Metrics for VandenBroeck and Keller, Equation (20)

start0.0ms (0%)

Memory: 0.2MiB live, 0.1MiB allocated

analyze235.0ms (1.4%)

Memory

20.7MiB live, 312.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 39 to 18 computations (53.8% saved)

sample6.9s (40.6%)

Memory

102.3MiB live, 7 159.5MiB allocated

Samples

3.0s	7 609×	1	valid
2.3s	7 097×	1	invalid
220.0ms	172×	2	valid
70.0ms	475×	0	valid
1.0ms	8×	0	invalid
1.0ms	6×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 4.6s

ival-exp: 1.3s (28% of total)

ival-div: 924.0ms (19.9% of total)

adjust: 581.0ms (12.5% of total)

ival-mult: 478.0ms (10.3% of total)

ival-log: 415.0ms (8.9% of total)

ival-neg: 306.0ms (6.6% of total)

ival-pi: 258.0ms (5.6% of total)

ival-add: 185.0ms (4% of total)

ival-sub: 160.0ms (3.4% of total)

exact: 16.0ms (0.3% of total)

ival-true: 12.0ms (0.3% of total)

ival-assert: 7.0ms (0.2% of total)

Bogosity

explain819.0ms (4.8%)

Memory

15.6MiB live, 615.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
245	0	-	1	(0.009629262523203397)	`(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))`
6	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)))))`
3	6	(1216.9621160014817)	0	-	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
0	1	(155.8883824346998)	0	-	`(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))`
0	1	(155.8883824346998)	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	244	1
`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	9	0
`/.f64`	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`	o/o	6	0
↳	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`	overflow	6
↳	`(+.f64 (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	6
↳	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`	overflow	6
↳	`(-.f64 (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	6
`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 -
+	253	0
-	0	3

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	253	0	0
-	0	1	2

Precision?

0.9960629921259843

Recall?

1.0

Freqs

test

number	freq
0	3
1	246
2	6
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

436.0ms	472×	1	valid
11.0ms	12×	2	valid
4.0ms	28×	0	valid

Compiler

Compiled 433 to 52 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 378.0ms

adjust: 172.0ms (45.5% of total)

ival-add: 80.0ms (21.2% of total)

ival-exp: 56.0ms (14.8% of total)

ival-div: 21.0ms (5.6% of total)

ival-log: 15.0ms (4% of total)

ival-mult: 12.0ms (3.2% of total)

ival-neg: 11.0ms (2.9% of total)

ival-pi: 5.0ms (1.3% of total)

ival-sub: 5.0ms (1.3% of total)

ival-true: 1.0ms (0.3% of total)

exact: 1.0ms (0.3% of total)

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

preprocess526.0ms (3.1%)

Memory

-18.7MiB live, 176.6MiB 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 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64))))))))

Compiler

Compiled 37 to 16 computations (56.8% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.9%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))

Status

Accuracy

Program

▶

6.9%

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

Compiler

Compiled 37 to 16 computations (56.8% saved)

simplify260.0ms (1.5%)

Memory

27.3MiB live, 188.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	128	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
cost-diff	320	(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff	384	(/.f64 (PI.f64) #s(literal 4 binary64))
cost-diff	38144	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))

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

localize181.0ms (1.1%)

Memory

-46.3MiB live, 180.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.45703125	(.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	0.5325509177281885	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
accuracy	1.738297756304951	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (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	56.392894895871684	(-.f64 (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

133.0ms	236×	1	valid
6.0ms	6×	2	valid
2.0ms	14×	0	valid

Compiler

Compiled 198 to 18 computations (90.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-exp: 26.0ms (27.4% of total)

ival-log: 26.0ms (27.4% of total)

ival-neg: 14.0ms (14.8% of total)

ival-div: 9.0ms (9.5% of total)

ival-mult: 6.0ms (6.3% of total)

adjust: 5.0ms (5.3% of total)

ival-pi: 2.0ms (2.1% of total)

ival-sub: 2.0ms (2.1% of total)

ival-add: 2.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series118.0ms (0.7%)

Memory

-3.9MiB live, 186.9MiB allocated

Counts

7 → 60

Calls

Call 1

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

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

3 calls:

Time	Variable		Point	Expression
47.0ms	f	@	inf	((/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))
39.0ms	f	@	-inf	((/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))
7.0ms	f	@	0	((/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))

Time

Variable

Point

Expression

47.0ms

inf

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

39.0ms

-inf

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

7.0ms

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

simplify123.0ms (0.7%)

Memory

38.9MiB live, 152.7MiB 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	2128	1484
0	9093	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)
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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 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)))))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f)))))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (/.f64 #s(literal 4 binary64) (PI.f64)))

rewrite185.0ms (1.1%)

Memory

6.9MiB live, 278.9MiB allocated

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

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

Counts

7 → 561

Calls

Call 1

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

Outputs
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eval150.0ms (0.9%)

Memory: -32.6MiB live, 331.6MiB allocated
Compiler: Compiled 32 168 to 3 649 computations (88.7% saved)

prune28.0ms (0.2%)

Memory

14.3MiB live, 91.7MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	769	16	785
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	770	16	786

Accuracy

99.2%

Counts

786 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.0%	(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))))
	98.6%	(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
▶	96.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) (neg.f64 (pow.f64 (.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 2 binary64)))))
▶	98.6%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
	96.1%	(-.f64 (/.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (PI.f64))))
▶	98.6%	(.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))))
	95.7%	(.f64 (neg.f64 (pow.f64 (.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
	96.0%	(neg.f64 (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 4 binary64)) (.f64 (+.f64 (pow.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (+.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (.f64 (cosh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))))) (PI.f64))))
	98.4%	(neg.f64 (/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
	98.4%	(neg.f64 (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
▶	96.2%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (.f64 (sinh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))))
	53.7%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (pow.f64 (.f64 (sinh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)) #s(literal 2 binary64)))))))
	96.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (sinh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
	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 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
▶	94.8%	(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 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
	94.9%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))

Compiler

Compiled 802 to 514 computations (35.9% saved)

simplify108.0ms (0.6%)

Memory

-1.4MiB live, 189.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
cost-diff	0	(.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) (neg.f64 (pow.f64 (.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 2 binary64)))))
cost-diff	21760	(/.f64 (.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) (neg.f64 (pow.f64 (.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 2 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))) (-.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (.f64 (sinh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))))
cost-diff	128	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (.f64 (sinh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 #s(literal 1/4 binary64) (PI.f64))
cost-diff	0	(/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
cost-diff	0	(/.f64 (PI.f64) #s(literal 4 binary64))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
cost-diff	128	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff	0	(PI.f64)
cost-diff	0	(/.f64 #s(literal 4 binary64) (PI.f64))
cost-diff	2304	(.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))))
cost-diff	5824	(pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64))

Rules

4 280×	`lower-/.f32`
4 264×	`lower-/.f64`
3 340×	`lower-*.f32`
3 322×	`lower-*.f64`
2 082×	`lower--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	551
0	81	521
1	168	485
2	452	485
3	1619	485
4	6373	485
0	8119	485

Stop Event

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

Calls

Call 1

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

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

localize351.0ms (2.1%)

Memory

4.2MiB live, 689.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.5169427468281194	(log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
accuracy	0.532577539073768	(pow.f64 (.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 2 binary64))
accuracy	0.8593708716604116	(/.f64 (.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) (neg.f64 (pow.f64 (.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 2 binary64))))
accuracy	0.9687264153926188	(PI.f64)
accuracy	0.4920793483379704	(log.f64 (.f64 (sinh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))
accuracy	0.5037980983379704	(log.f64 (.f64 (cosh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))
accuracy	0.7218977202160777	(-.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (.f64 (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))
accuracy	0.9687264153926188	(PI.f64)
accuracy	0.24609375	(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy	0.32421875	(/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
accuracy	0.5169427468281194	(log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
accuracy	0.9687264153926188	(PI.f64)
accuracy	0.45703125	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
accuracy	0.5325509177281885	(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
accuracy	0.9687264153926188	(PI.f64)
accuracy	1.78862586461638	#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
accuracy	0.24609375	(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy	0.296875	(.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
accuracy	0.5169427468281194	(log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
accuracy	0.9687264153926188	(PI.f64)

Samples

223.0ms	235×	1	valid
60.0ms	4×	5	exit
10.0ms	2×	3	valid
6.0ms	15×	0	valid

Compiler

Compiled 529 to 48 computations (90.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 245.0ms

ival-log: 69.0ms (28.2% of total)

ival-mult: 50.0ms (20.4% of total)

ival-div: 31.0ms (12.7% of total)

ival-exp: 24.0ms (9.8% of total)

adjust: 14.0ms (5.7% of total)

ival-cosh: 10.0ms (4.1% of total)

ival-neg: 8.0ms (3.3% of total)

ival-tanh: 8.0ms (3.3% of total)

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

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

ival-sub: 5.0ms (2% of total)

ival-pow2: 5.0ms (2% of total)

ival-sqrt: 4.0ms (1.6% of total)

ival-pi: 3.0ms (1.2% of total)

exact: 1.0ms (0.4% of total)

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

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

series246.0ms (1.4%)

Memory

22.3MiB live, 328.4MiB allocated

Counts

25 → 228

Calls

Call 1

Inputs
#s(alt (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (patch (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))) (patch (.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 4 binary64) (PI.f64)) (patch (/.f64 #s(literal 4 binary64) (PI.f64)) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))) (patch (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (patch (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) #<representation binary64>) () ())
#s(alt (/.f64 (PI.f64) #s(literal 4 binary64)) (patch (/.f64 (PI.f64) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))) #<representation binary64>) () ())
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Outputs
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#s(alt (* 16 (/ (pow (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) 2) (pow (PI) 2))) (taylor -inf f) (#s(alt (pow.f64 (.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

120.0ms

inf

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

83.0ms

-inf

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

20.0ms

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

simplify176.0ms (1%)

Memory

17.6MiB live, 210.8MiB allocated

Algorithm

1×	egg-herbie

Rules

12 546×	`lower-fma.f64`
12 546×	`lower-fma.f32`
6 404×	`lower-*.f64`
6 404×	`lower-*.f32`
3 360×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	563	10406
1	1943	8697
0	8820	8362

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

rewrite214.0ms (1.3%)

Memory

-37.1MiB live, 249.8MiB allocated

Rules

3 686×	`lower-*.f32`
3 668×	`lower-*.f64`
3 602×	`lower-/.f32`
3 586×	`lower-/.f64`
2 232×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	410
0	81	265
1	319	235
2	2047	235
0	8410	235

Stop Event

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

Counts

25 → 1 591

Calls

Call 1

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

Outputs
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eval565.0ms (3.3%)

Memory: 75.9MiB live, 910.0MiB allocated
Compiler: Compiled 111 613 to 10 654 computations (90.5% saved)

prune93.0ms (0.5%)

Memory

-42.9MiB live, 219.3MiB allocated

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	3 588	15	3 603
Fresh	3	8	11
Picked	4	1	5
Done	0	0	0
Total	3 595	24	3 619

Accuracy

99.9%

Counts

3 619 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.0%	(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))))
	94.8%	(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 2 binary64))) (+.f64 #s(literal 0 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 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))))
	98.6%	(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
	95.0%	(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
	94.2%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) (neg.f64 (pow.f64 (/.f64 (exp.f64 (log.f64 (.f64 #s(literal -4 binary64) (log.f64 (tanh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64)))))))) (PI.f64)) #s(literal 2 binary64)))))
	94.1%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) (neg.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (tanh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64)))))))))))
	96.6%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))))
	10.1%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (-.f64 (log1p.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f)))) (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f))))))
✓	98.6%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
	98.5%	(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))))))
	97.4%	(.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
▶	98.6%	(.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))))
▶	94.8%	(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
	98.4%	(neg.f64 (/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
▶	97.4%	(neg.f64 (/.f64 (exp.f64 (log.f64 (*.f64 #s(literal -4 binary64) (log.f64 (tanh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64)))))))) (PI.f64)))
	94.9%	(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))))
▶	98.4%	(neg.f64 (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
	53.7%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (pow.f64 (.f64 (sinh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)) #s(literal 2 binary64)))))))
	96.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (sinh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
	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 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (PI.f64)) #s(literal 2 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
	94.8%	(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 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64)))))))
	93.6%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
▶	94.6%	(neg.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 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 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
	94.9%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))

Compiler

Compiled 951 to 716 computations (24.7% saved)

simplify99.0ms (0.6%)

Memory

19.4MiB live, 94.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 (*.f64 #s(literal -4 binary64) (log.f64 (tanh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64)))))))
cost-diff	0	(/.f64 (exp.f64 (log.f64 (*.f64 #s(literal -4 binary64) (log.f64 (tanh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64)))))))) (PI.f64))
cost-diff	128	(neg.f64 (/.f64 (exp.f64 (log.f64 (*.f64 #s(literal -4 binary64) (log.f64 (tanh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64)))))))) (PI.f64)))
cost-diff	12800	(exp.f64 (log.f64 (*.f64 #s(literal -4 binary64) (log.f64 (tanh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))))))
cost-diff	0	(neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))
cost-diff	0	(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64)))
cost-diff	128	(neg.f64 (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
cost-diff	2112	(.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
cost-diff	0	(/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))
cost-diff	0	(.f64 (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 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 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
cost-diff	128	(neg.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 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 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
cost-diff	2304	(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))
cost-diff	0	(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
cost-diff	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 (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
cost-diff	0	(PI.f64)
cost-diff	0	(sqrt.f64 (PI.f64))
cost-diff	0	(/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))
cost-diff	2304	(.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))))

Rules

3 296×	`lower-fma.f64`
3 296×	`lower-fma.f32`
3 226×	`lower-*.f32`
3 208×	`lower-*.f64`
1 298×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	542
0	75	533
1	181	511
2	473	509
3	1028	485
4	2301	485
5	4260	485
6	6239	485
0	8241	485

Stop Event

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

Calls

Call 1

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

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

localize317.0ms (1.9%)

Memory

21.3MiB live, 294.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.5169427468281194	(log.f64 (tanh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64)))))
accuracy	0.5311307524303686	(log.f64 (*.f64 #s(literal -4 binary64) (log.f64 (tanh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64)))))))
accuracy	0.9687264153926188	(PI.f64)
accuracy	1.1260532536794035	(exp.f64 (log.f64 (*.f64 #s(literal -4 binary64) (log.f64 (tanh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))))))
accuracy	0.34375	(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64)))
accuracy	0.5169427468281194	(log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
accuracy	0.9687264153926188	(PI.f64)
accuracy	0.984375	(sqrt.f64 (PI.f64))
accuracy	0.9687264153926188	(PI.f64)
accuracy	0.984375	(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))
accuracy	0.984375	(sqrt.f64 (PI.f64))
accuracy	1.78862586461638	#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
accuracy	0.45703125	(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
accuracy	0.5325509177281885	(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
accuracy	0.9687264153926188	(PI.f64)
accuracy	1.78862586461638	#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
accuracy	0.39453125	(/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64)))
accuracy	0.5169427468281194	(log.f64 (tanh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64)))))
accuracy	0.9687264153926188	(PI.f64)
accuracy	0.984375	(sqrt.f64 (PI.f64))

Samples

211.0ms	235×	1	valid
50.0ms	4×	4	exit
7.0ms	2×	2	valid
5.0ms	15×	0	valid

Compiler

Compiled 502 to 45 computations (91% saved)

Precisions

Click to see histograms. Total time spent on operations: 233.0ms

ival-log: 67.0ms (28.7% of total)

ival-div: 47.0ms (20.1% of total)

ival-mult: 37.0ms (15.8% of total)

ival-exp: 31.0ms (13.3% of total)

adjust: 19.0ms (8.1% of total)

ival-neg: 10.0ms (4.3% of total)

ival-tanh: 10.0ms (4.3% of total)

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

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

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

ival-add: 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)

series278.0ms (1.6%)

Memory

-7.1MiB live, 146.1MiB allocated

Counts

22 → 204

Calls

Call 1

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

Outputs
#s(alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (taylor 0 f) (#s(alt (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))) (patch (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2)))) (taylor 0 f) (#s(alt (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))) (patch (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))) #<representation binary64>) () ())) ())
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Calls

3 calls:

Time

Variable

Point

Expression

130.0ms

inf

((* (/ 2 (sqrt (PI))) (* (log (tanh (/ f (/ 4 (PI))))) (/ 2 (sqrt (PI))))) (/ 2 (sqrt (PI))) (sqrt (PI)) (PI) (* (/ -4 (PI)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ -4 (PI)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (* (/ 2 (sqrt (PI))) (/ 2 (sqrt (PI)))) (neg (* (* (/ 2 (sqrt (PI))) (/ 2 (sqrt (PI)))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (* (/ 2 (sqrt (PI))) (/ 2 (sqrt (PI)))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (* (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (/ 4 (sqrt (PI)))) (neg (* (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (/ 4 (sqrt (PI))))) (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (neg (log (tanh (* f (* 1/4 (PI)))))) (exp (log (* -4 (log (tanh (/ f (/ 4 (PI)))))))) (neg (/ (exp (log (* -4 (log (tanh (/ f (/ 4 (PI)))))))) (PI))) (/ (exp (log (* -4 (log (tanh (/ f (/ 4 (PI)))))))) (PI)) (log (* -4 (log (tanh (/ f (/ 4 (PI))))))) (log (tanh (/ f (/ 4 (PI))))) (/ f (/ 4 (PI))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (log (tanh (* f (* 1/4 (PI))))))

95.0ms

-inf

((* (/ 2 (sqrt (PI))) (* (log (tanh (/ f (/ 4 (PI))))) (/ 2 (sqrt (PI))))) (/ 2 (sqrt (PI))) (sqrt (PI)) (PI) (* (/ -4 (PI)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ -4 (PI)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (* (/ 2 (sqrt (PI))) (/ 2 (sqrt (PI)))) (neg (* (* (/ 2 (sqrt (PI))) (/ 2 (sqrt (PI)))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (* (/ 2 (sqrt (PI))) (/ 2 (sqrt (PI)))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (* (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (/ 4 (sqrt (PI)))) (neg (* (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (/ 4 (sqrt (PI))))) (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (neg (log (tanh (* f (* 1/4 (PI)))))) (exp (log (* -4 (log (tanh (/ f (/ 4 (PI)))))))) (neg (/ (exp (log (* -4 (log (tanh (/ f (/ 4 (PI)))))))) (PI))) (/ (exp (log (* -4 (log (tanh (/ f (/ 4 (PI)))))))) (PI)) (log (* -4 (log (tanh (/ f (/ 4 (PI))))))) (log (tanh (/ f (/ 4 (PI))))) (/ f (/ 4 (PI))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (log (tanh (* f (* 1/4 (PI))))))

8.0ms

((* (/ 2 (sqrt (PI))) (* (log (tanh (/ f (/ 4 (PI))))) (/ 2 (sqrt (PI))))) (/ 2 (sqrt (PI))) (sqrt (PI)) (PI) (* (/ -4 (PI)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ -4 (PI)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (* (/ 2 (sqrt (PI))) (/ 2 (sqrt (PI)))) (neg (* (* (/ 2 (sqrt (PI))) (/ 2 (sqrt (PI)))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (* (/ 2 (sqrt (PI))) (/ 2 (sqrt (PI)))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (* (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (/ 4 (sqrt (PI)))) (neg (* (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (/ 4 (sqrt (PI))))) (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (neg (log (tanh (* f (* 1/4 (PI)))))) (exp (log (* -4 (log (tanh (/ f (/ 4 (PI)))))))) (neg (/ (exp (log (* -4 (log (tanh (/ f (/ 4 (PI)))))))) (PI))) (/ (exp (log (* -4 (log (tanh (/ f (/ 4 (PI)))))))) (PI)) (log (* -4 (log (tanh (/ f (/ 4 (PI))))))) (log (tanh (/ f (/ 4 (PI))))) (/ f (/ 4 (PI))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (log (tanh (* f (* 1/4 (PI))))))

simplify206.0ms (1.2%)

Memory

-10.3MiB live, 106.3MiB allocated

Algorithm

1×	egg-herbie

Rules

4 840×	`lower-fma.f64`
4 840×	`lower-fma.f32`
4 218×	`lower-*.f64`
4 218×	`lower-*.f32`
1 606×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	418	8365
1	1390	7253
2	6157	6322
0	8902	6123

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

rewrite546.0ms (3.2%)

Memory

-56.7MiB live, 254.4MiB allocated

Rules

4 988×	`lower-/.f32`
4 972×	`lower-/.f64`
3 762×	`lower-*.f32`
3 744×	`lower-*.f64`
3 470×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	359
0	75	231
1	294	211
2	1698	211
0	8550	211

Stop Event

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

Counts

22 → 1 397

Calls

Call 1

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

Outputs
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eval640.0ms (3.8%)

Memory: 12.6MiB live, 570.0MiB allocated
Compiler: Compiled 54 696 to 6 224 computations (88.6% saved)

prune200.0ms (1.2%)

Memory

-30.6MiB live, 173.0MiB allocated

Pruning

28 alts after pruning (26 fresh and 2 done)

	Pruned	Kept	Total
New	2 489	17	2 506
Fresh	9	9	18
Picked	4	1	5
Done	0	1	1
Total	2 502	28	2 530

Accuracy

99.9%

Counts

2 530 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.0%	(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))))
▶	94.1%	(/.f64 (/.f64 (.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
	94.8%	(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 2 binary64))) (+.f64 #s(literal 0 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 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))))
	94.8%	(/.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))) (sqrt.f64 (PI.f64)))
	95.0%	(/.f64 (.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64)) (PI.f64))
▶	98.6%	(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
	94.2%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) (neg.f64 (pow.f64 (/.f64 (exp.f64 (log.f64 (.f64 #s(literal -4 binary64) (log.f64 (tanh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64)))))))) (PI.f64)) #s(literal 2 binary64)))))
	94.1%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) (neg.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (tanh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64)))))))))))
	96.6%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))))
	10.1%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (-.f64 (log1p.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f)))) (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f))))))
✓	98.6%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
	94.9%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
	97.4%	(.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
	95.0%	(.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))))
▶	98.6%	(.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (.f64 (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))))
	93.6%	(.f64 (/.f64 #s(literal -4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
	94.8%	(.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (sqrt.f64 (PI.f64))))
	95.5%	(.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 (.f64 (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64) (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) f))))
	94.8%	(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f))))
▶	94.8%	(.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 2 binary64) (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))))))
	98.2%	(.f64 (neg.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64)))))) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))))
	10.1%	(neg.f64 (/.f64 (exp.f64 (log.f64 (*.f64 #s(literal -4 binary64) (-.f64 (log1p.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f)))) (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f))))))) (PI.f64)))
	97.4%	(neg.f64 (/.f64 (exp.f64 (log.f64 (.f64 #s(literal -4 binary64) (log.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))))) (PI.f64)))
✓	98.4%	(neg.f64 (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
	53.7%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (pow.f64 (.f64 (sinh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)) #s(literal 2 binary64)))))))
	95.2%	(neg.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64) (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) f)))))
	94.6%	(neg.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 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 (.f64 (PI.f64) f) #s(literal 1/2 binary64)))))))
▶	97.3%	(neg.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (*.f64 #s(literal -4 binary64) (log.f64 (tanh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))))))))

Compiler

Compiled 1 124 to 826 computations (26.5% saved)

simplify170.0ms (1%)

Memory

8.6MiB live, 197.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	128	(+.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (*.f64 #s(literal -4 binary64) (log.f64 (tanh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))))))
cost-diff	128	(neg.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (*.f64 #s(literal -4 binary64) (log.f64 (tanh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))))))))
cost-diff	768	(/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64)))
cost-diff	18688	(exp.f64 (+.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (*.f64 #s(literal -4 binary64) (log.f64 (tanh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64)))))))))
cost-diff	0	(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
cost-diff	0	(tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))
cost-diff	0	(log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
cost-diff	0	(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
cost-diff	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 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64))
cost-diff	0	(/.f64 (.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64)))
cost-diff	384	(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
cost-diff	1984	(/.f64 (/.f64 (.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
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 (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))))))
cost-diff	320	(/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64)))
cost-diff	0	(PI.f64)
cost-diff	0	(sqrt.f64 (PI.f64))
cost-diff	0	(/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))
cost-diff	2304	(.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (.f64 (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))))

Rules

6 908×	`lower-fma.f64`
6 908×	`lower-fma.f32`
3 692×	`lower-*.f32`
3 670×	`lower-*.f64`
2 454×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	53	537
0	89	548
1	207	514
2	441	493
3	843	493
4	1843	493
5	3855	493
6	7186	493
0	8240	493

Stop Event

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

Calls

Call 1

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

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

localize369.0ms (2.2%)

Memory

-4.0MiB live, 481.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.5169427468281194	(log.f64 (tanh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64)))))
accuracy	0.5311307524303686	(log.f64 (*.f64 #s(literal -4 binary64) (log.f64 (tanh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64)))))))
accuracy	0.9687264153926188	(PI.f64)
accuracy	1.0863464484092769	(exp.f64 (+.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (*.f64 #s(literal -4 binary64) (log.f64 (tanh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64)))))))))
accuracy	0.24609375	(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy	0.375	(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy	0.5169427468281194	(log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
accuracy	0.9687264153926188	(PI.f64)
accuracy	0.5325509177281885	(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
accuracy	0.9687264153926188	(PI.f64)
accuracy	0.984375	(sqrt.f64 (PI.f64))
accuracy	1.78862586461638	#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
accuracy	0.45703125	(.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 2 binary64) (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))))))
accuracy	0.5325509177281885	(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 (.f64 (PI.f64) f) #s(literal 1/2 binary64)))))
accuracy	0.9687264153926188	(PI.f64)
accuracy	1.78862586461638	#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 (.f64 (PI.f64) f) #s(literal 1/2 binary64))))
accuracy	0.296875	(.f64 (log.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))
accuracy	0.5169427468281194	(log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))
accuracy	0.9687264153926188	(PI.f64)
accuracy	0.984375	(sqrt.f64 (PI.f64))

Samples

268.0ms	233×	1	valid
16.0ms	4×	3	exit
7.0ms	2×	2	valid
7.0ms	17×	0	valid

Compiler

Compiled 485 to 51 computations (89.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 257.0ms

ival-exp: 84.0ms (32.7% of total)

ival-log: 52.0ms (20.2% of total)

ival-div: 40.0ms (15.6% of total)

ival-mult: 39.0ms (15.2% of total)

adjust: 12.0ms (4.7% of total)

ival-tanh: 10.0ms (3.9% of total)

ival-neg: 6.0ms (2.3% of total)

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

ival-sqrt: 4.0ms (1.6% of total)

ival-pi: 3.0ms (1.2% of total)

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

exact: 1.0ms (0.4% of total)

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

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

series136.0ms (0.8%)

Memory

34.0MiB live, 184.7MiB allocated

Counts

27 → 276

Calls

Call 1

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

Outputs
#s(alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (taylor 0 f) (#s(alt (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (.f64 (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))) (patch (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (.f64 (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))) #<representation binary64>) () ())) ())
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#s(alt (log (* -4 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))) (taylor -inf f) (#s(alt (log.f64 (.f64 #s(literal -4 binary64) (log.f64 (tanh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))))) (patch (log.f64 (.f64 #s(literal -4 binary64) (log.f64 (tanh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))))) #<representation binary64>) () ())) ())
#s(alt (log (* -4 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))) (taylor -inf f) (#s(alt (log.f64 (.f64 #s(literal -4 binary64) (log.f64 (tanh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))))) (patch (log.f64 (.f64 #s(literal -4 binary64) (log.f64 (tanh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))))) #<representation binary64>) () ())) ())
#s(alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (taylor -inf f) (#s(alt (log.f64 (tanh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))) (patch (log.f64 (tanh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))) #<representation binary64>) () ())) ())
#s(alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (taylor -inf f) (#s(alt (log.f64 (tanh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))) (patch (log.f64 (tanh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))) #<representation binary64>) () ())) ())
#s(alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (taylor -inf f) (#s(alt (log.f64 (tanh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))) (patch (log.f64 (tanh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))) #<representation binary64>) () ())) ())
#s(alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (taylor -inf f) (#s(alt (log.f64 (tanh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))) (patch (log.f64 (tanh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

71.0ms

inf

((* (/ 2 (sqrt (PI))) (* (log (tanh (* (* f (PI)) 1/4))) (/ 2 (sqrt (PI))))) (/ 2 (sqrt (PI))) (sqrt (PI)) (PI) (/ 2 (* (* (PI) f) 1/2)) (* (/ -4 (PI)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ -4 (PI)) (/ (/ (* (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) -4) (sqrt (PI))) (sqrt (PI))) (/ (/ 4 (PI)) f) (/ (* (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) -4) (sqrt (PI))) (* (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) -4) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* f (* 1/4 (PI))) (exp (+ (neg (log (PI))) (log (* -4 (log (tanh (/ f (/ 4 (PI))))))))) (/ f (/ 4 (PI))) (neg (exp (+ (neg (log (PI))) (log (* -4 (log (tanh (/ f (/ 4 (PI)))))))))) (+ (neg (log (PI))) (log (* -4 (log (tanh (/ f (/ 4 (PI)))))))) (log (tanh (* (* f (PI)) 1/4))) (* (log (tanh (* (* f (PI)) 1/4))) (/ 2 (sqrt (PI)))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (log (* -4 (log (tanh (/ f (/ 4 (PI))))))) (log (tanh (/ f (/ 4 (PI))))))

33.0ms

-inf

((* (/ 2 (sqrt (PI))) (* (log (tanh (* (* f (PI)) 1/4))) (/ 2 (sqrt (PI))))) (/ 2 (sqrt (PI))) (sqrt (PI)) (PI) (/ 2 (* (* (PI) f) 1/2)) (* (/ -4 (PI)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ -4 (PI)) (/ (/ (* (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) -4) (sqrt (PI))) (sqrt (PI))) (/ (/ 4 (PI)) f) (/ (* (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) -4) (sqrt (PI))) (* (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) -4) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* f (* 1/4 (PI))) (exp (+ (neg (log (PI))) (log (* -4 (log (tanh (/ f (/ 4 (PI))))))))) (/ f (/ 4 (PI))) (neg (exp (+ (neg (log (PI))) (log (* -4 (log (tanh (/ f (/ 4 (PI)))))))))) (+ (neg (log (PI))) (log (* -4 (log (tanh (/ f (/ 4 (PI)))))))) (log (tanh (* (* f (PI)) 1/4))) (* (log (tanh (* (* f (PI)) 1/4))) (/ 2 (sqrt (PI)))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (log (* -4 (log (tanh (/ f (/ 4 (PI))))))) (log (tanh (/ f (/ 4 (PI))))))

12.0ms

((* (/ 2 (sqrt (PI))) (* (log (tanh (* (* f (PI)) 1/4))) (/ 2 (sqrt (PI))))) (/ 2 (sqrt (PI))) (sqrt (PI)) (PI) (/ 2 (* (* (PI) f) 1/2)) (* (/ -4 (PI)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ -4 (PI)) (/ (/ (* (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) -4) (sqrt (PI))) (sqrt (PI))) (/ (/ 4 (PI)) f) (/ (* (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) -4) (sqrt (PI))) (* (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) -4) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* f (* 1/4 (PI))) (exp (+ (neg (log (PI))) (log (* -4 (log (tanh (/ f (/ 4 (PI))))))))) (/ f (/ 4 (PI))) (neg (exp (+ (neg (log (PI))) (log (* -4 (log (tanh (/ f (/ 4 (PI)))))))))) (+ (neg (log (PI))) (log (* -4 (log (tanh (/ f (/ 4 (PI)))))))) (log (tanh (* (* f (PI)) 1/4))) (* (log (tanh (* (* f (PI)) 1/4))) (/ 2 (sqrt (PI)))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (log (* -4 (log (tanh (/ f (/ 4 (PI))))))) (log (tanh (/ f (/ 4 (PI))))))

simplify281.0ms (1.7%)

Memory

-20.9MiB live, 333.2MiB allocated

Algorithm

1×	egg-herbie

Rules

13 708×	`lower-fma.f64`
13 708×	`lower-fma.f32`
6 906×	`lower-*.f64`
6 906×	`lower-*.f32`
2 368×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	443	11631
1	1514	9657
2	7062	9657
0	8460	9308

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

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

rewrite204.0ms (1.2%)

Memory

-9.0MiB live, 400.4MiB allocated

Rules

4 712×	`lower-/.f32`
4 694×	`lower-/.f64`
4 528×	`lower-*.f32`
4 506×	`lower-*.f64`
3 928×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	53	465
0	89	301
1	335	276
2	1677	271
0	8472	271

Stop Event

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

Counts

27 → 1 139

Calls

Call 1

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

Outputs
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eval576.0ms (3.4%)

Memory: 28.2MiB live, 697.8MiB allocated
Compiler: Compiled 45 983 to 6 181 computations (86.6% saved)

prune70.0ms (0.4%)

Memory

10.5MiB live, 211.7MiB allocated

Pruning

31 alts after pruning (28 fresh and 3 done)

	Pruned	Kept	Total
New	1 957	16	1 973
Fresh	9	12	21
Picked	3	2	5
Done	1	1	2
Total	1 970	31	2 001

Accuracy

100.0%

Counts

2 001 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.0%	(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))))))
	94.9%	(/.f64 (/.f64 (.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal -4 binary64)) (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (sqrt.f64 (PI.f64)))
	94.1%	(/.f64 (/.f64 (.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64)))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
	94.1%	(/.f64 (/.f64 (.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
	10.1%	(/.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (.f64 f (PI.f64))))) (log1p.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (.f64 f (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
	94.8%	(/.f64 (.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (sqrt.f64 (PI.f64)))
	96.2%	(/.f64 (neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 f (PI.f64))) #s(literal 1 binary64)) (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 f (PI.f64))))))) (.f64 #s(literal 1/4 binary64) (PI.f64)))
	96.2%	(/.f64 (log.f64 (/.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 f (PI.f64)))) (+.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 f (PI.f64))) #s(literal 1 binary64)))) (.f64 #s(literal 1/4 binary64) (PI.f64)))
✓	98.6%	(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
	95.0%	(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
	10.1%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (-.f64 (log1p.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f)))) (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f))))))
✓	98.6%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
	94.9%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
	10.1%	(-.f64 (/.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (.f64 f (PI.f64))))) (.f64 #s(literal 1/4 binary64) (PI.f64))) (/.f64 (log1p.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (.f64 f (PI.f64)))) (.f64 #s(literal 1/4 binary64) (PI.f64))))
	97.4%	(.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))) (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
	98.4%	(.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
	94.8%	(.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
	95.0%	(.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))))
✓	98.6%	(.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (.f64 (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))))
	93.6%	(.f64 (/.f64 #s(literal -4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))))))
	95.5%	(.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 (.f64 (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64) (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) f))))
	94.8%	(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f))))
	94.8%	(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64)))))
	94.8%	(.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 f (PI.f64))))))
	98.2%	(.f64 (neg.f64 (log.f64 (tanh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64)))))) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))))
	10.1%	(neg.f64 (/.f64 (exp.f64 (log.f64 (*.f64 #s(literal -4 binary64) (-.f64 (log1p.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f)))) (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f))))))) (PI.f64)))
	97.4%	(neg.f64 (/.f64 (exp.f64 (log.f64 (.f64 #s(literal -4 binary64) (log.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))))) (PI.f64)))
	95.2%	(neg.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64) (.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) f)))))
	94.6%	(neg.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 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 (.f64 (PI.f64) f) #s(literal 1/2 binary64)))))))
	97.3%	(neg.f64 (exp.f64 (-.f64 (log.f64 (.f64 (log.f64 (tanh.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal -4 binary64))) (log.f64 (PI.f64)))))
	10.1%	(neg.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 (.f64 #s(literal -4 binary64) (-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (.f64 f (PI.f64))))) (log1p.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 f (PI.f64))))))))))

Compiler

Compiled 1 881 to 745 computations (60.4% saved)

regimes144.0ms (0.8%)

Memory

-8.8MiB live, 186.3MiB allocated

Counts

65 → 1

Calls

Call 1

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

Outputs
(.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (.f64 (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))))

Calls

6 calls:

37.0ms	(/.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)))))
35.0ms	(.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)))))))
21.0ms	f
18.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
16.0ms	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))

Results

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

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes77.0ms (0.4%)

Memory

11.6MiB live, 124.9MiB allocated

Counts

35 → 1

Calls

Call 1

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

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

Calls

6 calls:

30.0ms	(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))))))))
12.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
9.0ms	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))))))
8.0ms	(.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
98.6%	1	`f`
98.6%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
98.6%	1	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
98.6%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
98.6%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
98.6%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes86.0ms (0.5%)

Memory

-20.2MiB live, 75.3MiB allocated

Counts

28 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

33.0ms	(/.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)))))
23.0ms	(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))))))))
8.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
8.0ms	f
6.0ms	(.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
95.5%	1	`f`
95.5%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
95.5%	1	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
95.5%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
95.5%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
95.5%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes47.0ms (0.3%)

Memory

-13.5MiB live, 104.0MiB allocated

Counts

25 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

11.0ms	f
8.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
7.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
7.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
6.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))

Results

Accuracy	Segments	Branch
95.0%	1	`f`
95.0%	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))))))))`
95.0%	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)))))))`
95.0%	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))))))`
95.0%	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)))))`
95.0%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes41.0ms (0.2%)

Memory

27.0MiB live, 101.5MiB allocated

Accuracy

Total -0.9b remaining (-28%)

Threshold costs -0.9b (-28%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

6 calls:

8.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
7.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
7.0ms	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
6.0ms	f
6.0ms	(/.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
95.0%	1	`f`
95.0%	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))))))))`
95.0%	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)))))))`
95.0%	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))))))`
95.0%	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)))))`
95.0%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`

Compiler

Compiled 138 to 60 computations (56.5% saved)

simplify28.0ms (0.2%)

Memory

-8.1MiB live, 73.5MiB allocated

Algorithm

1×	egg-herbie

Rules

46×	`-commutative-binary64-.f64`
14×	`neg-sub0-binary64--.f64-neg.f64`
14×	`neg-mul-1-binary64-*.f64-neg.f64`
12×	`+-commutative-binary64-+.f64`
12×	`sub-neg-binary64-neg.f64-+.f64--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	152
1	82	152
2	94	152
3	110	152
4	119	152
5	125	152
6	127	152

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.2s (6.8%)

Memory

8.4MiB live, 838.1MiB allocated

Rules

13 708×	`lower-fma.f64`
13 708×	`lower-fma.f32`
7 296×	`lower-fma.f64`
7 296×	`lower-fma.f32`
6 906×	`lower-*.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	443	11631
1	1514	9657
2	7062	9657
0	8460	9308
0	418	8365
1	1390	7253
2	6157	6322
0	8902	6123
0	49	410
0	81	265
1	319	235
2	2047	235
0	8410	235
0	16	154
0	29	100
1	119	52
2	783	52
0	8561	52
0	190	1850
1	553	1668
2	2128	1484
0	9093	1459
0	45	359
0	75	231
1	294	211
2	1698	211
0	8550	211

Stop Event

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

Compiler

Compiled 363 to 198 computations (45.5% saved)

preprocess65.0ms (0.4%)

Memory: -2.4MiB live, 126.5MiB allocated
Compiler: Compiled 250 to 128 computations (48.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze235.0ms (1.4%)

sample6.9s (40.6%)

explain819.0ms (4.8%)

preprocess526.0ms (3.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify260.0ms (1.5%)

localize181.0ms (1.1%)

series118.0ms (0.7%)

simplify123.0ms (0.7%)

rewrite185.0ms (1.1%)

eval150.0ms (0.9%)

prune28.0ms (0.2%)

simplify108.0ms (0.6%)

localize351.0ms (2.1%)

series246.0ms (1.4%)

simplify176.0ms (1%)

rewrite214.0ms (1.3%)

eval565.0ms (3.3%)

prune93.0ms (0.5%)

simplify99.0ms (0.6%)

localize317.0ms (1.9%)

series278.0ms (1.6%)

simplify206.0ms (1.2%)

rewrite546.0ms (3.2%)

eval640.0ms (3.8%)

prune200.0ms (1.2%)

simplify170.0ms (1%)

localize369.0ms (2.2%)

series136.0ms (0.8%)

simplify281.0ms (1.7%)

rewrite204.0ms (1.2%)

eval576.0ms (3.4%)

prune70.0ms (0.4%)

regimes144.0ms (0.8%)

regimes77.0ms (0.4%)

regimes86.0ms (0.5%)

regimes47.0ms (0.3%)

regimes41.0ms (0.2%)

simplify28.0ms (0.2%)

soundness1.2s (6.8%)

preprocess65.0ms (0.4%)

end0.0ms (0%)

Profiling