Metrics for VandenBroeck and Keller, Equation (20)

analyze203.0ms (1.1%)

Memory

24.9MiB live, 261.6MiB 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 (31.7%)

Memory

82.7MiB live, 6 205.4MiB allocated

Samples

2.4s	7 588×	1	valid
2.1s	6 978×	1	invalid
379.0ms	164×	2	valid
58.0ms	504×	0	valid
1.0ms	8×	0	invalid
1.0ms	7×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 4.3s

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

ival-div: 584.0ms (13.4% of total)

ival-neg: 537.0ms (12.4% of total)

ival-mult: 437.0ms (10.1% of total)

adjust: 374.0ms (8.6% of total)

ival-add: 359.0ms (8.3% of total)

ival-log: 307.0ms (7.1% of total)

ival-pi: 214.0ms (4.9% of total)

ival-sub: 144.0ms (3.3% of total)

exact: 16.0ms (0.4% of total)

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

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

Bogosity

preprocess509.0ms (2.7%)

Memory

36.4MiB live, 463.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

explain651.0ms (3.5%)

Memory

-26.3MiB live, 732.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
248	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))))`
3	0	-	-	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
1	3	(27103.728576654947)	-	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (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	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	248	1
`log.f64`	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`	sensitivity	4	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	3	0
↳	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`	overflow	3
↳	`(+.f64 (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	3
↳	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`	overflow	3
↳	`(-.f64 (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	3

Confusion

	Predicted +	Predicted -
+	251	0
-	1	4

Precision

0.996031746031746

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	251	0	0
-	1	1	3

Precision?

0.9920948616600791

Recall?

1.0

Freqs

test

number	freq
0	4
1	249
2	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

300.0ms	478×	1	valid
6.0ms	6×	2	valid
4.0ms	28×	0	valid

Compiler

Compiled 472 to 68 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 275.0ms

ival-log: 122.0ms (44.4% of total)

ival-exp: 58.0ms (21.1% of total)

ival-mult: 42.0ms (15.3% of total)

ival-div: 18.0ms (6.6% of total)

adjust: 11.0ms (4% of total)

ival-neg: 8.0ms (2.9% of total)

ival-sub: 6.0ms (2.2% of total)

ival-pi: 5.0ms (1.8% of total)

ival-add: 5.0ms (1.8% of total)

exact: 1.0ms (0.4% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.3%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))

Status

Accuracy

Program

▶

7.3%

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

Compiler

Compiled 38 to 16 computations (57.9% saved)

simplify311.0ms (1.6%)

Memory

-0.7MiB live, 399.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize111.0ms (0.6%)

Memory

2.9MiB live, 233.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
✓	accuracy	99.4%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
✓	accuracy	98.4%	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (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	10.6%	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))

Samples

70.0ms	239×	1	valid
3.0ms	14×	0	valid
3.0ms	3×	2	valid

Compiler

Compiled 198 to 18 computations (90.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-exp: 19.0ms (32.8% of total)

ival-div: 9.0ms (15.5% of total)

adjust: 6.0ms (10.4% of total)

ival-mult: 6.0ms (10.4% of total)

ival-log: 6.0ms (10.4% of total)

ival-neg: 4.0ms (6.9% of total)

ival-pi: 2.0ms (3.5% of total)

ival-sub: 2.0ms (3.5% of total)

ival-add: 2.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

series121.0ms (0.6%)

Memory

14.3MiB live, 182.2MiB allocated

Counts

7 → 60

Calls

Call 1

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

Outputs
#<alt (/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI)))))>
#<alt (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)>
#<alt (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)>
#<alt (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))>
#<alt (- (* -2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))>
#<alt (- (* f (- (* -2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))>
#<alt (- (* f (- (* f (- (* -2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))>
#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* f (- (* 1/4 (PI)) (* -1/4 (PI))))>
#<alt (* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))>
#<alt (* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (* 1/122880 (pow (PI) 5)) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))>
#<alt (* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (+ (* 1/122880 (pow (PI) 5)) (* (pow f 2) (- (* 1/82575360 (pow (PI) 7)) (* -1/82575360 (pow (PI) 7))))) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))>
#<alt (+ (* 2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))>
#<alt (+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))))>
#<alt (+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))) (* f (+ (* 2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))))))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>

Calls

15 calls:

Time	Variable		Point	Expression
56.0ms	f	@	inf	(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))
55.0ms	f	@	-inf	(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))
3.0ms	f	@	0	(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))
1.0ms	f	@	0	(/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))
1.0ms	f	@	-inf	(/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))

simplify466.0ms (2.5%)

Memory

-31.8MiB live, 663.0MiB 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	1748	1236
3	7034	1196
0	9162	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)
(/ (+ (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)))))))
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Outputs
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(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))

rewrite308.0ms (1.6%)

Memory

37.6MiB live, 425.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

eval276.0ms (1.5%)

Memory: 6.2MiB live, 322.5MiB allocated
Compiler: Compiled 39 804 to 4 665 computations (88.3% saved)

prune300.0ms (1.6%)

Memory

-17.6MiB live, 254.0MiB allocated

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	954	18	972
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	955	18	973

Accuracy

99.8%

Counts

973 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.9%	(/.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)))
▶	99.3%	(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
	99.1%	(/.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)))))
	97.8%	(-.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (.f64 (PI.f64) #s(literal -1/4 binary64))))
	99.1%	(.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
	97.8%	(.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))))
▶	97.7%	(.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (/.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
	97.6%	(neg.f64 (/.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (-.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64)))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (+.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))))
	97.7%	(neg.f64 (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64))) #s(literal 4 binary64)) (.f64 (+.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (+.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))) (PI.f64))))
	99.0%	(neg.f64 (/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
	99.0%	(neg.f64 (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
▶	98.0%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sinh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
▶	99.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
	98.0%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
	97.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
▶	96.4%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
	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)))))))) (fma.f64 (-.f64 (neg.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)) (.f64 f (.f64 (.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal -2 binary64) (PI.f64))))))
	96.4%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (.f64 #s(literal -4 binary64) (-.f64 (neg.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f))) (PI.f64)))

Compiler

Compiled 1 008 to 590 computations (41.5% saved)

simplify431.0ms (2.3%)

Memory

-14.6MiB live, 277.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
✓	cost-diff	0	(pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))
✓	cost-diff	0	(neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
✓	cost-diff	128	(.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (/.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
✓	cost-diff	128	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sinh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
✓	cost-diff	576	(log.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
✓	cost-diff	7040	(/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
✓	cost-diff	128	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
✓	cost-diff	576	(log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
✓	cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))))))
✓	cost-diff	128	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
✓	cost-diff	320	(/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
✓	cost-diff	0	(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)
✓	cost-diff	0	(tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))
✓	cost-diff	0	(log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
✓	cost-diff	0	(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))

Rules

3 360×	`lower-/.f32`
3 350×	`lower-*.f32`
3 344×	`lower-/.f64`
3 334×	`lower-*.f64`
1 502×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	508
0	77	477
1	166	452
2	432	438
3	1318	438
4	5103	438
0	8270	438

Stop Event

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

Calls

Call 1

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

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

localize580.0ms (3.1%)

Memory

15.4MiB live, 677.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(/.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
✓	accuracy	99.2%	(PI.f64)
✓	accuracy	99.2%	(pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))
✓	accuracy	99.0%	(.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (/.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
✓	accuracy	99.6%	(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)
✓	accuracy	99.4%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sinh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
✓	accuracy	99.2%	(PI.f64)
✓	accuracy	99.2%	(/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
✓	accuracy	99.6%	(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
✓	accuracy	99.4%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
✓	accuracy	99.2%	(PI.f64)
✓	accuracy	99.6%	(/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))
✓	accuracy	99.4%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))))))
✓	accuracy	99.2%	(PI.f64)
✓	accuracy	97.7%	#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))))
✓	accuracy	99.7%	(log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
✓	accuracy	99.6%	(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)
✓	accuracy	99.5%	(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
✓	accuracy	99.2%	(PI.f64)

Samples

290.0ms	239×	1	valid
126.0ms	2×	5	exit
16.0ms	1×	4	valid
5.0ms	14×	0	valid

Compiler

Compiled 478 to 46 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 365.0ms

ival-sinh: 86.0ms (23.6% of total)

ival-log: 64.0ms (17.6% of total)

ival-mult: 45.0ms (12.3% of total)

ival-div: 45.0ms (12.3% of total)

ival-exp: 40.0ms (11% of total)

ival-neg: 35.0ms (9.6% of total)

ival-cosh: 22.0ms (6% of total)

adjust: 11.0ms (3% of total)

ival-tanh: 6.0ms (1.6% of total)

ival-pow2: 4.0ms (1.1% of total)

ival-sub: 2.0ms (0.5% of total)

ival-pi: 2.0ms (0.5% of total)

ival-add: 2.0ms (0.5% of total)

exact: 1.0ms (0.3% of total)

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

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

series275.0ms (1.5%)

Memory

-7.3MiB live, 497.6MiB allocated

Counts

23 → 252

Calls

Call 1

Inputs
#<alt (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))>
#<alt (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))>
#<alt (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))>
#<alt (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))>
#<alt (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))>
#<alt (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))))))>
#<alt (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))>
#<alt (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))>
#<alt (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))>
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#<alt (+ (* -1/4 (/ (PI) (+ (log f) (log (* 1/4 (PI)))))) (* f (+ (* 1/2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (+ (log f) (log (* 1/4 (PI)))) 2))) (* f (+ (* 1/4 (* f (+ (* -2 (/ (* (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (* (PI) (pow (+ (log f) (log (* 1/4 (PI)))) 3)))) (* 1/2 (/ (* (PI) (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (pow (+ (log f) (log (* 1/4 (PI)))) 2)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* (PI) (+ (log f) (log (* 1/4 (PI))))))) (+ (* -1 (/ (* (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (+ (log f) (log (* 1/4 (PI)))) 3))) (* 1/6 (/ (* (PI) (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (pow (+ (log f) (log (* 1/4 (PI)))) 2))))))) (* 1/4 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (* (PI) (pow (+ (log f) (log (* 1/4 (PI)))) 3)))) (* 1/2 (/ (* (PI) (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (pow (+ (log f) (log (* 1/4 (PI)))) 2))))))))))>
#<alt (* -1/4 (/ (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* -1/4 (/ (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* -1/4 (/ (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* -1/4 (/ (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* -1/4 (/ (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* -1/4 (/ (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* -1/4 (/ (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* -1/4 (/ (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>

Calls

63 calls:

Time	Variable		Point	Expression
68.0ms	f	@	-inf	(/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) 1/4))
63.0ms	f	@	-inf	(/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) -1/4))
29.0ms	f	@	inf	(log (/ 1 (tanh (* (* (PI) 1/4) f))))
28.0ms	f	@	inf	(/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) 1/4))
26.0ms	f	@	-inf	(log (/ 1 (tanh (* (* (PI) 1/4) f))))

simplify445.0ms (2.4%)

Memory

-2.2MiB live, 743.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 582×	`lower-fma.f64`
11 582×	`lower-fma.f32`
6 386×	`lower-*.f64`
6 386×	`lower-*.f32`
3 020×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	565	11723
1	1874	9839
0	8520	9420

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

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

rewrite343.0ms (1.8%)

Memory

15.6MiB live, 533.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 866×	`lower-/.f32`
3 850×	`lower-/.f64`
3 152×	`lower-*.f32`
3 136×	`lower-*.f64`
1 896×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	359
0	77	250
1	280	234
2	1682	226
0	8619	226

Stop Event

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

Counts

23 → 1 487

Calls

Call 1

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

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

eval550.0ms (2.9%)

Memory: 34.5MiB live, 1 027.1MiB allocated
Compiler: Compiled 91 981 to 8 201 computations (91.1% saved)

prune312.0ms (1.7%)

Memory

-4.7MiB live, 777.2MiB allocated

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	3 024	18	3 042
Fresh	11	2	13
Picked	4	1	5
Done	0	0	0
Total	3 039	21	3 060

Accuracy

100.0%

Counts

3 060 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) #s(literal -4 binary64)))) (.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (PI.f64)))
	8.9%	(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
▶	99.3%	(/.f64 (log.f64 (tanh.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) f)))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
	98.7%	(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)))
	98.2%	(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
✓	99.3%	(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
▶	96.5%	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
▶	96.4%	(/.f64 #s(approx (log (tanh (* (* (PI) 1/4) f))) (+.f64 (log.f64 f) (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
	96.3%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))))
	96.4%	(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
	98.9%	(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) #s(literal 2 binary64)))
	99.0%	(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal -1/4 binary64) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))))
	96.4%	(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (PI.f64)))))
	99.0%	(neg.f64 (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
	99.1%	(neg.f64 (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
	95.0%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
	97.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
	96.4%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))))))))
	98.6%	(neg.f64 (.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
▶	95.8%	(neg.f64 (.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
	98.0%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))))

Compiler

Compiled 722 to 542 computations (24.9% saved)

simplify180.0ms (1%)

Memory

5.4MiB live, 275.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	64	(-.f64 (.f64 #s(literal 0 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.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 (PI.f64) #s(literal -1/4 binary64)) (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.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 (PI.f64) #s(literal -1/4 binary64)) (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) #s(literal -4 binary64)))) (.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (PI.f64)))
✓	cost-diff	0	(log.f64 f)
✓	cost-diff	0	(+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))
✓	cost-diff	0	#s(approx (log (tanh (* (* (PI) 1/4) f))) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
✓	cost-diff	0	(/.f64 #s(approx (log (tanh (* (* (PI) 1/4) f))) (+.f64 (log.f64 f) (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
✓	cost-diff	0	(.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))))))
✓	cost-diff	128	(neg.f64 (.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
✓	cost-diff	320	(/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))
✓	cost-diff	2304	(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
✓	cost-diff	0	(.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))
✓	cost-diff	0	#s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64))))
✓	cost-diff	0	(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))))
✓	cost-diff	0	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
✓	cost-diff	0	(tanh.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) f)))
✓	cost-diff	0	(log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) f))))
✓	cost-diff	0	(/.f64 (log.f64 (tanh.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) f)))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
✓	cost-diff	1088	(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) f))

Rules

3 738×	`lower-*.f32`
3 710×	`lower-*.f64`
3 388×	`lower-/.f32`
3 370×	`lower-/.f64`
1 660×	`lower-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	475
0	100	469
1	234	432
2	591	417
3	1976	405
4	5501	405
0	8416	405

Stop Event

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

Calls

Call 1

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

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

localize345.0ms (1.8%)

Memory

9.5MiB live, 681.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))
✓	accuracy	99.6%	(.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))
✓	accuracy	99.5%	(.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal -4 binary64)))
✓	accuracy	99.4%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) #s(literal -4 binary64)))) (.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (PI.f64)))
✓	accuracy	99.7%	(+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))
✓	accuracy	99.5%	(/.f64 #s(approx (log (tanh (* (* (PI) 1/4) f))) (+.f64 (log.f64 f) (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
✓	accuracy	97.5%	(log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))
✓	accuracy	96.9%	#s(approx (log (tanh (* (* (PI) 1/4) f))) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
✓	accuracy	99.4%	(.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))))))
✓	accuracy	98.4%	(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	97.0%	#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))))
✓	accuracy	99.7%	(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))))
✓	accuracy	99.6%	(*.f64 f (PI.f64))
✓	accuracy	99.5%	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
✓	accuracy	97.0%	#s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64))))
✓	accuracy	100.0%	(tanh.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) f)))
✓	accuracy	99.7%	(log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) f))))
✓	accuracy	99.5%	(/.f64 (log.f64 (tanh.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) f)))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
✓	accuracy	99.5%	(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) f))

Samples

224.0ms	239×	1	valid
9.0ms	3×	2	valid
7.0ms	14×	0	valid

Compiler

Compiled 411 to 57 computations (86.1% saved)

Precisions

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

ival-mult: 57.0ms (29.1% of total)

ival-div: 36.0ms (18.4% of total)

ival-log: 36.0ms (18.4% of total)

adjust: 20.0ms (10.2% of total)

ival-exp: 17.0ms (8.7% of total)

ival-tanh: 8.0ms (4.1% of total)

ival-sub: 5.0ms (2.6% of total)

ival-sqrt: 5.0ms (2.6% of total)

ival-add: 5.0ms (2.6% of total)

ival-neg: 4.0ms (2% of total)

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

exact: 1.0ms (0.5% of total)

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

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

series151.0ms (0.8%)

Memory

-5.8MiB live, 186.6MiB allocated

Counts

26 → 264

Calls

Call 1

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

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

Calls

66 calls:

Time	Variable		Point	Expression
97.0ms	f	@	-inf	(+ (log f) (log (* 1/4 (PI))))
31.0ms	f	@	0	(+ (log f) (log (* 1/4 (PI))))
7.0ms	f	@	inf	(+ (log f) (log (* 1/4 (PI))))
1.0ms	f	@	0	(* (* (PI) -1/4) (* (log (tanh (* (PI) (* 1/4 f)))) -4))
1.0ms	f	@	0	(- (* 0 (PI)) (* (* (PI) -1/4) (* (log (tanh (* (PI) (* 1/4 f)))) -4)))

simplify310.0ms (1.6%)

Memory

38.6MiB live, 470.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 690×	`lower-fma.f64`
8 690×	`lower-fma.f32`
4 138×	`lower-*.f64`
4 138×	`lower-*.f32`
2 274×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	318	7780
1	1005	6811
2	4379	6001
0	8680	5826

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 4 (/ (+ (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))))))
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(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
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(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
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(* 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))))))))
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(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
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(/.f64 (+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))))
(* 1/4 (* f (PI)))
(.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))
(* 1/4 (* f (PI)))
(.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))
(* 1/4 (* f (PI)))
(.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))
(* 1/4 (* f (PI)))
(.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))
(* 1/4 (* f (PI)))
(.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))
(* 1/4 (* f (PI)))
(.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))
(* 1/4 (* f (PI)))
(.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))
(* 1/4 (* f (PI)))
(.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))
(* 1/4 (* f (PI)))
(.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))
(* 1/4 (* f (PI)))
(.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))
(* 1/4 (* f (PI)))
(.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))
(* 1/4 (* f (PI)))
(.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))
(+ (log f) (log (* 1/4 (PI))))
(+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(+ (log f) (+ (log (* 1/4 (PI))) (* 2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI)))))
(+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(+ (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)))))))
(fma.f64 f (fma.f64 f (fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (PI.f64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(+ (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)))))))))))
(fma.f64 f (fma.f64 f (fma.f64 (fma.f64 #s(literal 24 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (PI.f64) (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64)))) (.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/3072 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal 1/1024 binary64)))) (.f64 (.f64 (PI.f64) (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64)))) (.f64 (PI.f64) #s(literal 1/8 binary64)))) (PI.f64)) #s(literal 0 binary64)) (.f64 f #s(literal 1/6 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (PI.f64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (+.f64 (log.f64 f) (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64)))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64)))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64)))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64)))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64)))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64)))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64)))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64)))))))

rewrite273.0ms (1.4%)

Memory

-1.3MiB live, 384.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 900×	`lower-*.f32`
3 872×	`lower-*.f64`
3 744×	`lower-/.f32`
3 726×	`lower-/.f64`
3 442×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	62	354
0	100	270
1	376	246
2	2306	245
0	8144	245

Stop Event

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

Counts

26 → 868

Calls

Call 1

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

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

eval226.0ms (1.2%)

Memory: -14.9MiB live, 285.7MiB allocated
Compiler: Compiled 26 325 to 3 111 computations (88.2% saved)

prune144.0ms (0.8%)

Memory

-2.3MiB live, 317.6MiB allocated

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	1 146	13	1 159
Fresh	10	5	15
Picked	3	2	5
Done	0	1	1
Total	1 159	21	1 180

Accuracy

100.0%

Counts

1 180 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.7%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64))))))))) (.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (PI.f64)))
	8.9%	(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f))))) (log1p.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
	96.3%	(/.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))))))) (sqrt.f64 (PI.f64)))
✓	99.3%	(/.f64 (log.f64 (tanh.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) f)))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
	98.7%	(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)))
✓	99.3%	(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
▶	97.1%	(/.f64 (log.f64 #s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 f (fma.f64 (fma.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (.f64 f f) (.f64 #s(literal 1/4 binary64) (PI.f64)))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
▶	96.5%	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (.f64 (.f64 f #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
✓	96.5%	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
	96.3%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))))))
	96.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64))))) (PI.f64))))
	96.3%	(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))))))))
	96.2%	(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (neg.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 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64))))))) (neg.f64 (sqrt.f64 (PI.f64))))))
▶	96.4%	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64))))))
	96.4%	(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
▶	99.1%	(neg.f64 (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
	97.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
	95.0%	(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 (PI.f64))))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
▶	96.5%	(neg.f64 (.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 #s(literal 2 binary64) (.f64 #s(literal -1/192 binary64) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/16 binary64) (.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) f)))))
	95.8%	(neg.f64 (.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ 2 (* f (* (PI) 1/2))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))))
	98.0%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))))

Compiler

Compiled 770 to 544 computations (29.4% saved)

simplify297.0ms (1.6%)

Memory

-1.8MiB live, 359.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	320	(.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 2 binary64)))
✓	cost-diff	320	(.f64 #s(literal -1/192 binary64) (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 2 binary64))))
✓	cost-diff	704	(fma.f64 #s(literal 2 binary64) (.f64 #s(literal -1/192 binary64) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/16 binary64) (*.f64 (PI.f64) #s(literal 2 binary64))))
✓	cost-diff	2304	(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
✓	cost-diff	0	(log.f64 #s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 f (fma.f64 (fma.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
✓	cost-diff	0	(/.f64 (log.f64 #s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 f (fma.f64 (fma.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (.f64 f f) (.f64 #s(literal 1/4 binary64) (PI.f64)))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
✓	cost-diff	320	(fma.f64 (fma.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (.f64 f f) (.f64 #s(literal 1/4 binary64) (PI.f64)))
✓	cost-diff	1344	(fma.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64)))
✓	cost-diff	0	#s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (.f64 (*.f64 f #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
✓	cost-diff	0	(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (.f64 (*.f64 f #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))
✓	cost-diff	0	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (.f64 (.f64 f #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
✓	cost-diff	1600	(.f64 (.f64 (*.f64 f #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
✓	cost-diff	0	(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 f #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 ( (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64))))))
✓	cost-diff	0	(/.f64 #s(literal 4 binary64) (PI.f64))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
✓	cost-diff	128	(neg.f64 (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
✓	cost-diff	576	(log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))

Rules

6 992×	`lower-fma.f32`
6 984×	`lower-fma.f64`
4 908×	`lower-*.f32`
4 860×	`lower-*.f64`
1 816×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	794
0	130	719
1	287	643
2	720	573
3	1975	481
4	4336	481
5	7206	481
0	8160	481

Stop Event

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

Calls

Call 1

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

Outputs
(neg.f64 (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(/.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(neg.f64 (log.f64 (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
(/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))
#s(literal 1 binary64)
(tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(tanh.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))
(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
f
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64))))))
(/.f64 (log.f64 #s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (*.f64 (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 (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))))
(log.f64 #s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))
#s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64))))
#s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))
(.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))
(.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))
(*.f64 f #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) f)
f
#s(literal 1/4 binary64)
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (.f64 (.f64 f #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (.f64 (*.f64 f #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))
(log.f64 #s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))
#s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (.f64 (*.f64 f #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
#s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))
(.f64 (.f64 (*.f64 f #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))
(.f64 (.f64 f #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64)))
(.f64 #s(literal 1/4 binary64) (.f64 f (sqrt.f64 (PI.f64))))
(*.f64 f #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) f)
f
#s(literal 1/4 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(/.f64 (log.f64 #s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 f (fma.f64 (fma.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (.f64 f f) (.f64 #s(literal 1/4 binary64) (PI.f64)))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 f (.f64 (PI.f64) (fma.f64 (.f64 f f) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/192 binary64))) #s(literal 1/4 binary64)))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 #s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 f (fma.f64 (fma.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(log.f64 #s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 f (.f64 (PI.f64) (fma.f64 (.f64 f f) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/192 binary64))) #s(literal 1/4 binary64))))))
#s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 f (fma.f64 (fma.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
#s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 f (.f64 (PI.f64) (fma.f64 (.f64 f f) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/192 binary64))) #s(literal 1/4 binary64)))))
(.f64 f (fma.f64 (fma.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(.f64 f (.f64 (PI.f64) (fma.f64 (.f64 f f) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/192 binary64))) #s(literal 1/4 binary64))))
f
(fma.f64 (fma.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (.f64 f f) (.f64 #s(literal 1/4 binary64) (PI.f64)))
(.f64 (PI.f64) (fma.f64 (.f64 f f) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/192 binary64))) #s(literal 1/4 binary64)))
(fma.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64)))
(.f64 (PI.f64) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/192 binary64))))
(.f64 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)))
(.f64 (PI.f64) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/32 binary64))))
(PI.f64)
(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))
(.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/32 binary64)))
(*.f64 (PI.f64) (PI.f64))
#s(literal -1/32 binary64)
#s(literal -1/8 binary64)
(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))
(.f64 (PI.f64) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -7/768 binary64))))
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
#s(literal -7/768 binary64)
(*.f64 f f)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(neg.f64 (.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 #s(literal 2 binary64) (.f64 #s(literal -1/192 binary64) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/16 binary64) (.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) f)))))
(.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 #s(literal 2 binary64) (.f64 #s(literal -1/192 binary64) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/16 binary64) (.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) f))))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 4 binary64) (PI.f64))
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(/.f64 #s(literal 1 binary64) (sqrt.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 (fma.f64 f (.f64 f (fma.f64 #s(literal 2 binary64) (.f64 #s(literal -1/192 binary64) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/16 binary64) (.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) f)))
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 #s(literal 2 binary64) (.f64 #s(literal -1/192 binary64) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/16 binary64) (.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) f))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(/.f64 (fma.f64 f (.f64 f (fma.f64 #s(literal 2 binary64) (.f64 #s(literal -1/192 binary64) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/16 binary64) (.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) f)
(/.f64 (fma.f64 f (.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(fma.f64 f (.f64 f (fma.f64 #s(literal 2 binary64) (.f64 #s(literal -1/192 binary64) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/16 binary64) (.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 f (.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
f
(.f64 f (fma.f64 #s(literal 2 binary64) (.f64 #s(literal -1/192 binary64) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/16 binary64) (.f64 (PI.f64) #s(literal 2 binary64)))))
(.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal -1/192 binary64) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/16 binary64) (*.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (PI.f64) #s(literal 1/12 binary64))
#s(literal 2 binary64)
(.f64 #s(literal -1/192 binary64) (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (PI.f64) #s(literal -1/48 binary64))
#s(literal -1/192 binary64)
(.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 2 binary64))
(.f64 #s(literal 1/16 binary64) (.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (PI.f64) #s(literal 1/8 binary64))
#s(literal 1/16 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)

localize854.0ms (4.5%)

Memory

33.7MiB live, 698.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.4%	(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
✓	accuracy	98.4%	(.f64 #s(literal -1/192 binary64) (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 2 binary64))))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	97.8%	#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 #s(literal 2 binary64) (.f64 #s(literal -1/192 binary64) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/16 binary64) (.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) f))
✓	accuracy	98.4%	(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))
✓	accuracy	98.4%	(.f64 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)))
✓	accuracy	98.4%	(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
✓	accuracy	97.5%	#s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 f (fma.f64 (fma.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
✓	accuracy	99.5%	(.f64 (.f64 f #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64)))
✓	accuracy	99.5%	(.f64 (.f64 (*.f64 f #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	97.0%	#s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (.f64 (*.f64 f #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
✓	accuracy	99.7%	(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))))
✓	accuracy	99.6%	(.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))
✓	accuracy	99.4%	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64))))))
✓	accuracy	97.0%	#s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64))))
✓	accuracy	99.7%	(log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
✓	accuracy	99.6%	(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
✓	accuracy	99.4%	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))

Samples

543.0ms	239×	1	valid
10.0ms	3×	2	valid
8.0ms	14×	0	valid

Compiler

Compiled 577 to 73 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 363.0ms

ival-mult: 154.0ms (42.4% of total)

ival-div: 59.0ms (16.3% of total)

adjust: 54.0ms (14.9% of total)

ival-log: 26.0ms (7.2% of total)

ival-exp: 25.0ms (6.9% of total)

const: 12.0ms (3.3% of total)

ival-add: 11.0ms (3% of total)

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

ival-tanh: 5.0ms (1.4% of total)

ival-sqrt: 4.0ms (1.1% of total)

ival-pi: 3.0ms (0.8% of total)

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

exact: 1.0ms (0.3% of total)

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

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

series34.0ms (0.2%)

Memory

-18.1MiB live, 20.3MiB allocated

Counts

30 → 228

Calls

Call 1

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

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

Calls

57 calls:

Time	Variable		Point	Expression
20.0ms	f	@	-inf	(log (tanh (* (* (PI) 1/4) f)))
1.0ms	f	@	0	(* (* f 1/4) (sqrt (PI)))
1.0ms	f	@	0	(+ (* (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (* (* (PI) (* (PI) (PI))) -7/768)) (* f f)) (* 1/4 (PI)))
1.0ms	f	@	inf	(+ (* (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (* (* (PI) (* (PI) (PI))) -7/768)) (* f f)) (* 1/4 (PI)))
0.0ms	f	@	inf	(* (* f 1/4) (sqrt (PI)))

simplify817.0ms (4.3%)

Memory

-103.8MiB live, 493.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 952×	`lower-fma.f64`
11 952×	`lower-fma.f32`
4 166×	`lower-*.f64`
4 166×	`lower-*.f32`
3 646×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	330	7760
1	1038	6684
2	4325	5591
0	9298	5410

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

rewrite462.0ms (2.5%)

Memory

15.9MiB live, 329.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 238×	`lower-*.f32`
5 192×	`lower-*.f64`
2 892×	`lower-fma.f32`
2 884×	`lower-fma.f64`
2 704×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	427
0	124	349
1	439	322
2	3042	322
0	8232	317

Stop Event

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

Counts

30 → 763

Calls

Call 1

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

Outputs
(log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))
(+.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))))
(+.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64))))) (neg.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))))
(+.f64 (neg.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))) (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64))))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))))
(+.f64 (log.f64 (.f64 #s(literal -2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
(+.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f))) (exp.f64 (.f64 (.f64 #s(literal -2 binary64) (PI.f64)) (.f64 #s(literal 1/4 binary64) f)))))) (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))))
(+.f64 (log.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))) #s(literal -1/2 binary64))))
(+.f64 (log.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))))) (neg.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f))))) (log1p.f64 (exp.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 #s(literal -2 binary64) (PI.f64)) (.f64 #s(literal 1/4 binary64) f)))))) (log1p.f64 (exp.f64 (.f64 (.f64 #s(literal -2 binary64) (PI.f64)) (.f64 #s(literal 1/4 binary64) f)))))
(+.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 f #s(literal 3 binary64)))) (exp.f64 (.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)) #s(literal 3 binary64)))))) (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 #s(literal -2 binary64) (PI.f64)) (.f64 #s(literal 1/4 binary64) f)))) (exp.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f))))))
(-.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))
(-.f64 #s(literal 0 binary64) (log.f64 (neg.f64 (neg.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))))
(-.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64))))) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))))
(-.f64 (log.f64 (.f64 #s(literal -2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64))))) (log.f64 (.f64 #s(literal -2 binary64) (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))))
(-.f64 (log.f64 (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (log.f64 (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))
(-.f64 (log.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/4 binary64)))))) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(-.f64 (log.f64 (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f))) (exp.f64 (.f64 (.f64 #s(literal -2 binary64) (PI.f64)) (.f64 #s(literal 1/4 binary64) f))))) (log.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) #s(literal 2 binary64))))
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(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))
(.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) f)))
(.f64 (.f64 f #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
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(.f64 (.f64 f #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1 binary64)))
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(.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
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(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) f) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
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(log.f64 (exp.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))
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(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) #s(literal -1 binary64)))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal -2 binary64) f))
(/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (/.f64 #s(literal 2 binary64) f))
(/.f64 (neg.f64 (*.f64 (PI.f64) f)) #s(literal -4 binary64))
(/.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) f))
(/.f64 (*.f64 f #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))
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(pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)) #s(literal -1 binary64))
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(*.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))
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(.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))
(*.f64 #s(literal 1/4 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) f)))
(.f64 #s(literal 1/4 binary64) (log.f64 (exp.f64 (.f64 (PI.f64) f))))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) f) (PI.f64)) #s(literal -1 binary64)))
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(.f64 (.f64 #s(literal 1/4 binary64) f) (PI.f64))
(.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) (*.f64 f (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (*.f64 f (sqrt.f64 (PI.f64)))))))
(.f64 (.f64 #s(literal 1/4 binary64) (*.f64 f (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 #s(literal 1/4 binary64) (*.f64 f (sqrt.f64 (PI.f64)))) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 2 binary64) f)))
(.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) f) (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 f #s(literal 1/2 binary64)))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))
(.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) f)))
(.f64 (.f64 f #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(.f64 (.f64 f #s(literal 1/2 binary64)) (log.f64 (exp.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(.f64 (.f64 f #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1 binary64)))
(.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))
(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 f #s(literal 1/2 binary64)))
(.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 f #s(literal 1/2 binary64)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) f) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) #s(literal 1 binary64)) (PI.f64))
(.f64 (.f64 (*.f64 #s(literal 1/4 binary64) f) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (neg.f64 f))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) f) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal -1 binary64))))
(fabs.f64 (sqrt.f64 (PI.f64)))
(fabs.f64 (neg.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))
(/.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal -1 binary64))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(.f64 #s(literal 1/4 binary64) (.f64 f (sqrt.f64 (PI.f64))))
(.f64 f (.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))))
(.f64 (.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1/4 binary64) f))
(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) f)
(.f64 (.f64 (sqrt.f64 (PI.f64)) f) #s(literal 1/4 binary64))
#s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 f (fma.f64 (.f64 (PI.f64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -7/768 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)))) (.f64 f f) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 (*.f64 (PI.f64) (PI.f64)))))
(exp.f64 (fma.f64 (log.f64 (PI.f64)) #s(literal 2 binary64) (log.f64 (PI.f64))))
(exp.f64 (+.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) (log.f64 (PI.f64))))
(cbrt.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64))
(pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))))
(.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))
(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))
(.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (sqrt.f64 (PI.f64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -1/32 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))))
(.f64 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))))
(.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal -1/32 binary64)))
(.f64 #s(literal -1/32 binary64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (PI.f64))
(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))))
(.f64 (.f64 (PI.f64) #s(literal -1/32 binary64)) (*.f64 (PI.f64) (PI.f64)))
(.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal 1 binary64)) (PI.f64))
(.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64)))
(.f64 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -7/768 binary64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -7/768 binary64))))
(.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal -7/768 binary64)))
(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))
(.f64 #s(literal -7/768 binary64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -7/768 binary64))))
(.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -7/768 binary64)) (PI.f64))
(.f64 (.f64 #s(literal -7/768 binary64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 f f) (fma.f64 #s(literal 2 binary64) (.f64 #s(literal -1/48 binary64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))

eval653.0ms (3.5%)

Memory: -17.3MiB live, 606.5MiB allocated
Compiler: Compiled 63 230 to 8 785 computations (86.1% saved)

prune265.0ms (1.4%)

Memory

17.7MiB live, 625.3MiB allocated

Pruning

26 alts after pruning (20 fresh and 6 done)

	Pruned	Kept	Total
New	2 101	15	2 116
Fresh	8	5	13
Picked	2	3	5
Done	0	3	3
Total	2 111	26	2 137

Accuracy

100.0%

Counts

2 137 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.9%	(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f))))) (log1p.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
	96.3%	(/.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 #s(approx (tanh (/ ( (PI) 1/2) (/ 2 f))) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (sqrt.f64 (PI.f64)))
✓	99.3%	(/.f64 (log.f64 (tanh.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) f)))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
	98.7%	(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)))
✓	99.3%	(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
	97.1%	(/.f64 (log.f64 #s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 f #s(approx (+ ( (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (* (* (PI) (* (PI) (PI))) -7/768)) (* f f)) (* 1/4 (PI))) (fma.f64 f (.f64 f (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64)))) (.f64 (PI.f64) #s(literal 1/4 binary64))))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
	50.4%	(/.f64 (log.f64 #s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 f #s(approx (+ ( (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (* (* (PI) (* (PI) (PI))) -7/768)) (* f f)) (* 1/4 (PI))) (.f64 (.f64 f f) (.f64 (PI.f64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 f f))))))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
✓	96.5%	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (.f64 (.f64 f #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
✓	96.5%	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
	96.3%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh (/ ( (PI) 1/2) (/ 2 f))) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))))
	96.9%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh (/ ( (PI) 1/2) (/ 2 f))) (.f64 f (fma.f64 (.f64 (PI.f64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -7/768 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)))) (.f64 f f) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))))
	96.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (PI.f64))))
	95.0%	(.f64 (/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64))))))
	96.2%	(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(approx (tanh (/ ( (PI) 1/2) (/ 2 f))) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (sqrt.f64 (PI.f64))))
	99.1%	(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))))
	96.3%	(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (log.f64 #s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))))
	96.9%	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (/ ( (PI) 1/2) (/ 2 f))) (.f64 f (fma.f64 (.f64 (PI.f64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -7/768 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)))) (.f64 f f) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))
✓	96.4%	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64))))))
	96.4%	(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
	95.8%	(.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64))))))
	96.9%	(.f64 (.f64 (log.f64 #s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 f (fma.f64 (.f64 (PI.f64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -7/768 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)))) (.f64 f f) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
✓	99.1%	(neg.f64 (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
	97.1%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
	96.5%	(neg.f64 (.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 f f) (fma.f64 #s(literal 2 binary64) (.f64 #s(literal -1/48 binary64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
	96.5%	(neg.f64 (.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/96 binary64) (.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))) f)))))
	98.0%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))))

Compiler

Compiled 1 913 to 683 computations (64.3% saved)

regimes164.0ms (0.9%)

Memory

6.3MiB live, 246.9MiB allocated

Counts

65 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64))))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh (/ ( (PI) 1/2) (/ 2 f))) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64))))) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (PI.f64)))))
(.f64 (/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64))))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (.f64 (.f64 f #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 f #s(approx (+ ( (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (* (* (PI) (* (PI) (PI))) -7/768)) (* f f)) (* 1/4 (PI))) (fma.f64 f (.f64 f (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64)))) (.f64 (PI.f64) #s(literal 1/4 binary64))))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(approx (tanh (/ ( (PI) 1/2) (/ 2 f))) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 #s(approx (tanh (/ ( (PI) 1/2) (/ 2 f))) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64))))))
(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (log.f64 #s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (/ ( (PI) 1/2) (/ 2 f))) (.f64 f (fma.f64 (.f64 (PI.f64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -7/768 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)))) (.f64 f f) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))
(/.f64 (log.f64 #s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 f #s(approx (+ ( (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (* (* (PI) (* (PI) (PI))) -7/768)) (* f f)) (* 1/4 (PI))) (.f64 (.f64 f f) (.f64 (PI.f64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 f f))))))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ 2 (* f (* (PI) 1/2))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))))
(/.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))))))) (sqrt.f64 (PI.f64)))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 (PI.f64))))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(/.f64 (log.f64 #s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 f (fma.f64 (fma.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (.f64 f f) (.f64 #s(literal 1/4 binary64) (PI.f64)))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (neg.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 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64))))))) (neg.f64 (sqrt.f64 (PI.f64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh (/ ( (PI) 1/2) (/ 2 f))) (.f64 f (fma.f64 (.f64 (PI.f64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -7/768 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)))) (.f64 f f) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))))
(neg.f64 (.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(.f64 (.f64 (log.f64 #s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 f (fma.f64 (.f64 (PI.f64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -7/768 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)))) (.f64 f f) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(neg.f64 (.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 f f) (fma.f64 #s(literal 2 binary64) (.f64 #s(literal -1/48 binary64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/96 binary64) (.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))) f)))))
(neg.f64 (.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 #s(literal 2 binary64) (.f64 #s(literal -1/192 binary64) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/16 binary64) (.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) f)))))
(/.f64 #s(approx (log (tanh (* (* (PI) 1/4) f))) (+.f64 (log.f64 f) (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (.f64 #s(literal -4 binary64) (-.f64 (neg.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f))) (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 #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)))))
(neg.f64 (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(/.f64 (log.f64 (tanh.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) f)))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal -1/4 binary64) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) #s(literal -4 binary64)))) (.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (PI.f64)))
(neg.f64 (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
(neg.f64 (/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64))))))))) (.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (PI.f64)))
(neg.f64 (.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 #s(literal 1 binary64) (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 (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (-.f64 (neg.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)) (.f64 f (.f64 (.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal -2 binary64) (PI.f64))))))
(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) #s(literal 2 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sinh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))))
(.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f))))) (log1p.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(-.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (.f64 (PI.f64) #s(literal -1/4 binary64))))
(.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (/.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(/.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)))
(.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))))
(neg.f64 (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64))) #s(literal 4 binary64)) (.f64 (+.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (+.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))) (PI.f64))))
(neg.f64 (/.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (-.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64)))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (+.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))))

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

Calls

6 calls:

74.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
21.0ms	(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))))))))
19.0ms	(.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)))))))
18.0ms	f
15.0ms	(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
99.3%	1	`f`
99.3%	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))))))))`
99.3%	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)))))))`
99.3%	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))))))`
99.3%	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)))))`
99.3%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`

Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes64.0ms (0.3%)

Memory

3.6MiB live, 162.6MiB allocated

Counts

39 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64))))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh (/ ( (PI) 1/2) (/ 2 f))) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64))))) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (PI.f64)))))
(.f64 (/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64))))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (.f64 (.f64 f #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 f #s(approx (+ ( (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (* (* (PI) (* (PI) (PI))) -7/768)) (* f f)) (* 1/4 (PI))) (fma.f64 f (.f64 f (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64)))) (.f64 (PI.f64) #s(literal 1/4 binary64))))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(approx (tanh (/ ( (PI) 1/2) (/ 2 f))) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 #s(approx (tanh (/ ( (PI) 1/2) (/ 2 f))) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64))))))
(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (log.f64 #s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (/ ( (PI) 1/2) (/ 2 f))) (.f64 f (fma.f64 (.f64 (PI.f64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -7/768 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)))) (.f64 f f) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))
(/.f64 (log.f64 #s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 f #s(approx (+ ( (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (* (* (PI) (* (PI) (PI))) -7/768)) (* f f)) (* 1/4 (PI))) (.f64 (.f64 f f) (.f64 (PI.f64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 f f))))))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ 2 (* f (* (PI) 1/2))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))))
(/.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))))))) (sqrt.f64 (PI.f64)))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 (PI.f64))))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(/.f64 (log.f64 #s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 f (fma.f64 (fma.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (.f64 f f) (.f64 #s(literal 1/4 binary64) (PI.f64)))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (neg.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 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64))))))) (neg.f64 (sqrt.f64 (PI.f64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh (/ ( (PI) 1/2) (/ 2 f))) (.f64 f (fma.f64 (.f64 (PI.f64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -7/768 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)))) (.f64 f f) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))))
(neg.f64 (.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(.f64 (.f64 (log.f64 #s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 f (fma.f64 (.f64 (PI.f64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -7/768 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)))) (.f64 f f) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(neg.f64 (.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 f f) (fma.f64 #s(literal 2 binary64) (.f64 #s(literal -1/48 binary64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/96 binary64) (.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))) f)))))
(neg.f64 (.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 #s(literal 2 binary64) (.f64 #s(literal -1/192 binary64) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/16 binary64) (.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) f)))))
(/.f64 #s(approx (log (tanh (* (* (PI) 1/4) f))) (+.f64 (log.f64 f) (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (.f64 #s(literal -4 binary64) (-.f64 (neg.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f))) (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 #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)))))
(neg.f64 (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))

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

Calls

6 calls:

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	f
10.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
10.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
9.0ms	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))

Results

Accuracy	Segments	Branch
99.3%	1	`f`
99.3%	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))))))))`
99.3%	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)))))))`
99.3%	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))))))`
99.3%	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)))))`
99.3%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`

Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes58.0ms (0.3%)

Memory

-37.9MiB live, 160.5MiB allocated

Counts

36 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64))))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh (/ ( (PI) 1/2) (/ 2 f))) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64))))) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (PI.f64)))))
(.f64 (/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64))))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (.f64 (.f64 f #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 f #s(approx (+ ( (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (* (* (PI) (* (PI) (PI))) -7/768)) (* f f)) (* 1/4 (PI))) (fma.f64 f (.f64 f (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64)))) (.f64 (PI.f64) #s(literal 1/4 binary64))))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(approx (tanh (/ ( (PI) 1/2) (/ 2 f))) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 #s(approx (tanh (/ ( (PI) 1/2) (/ 2 f))) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64))))))
(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (log.f64 #s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (/ ( (PI) 1/2) (/ 2 f))) (.f64 f (fma.f64 (.f64 (PI.f64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -7/768 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)))) (.f64 f f) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))
(/.f64 (log.f64 #s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 f #s(approx (+ ( (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (* (* (PI) (* (PI) (PI))) -7/768)) (* f f)) (* 1/4 (PI))) (.f64 (.f64 f f) (.f64 (PI.f64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 f f))))))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ 2 (* f (* (PI) 1/2))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))))
(/.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))))))) (sqrt.f64 (PI.f64)))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 (PI.f64))))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(/.f64 (log.f64 #s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 f (fma.f64 (fma.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (.f64 f f) (.f64 #s(literal 1/4 binary64) (PI.f64)))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (neg.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 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64))))))) (neg.f64 (sqrt.f64 (PI.f64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh (/ ( (PI) 1/2) (/ 2 f))) (.f64 f (fma.f64 (.f64 (PI.f64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -7/768 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)))) (.f64 f f) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))))
(neg.f64 (.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(.f64 (.f64 (log.f64 #s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 f (fma.f64 (.f64 (PI.f64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -7/768 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)))) (.f64 f f) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(neg.f64 (.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (.f64 f f) (fma.f64 #s(literal 2 binary64) (.f64 #s(literal -1/48 binary64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/96 binary64) (.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))) f)))))
(neg.f64 (.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 #s(literal 2 binary64) (.f64 #s(literal -1/192 binary64) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 #s(literal 1/16 binary64) (.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) f)))))
(/.f64 #s(approx (log (tanh (* (* (PI) 1/4) f))) (+.f64 (log.f64 f) (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (.f64 #s(literal -4 binary64) (-.f64 (neg.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f))) (PI.f64)))

Outputs

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

Calls

6 calls:

10.0ms	(/.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
8.0ms	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
8.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (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 144 to 60 computations (58.3% saved)

regimes48.0ms (0.3%)

Memory

9.6MiB live, 129.3MiB allocated

Counts

29 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64))))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh (/ ( (PI) 1/2) (/ 2 f))) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64))))) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (PI.f64)))))
(.f64 (/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64))))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (.f64 (.f64 f #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 f #s(approx (+ ( (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (* (* (PI) (* (PI) (PI))) -7/768)) (* f f)) (* 1/4 (PI))) (fma.f64 f (.f64 f (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64)))) (.f64 (PI.f64) #s(literal 1/4 binary64))))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(approx (tanh (/ ( (PI) 1/2) (/ 2 f))) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))) (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 #s(approx (tanh (/ ( (PI) 1/2) (/ 2 f))) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64))))))
(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (log.f64 #s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (/ ( (PI) 1/2) (/ 2 f))) (.f64 f (fma.f64 (.f64 (PI.f64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -7/768 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)))) (.f64 f f) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))
(/.f64 (log.f64 #s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 f #s(approx (+ ( (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (* (* (PI) (* (PI) (PI))) -7/768)) (* f f)) (* 1/4 (PI))) (.f64 (.f64 f f) (.f64 (PI.f64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 f f))))))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ 2 (* f (* (PI) 1/2))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))))
(/.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))))))) (sqrt.f64 (PI.f64)))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 (PI.f64))))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(/.f64 (log.f64 #s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 f (fma.f64 (fma.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (.f64 f f) (.f64 #s(literal 1/4 binary64) (PI.f64)))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (neg.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 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64))))))) (neg.f64 (sqrt.f64 (PI.f64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh (/ ( (PI) 1/2) (/ 2 f))) (.f64 f (fma.f64 (.f64 (PI.f64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -7/768 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)))) (.f64 f f) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))))
(neg.f64 (.f64 (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))))))))

Outputs

(/.f64 (log.f64 #s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (*.f64 f #s(approx (+ (* (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (* (* (PI) (* (PI) (PI))) -7/768)) (* f f)) (* 1/4 (PI))) (fma.f64 f (*.f64 f (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))

Calls

6 calls:

9.0ms	f
8.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
8.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
7.0ms	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
7.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))

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 (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)))))`

Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes22.0ms (0.1%)

Memory

26.5MiB live, 65.9MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
96.5%	1	`f`
96.5%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
96.5%	1	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
96.5%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
96.5%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
96.5%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`

Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes24.0ms (0.1%)

Memory

-34.6MiB live, 52.4MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

6 calls:

6.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
5.0ms	f
3.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
3.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
3.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))

Results

Accuracy	Segments	Branch
96.5%	1	`f`
96.5%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
96.5%	1	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
96.5%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
96.5%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
96.5%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`

Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes8.0ms (0%)

Memory

28.2MiB live, 28.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
96.4%	1	`f`
96.4%	1	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
96.4%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
96.4%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
96.4%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
96.4%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`

Compiler

Compiled 144 to 60 computations (58.3% saved)

simplify12.0ms (0.1%)

Memory

-2.8MiB live, 36.3MiB allocated

Algorithm

1×	egg-herbie

Rules

56×	`*-commutative_binary64`
36×	`neg-mul-1_binary64`
22×	`unsub-neg_binary64`
16×	`distribute-rgt-neg-in_binary64`
14×	`+-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	190
1	119	190
2	132	190
3	145	189
4	157	189
5	185	189
6	223	189
7	226	189

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (log.f64 (tanh.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) f)))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(/.f64 (log.f64 #s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 f #s(approx (+ ( (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (* (* (PI) (* (PI) (PI))) -7/768)) (* f f)) (* 1/4 (PI))) (fma.f64 f (.f64 f (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64)))) (.f64 (PI.f64) #s(literal 1/4 binary64))))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (.f64 (.f64 f #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64))))))

Outputs
(/.f64 (log.f64 (tanh.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) f)))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/4 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(.f64 (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (/.f64 #s(literal -1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))))
(/.f64 (log.f64 #s(approx (tanh (/ (* (PI) 1/2) (/ 2 f))) (.f64 f #s(approx (+ ( (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (* (* (PI) (* (PI) (PI))) -7/768)) (* f f)) (* 1/4 (PI))) (fma.f64 f (.f64 f (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64)))) (.f64 (PI.f64) #s(literal 1/4 binary64))))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (.f64 (.f64 f #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 f #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64)))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64))))))

soundness1.2s (6.4%)

Memory

1.1MiB live, 989.2MiB allocated

Rules

18 550×	`lower-fma.f64`
18 550×	`lower-fma.f32`
11 952×	`lower-fma.f64`
11 952×	`lower-fma.f32`
11 582×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	318	7780
1	1005	6811
2	4379	6001
0	8680	5826
0	62	354
0	100	270
1	376	246
2	2306	245
0	8144	245
0	565	11723
1	1874	9839
0	8520	9420
0	47	359
0	77	250
1	280	234
2	1682	226
0	8619	226
0	16	129
0	29	87
1	119	49
2	783	49
0	8561	49
0	330	7760
1	1038	6684
2	4325	5591
0	9298	5410
0	171	1490
1	484	1364
2	1748	1236
3	7034	1196
0	9162	1178

Stop Event

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

Compiler

Compiled 446 to 223 computations (50% saved)

preprocess75.0ms (0.4%)

Memory: 0.4MiB live, 163.5MiB allocated
Compiler: Compiled 296 to 140 computations (52.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze203.0ms (1.1%)

sample6.0s (31.7%)

preprocess509.0ms (2.7%)

explain651.0ms (3.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify311.0ms (1.6%)

localize111.0ms (0.6%)

series121.0ms (0.6%)

simplify466.0ms (2.5%)

rewrite308.0ms (1.6%)

eval276.0ms (1.5%)

prune300.0ms (1.6%)

simplify431.0ms (2.3%)

localize580.0ms (3.1%)

series275.0ms (1.5%)

simplify445.0ms (2.4%)

rewrite343.0ms (1.8%)

eval550.0ms (2.9%)

prune312.0ms (1.7%)

simplify180.0ms (1%)

localize345.0ms (1.8%)

series151.0ms (0.8%)

simplify310.0ms (1.6%)

rewrite273.0ms (1.4%)

eval226.0ms (1.2%)

prune144.0ms (0.8%)

simplify297.0ms (1.6%)

localize854.0ms (4.5%)

series34.0ms (0.2%)

simplify817.0ms (4.3%)

rewrite462.0ms (2.5%)

eval653.0ms (3.5%)

prune265.0ms (1.4%)

regimes164.0ms (0.9%)

regimes64.0ms (0.3%)

regimes58.0ms (0.3%)

regimes48.0ms (0.3%)

regimes22.0ms (0.1%)

regimes24.0ms (0.1%)

regimes8.0ms (0%)

simplify12.0ms (0.1%)

soundness1.2s (6.4%)

preprocess75.0ms (0.4%)

end0.0ms (0%)

Profiling