6% of total)

ival-pi: 2.0ms (1.1% of total)

ival-add: 2.0ms (1.1% of total)

ival-fabs: 2.0ms (1.1% of total)

exact: 1.0ms (0.5% of total)

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

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

series231.0ms (1.5%)

Memory

13.2MiB live, 368.2MiB allocated

Counts

25 → 240

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 (log.f64 (/.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 #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 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))>
#<alt (/.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)))>
#<alt (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))))>
#<alt (.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))))>
#<alt (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))>
#<alt (/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))>
#<alt (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) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64))))>
#<alt (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))>
#<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 (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))>
#<alt (sqrt.f64 (PI.f64))>
#<alt (cbrt.f64 (PI.f64))>
#<alt (/.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 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))))>
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#<alt (* -4 (* (cbrt (/ 1 (pow (PI) 2))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
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#<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))))))))>
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#<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 (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>

Calls

60 calls:

Time	Variable		Point	Expression
93.0ms	f	@	-inf	(/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) 1/4))
46.0ms	f	@	inf	(/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) 1/4))
29.0ms	f	@	0	(* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))
15.0ms	f	@	-inf	(* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))
12.0ms	f	@	0	(* (neg (log (tanh (* (* (PI) 1/4) f)))) (/ 4 (sqrt (PI))))

simplify235.0ms (1.5%)

Memory

-3.1MiB live, 260.9MiB allocated

Algorithm

1×	egg-herbie

Rules

5 964×	`lower-fma.f64`
5 964×	`lower-fma.f32`
4 386×	`lower-*.f64`
4 386×	`lower-*.f32`
1 756×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	406	8006
1	1317	7065
2	5605	6224
0	8630	6065

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

rewrite346.0ms (2.2%)

Memory

-5.3MiB live, 476.5MiB allocated

Rules

4 552×	`lower-/.f32`
4 532×	`lower-/.f64`
3 228×	`lower-*.f32`
3 212×	`lower-*.f64`
2 198×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	393
0	88	262
1	325	239
2	1893	239
0	8303	239

Stop Event

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

Counts

25 → 1 201

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

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) 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 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(-.f64 (/.f64 (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) (sinh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (.f64 (PI.f64) #s(literal -1/4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (.f64 (PI.f64) #s(literal -1/4 binary64))))
(-.f64 (/.f64 #s(literal 0 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 (/.f64 #s(literal 0 binary64) (neg.f64 (cbrt.f64 (PI.f64)))) (/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (cbrt.f64 (PI.f64))) (/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(-.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (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 (/.f64 (log.f64 (expm1.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))) (.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log1p.f64 (exp.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))) (.f64 (PI.f64) #s(literal 1/4 binary64))))
(-.f64 (/.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)) #s(literal -2 binary64))))) (.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log1p.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)) #s(literal -2 binary64)))) (.f64 (PI.f64) #s(literal 1/4 binary64))))
(-.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) (sinh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (.f64 (PI.f64) #s(literal -1/4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (PI.f64)))) (/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64))))) (/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (cbrt.f64 (PI.f64))))) (/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (.f64 (PI.f64) #s(literal -1/4 binary64))))) (/.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))))
(neg.f64 (/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(neg.f64 (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (neg.f64 (.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (.f64 (PI.f64) #s(literal -1/4 binary64)))))) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (.f64 (PI.f64) #s(literal -1/4 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (PI.f64)) (.f64 #s(literal -4 binary64) (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.f64 (/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (neg.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (neg.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (PI.f64))))))
(/.f64 (.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (neg.f64 (.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal -2/3 binary64))))) (neg.f64 (cbrt.f64 (PI.f64))))
(/.f64 (.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (neg.f64 (.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal -2/3 binary64))))) (neg.f64 (neg.f64 (neg.f64 (cbrt.f64 (PI.f64))))))
(/.f64 #s(literal -1 binary64) (/.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))))
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(.f64 (/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(-.f64 #s(literal 0 binary64) (.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal -2/3 binary64)))))
(-.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #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 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/4 binary64))) (.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (*.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal -2/3 binary64)))))
(-.f64 (/.f64 (log.f64 (.f64 #s(literal -2 binary64) (cosh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #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 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/4 binary64))))
(neg.f64 (.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal -2/3 binary64)))))
(/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (neg.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (neg.f64 (.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (neg.f64 (.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 4 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/4 binary64)) (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 (neg.f64 (.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 4 binary64))) (cbrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/4 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (neg.f64 (.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 4 binary64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(/.f64 (neg.f64 (neg.f64 (.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 4 binary64)))) (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))))
(/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) #s(literal -4 binary64)) (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))))
(/.f64 (.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))))
(/.f64 (/.f64 (neg.f64 (.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 4 binary64))) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 4 binary64))))) (neg.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(/.f64 (neg.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) #s(literal -4 binary64))) (neg.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))) (neg.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(/.f64 (neg.f64 (/.f64 (neg.f64 (.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 4 binary64))) (cbrt.f64 (PI.f64)))) (neg.f64 (cbrt.f64 (PI.f64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal -2/3 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal -2/3 binary64)))) (.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal -2/3 binary64)))) (.f64 #s(literal 0 binary64) (.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (*.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal -2/3 binary64))))))))
(pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (neg.f64 (.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 4 binary64)))) #s(literal -1 binary64))
(.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (neg.f64 (.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal -2/3 binary64)))))
(.f64 #s(literal 4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -2/3 binary64)) (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))))
(.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal -2/3 binary64))))
(.f64 (.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal -2/3 binary64))) (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))
(.f64 #s(literal -1 binary64) (.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (*.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal -2/3 binary64)))))
(.f64 (neg.f64 (.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) #s(literal 4 binary64))) (pow.f64 (PI.f64) #s(literal -2/3 binary64)))
(.f64 (/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (neg.f64 (cbrt.f64 (PI.f64)))) (/.f64 #s(literal 4 binary64) (cbrt.f64 (PI.f64))))
(.f64 (.f64 (.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal -2/3 binary64))) #s(literal -1 binary64)) (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))
(.f64 #s(literal 1 binary64) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) #s(literal 1 binary64))
(.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) f))
(.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) f))
(.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)
(.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))
(.f64 (.f64 f #s(literal 1/2 binary64)) (PI.f64))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1 binary64)))
(fabs.f64 (sqrt.f64 (PI.f64)))
(fabs.f64 (neg.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 2/3 binary64)))
(fabs.f64 (cbrt.f64 (PI.f64)))
(sqrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(cbrt.f64 (PI.f64))
(pow.f64 (PI.f64) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64))
(pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/9 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (pow.f64 (PI.f64) #s(literal 1/9 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (pow.f64 (PI.f64) #s(literal 2/9 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/9 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 4/9 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 2/3 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 2/3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/9 binary64))) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal 4 binary64) (cbrt.f64 (PI.f64)))))
(/.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(/.f64 #s(literal 4 binary64) (neg.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(/.f64 #s(literal -4 binary64) (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))))
(/.f64 #s(literal -4 binary64) (neg.f64 (neg.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/4 binary64))))
(/.f64 (/.f64 #s(literal 4 binary64) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(/.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (cbrt.f64 (PI.f64)))) (neg.f64 (cbrt.f64 (PI.f64))))
(pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal -2/3 binary64))))
(*.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal -2/3 binary64)))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/3 binary64)) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -2/3 binary64)) #s(literal 4 binary64))

eval330.0ms (2.1%)

Memory: 31.3MiB live, 589.9MiB allocated
Compiler: Compiled 47 862 to 4 472 computations (90.7% saved)

prune186.0ms (1.2%)

Memory

-19.9MiB live, 450.2MiB allocated

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	1 811	23	1 834
Fresh	11	2	13
Picked	4	1	5
Done	0	0	0
Total	1 826	26	1 852

Accuracy

100.0%

Counts

1 852 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.5%	(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)) #s(literal -2 binary64))))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)) #s(literal -2 binary64)))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)) #s(literal -2 binary64))))) (log1p.f64 (neg.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)) #s(literal -2 binary64))))) (fma.f64 (log1p.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)) #s(literal -2 binary64)))) (log1p.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)) #s(literal -2 binary64)))) (.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)) #s(literal -2 binary64)))))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
▶	98.1%	(/.f64 (/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))) (sqrt.f64 (PI.f64)))
	97.9%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (neg.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))))) (.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (sqrt.f64 (PI.f64))))
	99.0%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (neg.f64 (.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) #s(literal 4 binary64))))) (.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (PI.f64)))
	10.5%	(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)) #s(literal -2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
	10.1%	(/.f64 (+.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)) #s(literal -2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)) #s(literal -2 binary64))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
✓	99.1%	(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
	96.7%	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (fma.f64 (fma.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (.f64 f f) (.f64 #s(literal 1/4 binary64) (PI.f64)))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
▶	95.6%	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
	98.8%	(.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)))) (sqrt.f64 (PI.f64))))
	10.5%	(neg.f64 (/.f64 (.f64 (neg.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)) #s(literal -2 binary64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
	95.3%	(neg.f64 (/.f64 (.f64 (neg.f64 (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
	95.4%	(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (PI.f64)))))
▶	99.0%	(neg.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))))
	98.9%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
▶	96.8%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
	95.4%	(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 1 binary64) (/.f64 f (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))))
	94.9%	(neg.f64 (.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
▶	94.5%	#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)))))))) (/.f64 (/.f64 (.f64 (neg.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
	95.3%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (neg.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))))
	94.5%	#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)))))))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (neg.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))))))
	95.4%	#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)))))))) (-.f64 (/.f64 (log.f64 #s(literal 4 binary64)) (.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (.f64 (PI.f64) f)) (*.f64 (PI.f64) #s(literal -1/4 binary64)))))
	95.3%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 (neg.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))))
	95.4%	#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)))))))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
	95.4%	#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)))))))) (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
	95.5%	#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)))))))) (.f64 (-.f64 (neg.f64 (log.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))

Compiler

Compiled 1 168 to 730 computations (37.5% saved)

simplify247.0ms (1.6%)

Memory

43.8MiB live, 391.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))
cost-diff	0	(log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))
cost-diff	0	(/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
cost-diff	1984	(/.f64 (/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))) (sqrt.f64 (PI.f64)))
cost-diff	320	(.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))
cost-diff	320	(.f64 (.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64))
cost-diff	576	(fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (.f64 (.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff	0	(/.f64 (.f64 (neg.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal -4 binary64)) (sqrt.f64 (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 (.f64 (neg.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
cost-diff	128	(.f64 (neg.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal -4 binary64))
cost-diff	1984	(/.f64 (/.f64 (.f64 (neg.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal -4 binary64)) (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	(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
cost-diff	128	(neg.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))))
cost-diff	320	(.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
cost-diff	2112	(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))

Rules

14 354×	`lower-fma.f32`
14 350×	`lower-fma.f64`
4 358×	`lower-+.f32`
4 356×	`lower-+.f64`
3 536×	`lower-*.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	668
0	110	654
1	258	580
2	688	531
3	2054	515
4	4337	515
0	8293	515

Stop Event

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

Calls

Call 1

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

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

localize394.0ms (2.5%)

Memory

-39.5MiB live, 644.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.255463112376681	(log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))
accuracy	0.3515625	(/.f64 (/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))) (sqrt.f64 (PI.f64)))
accuracy	0.37109375	(/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	0.703125	(.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64))))
accuracy	1.0	(fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (.f64 (.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))
accuracy	1.0	(.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))
accuracy	1.5910619247600513	#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
accuracy	0.359375	(/.f64 (/.f64 (.f64 (neg.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
accuracy	0.36328125	(/.f64 (.f64 (neg.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64)))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	2.5576653519191916	#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 (.f64 (neg.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
accuracy	0.25390625	(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy	0.255463112376681	(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
accuracy	0.29296875	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
accuracy	2.4849615026084106	#s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))
accuracy	0.25390625	(*.f64 (PI.f64) f)
accuracy	0.255463112376681	(log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))
accuracy	0.265625	(.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
accuracy	1.0	(sqrt.f64 (PI.f64))

Samples

280.0ms	232×	1	valid
9.0ms	21×	0	valid
7.0ms	3×	2	valid

Compiler

Compiled 546 to 61 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 189.0ms

ival-mult: 62.0ms (32.9% of total)

ival-div: 34.0ms (18% of total)

ival-log: 24.0ms (12.7% of total)

ival-exp: 18.0ms (9.5% of total)

adjust: 13.0ms (6.9% of total)

ival-neg: 9.0ms (4.8% of total)

ival-add: 8.0ms (4.2% of total)

const: 5.0ms (2.7% of total)

ival-tanh: 5.0ms (2.7% of total)

ival-sqrt: 4.0ms (2.1% of total)

ival-pi: 2.0ms (1.1% of total)

ival-sub: 2.0ms (1.1% of total)

exact: 1.0ms (0.5% of total)

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

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

series111.0ms (0.7%)

Memory

8.0MiB live, 124.1MiB allocated

Counts

24 → 216

Calls

Call 1

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

Outputs
#<alt (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
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#<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 (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<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 (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>

Calls

54 calls:

Time	Variable		Point	Expression
71.0ms	f	@	-inf	(/ (/ (* (neg (log (* 1/4 (* (PI) f)))) -4) (sqrt (PI))) (sqrt (PI)))
15.0ms	f	@	0	(/ (/ (* (neg (log (* 1/4 (* (PI) f)))) -4) (sqrt (PI))) (sqrt (PI)))
6.0ms	f	@	inf	(/ (/ (* (neg (log (* 1/4 (* (PI) f)))) -4) (sqrt (PI))) (sqrt (PI)))
1.0ms	f	@	0	(* (neg (log (tanh (* 1/4 (* (PI) f))))) (/ 1 (sqrt (PI))))
1.0ms	f	@	0	(* f (+ (* 1/16 (+ (PI) (PI))) (* (* 1/192 (* 2 (+ (PI) (PI)))) -2)))

simplify281.0ms (1.8%)

Memory

43.4MiB live, 354.3MiB allocated

Algorithm

1×	egg-herbie

Rules

13 430×	`lower-fma.f64`
13 430×	`lower-fma.f32`
4 304×	`lower-*.f64`
4 304×	`lower-*.f32`
4 028×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	354	6595
1	1129	5851
2	4744	5162
0	9488	5026

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

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)))
(* -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))))))))))
(* 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)))
(* 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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(/.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 (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 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 (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 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))))))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))

rewrite172.0ms (1.1%)

Memory

-28.1MiB live, 169.6MiB allocated

Rules

1 604×	`lower-*.f32`
1 578×	`lower-*.f64`
1 230×	`lower-fma.f32`
1 226×	`lower-fma.f64`
1 172×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	339
0	103	270
1	400	234
0	2802	231

Stop Event

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

Counts

24 → 691

Calls

Call 1

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

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 (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 (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 (sqrt.f64 (PI.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) (/.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 (/.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 (/.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 (/.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)))
(/.f64 (.f64 #s(literal 4 binary64) (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (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 (neg.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 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal -4 binary64)) (neg.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 (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 (/.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))) #s(literal 1 binary64)) (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 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 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal -1/4 binary64))) #s(literal -1 binary64)) (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 #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) (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 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 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (neg.f64 (sqrt.f64 (PI.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 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (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 1 binary64) (sqrt.f64 (PI.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 (/.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 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(.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 1 binary64) (PI.f64)) (.f64 #s(literal 4 binary64) (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))))
(.f64 (/.f64 #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 (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))))
(.f64 (.f64 (neg.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 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) #s(literal 4 binary64))
(.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))))
(.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))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (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 1 binary64) (PI.f64))) #s(literal 4 binary64))
(.f64 (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal -1 binary64)) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))
(.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (neg.f64 (PI.f64))) #s(literal -4 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (sqrt.f64 (PI.f64))))
(-.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (sqrt.f64 (PI.f64))))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (sqrt.f64 (PI.f64))))
(neg.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (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 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))))
(/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (PI.f64))))
(.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))
(.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(.f64 #s(literal 1 binary64) (/.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 1 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(.f64 #s(literal -1 binary64) (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) #s(literal -1 binary64)) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))
(+.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 #s(literal -4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(neg.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)))) (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 (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 (neg.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 (neg.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)) (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal -1/4 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) f)))) (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f)))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f))))))
(/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (.f64 #s(literal 2 binary64) (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))))
(/.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) f))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) f)))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f)))))
(/.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (.f64 #s(literal -2 binary64) (cosh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))
(/.f64 (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (+.f64 (exp.f64 (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)) (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))))))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))))
(/.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) f)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) f))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f))))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f))))))
(.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))))
(.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) f))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) f))))))
(.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f))))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64))))) (+.f64 (exp.f64 (fma.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (expm1.f64 (fma.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)) (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)))
(fabs.f64 (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(/.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal -1 binary64))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (sqrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (PI.f64) f)
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) f))
(*.f64 f (PI.f64))
(.f64 #s(literal 1 binary64) (.f64 (PI.f64) f))
(.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) f))
(.f64 (.f64 f (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 f #s(literal 1 binary64)) (PI.f64))
(.f64 (.f64 f (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64) (+.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(+.f64 (.f64 f (.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64))) (*.f64 f (+.f64 (PI.f64) (PI.f64))))
(+.f64 (.f64 f (+.f64 (PI.f64) (PI.f64))) (.f64 f (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64))))
(fma.f64 f (+.f64 (PI.f64) (PI.f64)) (.f64 f (.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64))))
(fma.f64 f (.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)) (.f64 f (+.f64 (PI.f64) (PI.f64))))
(fma.f64 #s(literal 1/16 binary64) (.f64 f (+.f64 (PI.f64) (PI.f64))) (.f64 f (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64))))
(fma.f64 (+.f64 (PI.f64) (PI.f64)) f (.f64 f (.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64))))
(fma.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 #s(literal -2 binary64) f) (.f64 f (+.f64 (PI.f64) (PI.f64))))
(fma.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 1/16 binary64) f) (.f64 f (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64))))
(fma.f64 #s(literal 1/192 binary64) (.f64 f (.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64))) (*.f64 f (+.f64 (PI.f64) (PI.f64))))
(fma.f64 #s(literal -2 binary64) (.f64 f (+.f64 (PI.f64) (PI.f64))) (.f64 f (+.f64 (PI.f64) (PI.f64))))
(fma.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)) f (.f64 f (+.f64 (PI.f64) (PI.f64))))
(fma.f64 (.f64 f (+.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (.f64 f (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64))))
(fma.f64 (.f64 f (+.f64 (PI.f64) (PI.f64))) #s(literal -2 binary64) (.f64 f (+.f64 (PI.f64) (PI.f64))))
(fma.f64 (.f64 f #s(literal 1/16 binary64)) (+.f64 (PI.f64) (PI.f64)) (.f64 f (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64))))
(fma.f64 (.f64 f #s(literal 1/192 binary64)) (.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)) (*.f64 f (+.f64 (PI.f64) (PI.f64))))
(fma.f64 (.f64 f #s(literal -2 binary64)) (+.f64 (PI.f64) (PI.f64)) (.f64 f (+.f64 (PI.f64) (PI.f64))))
(/.f64 (+.f64 (pow.f64 (.f64 f (+.f64 (PI.f64) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (.f64 f (.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 f (+.f64 (PI.f64) (PI.f64))) (.f64 f (+.f64 (PI.f64) (PI.f64))) (-.f64 (.f64 (.f64 f (.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64))) (.f64 f (.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)))) (.f64 (.f64 f (+.f64 (PI.f64) (PI.f64))) (.f64 f (.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 f (+.f64 (PI.f64) (PI.f64))) (.f64 f (+.f64 (PI.f64) (PI.f64)))) (.f64 (.f64 f (.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64))) (.f64 f (.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64))))) (-.f64 (.f64 f (+.f64 (PI.f64) (PI.f64))) (.f64 f (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)))))
(/.f64 (.f64 f (fma.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) #s(literal -8 binary64)))) (fma.f64 (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)) (-.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)) (+.f64 (PI.f64) (PI.f64))))))
(/.f64 (.f64 f (.f64 (fma.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64) (+.f64 (PI.f64) (PI.f64))) (+.f64 (PI.f64) (PI.f64)))) (+.f64 (PI.f64) (PI.f64)))
(/.f64 (.f64 (fma.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (.f64 (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) #s(literal -8 binary64))) f) (fma.f64 (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)) (-.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)) (+.f64 (PI.f64) (PI.f64))))))
(/.f64 (.f64 (.f64 (fma.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64) (+.f64 (PI.f64) (PI.f64))) (+.f64 (PI.f64) (PI.f64))) f) (+.f64 (PI.f64) (PI.f64)))
(*.f64 f (fma.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64) (+.f64 (PI.f64) (PI.f64))))
(*.f64 (fma.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64) (+.f64 (PI.f64) (PI.f64))) f)

eval167.0ms (1.1%)

Memory: 16.1MiB live, 314.9MiB allocated
Compiler: Compiled 28 191 to 4 045 computations (85.7% saved)

prune173.0ms (1.1%)

Memory

8.0MiB live, 232.3MiB allocated

Pruning

28 alts after pruning (26 fresh and 2 done)

	Pruned	Kept	Total
New	1 056	21	1 077
Fresh	15	5	20
Picked	4	1	5
Done	0	1	1
Total	1 075	28	1 103

Accuracy

100.0%

Counts

1 103 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.5%	(/.f64 (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f))))) (log1p.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))) (sqrt.f64 (PI.f64)))
▶	94.5%	(/.f64 (/.f64 (log.f64 #s(approx (tanh (* 1/4 (* (PI) f))) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))) (sqrt.f64 (PI.f64)))
	97.9%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (neg.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))))) (.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (sqrt.f64 (PI.f64))))
▶	99.0%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (neg.f64 (.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) #s(literal 4 binary64))))) (.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (PI.f64)))
	10.5%	(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)) #s(literal -2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
	98.0%	(/.f64 (neg.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)) (sqrt.f64 (PI.f64))))
✓	99.1%	(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
	95.6%	(/.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)))
	95.6%	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
✓	95.6%	(/.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)))
	95.3%	(/.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))))))
	95.4%	(/.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))))
	98.8%	(.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
▶	95.4%	(.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)))))
	98.4%	(.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 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))
	96.6%	(neg.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (.f64 (neg.f64 (log.f64 #s(approx (tanh (* 1/4 (* (PI) f))) (.f64 f (fma.f64 f (.f64 f (fma.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))))
	95.5%	(neg.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (.f64 (neg.f64 (log.f64 #s(approx (tanh (* 1/4 (* (PI) f))) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))))
▶	98.9%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
	95.5%	(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 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (.f64 (fma.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64) (.f64 #s(literal -1/192 binary64) (.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
	95.5%	(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 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (PI.f64))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
	95.6%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 1/96 binary64) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
▶	96.8%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f #s(approx (* f (+ (* 1/16 (+ (PI) (PI))) (* (* 1/192 (* 2 (+ (PI) (PI)))) -2))) (.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
	95.3%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 4 binary64) (log.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
	95.3%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (log.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (sqrt.f64 (PI.f64))))
	94.6%	#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)))))))) (/.f64 #s(literal -1 binary64) (.f64 (/.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 4 binary64) (log.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (neg.f64 (sqrt.f64 (PI.f64))))))
	95.3%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.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)))))
	95.4%	#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)))))))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
	94.9%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (neg.f64 (log.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))))

Compiler

Compiled 1 118 to 764 computations (31.7% saved)

simplify162.0ms (1%)

Memory

19.2MiB live, 244.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
cost-diff	128	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
cost-diff	576	(log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff	0	(/.f64 (PI.f64) #s(literal 4 binary64))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f #s(approx (* f (+ (* 1/16 (+ (PI) (PI))) (* (* 1/192 (* 2 (+ (PI) (PI)))) -2))) (.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
cost-diff	128	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f #s(approx (* f (+ (* 1/16 (+ (PI) (PI))) (* (* 1/192 (* 2 (+ (PI) (PI)))) -2))) (.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff	0	#s(approx (tanh (* 1/4 (* (PI) f))) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))
cost-diff	0	(log.f64 #s(approx (tanh (* 1/4 (* (PI) f))) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
cost-diff	0	(/.f64 (log.f64 #s(approx (tanh (* 1/4 (* (PI) f))) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
cost-diff	1984	(/.f64 (/.f64 (log.f64 #s(approx (tanh (* 1/4 (* (PI) f))) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))) (sqrt.f64 (PI.f64)))
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	(PI.f64)
cost-diff	0	(/.f64 #s(literal 4 binary64) (PI.f64))
cost-diff	0	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))
cost-diff	128	(neg.f64 (.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 4 binary64)))
cost-diff	320	(*.f64 #s(literal 0 binary64) (PI.f64))
cost-diff	640	(.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (neg.f64 (.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 4 binary64))))
cost-diff	768	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (neg.f64 (.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) #s(literal 4 binary64))))) (.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (PI.f64)))

Rules

3 782×	`lower-fma.f32`
3 780×	`lower-fma.f64`
3 708×	`lower-*.f32`
3 672×	`lower-*.f64`
2 606×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	687
0	123	672
1	282	619
2	693	559
3	2534	543
4	6137	543
0	8249	543

Stop Event

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

Calls

Call 1

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

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

localize390.0ms (2.5%)

Memory

-7.8MiB live, 620.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.25	(/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
accuracy	0.25390625	(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)
accuracy	0.27205865188641587	(log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
accuracy	0.3991012695368841	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
accuracy	0.3991012695368841	(.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 #s(approx (* f (+ (* 1/16 (+ (PI) (PI))) (* (* 1/192 (* 2 (+ (PI) (PI)))) -2))) (.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
accuracy	0.703125	(.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))
accuracy	1.0	(*.f64 (PI.f64) #s(literal 1/12 binary64))
accuracy	1.5910619247600513	#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f #s(approx (* f (+ (* 1/16 (+ (PI) (PI))) (* (* 1/192 (* 2 (+ (PI) (PI)))) -2))) (.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
accuracy	0.3515625	(/.f64 (/.f64 (log.f64 #s(approx (tanh (* 1/4 (* (PI) f))) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))) (sqrt.f64 (PI.f64)))
accuracy	0.37109375	(/.f64 (log.f64 #s(approx (tanh (* 1/4 (* (PI) f))) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	2.4849615026084106	#s(approx (tanh (* 1/4 (* (PI) f))) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))
accuracy	0.25390625	(.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))
accuracy	0.255463112376681	(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))
accuracy	0.3991012695368841	(.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)))))
accuracy	2.4849615026084106	#s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))
accuracy	0.25390625	(*.f64 (PI.f64) f)
accuracy	0.255463112376681	(log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))
accuracy	0.32259750976844204	(.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (neg.f64 (.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 4 binary64))))
accuracy	0.41539003907376804	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (neg.f64 (.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) #s(literal 4 binary64))))) (.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (PI.f64)))

Samples

264.0ms	232×	1	valid
12.0ms	3×	2	valid
12.0ms	21×	0	valid

Compiler

Compiled 507 to 68 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 226.0ms

ival-mult: 75.0ms (33.1% of total)

ival-log: 28.0ms (12.4% of total)

ival-div: 25.0ms (11% of total)

ival-neg: 21.0ms (9.3% of total)

ival-exp: 17.0ms (7.5% of total)

adjust: 15.0ms (6.6% of total)

ival-tanh: 14.0ms (6.2% of total)

ival-add: 12.0ms (5.3% of total)

const: 9.0ms (4% of total)

ival-sub: 4.0ms (1.8% of total)

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

ival-pi: 2.0ms (0.9% of total)

exact: 1.0ms (0.4% of total)

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

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

series158.0ms (1%)

Memory

18.1MiB live, 132.3MiB allocated

Counts

29 → 264

Calls

Call 1

Inputs
#<alt (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (neg.f64 (.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) #s(literal 4 binary64))))) (.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (PI.f64)))>
#<alt (.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (neg.f64 (.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 0 binary64) (PI.f64))>
#<alt (neg.f64 (.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 4 binary64)))>
#<alt (.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)))))>
#<alt (/.f64 #s(literal 4 binary64) (PI.f64))>
#<alt (PI.f64)>
#<alt (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))>
#<alt (/.f64 (/.f64 (log.f64 #s(approx (tanh (* 1/4 (* (PI) f))) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))) (sqrt.f64 (PI.f64)))>
#<alt (/.f64 (log.f64 #s(approx (tanh (* 1/4 (* (PI) f))) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))>
#<alt (log.f64 #s(approx (tanh (* 1/4 (* (PI) f))) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))>
#<alt #s(approx (tanh (* 1/4 (* (PI) f))) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))>
#<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 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f #s(approx (* f (+ (* 1/16 (+ (PI) (PI))) (* (* 1/192 (* 2 (+ (PI) (PI)))) -2))) (.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f #s(approx (* f (+ (* 1/16 (+ (PI) (PI))) (* (* 1/192 (* 2 (+ (PI) (PI)))) -2))) (.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))>
#<alt (/.f64 (PI.f64) #s(literal 4 binary64))>
#<alt (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))>
#<alt (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))>
#<alt (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))>
#<alt (*.f64 (PI.f64) f)>
#<alt #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))>
#<alt (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))>
#<alt (sqrt.f64 (PI.f64))>
#<alt #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f #s(approx (* f (+ (* 1/16 (+ (PI) (PI))) (* (* 1/192 (* 2 (+ (PI) (PI)))) -2))) (.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))>
#<alt (*.f64 (PI.f64) #s(literal 1/12 binary64))>
#<alt (.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))>
#<alt (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)>
#<alt (/.f64 #s(literal 1 binary64) (tanh.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)))>
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#<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 (* 1/12 (* f (PI)))>
#<alt (* 1/12 (* f (PI)))>
#<alt (* 1/12 (* f (PI)))>
#<alt (* 1/12 (* f (PI)))>
#<alt (* 1/12 (* f (PI)))>
#<alt (* 1/12 (* f (PI)))>
#<alt (* 1/12 (* f (PI)))>
#<alt (* 1/12 (* f (PI)))>
#<alt (* 1/12 (* f (PI)))>
#<alt (* 1/12 (* f (PI)))>
#<alt (* 1/12 (* f (PI)))>
#<alt (* 1/12 (* 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 (/ (+ (* -8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))) (* 4 (/ 1 (PI)))) f)>
#<alt (/ (+ (* f (- (* -1 (* f (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))) (* 4 (/ 1 (PI)))) f)>
#<alt (/ (+ (* f (- (* f (- (* -1 (* f (+ (* -32 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 3))) (+ (* -2 (/ (* (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (pow (PI) 2))))))) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))) (* 4 (/ 1 (PI)))) f)>
#<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)))))))>

Calls

66 calls:

Time	Variable		Point	Expression
55.0ms	f	@	-inf	(log (/ 1 (tanh (* (* (PI) 1/4) f))))
46.0ms	f	@	inf	(log (/ 1 (tanh (* (* (PI) 1/4) f))))
35.0ms	f	@	0	(* (/ 1 (/ (PI) 4)) (log (/ 1 (tanh (* (* (PI) 1/4) f)))))
2.0ms	f	@	0	(log (/ 1 (tanh (* (* (PI) 1/4) f))))
1.0ms	f	@	0	(neg (* (/ 1 (/ (PI) 4)) (log (/ 1 (tanh (* (* (PI) 1/4) f))))))

simplify529.0ms (3.4%)

Memory

-83.5MiB live, 285.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6 528×	`lower-fma.f64`
6 528×	`lower-fma.f32`
4 448×	`lower-*.f64`
4 448×	`lower-*.f32`
2 066×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	440	9778
1	1450	8383
2	6478	7252
0	8895	6987

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

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)))
(* (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 (* (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))))))) (* 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)))) (* f (+ (* 1/6 (* f (* (PI) (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))))) (* 1/2 (* (PI) (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))))))) (* (PI) (+ (log f) (log (* 1/4 (PI))))))
(* (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(* (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(* (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(* (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(* (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(* (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(* (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(* (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(* -4 (+ (log f) (log (* 1/4 (PI)))))
(- (* -8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI))) (* 4 (+ (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)))))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))))) (* 4 (+ (log f) (log (* 1/4 (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))))))) (* 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))))))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))))) (* 4 (+ (log f) (log (* 1/4 (PI))))))
(* -4 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(* -4 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(* -4 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(* -4 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(* -4 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(* -4 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(* -4 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(* -4 (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)))
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(/ (+ (* -8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))) (* 4 (/ 1 (PI)))) f)
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 0 binary64)) f)
(/ (+ (* f (- (* -1 (* f (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))) (* 4 (/ 1 (PI)))) f)
(/.f64 (fma.f64 f (neg.f64 (.f64 (/.f64 (fma.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64)) (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)))) (.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 16 binary64) f))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(/ (+ (* f (- (* f (- (* -1 (* f (+ (* -32 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 3))) (+ (* -2 (/ (* (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (pow (PI) 2))))))) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))) (* 4 (/ 1 (PI)))) f)
(/.f64 (fma.f64 f (fma.f64 f (fma.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (.f64 (PI.f64) #s(literal -1/4 binary64)))) (.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal 1/1024 binary64) (.f64 #s(literal -1/3072 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (PI.f64))))) (.f64 #s(literal 1/8 binary64) (.f64 (PI.f64) (fma.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))))) (.f64 (PI.f64) (PI.f64))) #s(literal 0 binary64)) (neg.f64 f) (.f64 #s(literal -16 binary64) (/.f64 (fma.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64)) (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)))) (*.f64 (PI.f64) (PI.f64))))) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (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))))))
(/ (+ (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 #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))))))
(/ (+ (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 #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))))))
(/ (+ (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 #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))))))
(/ (+ (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 #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))))))
(/ (+ (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 #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))))))
(/ (+ (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 #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))))))
(/ (+ (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 #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))))))

rewrite193.0ms (1.2%)

Memory

-16.3MiB live, 144.1MiB allocated

Rules

1 722×	`lower-*.f32`
1 686×	`lower-*.f64`
1 262×	`lower-fma.f32`
1 260×	`lower-fma.f64`
1 160×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	442
0	123	349
1	439	331
0	2878	328

Stop Event

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

Counts

29 → 499

Calls

Call 1

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

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

eval270.0ms (1.7%)

Memory: 12.7MiB live, 205.0MiB allocated
Compiler: Compiled 27 537 to 3 087 computations (88.8% saved)

prune205.0ms (1.3%)

Memory

7.3MiB live, 172.0MiB allocated

Pruning

32 alts after pruning (29 fresh and 3 done)

	Pruned	Kept	Total
New	1 092	14	1 106
Fresh	6	15	21
Picked	4	1	5
Done	0	2	2
Total	1 102	32	1 134

Accuracy

100.0%

Counts

1 134 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.5%	(/.f64 (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f))))) (log1p.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))) (sqrt.f64 (PI.f64)))
	95.3%	(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))
	97.9%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))) (.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (neg.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))))) (.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (sqrt.f64 (PI.f64))))
	10.5%	(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)) #s(literal -2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
	95.3%	(/.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (sqrt.f64 (PI.f64)))
	99.0%	(/.f64 (.f64 (.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
	98.0%	(/.f64 (neg.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)) (sqrt.f64 (PI.f64))))
✓	99.1%	(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
	97.0%	(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f #s(approx (* f (+ (* 1/16 (+ (PI) (PI))) (* (* 1/192 (* 2 (+ (PI) (PI)))) -2))) (.f64 (PI.f64) (.f64 f #s(literal 1/12 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
	95.6%	(/.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)))
	95.6%	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
✓	95.6%	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
	98.9%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64))) (.f64 (.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))))
	95.3%	(/.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))))))
	95.4%	(/.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))))
	94.1%	(.f64 (/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))
	95.3%	(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (sqrt.f64 (PI.f64))))
✓	95.4%	(.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)))))
	99.1%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/4 binary64)))) (.f64 (.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))
	98.4%	(.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 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))
	94.9%	(.f64 (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))
	96.7%	(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 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 #s(approx (* f (+ (* 1/16 (+ (PI) (PI))) (* (* 1/192 (* 2 (+ (PI) (PI)))) -2))) (.f64 (PI.f64) (.f64 f #s(literal 1/12 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))))
	96.6%	(neg.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (.f64 (neg.f64 (log.f64 #s(approx (tanh (* 1/4 (* (PI) f))) (.f64 f (fma.f64 f (.f64 f (fma.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))))
	95.5%	(neg.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (.f64 (neg.f64 (log.f64 #s(approx (tanh (* 1/4 (* (PI) f))) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))))
	98.9%	(neg.f64 (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
	96.8%	(neg.f64 (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f #s(approx (* f (+ (* 1/16 (+ (PI) (PI))) (* (* 1/192 (* 2 (+ (PI) (PI)))) -2))) (.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
	98.4%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
	95.5%	(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 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (.f64 (fma.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64) (.f64 #s(literal -1/192 binary64) (.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
	95.5%	(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 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (PI.f64))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
	95.6%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 1/96 binary64) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
	96.8%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f #s(approx (* f (+ (* 1/16 (+ (PI) (PI))) (* (* 1/192 (* 2 (+ (PI) (PI)))) -2))) (.f64 f (.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/12 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
	95.4%	#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)))))))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) (/.f64 #s(literal -4 binary64) (PI.f64))))

Compiler

Compiled 2 250 to 818 computations (63.6% saved)

regimes179.0ms (1.1%)

Memory

-9.9MiB live, 66.5MiB allocated

Counts

77 → 1

Calls

Call 1

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

57.0ms	f
55.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
16.0ms	(/.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)))))
16.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
16.0ms	(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
99.1%	1	`f`
99.1%	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))))))))`
99.1%	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)))))))`
99.1%	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))))))`
99.1%	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)))))`
99.1%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`

Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes114.0ms (0.7%)

Memory

-11.4MiB live, 69.1MiB allocated

Counts

43 → 1

Calls

Call 1

Inputs
(.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)))
#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 -4 binary64) (PI.f64)) (neg.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(/.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)))
#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 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (neg.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))))
(/.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) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #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 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (PI.f64)))))
(.f64 (/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(/.f64 (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 #s(approx (* f (+ (* 1/16 (+ (PI) (PI))) (* (* 1/192 (* 2 (+ (PI) (PI)))) -2))) (.f64 (PI.f64) (.f64 f #s(literal 1/12 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f #s(approx (* f (+ (* 1/16 (+ (PI) (PI))) (* (* 1/192 (* 2 (+ (PI) (PI)))) -2))) (.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (log.f64 #s(approx (tanh (* 1/4 (* (PI) f))) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 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)))))))) (.f64 (/.f64 (neg.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) 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)))))))) (.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)))))))) (/.f64 (.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (log.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (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)))))))) (/.f64 (/.f64 (.f64 (neg.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(neg.f64 (/.f64 (.f64 (neg.f64 (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(.f64 (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 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)))))))) (.f64 (neg.f64 (log.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 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)))))))) (/.f64 #s(literal -1 binary64) (.f64 (/.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 4 binary64) (log.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (neg.f64 (sqrt.f64 (PI.f64))))))
(neg.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (.f64 (neg.f64 (log.f64 #s(approx (tanh (* 1/4 (* (PI) f))) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (/.f64 f (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f #s(approx (* f (+ (* 1/16 (+ (PI) (PI))) (* (* 1/192 (* 2 (+ (PI) (PI)))) -2))) (.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 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 #s(approx (* f (+ (* 1/16 (+ (PI) (PI))) (* (* 1/192 (* 2 (+ (PI) (PI)))) -2))) (.f64 (PI.f64) (.f64 f #s(literal 1/12 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)))))))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 4 binary64) (log.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (neg.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (fma.f64 (fma.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (.f64 f f) (.f64 #s(literal 1/4 binary64) (PI.f64)))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #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 (fma.f64 f (.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 1/96 binary64) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (PI.f64))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f #s(approx (* f (+ (* 1/16 (+ (PI) (PI))) (* (* 1/192 (* 2 (+ (PI) (PI)))) -2))) (.f64 f (.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/12 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (.f64 (fma.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64) (.f64 #s(literal -1/192 binary64) (.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (.f64 (neg.f64 (log.f64 #s(approx (tanh (* 1/4 (* (PI) f))) (.f64 f (fma.f64 f (.f64 f (fma.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64))))))) (/.f64 #s(literal 1 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)))))))) (.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 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))

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

Calls

6 calls:

44.0ms	(/.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)))))
28.0ms	f
11.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
9.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
9.0ms	(.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
99.0%	1	`f`
99.0%	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))))))))`
99.0%	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)))))))`
99.0%	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))))))`
99.0%	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)))))`
99.0%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`

Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes108.0ms (0.7%)

Memory

0.9MiB live, 74.0MiB allocated

Counts

42 → 1

Calls

Call 1

Inputs
(.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)))
#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 -4 binary64) (PI.f64)) (neg.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(/.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)))
#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 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (neg.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))))
(/.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) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #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 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (PI.f64)))))
(.f64 (/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(/.f64 (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 #s(approx (* f (+ (* 1/16 (+ (PI) (PI))) (* (* 1/192 (* 2 (+ (PI) (PI)))) -2))) (.f64 (PI.f64) (.f64 f #s(literal 1/12 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f #s(approx (* f (+ (* 1/16 (+ (PI) (PI))) (* (* 1/192 (* 2 (+ (PI) (PI)))) -2))) (.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (log.f64 #s(approx (tanh (* 1/4 (* (PI) f))) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 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)))))))) (.f64 (/.f64 (neg.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) 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)))))))) (.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)))))))) (/.f64 (.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (log.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (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)))))))) (/.f64 (/.f64 (.f64 (neg.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(neg.f64 (/.f64 (.f64 (neg.f64 (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(.f64 (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 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)))))))) (.f64 (neg.f64 (log.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 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)))))))) (/.f64 #s(literal -1 binary64) (.f64 (/.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 4 binary64) (log.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (neg.f64 (sqrt.f64 (PI.f64))))))
(neg.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (.f64 (neg.f64 (log.f64 #s(approx (tanh (* 1/4 (* (PI) f))) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (/.f64 f (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f #s(approx (* f (+ (* 1/16 (+ (PI) (PI))) (* (* 1/192 (* 2 (+ (PI) (PI)))) -2))) (.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 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 #s(approx (* f (+ (* 1/16 (+ (PI) (PI))) (* (* 1/192 (* 2 (+ (PI) (PI)))) -2))) (.f64 (PI.f64) (.f64 f #s(literal 1/12 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)))))))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 4 binary64) (log.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (neg.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (fma.f64 (fma.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (.f64 f f) (.f64 #s(literal 1/4 binary64) (PI.f64)))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #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 (fma.f64 f (.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (.f64 #s(literal 1/96 binary64) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (PI.f64))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f #s(approx (* f (+ (* 1/16 (+ (PI) (PI))) (* (* 1/192 (* 2 (+ (PI) (PI)))) -2))) (.f64 f (.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/12 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (.f64 (fma.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64) (.f64 #s(literal -1/192 binary64) (.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (.f64 (neg.f64 (log.f64 #s(approx (tanh (* 1/4 (* (PI) f))) (.f64 f (fma.f64 f (.f64 f (fma.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64))))))) (/.f64 #s(literal 1 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)))))))) (.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

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

Calls

6 calls:

47.0ms	(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))))))
21.0ms	f
11.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
9.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
9.0ms	(/.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
97.0%	1	`f`
97.0%	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))))))))`
97.0%	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)))))))`
97.0%	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))))))`
97.0%	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)))))`
97.0%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`

Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes23.0ms (0.1%)

Memory

34.2MiB live, 34.2MiB allocated

Counts

13 → 1

Calls

Call 1

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

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:

4.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
4.0ms	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)))))))
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))))))

Results

Accuracy	Segments	Branch
95.6%	1	`f`
95.6%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
95.6%	1	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
95.6%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
95.6%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
95.6%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`

Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes33.0ms (0.2%)

Memory

-35.9MiB live, 12.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

27.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
1.0ms	f
1.0ms	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
1.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
1.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))

Results

Accuracy	Segments	Branch
95.4%	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)))))))`
95.4%	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))))))`
95.4%	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)))))`
95.4%	1	`f`
95.4%	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))))))))`
95.4%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`

Compiler

Compiled 144 to 60 computations (58.3% saved)

simplify6.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	121
1	65	121

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

soundness912.0ms (5.8%)

Memory

-17.0MiB live, 432.1MiB allocated

Rules

13 430×	`lower-fma.f64`
13 430×	`lower-fma.f32`
7 296×	`lower-fma.f64`
7 296×	`lower-fma.f32`
5 964×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	78	442
0	123	349
1	439	331
0	2878	328
0	64	339
0	103	270
1	400	234
0	2802	231
0	406	8006
1	1317	7065
2	5605	6224
0	8630	6065
0	354	6595
1	1129	5851
2	4744	5162
0	9488	5026
0	16	154
0	29	100
1	119	52
2	783	52
0	8561	52
0	190	1850
1	553	1668
2	2121	1484
0	9071	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×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 285 to 133 computations (53.3% saved)

preprocess65.0ms (0.4%)

Memory: 12.2MiB live, 130.2MiB allocated
Compiler: Compiled 204 to 84 computations (58.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze206.0ms (1.3%)

sample6.0s (37.8%)

explain438.0ms (2.8%)

preprocess549.0ms (3.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify262.0ms (1.7%)

localize118.0ms (0.7%)

series103.0ms (0.7%)

simplify211.0ms (1.3%)

rewrite464.0ms (2.9%)

eval486.0ms (3.1%)

prune241.0ms (1.5%)

simplify150.0ms (1%)

localize358.0ms (2.3%)

series231.0ms (1.5%)

simplify235.0ms (1.5%)

rewrite346.0ms (2.2%)

eval330.0ms (2.1%)

prune186.0ms (1.2%)

simplify247.0ms (1.6%)

localize394.0ms (2.5%)

series111.0ms (0.7%)

simplify281.0ms (1.8%)

rewrite172.0ms (1.1%)

eval167.0ms (1.1%)

prune173.0ms (1.1%)

simplify162.0ms (1%)

localize390.0ms (2.5%)

series158.0ms (1%)

simplify529.0ms (3.4%)

rewrite193.0ms (1.2%)

eval270.0ms (1.7%)

prune205.0ms (1.3%)

regimes179.0ms (1.1%)

regimes114.0ms (0.7%)

regimes108.0ms (0.7%)

regimes23.0ms (0.1%)

regimes33.0ms (0.2%)

simplify6.0ms (0%)

soundness912.0ms (5.8%)

preprocess65.0ms (0.4%)

end0.0ms (0%)

Profiling