Metrics for VandenBroeck and Keller, Equation (20)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze237.0ms (1.6%)

Memory

-6.3MiB live, 265.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 39 to 18 computations (53.8% saved)

sample6.0s (41.2%)

Memory

127.5MiB live, 6 097.2MiB allocated

Samples

2.5s	7 553×	1	valid
2.3s	7 218×	1	invalid
160.0ms	166×	2	valid
60.0ms	537×	0	valid
1.0ms	12×	0	invalid
1.0ms	8×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 4.4s

ival-exp: 1.4s (31.2% of total)

ival-div: 703.0ms (15.8% of total)

ival-mult: 485.0ms (10.9% of total)

adjust: 410.0ms (9.2% of total)

ival-pi: 402.0ms (9% of total)

ival-neg: 350.0ms (7.9% of total)

ival-log: 342.0ms (7.7% of total)

ival-add: 190.0ms (4.3% of total)

ival-sub: 147.0ms (3.3% of total)

exact: 16.0ms (0.4% of total)

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

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

Bogosity

explain498.0ms (3.4%)

Memory

28.6MiB live, 467.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
250	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))))`
4	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)))))`
0	0	-	-	`(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))`
0	0	-	-	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`
0	4	(12502290.79240532)	-	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (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	-	-	`#s(literal 1 binary64)`
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	-	-	`(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))`
0	0	-	-	`#s(literal 4 binary64)`
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	-	-	`(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	-	-	`f`
0	0	-	-	`(/.f64 (PI.f64) #s(literal 4 binary64))`
0	0	-	-	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
0	0	-	-	`(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`
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	250	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	4	0
↳	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`	overflow	4
↳	`(+.f64 (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	4
↳	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`	overflow	4
↳	`(-.f64 (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	4
`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	4	0

Confusion

	Predicted +	Predicted -
+	254	0
-	0	2

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	254	0	0
-	0	0	2

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	2
1	250
2	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

271.0ms	476×	1	valid
7.0ms	8×	2	valid
3.0ms	28×	0	valid

Compiler

Compiled 433 to 52 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 218.0ms

adjust: 86.0ms (39.5% of total)

ival-mult: 39.0ms (17.9% of total)

ival-exp: 33.0ms (15.1% of total)

ival-div: 18.0ms (8.3% of total)

ival-log: 13.0ms (6% of total)

ival-pi: 10.0ms (4.6% of total)

ival-neg: 8.0ms (3.7% of total)

ival-sub: 5.0ms (2.3% of total)

ival-add: 5.0ms (2.3% of total)

exact: 1.0ms (0.5% of total)

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

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

preprocess517.0ms (3.6%)

Memory

-9.8MiB live, 180.3MiB 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

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.6%	(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

▶

6.6%

(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)

simplify228.0ms (1.6%)

Memory

7.5MiB live, 95.4MiB 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))))

localize116.0ms (0.8%)

Memory

9.9MiB live, 84.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.25	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
accuracy	0.4381637695368841	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
accuracy	1.2366710139717427	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (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	57.65478307500568	(-.f64 (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

66.0ms	238×	1	valid
34.0ms	4×	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: 86.0ms

ival-log: 36.0ms (41.8% of total)

ival-exp: 16.0ms (18.6% of total)

ival-div: 9.0ms (10.5% of total)

ival-neg: 6.0ms (7% of total)

ival-mult: 6.0ms (7% of total)

adjust: 5.0ms (5.8% of total)

ival-pi: 2.0ms (2.3% of total)

ival-sub: 2.0ms (2.3% of total)

ival-add: 2.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

series174.0ms (1.2%)

Memory

-2.6MiB live, 85.5MiB 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 (.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>) () ())
#s(alt (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) (patch (.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>) () ())) ())
#s(alt (* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))))) (* -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>) () ())) ())
#s(alt (* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (* 1/122880 (pow (PI) 5)) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI)))) (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
129.0ms	f	@	inf	((/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (* (/ (PI) 4) f))
35.0ms	f	@	-inf	((/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (* (/ (PI) 4) f))
6.0ms	f	@	0	((/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (* (/ (PI) 4) f))

Time

Variable

Point

Expression

129.0ms

inf

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

35.0ms

-inf

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

6.0ms

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

simplify227.0ms (1.6%)

Memory

5.8MiB live, 153.6MiB allocated

Algorithm

1×	egg-herbie

Rules

18 550×	`lower-fma.f64`
18 550×	`lower-fma.f32`
3 724×	`lower-*.f64`
3 724×	`lower-*.f32`
2 180×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	171	1490
1	484	1364
2	1754	1236
3	7067	1196
0	9194	1178

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI)))))
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(- (* -2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(- (* f (- (* -2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(- (* f (- (* f (- (* -2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(* f (- (* 1/4 (PI)) (* -1/4 (PI))))
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (* 1/122880 (pow (PI) 5)) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (+ (* 1/122880 (pow (PI) 5)) (* (pow f 2) (- (* 1/82575360 (pow (PI) 7)) (* -1/82575360 (pow (PI) 7))))) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(+ (* 2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))))
(+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))) (* f (+ (* 2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))))))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))

Outputs
(/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI)))))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(- (* -2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
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(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/4 binary64)) f) (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal -1/4 binary64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/4 binary64)) f) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) 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 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/4 binary64)) f) (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal -1/4 binary64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/4 binary64)) f) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) 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 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/4 binary64)) f) (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal -1/4 binary64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/4 binary64)) f) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) 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 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/4 binary64)) f) (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal -1/4 binary64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/4 binary64)) f) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/4 binary64)) f) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) f)))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/4 binary64)) f) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) f)))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/4 binary64)) f) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) f)))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/4 binary64)) f) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) f)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/4 binary64)) f) (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal -1/4 binary64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/4 binary64)) f) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) 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 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/4 binary64)) f) (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal -1/4 binary64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/4 binary64)) f) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) 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 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/4 binary64)) f) (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal -1/4 binary64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/4 binary64)) f) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) 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 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/4 binary64)) f) (pow.f64 (exp.f64 (PI.f64)) (.f64 #s(literal -1/4 binary64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/4 binary64)) f) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) f))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64))
(* 1/4 (* f (PI)))
(.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64))
(* 1/4 (* f (PI)))
(.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64))
(* 1/4 (* f (PI)))
(.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64))

rewrite243.0ms (1.7%)

Memory

-6.4MiB live, 150.1MiB 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	129
0	29	87
1	119	49
2	783	49
0	8561	49

Stop Event

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

Counts

7 → 556

Calls

Call 1

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

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

eval387.0ms (2.7%)

Memory: -12.2MiB live, 387.7MiB allocated
Compiler: Compiled 39 736 to 4 678 computations (88.2% saved)

prune51.0ms (0.3%)

Memory

11.7MiB live, 93.0MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	961	11	972
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	962	11	973

Accuracy

100.0%

Counts

973 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.6%	(/.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 3 binary64))) (+.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 0 binary64)))
▶	99.5%	(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
	97.5%	(/.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)))))
	99.3%	(/.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)))))))
	97.7%	(-.f64 (/.f64 (log.f64 (.f64 (cosh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 (.f64 (sinh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (PI.f64))))
▶	99.4%	(.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)))))))
	99.2%	(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))))
▶	99.2%	(neg.f64 (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
	97.3%	(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 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
▶	96.9%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
▶	97.0%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))

Compiler

Compiled 428 to 306 computations (28.5% saved)

simplify104.0ms (0.7%)

Memory

18.3MiB live, 132.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(PI.f64)
cost-diff	0	(/.f64 #s(literal 4 binary64) (PI.f64))
cost-diff	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))
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	(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
cost-diff	0	(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
cost-diff	0	(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
cost-diff	0	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
cost-diff	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	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	0	(*.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)))

Rules

3 148×	`lower-fma.f64`
3 148×	`lower-fma.f32`
2 698×	`lower-*.f32`
2 684×	`lower-*.f64`
1 332×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	443
0	76	433
1	164	407
2	403	406
3	957	402
4	2096	402
5	4676	402
6	6714	402
0	8087	402

Stop Event

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

Calls

Call 1

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

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

localize410.0ms (2.8%)

Memory

-35.7MiB live, 608.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))
accuracy	0.21484375	(.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	0.25	(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy	0.26171875	(.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)))))))
accuracy	0.25	(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy	0.26171875	(.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))))
accuracy	0.3203125	(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64)))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	0.21875	(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
accuracy	0.4498825195368841	(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
accuracy	1.5232815942961022	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
accuracy	2.0	(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
accuracy	0.00390625	(log.f64 #s(approx (/ (+ (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	0.4140625	(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
accuracy	0.4381637695368841	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
accuracy	1.5022530652402917	#s(approx (/ (+ (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	0.00390625	(log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
accuracy	0.0234375	(tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))
accuracy	0.25	(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy	0.328125	(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))

Samples

356.0ms	236×	1	valid
8.0ms	4×	2	valid
5.0ms	16×	0	valid

Compiler

Compiled 409 to 42 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 302.0ms

ival-div: 190.0ms (63% of total)

ival-mult: 27.0ms (9% of total)

ival-log: 27.0ms (9% of total)

ival-exp: 20.0ms (6.6% of total)

adjust: 10.0ms (3.3% of total)

ival-neg: 7.0ms (2.3% of total)

ival-sqrt: 7.0ms (2.3% of total)

ival-sub: 4.0ms (1.3% of total)

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

ival-pi: 2.0ms (0.7% of total)

ival-add: 2.0ms (0.7% of total)

exact: 1.0ms (0.3% of total)

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

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

series203.0ms (1.4%)

Memory

14.5MiB live, 337.2MiB allocated

Counts

26 → 216

Calls

Call 1

Inputs
#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 #s(literal 1/4 binary64) (PI.f64)) (patch (.f64 #s(literal 1/4 binary64) (PI.f64)) #<representation binary64>) () ())
#s(alt (/.f64 (PI.f64) #s(literal 4 binary64)) (patch (/.f64 (PI.f64) #s(literal 4 binary64)) #<representation binary64>) () ())
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Outputs
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Calls

3 calls:

Time

Variable

Point

Expression

70.0ms

-inf

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

63.0ms

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

56.0ms

inf

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

simplify140.0ms (1%)

Memory

5.8MiB live, 201.8MiB allocated

Algorithm

1×	egg-herbie

Rules

5 926×	`lower-fma.f64`
5 926×	`lower-fma.f32`
4 222×	`lower-*.f64`
4 222×	`lower-*.f32`
1 734×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	391	7313
1	1268	6445
2	5438	5679
0	8489	5542

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

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

rewrite210.0ms (1.4%)

Memory

6.7MiB live, 362.5MiB allocated

Rules

4 766×	`lower-/.f32`
4 750×	`lower-/.f64`
3 444×	`lower-*.f32`
3 430×	`lower-*.f64`
2 510×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	367
0	76	230
1	296	226
2	1847	226
0	8637	226

Stop Event

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

Counts

26 → 1 506

Calls

Call 1

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

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

eval747.0ms (5.2%)

Memory: -71.9MiB live, 749.2MiB allocated
Compiler: Compiled 70 391 to 8 581 computations (87.8% saved)

prune61.0ms (0.4%)

Memory

20.2MiB live, 186.0MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	3 009	12	3 021
Fresh	5	1	6
Picked	4	1	5
Done	0	0	0
Total	3 018	14	3 032

Accuracy

100.0%

Counts

3 032 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (PI.f64)) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -4 binary64)))) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
✓	99.5%	(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
▶	97.1%	(/.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)))
	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
	97.0%	(/.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)))))
	96.8%	(neg.f64 (.f64 (/.f64 (neg.f64 (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
▶	97.3%	(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 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
	96.9%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f)))))
▶	95.6%	(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)))))
	96.6%	(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)))))
	96.1%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
	97.1%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (-.f64 (/.f64 (log.f64 #s(literal 4 binary64)) (.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 (.f64 (PI.f64) f)) (*.f64 #s(literal -1/4 binary64) (PI.f64)))))
▶	96.9%	#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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
	96.9%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (neg.f64 (log.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (/.f64 #s(literal -4 binary64) (PI.f64))))

Compiler

Compiled 441 to 352 computations (20.2% saved)

simplify121.0ms (0.8%)

Memory

-12.6MiB live, 143.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
cost-diff	128	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
cost-diff	704	(fma.f64 #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/48 binary64)) (.f64 #s(literal 1/8 binary64) (PI.f64)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff	128	(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)))))
cost-diff	320	(/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
cost-diff	384	(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
cost-diff	1600	(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
cost-diff	0	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
cost-diff	0	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
cost-diff	384	(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
cost-diff	0	(.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))
cost-diff	0	#s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))
cost-diff	0	(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))
cost-diff	0	(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
cost-diff	64	(-.f64 (.f64 #s(literal 0 binary64) (PI.f64)) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -4 binary64))))
cost-diff	320	(*.f64 #s(literal 0 binary64) (PI.f64))
cost-diff	640	(.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -4 binary64)))
cost-diff	768	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (PI.f64)) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -4 binary64)))) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))

Rules

6 734×	`lower-fma.f32`
6 730×	`lower-fma.f64`
4 096×	`lower-*.f32`
4 062×	`lower-*.f64`
2 198×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	72	739
0	118	709
1	266	659
2	647	615
3	2446	611
4	4902	611
0	8149	611

Stop Event

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

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (PI.f64)) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -4 binary64)))) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
(-.f64 (.f64 #s(literal 0 binary64) (PI.f64)) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -4 binary64))))
(.f64 (neg.f64 (PI.f64)) (log.f64 (tanh.f64 (.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
(*.f64 #s(literal 0 binary64) (PI.f64))
#s(literal 0 binary64)
#s(literal 0 binary64)
(PI.f64)
(.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -4 binary64)))
(.f64 (log.f64 (tanh.f64 (.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (PI.f64))
(*.f64 #s(literal -1/4 binary64) (PI.f64))
#s(literal -1/4 binary64)
(.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -4 binary64))
(.f64 #s(literal -4 binary64) (log.f64 (tanh.f64 (.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
(log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(log.f64 (tanh.f64 (.f64 (.f64 f #s(literal 1/4 binary64)) (PI.f64))))
(tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(tanh.f64 (.f64 (.f64 f #s(literal 1/4 binary64)) (PI.f64)))
(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(.f64 (.f64 f #s(literal 1/4 binary64)) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
f
#s(literal -4 binary64)
(.f64 (.f64 #s(literal -1/4 binary64) (PI.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 (.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 f #s(literal 1/4 binary64)) (PI.f64))))
#s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))
#s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 f #s(literal 1/4 binary64)) (PI.f64)))
(.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))
(.f64 (.f64 f #s(literal 1/4 binary64)) (PI.f64))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(PI.f64)
f
#s(literal 1/4 binary64)
(*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 4 binary64) (.f64 f (PI.f64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 4 binary64) (.f64 f (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
(/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))
(log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(log.f64 (/.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
(/.f64 #s(literal -4 binary64) (PI.f64))
#s(literal -4 binary64)
(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 (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 #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 #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 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 1 binary64)
(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))
#s(literal 1/4 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)))
(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)
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 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) f) f (/.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 (fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(/.f64 (fma.f64 (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64)))
(fma.f64 (.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64)))
(.f64 (fma.f64 #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f)
(.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) f)
(fma.f64 #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/48 binary64)) (.f64 #s(literal 1/8 binary64) (PI.f64)))
(*.f64 (PI.f64) #s(literal 1/12 binary64))
#s(literal -2 binary64)
(*.f64 (PI.f64) #s(literal 1/48 binary64))
(*.f64 #s(literal 1/48 binary64) (PI.f64))
#s(literal 1/48 binary64)
(*.f64 #s(literal 1/8 binary64) (PI.f64))
#s(literal 1/8 binary64)
f
(/.f64 #s(literal 4 binary64) (PI.f64))

localize319.0ms (2.2%)

Memory

-14.0MiB live, 351.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.6796875	(.f64 (fma.f64 #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f)
accuracy	1.0	(fma.f64 #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/48 binary64)) (.f64 #s(literal 1/8 binary64) (PI.f64)))
accuracy	1.0	(*.f64 (PI.f64) #s(literal 1/48 binary64))
accuracy	1.2083652816958894	#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 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))
accuracy	0.4381637695368841	(.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))))
accuracy	1.0	(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	1.5022530652402917	#s(approx (/ (+ (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	0.265625	(/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
accuracy	0.4140625	(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
accuracy	0.4498825195368841	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
accuracy	1.5232815942961022	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
accuracy	0.00390625	(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))
accuracy	0.25	(*.f64 (PI.f64) f)
accuracy	0.328125	(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy	1.487546722040328	#s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))
accuracy	0.0234375	(tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))
accuracy	0.25	(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)
accuracy	0.32421875	(.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -4 binary64)))
accuracy	0.41148378907376815	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (PI.f64)) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -4 binary64)))) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))

Samples

233.0ms	236×	1	valid
13.0ms	4×	2	valid
7.0ms	16×	0	valid

Compiler

Compiled 618 to 64 computations (89.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 196.0ms

ival-mult: 58.0ms (29.6% of total)

ival-div: 36.0ms (18.3% of total)

ival-log: 30.0ms (15.3% of total)

ival-exp: 22.0ms (11.2% of total)

adjust: 14.0ms (7.1% of total)

ival-tanh: 7.0ms (3.6% of total)

ival-sub: 6.0ms (3.1% of total)

ival-neg: 6.0ms (3.1% of total)

ival-add: 6.0ms (3.1% of total)

const: 4.0ms (2% of total)

ival-sqrt: 3.0ms (1.5% of total)

ival-pi: 2.0ms (1% of total)

exact: 1.0ms (0.5% of total)

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

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

series94.0ms (0.6%)

Memory

-3.9MiB live, 114.6MiB allocated

Counts

29 → 264

Calls

Call 1

Inputs
#s(alt (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (PI.f64)) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -4 binary64)))) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64))) (patch (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (PI.f64)) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -4 binary64)))) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -4 binary64))) (patch (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -4 binary64))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 0 binary64) (PI.f64)) (patch (.f64 #s(literal 0 binary64) (PI.f64)) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 #s(literal 0 binary64) (PI.f64)) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -4 binary64)))) (patch (-.f64 (.f64 #s(literal 0 binary64) (PI.f64)) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -4 binary64)))) #<representation binary64>) () ())
#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (patch (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))) (patch #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)) (patch (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) #<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 #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))) (patch #s(approx (neg ( (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))) (patch (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (patch (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())
#s(alt (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))))) (patch (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))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/48 binary64)) (.f64 #s(literal 1/8 binary64) (PI.f64))) (patch (fma.f64 #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/48 binary64)) (.f64 #s(literal 1/8 binary64) (PI.f64))) #<representation binary64>) () ())
#s(alt (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/48 binary64)) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))) (patch (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/48 binary64)) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))) (patch (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f) (patch (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f) #<representation binary64>) () ())
#s(alt (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (patch (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #<representation binary64>) () ())
#s(alt (.f64 (PI.f64) f) (patch (.f64 (PI.f64) f) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (patch (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.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 (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (.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)))) (patch (.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)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/48 binary64)) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (patch #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)) #<representation binary64>) () ())
#s(alt (.f64 (PI.f64) #s(literal 1/48 binary64)) (patch (.f64 (PI.f64) #s(literal 1/48 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/48 binary64)) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) (patch (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/48 binary64)) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) #<representation binary64>) () ())

Outputs
#s(alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (taylor 0 f) (#s(alt (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (PI.f64)) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -4 binary64)))) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64))) (patch (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (PI.f64)) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -4 binary64)))) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64))) #<representation binary64>) () ())) ())
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#s(alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) (taylor -inf f) (#s(alt (.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)))) (patch (.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)))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) (taylor -inf f) (#s(alt (.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)))) (patch (.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)))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) (taylor -inf f) (#s(alt (.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)))) (patch (.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)))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) (taylor -inf f) (#s(alt (.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)))) (patch (.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)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) (taylor -inf f) (#s(alt #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 (PI.f64) #s(literal 1/48 binary64)) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (patch #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) (taylor -inf f) (#s(alt #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 (PI.f64) #s(literal 1/48 binary64)) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (patch #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) (taylor -inf f) (#s(alt #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 (PI.f64) #s(literal 1/48 binary64)) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (patch #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) (taylor -inf f) (#s(alt #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 (PI.f64) #s(literal 1/48 binary64)) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (patch #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)) #<representation binary64>) () ())) ())
#s(alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI)))) (taylor -inf f) (#s(alt (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/48 binary64)) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) (patch (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/48 binary64)) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) #<representation binary64>) () ())) ())
#s(alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI)))) (taylor -inf f) (#s(alt (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/48 binary64)) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) (patch (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/48 binary64)) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) #<representation binary64>) () ())) ())
#s(alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI)))) (taylor -inf f) (#s(alt (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/48 binary64)) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) (patch (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/48 binary64)) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) #<representation binary64>) () ())) ())
#s(alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI)))) (taylor -inf f) (#s(alt (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/48 binary64)) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) (patch (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/48 binary64)) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

33.0ms

-inf

((/ (- (* 0 (PI)) (* (* -1/4 (PI)) (* (log (tanh (* (* (PI) 1/4) f))) -4))) (* (* -1/4 (PI)) (PI))) (* (* -1/4 (PI)) (* (log (tanh (* (* (PI) 1/4) f))) -4)) (* 0 (PI)) (- (* 0 (PI)) (* (* -1/4 (PI)) (* (log (tanh (* (* (PI) 1/4) f))) -4))) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* (* (PI) f) 1/4) (/ 1 (/ 1 (log (/ (/ 4 (PI)) f)))) (/ (/ 4 (PI)) f) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ 1 (log (/ (/ 4 (PI)) f)))) (/ -4 (PI))) (* (* 1/4 (sqrt (PI))) (sqrt (PI))) (/ 1 (* (* 1/4 (sqrt (PI))) (sqrt (PI)))) (neg (* (/ 1 (* (* 1/4 (sqrt (PI))) (sqrt (PI)))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/ 1 (/ (PI) 4)) (+ (* -2 (* (PI) 1/48)) (* 1/8 (PI))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (* (* (PI) 1/4) f) (tanh (* (* (PI) 1/4) f)) (* (PI) f) (/ 1 (log (/ (/ 4 (PI)) f))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (sqrt (PI)) (* (/ 1 (* (* 1/4 (sqrt (PI))) (sqrt (PI)))) (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))))) (* (PI) 1/48) (* (+ (* -2 (* (PI) 1/48)) (* 1/8 (PI))) f))

28.0ms

inf

((/ (- (* 0 (PI)) (* (* -1/4 (PI)) (* (log (tanh (* (* (PI) 1/4) f))) -4))) (* (* -1/4 (PI)) (PI))) (* (* -1/4 (PI)) (* (log (tanh (* (* (PI) 1/4) f))) -4)) (* 0 (PI)) (- (* 0 (PI)) (* (* -1/4 (PI)) (* (log (tanh (* (* (PI) 1/4) f))) -4))) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* (* (PI) f) 1/4) (/ 1 (/ 1 (log (/ (/ 4 (PI)) f)))) (/ (/ 4 (PI)) f) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ 1 (log (/ (/ 4 (PI)) f)))) (/ -4 (PI))) (* (* 1/4 (sqrt (PI))) (sqrt (PI))) (/ 1 (* (* 1/4 (sqrt (PI))) (sqrt (PI)))) (neg (* (/ 1 (* (* 1/4 (sqrt (PI))) (sqrt (PI)))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/ 1 (/ (PI) 4)) (+ (* -2 (* (PI) 1/48)) (* 1/8 (PI))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (* (* (PI) 1/4) f) (tanh (* (* (PI) 1/4) f)) (* (PI) f) (/ 1 (log (/ (/ 4 (PI)) f))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (sqrt (PI)) (* (/ 1 (* (* 1/4 (sqrt (PI))) (sqrt (PI)))) (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))))) (* (PI) 1/48) (* (+ (* -2 (* (PI) 1/48)) (* 1/8 (PI))) f))

12.0ms

((/ (- (* 0 (PI)) (* (* -1/4 (PI)) (* (log (tanh (* (* (PI) 1/4) f))) -4))) (* (* -1/4 (PI)) (PI))) (* (* -1/4 (PI)) (* (log (tanh (* (* (PI) 1/4) f))) -4)) (* 0 (PI)) (- (* 0 (PI)) (* (* -1/4 (PI)) (* (log (tanh (* (* (PI) 1/4) f))) -4))) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* (* (PI) f) 1/4) (/ 1 (/ 1 (log (/ (/ 4 (PI)) f)))) (/ (/ 4 (PI)) f) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ 1 (log (/ (/ 4 (PI)) f)))) (/ -4 (PI))) (* (* 1/4 (sqrt (PI))) (sqrt (PI))) (/ 1 (* (* 1/4 (sqrt (PI))) (sqrt (PI)))) (neg (* (/ 1 (* (* 1/4 (sqrt (PI))) (sqrt (PI)))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/ 1 (/ (PI) 4)) (+ (* -2 (* (PI) 1/48)) (* 1/8 (PI))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (* (* (PI) 1/4) f) (tanh (* (* (PI) 1/4) f)) (* (PI) f) (/ 1 (log (/ (/ 4 (PI)) f))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (sqrt (PI)) (* (/ 1 (* (* 1/4 (sqrt (PI))) (sqrt (PI)))) (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))))) (* (PI) 1/48) (* (+ (* -2 (* (PI) 1/48)) (* 1/8 (PI))) f))

simplify154.0ms (1.1%)

Memory

19.9MiB live, 136.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 668×	`lower-fma.f64`
8 668×	`lower-fma.f32`
4 204×	`lower-*.f64`
4 204×	`lower-*.f32`
2 274×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	333	7070
1	1033	6265
2	4442	5665
0	8670	5540

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))))))))
(* (PI) (+ (log f) (log (* 1/4 (PI)))))
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rewrite183.0ms (1.3%)

Memory

-12.3MiB live, 181.1MiB allocated

Rules

5 004×	`lower-*.f32`
4 970×	`lower-*.f64`
3 830×	`lower-fma.f32`
3 826×	`lower-fma.f64`
2 808×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	534
0	118	339
1	441	324
2	2877	324
0	8385	319

Stop Event

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

Counts

29 → 726

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)) (neg.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)) (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -2 binary64)))
(.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) (pow.f64 (PI.f64) #s(literal -1 binary64)))
(.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(.f64 (/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (PI.f64)) (pow.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (PI.f64)) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (pow.f64 (/.f64 (PI.f64) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (.f64 #s(literal -1/4 binary64) (PI.f64))) (pow.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -2 binary64)))))
(.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (PI.f64)))
(.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (pow.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) #s(literal -1 binary64)))
(.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (PI.f64) (.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) #s(literal -1 binary64))
(/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 1 binary64)) (PI.f64))
(/.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -1/4 binary64)) (.f64 (PI.f64) (PI.f64)))
(/.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (PI.f64)) (.f64 #s(literal -1/4 binary64) (PI.f64)))
(/.f64 (.f64 (neg.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (PI.f64))) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
(/.f64 (.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (PI.f64))) (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (.f64 (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (.f64 #s(literal -1/4 binary64) (PI.f64))) (pow.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -2 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (.f64 #s(literal -1/4 binary64) (PI.f64))) (pow.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (.f64 (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (.f64 #s(literal -1/4 binary64) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -6 binary64)))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 (.f64 (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (.f64 #s(literal -1/4 binary64) (PI.f64))) (pow.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (.f64 #s(literal -1/4 binary64) (PI.f64))) (pow.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))) (neg.f64 (PI.f64)))
(/.f64 (.f64 (neg.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64))))
(/.f64 (.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64))) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))))) (pow.f64 (.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) (PI.f64))
(/.f64 (neg.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal 2 binary64))) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))))
(/.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal 3 binary64)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)) (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))))
(/.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (neg.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64))))
(/.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
(/.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)))
(neg.f64 (.f64 (.f64 (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (.f64 #s(literal -1/4 binary64) (PI.f64))) (pow.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -2 binary64))))
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#s(approx (/ (+ (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 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(sqrt.f64 (PI.f64))
(fabs.f64 (neg.f64 (sqrt.f64 (PI.f64))))
(fabs.f64 (sqrt.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(exp.f64 (log.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))) (neg.f64 (PI.f64))) #s(literal -4 binary64))
(.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(.f64 (.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (pow.f64 (PI.f64) #s(literal -1 binary64))) #s(literal 4 binary64))
(.f64 (.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal 4 binary64)) (pow.f64 (PI.f64) #s(literal -1 binary64)))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (PI.f64)) #s(literal 4 binary64))
(.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 (pow.f64 (PI.f64) #s(literal -1 binary64)) (.f64 #s(literal 4 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 (pow.f64 (PI.f64) #s(literal -1 binary64)) (/.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal 1/4 binary64)))
(.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (/.f64 #s(literal 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 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(.f64 #s(literal 4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(.f64 #s(literal 4 binary64) (/.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (PI.f64)))
(.f64 #s(literal 1 binary64) (.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(pow.f64 (/.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)))) #s(literal -1 binary64))
(/.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 #s(literal -4 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 (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))) (/.f64 #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 -1 binary64)) (*.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)) (neg.f64 (PI.f64)))
(/.f64 (.f64 #s(literal 4 binary64) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (PI.f64))
(/.f64 (.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #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))) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))) (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))) (PI.f64)) #s(literal 1/4 binary64))
(/.f64 (/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) #s(literal 1/4 binary64)) (PI.f64))
(/.f64 (neg.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (*.f64 #s(literal 1/4 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)))))
#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 -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 #s(literal 1/48 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/48 binary64)))
(*.f64 #s(literal 1/48 binary64) (PI.f64))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/48 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/48 binary64) (PI.f64)))
(*.f64 (PI.f64) #s(literal 1/48 binary64))
(.f64 (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f)
(.f64 f (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/64 binary64) (.f64 (PI.f64) (PI.f64)))) f) (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal -1/8 binary64) (PI.f64))))
(/.f64 (.f64 (fma.f64 #s(literal -1/13824 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (.f64 #s(literal 1/512 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) f) (fma.f64 #s(literal 1/576 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 #s(literal 1/8 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/8 binary64) (PI.f64)) (*.f64 #s(literal -1/24 binary64) (PI.f64))))))
(/.f64 (.f64 f (-.f64 (.f64 #s(literal 1/576 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/64 binary64) (.f64 (PI.f64) (PI.f64))))) (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal -1/8 binary64) (PI.f64))))
(/.f64 (.f64 f (fma.f64 #s(literal -1/13824 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (.f64 #s(literal 1/512 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (fma.f64 #s(literal 1/576 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 #s(literal 1/8 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/8 binary64) (PI.f64)) (*.f64 #s(literal -1/24 binary64) (PI.f64))))))
(fma.f64 (.f64 #s(literal -1/24 binary64) (PI.f64)) f (.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) f))
(fma.f64 (.f64 #s(literal 1/8 binary64) (PI.f64)) f (.f64 (*.f64 #s(literal -1/24 binary64) (PI.f64)) f))
(fma.f64 f (.f64 #s(literal -1/24 binary64) (PI.f64)) (.f64 f (*.f64 #s(literal 1/8 binary64) (PI.f64))))
(fma.f64 f (.f64 #s(literal 1/8 binary64) (PI.f64)) (.f64 f (*.f64 #s(literal -1/24 binary64) (PI.f64))))
(+.f64 (.f64 (.f64 #s(literal -1/24 binary64) (PI.f64)) f) (.f64 (.f64 #s(literal 1/8 binary64) (PI.f64)) f))
(+.f64 (.f64 (.f64 #s(literal 1/8 binary64) (PI.f64)) f) (.f64 (.f64 #s(literal -1/24 binary64) (PI.f64)) f))
(+.f64 (.f64 f (.f64 #s(literal -1/24 binary64) (PI.f64))) (.f64 f (.f64 #s(literal 1/8 binary64) (PI.f64))))
(+.f64 (.f64 f (.f64 #s(literal 1/8 binary64) (PI.f64))) (.f64 f (.f64 #s(literal -1/24 binary64) (PI.f64))))

eval160.0ms (1.1%)

Memory: 24.1MiB live, 252.9MiB allocated
Compiler: Compiled 24 446 to 3 558 computations (85.4% saved)

prune35.0ms (0.2%)

Memory

4.9MiB live, 90.1MiB allocated

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	1 061	8	1 069
Fresh	5	3	8
Picked	4	1	5
Done	0	1	1
Total	1 070	13	1 083

Accuracy

100.0%

Counts

1 083 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.1%	(/.f64 (/.f64 (.f64 (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
	97.1%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (PI.f64)) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) #s(literal -4 binary64)))) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
▶	99.4%	(/.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
▶	96.8%	(/.f64 (.f64 (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
✓	99.5%	(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
▶	97.5%	(/.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 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
✓	97.1%	(/.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)))
	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
	97.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
▶	96.9%	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
	96.6%	(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)))))
	97.1%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (-.f64 (/.f64 (log.f64 #s(literal 4 binary64)) (.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 (.f64 (PI.f64) f)) (*.f64 #s(literal -1/4 binary64) (PI.f64)))))
▶	96.9%	#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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))

Compiler

Compiled 380 to 301 computations (20.8% saved)

simplify132.0ms (0.9%)

Memory

-1.6MiB live, 74.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#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 -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))
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 (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
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 (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
cost-diff	384	(fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64)))
cost-diff	0	#s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))
cost-diff	0	(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))
cost-diff	0	(.f64 (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
cost-diff	1984	(/.f64 (.f64 (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
cost-diff	0	(/.f64 #s(literal -1 binary64) (log.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))
cost-diff	0	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
cost-diff	1280	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
cost-diff	0	(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))
cost-diff	0	(PI.f64)
cost-diff	0	(/.f64 #s(literal 4 binary64) (PI.f64))
cost-diff	0	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
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 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
cost-diff	512	(.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64))
cost-diff	768	(/.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))

Rules

4 156×	`lower-*.f32`
4 132×	`lower-*.f64`
3 580×	`lower-fma.f32`
3 576×	`lower-fma.f64`
1 954×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	524
0	91	493
1	210	475
2	504	470
3	1438	466
4	3508	466
5	6766	466
0	8346	466

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
(.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64))
(.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(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 -4 binary64)
(.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64))
(*.f64 #s(literal -1/4 binary64) (PI.f64))
#s(literal -1/4 binary64)
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))
#s(approx (tanh (* f (* 1/4 (PI)))) (.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)
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (log.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))
#s(literal -1 binary64)
(log.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
(PI.f64)
#s(literal 1/4 binary64)
(/.f64 #s(literal -4 binary64) (PI.f64))
#s(literal -4 binary64)
(/.f64 (.f64 (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(.f64 (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))
#s(approx (tanh (* f (* 1/4 (PI)))) (.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
(PI.f64)
#s(literal 1/4 binary64)
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.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 (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64)))
(.f64 (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f)
(fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64)))
#s(literal -1/24 binary64)
(PI.f64)
(*.f64 #s(literal 1/8 binary64) (PI.f64))
#s(literal 1/8 binary64)
f
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(*.f64 #s(literal -1/4 binary64) (PI.f64))
#s(literal -1/4 binary64)

Outputs
(/.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64))
(.f64 (neg.f64 (PI.f64)) (log.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(.f64 (.f64 #s(literal 1/4 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 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(PI.f64)
(log.f64 (tanh.f64 (.f64 (.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 -4 binary64)
(.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64))
(*.f64 #s(literal -1/4 binary64) (PI.f64))
#s(literal -1/4 binary64)
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))
#s(approx (tanh (* f (* 1/4 (PI)))) (.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)
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (log.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(.f64 (log.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(neg.f64 (log.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (log.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))
#s(literal -1 binary64)
(log.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
(PI.f64)
#s(literal 1/4 binary64)
(/.f64 #s(literal -4 binary64) (PI.f64))
#s(literal -4 binary64)
(/.f64 (.f64 (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(.f64 (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))
#s(approx (tanh (* f (* 1/4 (PI)))) (.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
(PI.f64)
#s(literal 1/4 binary64)
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.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 (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 f (PI.f64))) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 f (PI.f64))) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 f (PI.f64))) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(/.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 f (PI.f64))) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64)))
(fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 f (PI.f64))) f (/.f64 #s(literal 4 binary64) (PI.f64)))
(.f64 (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f)
(.f64 #s(literal 1/12 binary64) (.f64 f (PI.f64)))
(fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64)))
(*.f64 #s(literal 1/12 binary64) (PI.f64))
#s(literal -1/24 binary64)
(PI.f64)
(*.f64 #s(literal 1/8 binary64) (PI.f64))
#s(literal 1/8 binary64)
f
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(*.f64 #s(literal -1/4 binary64) (PI.f64))
#s(literal -1/4 binary64)

localize408.0ms (2.8%)

Memory

-11.3MiB live, 342.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.4140625	(/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)
accuracy	0.6796875	(.f64 (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f)
accuracy	1.0	(fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64)))
accuracy	1.2083652816958894	#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 -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))
accuracy	0.25	(*.f64 f (PI.f64))
accuracy	0.36328125	(/.f64 (.f64 (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	1.487546722040328	#s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))
accuracy	0.25	(*.f64 f (PI.f64))
accuracy	0.265625	(/.f64 #s(literal -1 binary64) (log.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))
accuracy	0.4498825195368841	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
accuracy	1.5232815942961022	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
accuracy	0.00390625	(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))
accuracy	0.25	(*.f64 f (PI.f64))
accuracy	0.4381637695368841	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
accuracy	1.487546722040328	#s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))
accuracy	0.0234375	(tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))
accuracy	0.25	(*.f64 f (PI.f64))
accuracy	0.32421875	(.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
accuracy	0.41148378907376815	(/.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))

Samples

315.0ms	236×	1	valid
9.0ms	4×	2	valid
6.0ms	16×	0	valid

Compiler

Compiled 427 to 56 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 251.0ms

ival-mult: 61.0ms (24.3% of total)

ival-div: 44.0ms (17.5% of total)

ival-exp: 33.0ms (13.1% of total)

ival-log: 33.0ms (13.1% of total)

ival-add: 27.0ms (10.7% of total)

ival-sqrt: 22.0ms (8.8% of total)

adjust: 12.0ms (4.8% of total)

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

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

const: 4.0ms (1.6% of total)

ival-pi: 2.0ms (0.8% 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)

series222.0ms (1.5%)

Memory

37.5MiB live, 220.6MiB allocated

Counts

24 → 228

Calls

Call 1

Inputs
#s(alt (/.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64))) (patch (/.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (patch (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (patch (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/4 binary64) (PI.f64)) (patch (.f64 #s(literal 1/4 binary64) (PI.f64)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (patch (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 4 binary64) (PI.f64)) (patch (/.f64 #s(literal 4 binary64) (PI.f64)) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (patch (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) (patch (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #<representation binary64>) () ())
#s(alt #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))) (patch #s(approx (neg ( (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (log.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (patch (/.f64 #s(literal -1 binary64) (log.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) (patch (/.f64 (.f64 (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())
#s(alt (.f64 (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (patch (.f64 (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())
#s(alt #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) (patch #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) (patch (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (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 (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (.f64 #s(literal -1/4 binary64) (PI.f64))) (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 (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (*.f64 #s(literal -1/4 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 (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (patch (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (patch #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)) #<representation binary64>) () ())
#s(alt (.f64 f (PI.f64)) (patch (.f64 f (PI.f64)) #<representation binary64>) () ())
#s(alt (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) (patch (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) (patch (.f64 (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f) (patch (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f) #<representation binary64>) () ())

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

Calls

3 calls:

Time

Variable

Point

Expression

103.0ms

((/ (* (* (* 1/4 (PI)) (log (tanh (* (* f (PI)) 1/4)))) -4) (* (* -1/4 (PI)) (PI))) (* (* (* 1/4 (PI)) (log (tanh (* (* f (PI)) 1/4)))) -4) (* (* 1/4 (PI)) (log (tanh (* (* f (PI)) 1/4)))) (* 1/4 (PI)) (* (/ 4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (PI)) (PI) (log (tanh (* f (* 1/4 (PI))))) (/ 1 (/ -1 (log (* (* f (PI)) 1/4)))) (* (/ 1 (/ -1 (log (* (* f (PI)) 1/4)))) (/ -4 (PI))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/ -1 (log (* (* f (PI)) 1/4))) (/ (* (log (tanh (* f (* 1/4 (PI))))) (/ 4 (sqrt (PI)))) (sqrt (PI))) (* (log (tanh (* f (* 1/4 (PI))))) (/ 4 (sqrt (PI)))) (tanh (* f (* 1/4 (PI)))) (+ (* -1/24 (PI)) (* 1/8 (PI))) (/ (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (* -1/4 (PI))) (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))))) (* f (PI)) (tanh (* (* f (PI)) 1/4)) (sqrt (PI)) (* (+ (* -1/24 (PI)) (* 1/8 (PI))) f) (/ (+ (* (* (+ (* -1/24 (PI)) (* 1/8 (PI))) f) f) (/ 4 (PI))) f))

48.0ms

-inf

((/ (* (* (* 1/4 (PI)) (log (tanh (* (* f (PI)) 1/4)))) -4) (* (* -1/4 (PI)) (PI))) (* (* (* 1/4 (PI)) (log (tanh (* (* f (PI)) 1/4)))) -4) (* (* 1/4 (PI)) (log (tanh (* (* f (PI)) 1/4)))) (* 1/4 (PI)) (* (/ 4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (PI)) (PI) (log (tanh (* f (* 1/4 (PI))))) (/ 1 (/ -1 (log (* (* f (PI)) 1/4)))) (* (/ 1 (/ -1 (log (* (* f (PI)) 1/4)))) (/ -4 (PI))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/ -1 (log (* (* f (PI)) 1/4))) (/ (* (log (tanh (* f (* 1/4 (PI))))) (/ 4 (sqrt (PI)))) (sqrt (PI))) (* (log (tanh (* f (* 1/4 (PI))))) (/ 4 (sqrt (PI)))) (tanh (* f (* 1/4 (PI)))) (+ (* -1/24 (PI)) (* 1/8 (PI))) (/ (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (* -1/4 (PI))) (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))))) (* f (PI)) (tanh (* (* f (PI)) 1/4)) (sqrt (PI)) (* (+ (* -1/24 (PI)) (* 1/8 (PI))) f) (/ (+ (* (* (+ (* -1/24 (PI)) (* 1/8 (PI))) f) f) (/ 4 (PI))) f))

35.0ms

inf

((/ (* (* (* 1/4 (PI)) (log (tanh (* (* f (PI)) 1/4)))) -4) (* (* -1/4 (PI)) (PI))) (* (* (* 1/4 (PI)) (log (tanh (* (* f (PI)) 1/4)))) -4) (* (* 1/4 (PI)) (log (tanh (* (* f (PI)) 1/4)))) (* 1/4 (PI)) (* (/ 4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (PI)) (PI) (log (tanh (* f (* 1/4 (PI))))) (/ 1 (/ -1 (log (* (* f (PI)) 1/4)))) (* (/ 1 (/ -1 (log (* (* f (PI)) 1/4)))) (/ -4 (PI))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/ -1 (log (* (* f (PI)) 1/4))) (/ (* (log (tanh (* f (* 1/4 (PI))))) (/ 4 (sqrt (PI)))) (sqrt (PI))) (* (log (tanh (* f (* 1/4 (PI))))) (/ 4 (sqrt (PI)))) (tanh (* f (* 1/4 (PI)))) (+ (* -1/24 (PI)) (* 1/8 (PI))) (/ (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (* -1/4 (PI))) (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))))) (* f (PI)) (tanh (* (* f (PI)) 1/4)) (sqrt (PI)) (* (+ (* -1/24 (PI)) (* 1/8 (PI))) f) (/ (+ (* (* (+ (* -1/24 (PI)) (* 1/8 (PI))) f) f) (/ 4 (PI))) f))

simplify334.0ms (2.3%)

Memory

13.9MiB live, 174.3MiB allocated

Algorithm

1×	egg-herbie

Rules

6 342×	`lower-fma.f64`
6 342×	`lower-fma.f32`
4 532×	`lower-*.f64`
4 532×	`lower-*.f32`
1 754×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	392	6904
1	1278	6124
2	5532	5460
0	8504	5314

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

rewrite226.0ms (1.6%)

Memory

-12.8MiB live, 143.2MiB allocated

Rules

4 204×	`lower-*.f32`
4 180×	`lower-*.f64`
4 154×	`lower-/.f32`
4 136×	`lower-/.f64`
3 938×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	396
0	91	282
1	359	272
2	2385	266
0	8808	266

Stop Event

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

Counts

24 → 759

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
(.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64))
(.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 4 binary64) (PI.f64))
(PI.f64)
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(/.f64 #s(literal -1 binary64) (log.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 (.f64 (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(.f64 (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
#s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))
(fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64)))
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(*.f64 f (PI.f64))
(tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))
(sqrt.f64 (PI.f64))
(.f64 (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f)
(/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)

Outputs
(.f64 (pow.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 #s(literal -1/4 binary64) (PI.f64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (PI.f64) (.f64 #s(literal -4 binary64) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 #s(literal -4 binary64) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (.f64 #s(literal -4 binary64) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (PI.f64) (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (PI.f64) (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64)) (PI.f64))) #s(literal -4 binary64)) (pow.f64 (PI.f64) #s(literal -1 binary64)))
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(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f) f) #s(literal 2 binary64)) (pow.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -2 binary64))) (.f64 f (fma.f64 (.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal -4 binary64) (PI.f64)))))
(/.f64 (fma.f64 (pow.f64 f #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -3 binary64))) (.f64 f (fma.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (-.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f) f))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64)))) (neg.f64 f))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 f (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 f (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 f (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 f (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 f (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64)))) f))
(neg.f64 (/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 f)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f) f) #s(literal 2 binary64)) (.f64 f (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal -4 binary64) (PI.f64))))) (/.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -2 binary64)) (.f64 f (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal -4 binary64) (PI.f64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 f)) (/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 f)))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f) f) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal -4 binary64) (PI.f64)))) f) (/.f64 (/.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -2 binary64)) (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal -4 binary64) (PI.f64)))) f))
(exp.f64 (.f64 (log.f64 (/.f64 f (fma.f64 (.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64))))) #s(literal -1 binary64)))

eval396.0ms (2.7%)

Memory: 4.6MiB live, 286.8MiB allocated
Compiler: Compiled 41 321 to 5 933 computations (85.6% saved)

prune133.0ms (0.9%)

Memory

-11.2MiB live, 105.0MiB allocated

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	1 795	8	1 803
Fresh	2	4	6
Picked	2	3	5
Done	0	2	2
Total	1 799	17	1 816

Accuracy

100.0%

Counts

1 816 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.1%	(/.f64 (/.f64 (.f64 (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
	97.1%	(/.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( (* f (PI)) 1/4)) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
	97.5%	(/.f64 (.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) #s(literal -4 binary64)) (PI.f64))
✓	96.8%	(/.f64 (.f64 (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
	99.4%	(/.f64 (.f64 #s(literal -1 binary64) (.f64 (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64))) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
✓	99.5%	(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
	54.6%	(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (* (+ (* -1/24 (PI)) (* 1/8 (PI))) f) f) (/ 4 (PI))) f) (.f64 (fma.f64 #s(literal 1/12 binary64) (PI.f64) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) f)))) (.f64 #s(literal -1/4 binary64) (PI.f64)))
	1.6%	(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (* (+ (* -1/24 (PI)) (* 1/8 (PI))) f) f) (/ 4 (PI))) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
✓	97.1%	(/.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)))
	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
✓	96.9%	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
	96.6%	(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)))))
	96.9%	#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 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) (log.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
	96.9%	#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 #s(literal 4 binary64) (.f64 (/.f64 #s(literal -1 binary64) (log.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (PI.f64)))))
	97.0%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(literal -4 binary64) (/.f64 (neg.f64 (PI.f64)) (log.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
	97.1%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (-.f64 (/.f64 (log.f64 #s(literal 4 binary64)) (.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 (.f64 (PI.f64) f)) (*.f64 #s(literal -1/4 binary64) (PI.f64)))))
✓	96.9%	#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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))

Compiler

Compiled 945 to 425 computations (55% saved)

regimes62.0ms (0.4%)

Memory

19.4MiB live, 105.2MiB allocated

Counts

40 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (* (+ (* -1/24 (PI)) (* 1/8 (PI))) f) f) (/ 4 (PI))) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (neg.f64 (log.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (/.f64 #s(literal -4 binary64) (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(literal -4 binary64) (/.f64 (neg.f64 (PI.f64)) (log.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(literal 4 binary64) (.f64 (/.f64 #s(literal -1 binary64) (log.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (PI.f64)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) (log.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
(/.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( (* f (PI)) 1/4)) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (* (+ (* -1/24 (PI)) (* 1/8 (PI))) f) f) (/ 4 (PI))) f) (.f64 (fma.f64 #s(literal 1/12 binary64) (PI.f64) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) f)))) (.f64 #s(literal -1/4 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 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(/.f64 (.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) #s(literal -4 binary64)) (PI.f64))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (PI.f64)) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) #s(literal -4 binary64)))) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
(/.f64 (.f64 (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (.f64 (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(neg.f64 (.f64 (/.f64 (neg.f64 (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (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)))))
(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)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 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 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (-.f64 (/.f64 (log.f64 #s(literal 4 binary64)) (.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 (.f64 (PI.f64) f)) (*.f64 #s(literal -1/4 binary64) (PI.f64)))))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64))) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
(/.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (PI.f64)) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -4 binary64)))) (.f64 (.f64 #s(literal -1/4 binary64) (PI.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 (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 (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))))
(/.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 (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 3 binary64))) (+.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 0 binary64)))

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:

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

Results

Accuracy	Segments	Branch
99.5%	1	`f`
99.5%	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))))))))`
99.5%	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)))))))`
99.5%	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))))))`
99.5%	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)))))`
99.5%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes43.0ms (0.3%)

Memory

-14.1MiB live, 63.3MiB allocated

Counts

25 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (* (+ (* -1/24 (PI)) (* 1/8 (PI))) f) f) (/ 4 (PI))) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (neg.f64 (log.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (/.f64 #s(literal -4 binary64) (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(literal -4 binary64) (/.f64 (neg.f64 (PI.f64)) (log.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(literal 4 binary64) (.f64 (/.f64 #s(literal -1 binary64) (log.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (PI.f64)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) (log.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
(/.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( (* f (PI)) 1/4)) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (* (+ (* -1/24 (PI)) (* 1/8 (PI))) f) f) (/ 4 (PI))) f) (.f64 (fma.f64 #s(literal 1/12 binary64) (PI.f64) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) f)))) (.f64 #s(literal -1/4 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 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(/.f64 (.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) #s(literal -4 binary64)) (PI.f64))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (PI.f64)) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) #s(literal -4 binary64)))) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
(/.f64 (.f64 (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (.f64 (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (PI.f64) (.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(neg.f64 (.f64 (/.f64 (neg.f64 (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (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)))))
(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)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))

Outputs

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

Calls

6 calls:

9.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
7.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
7.0ms	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)))))
6.0ms	(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
97.5%	1	`f`
97.5%	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))))))))`
97.5%	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)))))))`
97.5%	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))))))`
97.5%	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)))))`
97.5%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes28.0ms (0.2%)

Memory

-3.2MiB live, 36.7MiB allocated

Counts

13 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (* (+ (* -1/24 (PI)) (* 1/8 (PI))) f) f) (/ 4 (PI))) f) (.f64 (.f64 #s(literal 1/12 binary64) (PI.f64)) f)))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (neg.f64 (log.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (/.f64 #s(literal -4 binary64) (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(literal -4 binary64) (/.f64 (neg.f64 (PI.f64)) (log.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( f (* 1/4 (PI)))) (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(literal 4 binary64) (.f64 (/.f64 #s(literal -1 binary64) (log.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (PI.f64)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) (log.f64 (.f64 (.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
(/.f64 (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( (* f (PI)) 1/4)) (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (.f64 (.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (* (+ (* -1/24 (PI)) (* 1/8 (PI))) f) f) (/ 4 (PI))) f) (.f64 (fma.f64 #s(literal 1/12 binary64) (PI.f64) (/.f64 #s(literal 4 binary64) (.f64 (.f64 f f) (PI.f64)))) f)))) (.f64 #s(literal -1/4 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 (/.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:

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

Results

Accuracy	Segments	Branch
97.1%	1	`f`
97.1%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
97.1%	1	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
97.1%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
97.1%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
97.1%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`

Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes8.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
96.9%	1	`f`
96.9%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
96.9%	1	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
96.9%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
96.9%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
96.9%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`

Compiler

Compiled 138 to 60 computations (56.5% saved)

simplify28.0ms (0.2%)

Memory

-18.0MiB live, 53.6MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`-commutative-binary64-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	92
1	50	92

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness833.0ms (5.8%)

Memory

-2.6MiB live, 442.8MiB allocated

Rules

18 550×	`lower-fma.f64`
18 550×	`lower-fma.f32`
5 926×	`lower-fma.f64`
5 926×	`lower-fma.f32`
5 070×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	58	396
0	91	282
1	359	272
2	2385	266
0	8808	266
0	391	7313
1	1268	6445
2	5438	5679
0	8489	5542
0	72	534
0	118	339
1	441	324
2	2877	324
0	8385	319
0	16	129
0	29	87
1	119	49
2	783	49
0	8561	49
0	171	1490
1	484	1364
2	1754	1236
3	7067	1196
0	9194	1178

Stop Event

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

Compiler

Compiled 251 to 138 computations (45% saved)

preprocess37.0ms (0.3%)

Memory: -0.4MiB live, 77.5MiB allocated
Compiler: Compiled 176 to 84 computations (52.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze237.0ms (1.6%)

sample6.0s (41.2%)

explain498.0ms (3.4%)

preprocess517.0ms (3.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify228.0ms (1.6%)

localize116.0ms (0.8%)

series174.0ms (1.2%)

simplify227.0ms (1.6%)

rewrite243.0ms (1.7%)

eval387.0ms (2.7%)

prune51.0ms (0.3%)

simplify104.0ms (0.7%)

localize410.0ms (2.8%)

series203.0ms (1.4%)

simplify140.0ms (1%)

rewrite210.0ms (1.4%)

eval747.0ms (5.2%)

prune61.0ms (0.4%)

simplify121.0ms (0.8%)

localize319.0ms (2.2%)

series94.0ms (0.6%)

simplify154.0ms (1.1%)

rewrite183.0ms (1.3%)

eval160.0ms (1.1%)

prune35.0ms (0.2%)

simplify132.0ms (0.9%)

localize408.0ms (2.8%)

series222.0ms (1.5%)

simplify334.0ms (2.3%)

rewrite226.0ms (1.6%)

eval396.0ms (2.7%)

prune133.0ms (0.9%)

regimes62.0ms (0.4%)

regimes43.0ms (0.3%)

regimes28.0ms (0.2%)

regimes8.0ms (0.1%)

simplify28.0ms (0.2%)

soundness833.0ms (5.8%)

preprocess37.0ms (0.3%)

end0.0ms (0%)

Profiling