Metrics for VandenBroeck and Keller, Equation (20)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze186.0ms (1%)

Memory

-12.2MiB live, 222.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 39 to 18 computations (53.8% saved)

sample6.4s (35.6%)

Memory

112.4MiB live, 6 317.2MiB allocated

Samples

2.8s	7 617×	1	valid
2.3s	7 252×	1	invalid
179.0ms	166×	2	valid
53.0ms	473×	0	valid
1.0ms	8×	0	invalid
1.0ms	6×	0	exit

Precisions

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

ival-exp: 1.4s (32.3% of total)

ival-div: 597.0ms (13.7% of total)

ival-mult: 553.0ms (12.7% of total)

ival-pi: 471.0ms (10.8% of total)

adjust: 357.0ms (8.2% of total)

ival-log: 331.0ms (7.6% of total)

ival-neg: 274.0ms (6.3% of total)

ival-add: 184.0ms (4.2% of total)

ival-sub: 151.0ms (3.5% of total)

exact: 16.0ms (0.4% of total)

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

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

Bogosity

explain432.0ms (2.4%)

Memory

8.5MiB live, 647.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
245	0	-	1	(0.014062368458108454)	`(-.f64 (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	0	-	0	-	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
2	7	(84128.7652334371)	0	-	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
1	0	-	1	(94.21787260071872)	`(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))`
1	0	-	1	(94.21787260071872)	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))`
0	0	-	0	-	`#s(literal 4 binary64)`
0	0	-	0	-	`(+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))`
0	0	-	0	-	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
0	0	-	0	-	`f`
0	0	-	0	-	`(/.f64 (PI.f64) #s(literal 4 binary64))`
0	0	-	0	-	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
0	0	-	0	-	`(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`
0	0	-	0	-	`(PI.f64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))`	cancellation	244	1
`log.f64`	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`	sensitivity	9	0
`/.f64`	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`	o/o	7	0
↳	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`	overflow	7
↳	`(+.f64 (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	7
↳	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`	overflow	7
↳	`(-.f64 (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	7

Confusion

	Predicted +	Predicted -
+	253	0
-	0	3

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

0.9960629921259843

Recall?

1.0

Freqs

test

number	freq
0	3
1	246
2	7

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

199.0ms	468×	1	valid
13.0ms	14×	2	valid
4.0ms	30×	0	valid

Compiler

Compiled 434 to 52 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 169.0ms

ival-exp: 84.0ms (49.7% of total)

ival-div: 18.0ms (10.6% of total)

ival-log: 16.0ms (9.5% of total)

ival-mult: 13.0ms (7.7% of total)

adjust: 11.0ms (6.5% of total)

ival-neg: 11.0ms (6.5% of total)

ival-pi: 6.0ms (3.5% of total)

ival-sub: 4.0ms (2.4% of total)

ival-add: 4.0ms (2.4% of total)

exact: 1.0ms (0.6% of total)

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

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

preprocess445.0ms (2.5%)

Memory

8.3MiB live, 238.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Compiler

Compiled 38 to 16 computations (57.9% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.5%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))

Status

Accuracy

Program

▶

6.5%

(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)

simplify429.0ms (2.4%)

Memory

4.9MiB live, 156.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

localize235.0ms (1.3%)

Memory

-4.1MiB live, 91.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.42578125	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
accuracy	0.4904834974978386	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
accuracy	1.9843942573557762	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
accuracy	56.52628356495958	(-.f64 (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

204.0ms	234×	1	valid
7.0ms	7×	2	valid
2.0ms	15×	0	valid

Compiler

Compiled 198 to 18 computations (90.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 197.0ms

ival-neg: 76.0ms (38.7% of total)

ival-div: 47.0ms (23.9% of total)

ival-pi: 33.0ms (16.8% of total)

ival-exp: 17.0ms (8.6% of total)

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

adjust: 6.0ms (3.1% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

series166.0ms (0.9%)

Memory

6.7MiB live, 78.5MiB allocated

Counts

7 → 60

Calls

Call 1

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

Outputs
#<alt (/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI)))))>
#<alt (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)>
#<alt (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)>
#<alt (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))>
#<alt (- (* -2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))>
#<alt (- (* f (- (* -2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))>
#<alt (- (* f (- (* f (- (* -2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))>
#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* f (- (* 1/4 (PI)) (* -1/4 (PI))))>
#<alt (* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))>
#<alt (* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (* 1/122880 (pow (PI) 5)) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))>
#<alt (* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (+ (* 1/122880 (pow (PI) 5)) (* (pow f 2) (- (* 1/82575360 (pow (PI) 7)) (* -1/82575360 (pow (PI) 7))))) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f)))>
#<alt (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* 1/2 (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))>
#<alt (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* f (+ (* 1/2 (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 1/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))>
#<alt (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* f (+ (* 1/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (+ (* 1/6 (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))) (* 1/2 (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))))>
#<alt (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))>
#<alt (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))>
#<alt (+ (* 2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))>
#<alt (+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))))>
#<alt (+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))) (* f (+ (* 2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))))))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>

Calls

15 calls:

Time	Variable		Point	Expression
89.0ms	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))))))))
66.0ms	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)))))

simplify272.0ms (1.5%)

Memory

12.0MiB live, 202.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI)))))
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(- (* -2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(- (* f (- (* -2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(- (* f (- (* f (- (* -2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* f (- (* 1/4 (PI)) (* -1/4 (PI))))
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (* 1/122880 (pow (PI) 5)) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (+ (* 1/122880 (pow (PI) 5)) (* (pow f 2) (- (* 1/82575360 (pow (PI) 7)) (* -1/82575360 (pow (PI) 7))))) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f)))
(+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* 1/2 (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))
(+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* f (+ (* 1/2 (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 1/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))
(+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* f (+ (* 1/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (+ (* 1/6 (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))) (* 1/2 (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(+ (* 2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))))
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Outputs
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(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))))
(+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f)))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* 1/2 (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
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(-.f64 (fma.f64 (.f64 (PI.f64) (.f64 (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64))) (.f64 f (*.f64 f #s(literal 1/2 binary64))) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (log.f64 f))
(+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* f (+ (* 1/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (+ (* 1/6 (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))) (* 1/2 (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))))
(-.f64 (fma.f64 (.f64 (PI.f64) (.f64 (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64))) (.f64 f (*.f64 f #s(literal 1/2 binary64))) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (log.f64 f))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(+ (* 2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(fma.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 0 binary64))
(+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 f (.f64 f (.f64 (PI.f64) (.f64 (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64))))) (PI.f64)) (fma.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 0 binary64)))
(+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))) (* f (+ (* 2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))))))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 f (.f64 f (.f64 (PI.f64) (.f64 (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64))))) (PI.f64)) (fma.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 0 binary64)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))

rewrite285.0ms (1.6%)

Memory

25.5MiB live, 454.3MiB allocated

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

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

Counts

7 → 561

Calls

Call 1

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

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

eval162.0ms (0.9%)

Memory: 19.5MiB live, 330.2MiB allocated
Compiler: Compiled 32 226 to 3 625 computations (88.8% saved)

prune159.0ms (0.9%)

Memory

-44.6MiB live, 301.0MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

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

Accuracy

99.3%

Counts

786 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.7%	(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
▶	98.7%	(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
▶	98.6%	(/.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)))))
▶	98.7%	(.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
	95.5%	(neg.f64 (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64))) #s(literal 4 binary64)) (.f64 (+.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (+.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))) (PI.f64))))
	98.6%	(neg.f64 (/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
	98.4%	(neg.f64 (.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
	95.6%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))))
	98.5%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
	95.8%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
	95.9%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
▶	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) f) #s(literal 1/2 binary64))) (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))))))
	95.4%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
	95.0%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
▶	95.0%	(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))))))))
	95.1%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))

Compiler

Compiled 832 to 516 computations (38% saved)

simplify185.0ms (1%)

Memory

31.4MiB live, 376.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.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))))) (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64)))))
cost-diff	128	(neg.f64 (.f64 (.f64 (PI.f64) f) #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 (/.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))))) (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64))))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 (PI.f64) #s(literal 1/4 binary64))
cost-diff	0	(pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))
cost-diff	13184	(.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)))))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 (PI.f64) #s(literal 1/4 binary64))
cost-diff	0	(/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))))))
cost-diff	128	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
cost-diff	320	(/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff	0	(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)
cost-diff	0	(tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))
cost-diff	0	(log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
cost-diff	0	(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))

Rules

5 188×	`lower-fma.f64`
5 188×	`lower-fma.f32`
5 018×	`lower-*.f32`
4 996×	`lower-*.f64`
2 830×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	543
0	81	526
1	176	488
2	436	488
3	1068	488
4	2767	488
0	8042	488

Stop Event

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

Calls

Call 1

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

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

localize629.0ms (3.5%)

Memory

-38.9MiB live, 811.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.4904834974978386	(log.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))))) (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64))))
accuracy	1.6952712269370835	(PI.f64)
accuracy	26.764868081353704	(/.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))))) (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64)))
accuracy	56.489206253042305	(-.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)))))
accuracy	0.265625	(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)
accuracy	0.30078125	(.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)))))
accuracy	0.4865772474978385	(log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
accuracy	1.6952712269370835	(PI.f64)
accuracy	0.265625	(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)
accuracy	0.33203125	(/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
accuracy	0.4865772474978385	(log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
accuracy	1.6952712269370835	(PI.f64)
accuracy	0.42578125	(.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	0.4904834974978386	(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	1.0330559803839423	#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	1.6952712269370835	(PI.f64)
accuracy	0.265625	(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)
accuracy	0.33203125	(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
accuracy	0.4865772474978385	(log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
accuracy	1.6952712269370835	(PI.f64)

Samples

307.0ms	7×	5	exit
212.0ms	234×	1	valid
5.0ms	15×	0	valid

Compiler

Compiled 513 to 48 computations (90.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 475.0ms

ival-log: 277.0ms (58.3% of total)

ival-mult: 47.0ms (9.9% of total)

ival-exp: 46.0ms (9.7% of total)

ival-div: 27.0ms (5.7% of total)

ival-neg: 14.0ms (2.9% of total)

adjust: 13.0ms (2.7% of total)

ival-pow: 12.0ms (2.5% of total)

ival-sinh: 10.0ms (2.1% of total)

ival-tanh: 10.0ms (2.1% of total)

ival-pow2: 6.0ms (1.3% of total)

ival-pi: 5.0ms (1.1% of total)

ival-sub: 5.0ms (1.1% of total)

ival-add: 2.0ms (0.4% of total)

exact: 1.0ms (0.2% of total)

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

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

series202.0ms (1.1%)

Memory

33.5MiB live, 221.6MiB allocated

Counts

22 → 216

Calls

Call 1

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

Outputs
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#<alt (+ (log (* 4 (/ (- (* 1/2 (PI)) (* -1/2 (PI))) (pow (PI) 2)))) (+ (* -1 (log f)) (* f (+ (* -4 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* f (+ (* 1/6 (* f (+ (* -128 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (+ (* -3/8 (/ (* (pow (PI) 2) (+ (* -1024 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (* (+ (* 1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))))) (* 1/4 (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2))) (- (* 1/2 (PI)) (* -1/2 (PI))))) (pow (PI) 5))) (+ (* 4 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 16 (/ (- (* 1/48 (pow (PI) 3)) (* -1/48 (pow (PI) 3))) (pow (PI) 2))) (+ (* -256 (/ (* (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (- (* 1/2 (PI)) (* -1/2 (PI)))) (pow (PI) 4))) (* 256 (/ (* (+ (* 1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))))) (* 1/4 (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2))) (- (* 1/2 (PI)) (* -1/2 (PI)))) (pow (PI) 4)))))) (PI))) (* 256 (/ (* (+ (* 1/4 (* (PI) (+ (* -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))))))) (* 1/2 (* (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))))) (- (* 1/2 (PI)) (* -1/2 (PI)))) (pow (PI) 4)))))) (- (* 1/2 (PI)) (* -1/2 (PI))))) (* 3/2 (/ (* (PI) (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 16 (/ (- (* 1/48 (pow (PI) 3)) (* -1/48 (pow (PI) 3))) (pow (PI) 2))) (+ (* -256 (/ (* (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (- (* 1/2 (PI)) (* -1/2 (PI)))) (pow (PI) 4))) (* 256 (/ (* (+ (* 1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))))) (* 1/4 (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2))) (- (* 1/2 (PI)) (* -1/2 (PI)))) (pow (PI) 4))))))) (- (* 1/2 (PI)) (* -1/2 (PI))))))))) (* 1/2 (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 1/8 (/ (* (pow (PI) 2) (- (* 16 (/ (- (* 1/48 (pow (PI) 3)) (* -1/48 (pow (PI) 3))) (pow (PI) 2))) (+ (* -256 (/ (* (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (- (* 1/2 (PI)) (* -1/2 (PI)))) (pow (PI) 4))) (* 256 (/ (* (+ (* 1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))))) (* 1/4 (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2))) (- (* 1/2 (PI)) (* -1/2 (PI)))) (pow (PI) 4)))))) (- (* 1/2 (PI)) (* -1/2 (PI)))))))))))))>
#<alt (log (/ (- (exp (* 1/2 (* f (PI)))) (exp (neg (* 1/2 (* f (PI)))))) (pow (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) 2)))>
#<alt (log (/ (- (exp (* 1/2 (* f (PI)))) (exp (neg (* 1/2 (* f (PI)))))) (pow (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) 2)))>
#<alt (log (/ (- (exp (* 1/2 (* f (PI)))) (exp (neg (* 1/2 (* f (PI)))))) (pow (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) 2)))>
#<alt (log (/ (- (exp (* 1/2 (* f (PI)))) (exp (neg (* 1/2 (* f (PI)))))) (pow (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) 2)))>
#<alt (log (/ (- (exp (* 1/2 (* f (PI)))) (exp (neg (* 1/2 (* f (PI)))))) (pow (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) 2)))>
#<alt (log (/ (- (exp (* 1/2 (* f (PI)))) (exp (neg (* 1/2 (* f (PI)))))) (pow (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) 2)))>
#<alt (log (/ (- (exp (* 1/2 (* f (PI)))) (exp (neg (* 1/2 (* f (PI)))))) (pow (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) 2)))>
#<alt (log (/ (- (exp (* 1/2 (* f (PI)))) (exp (neg (* 1/2 (* f (PI)))))) (pow (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) 2)))>

Calls

54 calls:

Time	Variable		Point	Expression
63.0ms	f	@	-inf	(/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) 1/4))
41.0ms	f	@	inf	(/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) 1/4))
35.0ms	f	@	inf	(neg (* (/ 1 (/ (PI) 4)) (log (/ (- (exp (* (* (PI) f) 1/2)) (exp (neg (* (* (PI) f) 1/2)))) (pow (* 2 (sinh (* (* (PI) 1/4) f))) 2)))))
32.0ms	f	@	-inf	(neg (* (/ 1 (/ (PI) 4)) (log (/ (- (exp (* (* (PI) f) 1/2)) (exp (neg (* (* (PI) f) 1/2)))) (pow (* 2 (sinh (* (* (PI) 1/4) f))) 2)))))
6.0ms	f	@	0	(neg (* (/ 1 (/ (PI) 4)) (log (/ (- (exp (* (* (PI) f) 1/2)) (exp (neg (* (* (PI) f) 1/2)))) (pow (* 2 (sinh (* (* (PI) 1/4) f))) 2)))))

simplify307.0ms (1.7%)

Memory

-13.6MiB live, 334.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 996×	`lower-fma.f64`
10 996×	`lower-fma.f32`
5 784×	`lower-*.f64`
5 784×	`lower-*.f32`
2 602×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	522	9113
1	1716	7478
2	7854	7438
0	8165	7149

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

Inputs
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))))))))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(+ (log f) (log (* 1/4 (PI))))
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(+ (log 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)))))))
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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))))))))
(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)))))))
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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)))))))
(/ (- (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)))))))
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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)))))))
(* 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)))
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(/ 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))))
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(- (* f (- (* f (- (* -2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(* -4 (/ (log (/ (+ (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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Outputs
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(fma.f64 f (fma.f64 f (fma.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (fma.f64 (.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (fma.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/384 binary64)) (.f64 (PI.f64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)))) #s(literal 0 binary64))) (/.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 5 binary64))) (fma.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 (.f64 (.f64 #s(literal 256 binary64) (PI.f64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) (fma.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/192 binary64)))) (fma.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/32 binary64)) (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/3072 binary64)))) (.f64 (fma.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/384 binary64)) (.f64 (PI.f64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)))) #s(literal 0 binary64)))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (PI.f64))) (.f64 (-.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64))) (.f64 (PI.f64) (PI.f64))) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/384 binary64)) (.f64 (PI.f64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)))) #s(literal 0 binary64)) (.f64 (/.f64 (PI.f64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (PI.f64))) #s(literal 256 binary64)) (/.f64 (.f64 (PI.f64) #s(literal 0 binary64)) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (PI.f64))))) (/.f64 #s(literal 0 binary64) (PI.f64))))) (PI.f64)) (fma.f64 (.f64 #s(literal 3/2 binary64) (PI.f64)) (.f64 (-.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64))) (.f64 (PI.f64) (PI.f64))) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/384 binary64)) (.f64 (PI.f64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)))) #s(literal 0 binary64)) (.f64 (/.f64 (PI.f64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (PI.f64))) #s(literal 256 binary64)) (/.f64 (.f64 (PI.f64) #s(literal 0 binary64)) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (PI.f64))))) (/.f64 #s(literal 0 binary64) (PI.f64))) (/.f64 #s(literal 0 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))))) (.f64 f #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 (-.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64))) (.f64 (PI.f64) (PI.f64))) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (fma.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/384 binary64)) (.f64 (PI.f64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)))) #s(literal 0 binary64)) (.f64 (/.f64 (PI.f64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (PI.f64))) #s(literal 256 binary64)) (/.f64 (.f64 (PI.f64) #s(literal 0 binary64)) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (PI.f64))))) (/.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (/.f64 #s(literal 0 binary64) (.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 0 binary64) (PI.f64))) (-.f64 (log.f64 (/.f64 (.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (log.f64 f)))
(log (/ (- (exp (* 1/2 (* f (PI)))) (exp (neg (* 1/2 (* f (PI)))))) (pow (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) 2)))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/2 binary64))))) (pow.f64 (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))) #s(literal 2 binary64))))
(log (/ (- (exp (* 1/2 (* f (PI)))) (exp (neg (* 1/2 (* f (PI)))))) (pow (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) 2)))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/2 binary64))))) (pow.f64 (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))) #s(literal 2 binary64))))
(log (/ (- (exp (* 1/2 (* f (PI)))) (exp (neg (* 1/2 (* f (PI)))))) (pow (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) 2)))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/2 binary64))))) (pow.f64 (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))) #s(literal 2 binary64))))
(log (/ (- (exp (* 1/2 (* f (PI)))) (exp (neg (* 1/2 (* f (PI)))))) (pow (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) 2)))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/2 binary64))))) (pow.f64 (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))) #s(literal 2 binary64))))
(log (/ (- (exp (* 1/2 (* f (PI)))) (exp (neg (* 1/2 (* f (PI)))))) (pow (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) 2)))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/2 binary64))))) (pow.f64 (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))) #s(literal 2 binary64))))
(log (/ (- (exp (* 1/2 (* f (PI)))) (exp (neg (* 1/2 (* f (PI)))))) (pow (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) 2)))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/2 binary64))))) (pow.f64 (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))) #s(literal 2 binary64))))
(log (/ (- (exp (* 1/2 (* f (PI)))) (exp (neg (* 1/2 (* f (PI)))))) (pow (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) 2)))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/2 binary64))))) (pow.f64 (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))) #s(literal 2 binary64))))
(log (/ (- (exp (* 1/2 (* f (PI)))) (exp (neg (* 1/2 (* f (PI)))))) (pow (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) 2)))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/2 binary64))))) (pow.f64 (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))) #s(literal 2 binary64))))

rewrite295.0ms (1.6%)

Memory

39.5MiB live, 432.1MiB allocated

Rules

4 104×	`lower-/.f32`
4 090×	`lower-/.f64`
3 364×	`lower-*.f32`
3 342×	`lower-*.f64`
2 488×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	393
0	81	241
1	320	218
2	1867	197
0	8928	197

Stop Event

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

Counts

22 → 1 133

Calls

Call 1

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

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

eval390.0ms (2.2%)

Memory: 24.8MiB live, 605.7MiB allocated
Compiler: Compiled 74 336 to 7 895 computations (89.4% saved)

prune339.0ms (1.9%)

Memory

-37.2MiB live, 572.4MiB allocated

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	2 606	18	2 624
Fresh	7	4	11
Picked	4	1	5
Done	0	0	0
Total	2 617	23	2 640

Accuracy

99.9%

Counts

2 640 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.4%	(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f))))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f)))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f))))) (log1p.f64 (neg.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f))))) (fma.f64 (log1p.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 (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)))
	10.0%	(/.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)))
	96.0%	(/.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
▶	96.0%	(/.f64 (log.f64 (.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
	97.6%	(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
✓	98.7%	(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
▶	95.2%	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
	10.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (-.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)))))))
	95.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))))
▶	95.1%	(/.f64 #s(literal 1 binary64) (/.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)))))))
▶	98.6%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)))
	4.4%	(.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)) (/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f))))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f)))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f))))) (log1p.f64 (neg.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f))))) (fma.f64 (log1p.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 (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))))))))))
	10.0%	(.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (-.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)))))))
	95.1%	(.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 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))))
	95.0%	(.f64 (/.f64 #s(literal 4 binary64) (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 4 binary64) (*.f64 (PI.f64) f))))))
	98.6%	(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))))
	95.1%	(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)))))
	94.7%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))))))
	93.7%	(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))))))))
	95.4%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
	95.0%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
▶	95.0%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 (/.f64 #s(literal 2 binary64) f) #s(literal 1/2 binary64))))))))
	95.1%	#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))

Compiler

Compiled 1 088 to 620 computations (43% saved)

simplify200.0ms (1.1%)

Memory

3.3MiB live, 241.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(expm1.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64))))
cost-diff	0	(log.f64 (.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))))))
cost-diff	0	(/.f64 (log.f64 (.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
cost-diff	8256	(.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))))))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 (PI.f64) #s(literal 1/4 binary64))
cost-diff	0	(/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) #s(approx (log (tanh ( (* (PI) 1/4) f))) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.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)))))))
cost-diff	320	(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 (/.f64 #s(literal 2 binary64) f) #s(literal 1/2 binary64))))
cost-diff	704	(/.f64 (/.f64 #s(literal 2 binary64) f) #s(literal 1/2 binary64))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff	768	(/.f64 (PI.f64) (/.f64 (/.f64 #s(literal 2 binary64) f) #s(literal 1/2 binary64)))
cost-diff	0	(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
cost-diff	0	#s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))
cost-diff	0	(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
cost-diff	0	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
cost-diff	0	(log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))
cost-diff	0	(/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))
cost-diff	0	(.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64))
cost-diff	704	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)))

Rules

9 262×	`lower-fma.f64`
9 262×	`lower-fma.f32`
3 304×	`lower-*.f32`
3 284×	`lower-*.f64`
1 860×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	505
0	95	472
1	203	439
2	394	426
3	814	426
4	1469	426
5	3506	426
6	6439	426
0	8016	426

Stop Event

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

Calls

Call 1

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

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

localize714.0ms (4%)

Memory

-68.6MiB live, 740.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.265625	(.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))
accuracy	0.33203125	(/.f64 (log.f64 (.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
accuracy	0.4865772474978386	(log.f64 (.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))))))
accuracy	1.6952712269370835	(PI.f64)
accuracy	0.33203125	(/.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))))))
accuracy	1.0677133467700697	#s(approx (log (tanh (* (* (PI) 1/4) f))) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
accuracy	1.5416236823420566	(log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy	1.6952712269370835	(PI.f64)
accuracy	0.42578125	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 (/.f64 #s(literal 2 binary64) f) #s(literal 1/2 binary64)))))))
accuracy	0.4904834974978386	(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 (/.f64 #s(literal 2 binary64) f) #s(literal 1/2 binary64))))))
accuracy	1.0330559803839423	#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 (/.f64 #s(literal 2 binary64) f) #s(literal 1/2 binary64)))))
accuracy	1.6952712269370835	(PI.f64)
accuracy	0.33203125	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
accuracy	0.4865772474978386	(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))
accuracy	1.0322700294083356	#s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))
accuracy	1.6952712269370835	(PI.f64)
accuracy	0.2890625	(/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))
accuracy	0.2890625	(.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64))
accuracy	0.4865772474978386	(log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))
accuracy	1.6952712269370835	(PI.f64)

Samples

469.0ms	233×	1	valid
163.0ms	7×	5	exit
6.0ms	16×	0	valid

Compiler

Compiled 433 to 53 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 335.0ms

ival-log: 145.0ms (43.2% of total)

ival-exp: 45.0ms (13.4% of total)

ival-div: 39.0ms (11.6% of total)

ival-mult: 36.0ms (10.7% of total)

ival-tanh: 26.0ms (7.8% of total)

adjust: 18.0ms (5.4% of total)

ival-expm1: 10.0ms (3% of total)

ival-add: 7.0ms (2.1% of total)

ival-neg: 4.0ms (1.2% of total)

ival-pi: 3.0ms (0.9% 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)

series71.0ms (0.4%)

Memory

-6.3MiB live, 119.0MiB allocated

Counts

26 → 264

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)))>
#<alt (.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64))>
#<alt (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f)))))>
#<alt (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 #s(literal 1/4 binary64) f))))>
#<alt (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))>
#<alt (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))>
#<alt #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))>
#<alt (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))>
#<alt (/.f64 (PI.f64) (/.f64 (/.f64 #s(literal 2 binary64) f) #s(literal 1/2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))>
#<alt (/.f64 (/.f64 #s(literal 2 binary64) f) #s(literal 1/2 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 (/.f64 #s(literal 2 binary64) f) #s(literal 1/2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (/.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)))))))>
#<alt (/.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))))))>
#<alt (*.f64 (PI.f64) #s(literal 1/4 binary64))>
#<alt (PI.f64)>
#<alt (.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))))))>
#<alt (/.f64 (log.f64 (.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))>
#<alt (log.f64 (.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))))))>
#<alt (expm1.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64))))>
#<alt #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 (/.f64 #s(literal 2 binary64) f) #s(literal 1/2 binary64)))))>
#<alt (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 (/.f64 #s(literal 2 binary64) f) #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 1 binary64) (/.f64 (PI.f64) (/.f64 (/.f64 #s(literal 2 binary64) f) #s(literal 1/2 binary64)))))))>
#<alt (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))>
#<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 (PI.f64) (.f64 f #s(literal 1/2 binary64)))>

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

Calls

66 calls:

Time	Variable		Point	Expression
27.0ms	f	@	inf	(/ (log (* (- (exp (* (PI) (* f 1/2))) 1) (/ 1 (+ 1 (exp (* (PI) (* f 1/2))))))) (* (PI) 1/4))
22.0ms	f	@	-inf	(/ (log (* (- (exp (* (PI) (* f 1/2))) 1) (/ 1 (+ 1 (exp (* (PI) (* f 1/2))))))) (* (PI) 1/4))
2.0ms	f	@	0	(/ 1/4 (log (tanh (* (PI) (* 1/4 f)))))
2.0ms	f	@	0	(/ (log (* (- (exp (* (PI) (* f 1/2))) 1) (/ 1 (+ 1 (exp (* (PI) (* f 1/2))))))) (* (PI) 1/4))
1.0ms	f	@	0	(* (- (exp (* (PI) (* f 1/2))) 1) (/ 1 (+ 1 (exp (* (PI) (* f 1/2))))))

simplify238.0ms (1.3%)

Memory

11.2MiB live, 286.3MiB allocated

Algorithm

1×	egg-herbie

Rules

5 354×	`lower-fma.f64`
5 354×	`lower-fma.f32`
4 416×	`lower-*.f64`
4 416×	`lower-*.f32`
2 048×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	478	8691
1	1572	7534
2	6950	6394
0	8660	6135

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))))))))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 1/4 (/ (PI) (+ (log f) (log (* 1/4 (PI))))))
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(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 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 1/1024 binary64) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal -1/3072 binary64) (.f64 (fma.f64 (PI.f64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/192 binary64))) (.f64 (PI.f64) #s(literal -1/4 binary64))))) (.f64 (.f64 #s(literal 1/8 binary64) (PI.f64)) (fma.f64 (PI.f64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (.f64 #s(literal -1/128 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))))) (PI.f64)) #s(literal 0 binary64)) (.f64 f #s(literal 1/6 binary64)) (.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) (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64) (.f64 #s(literal -1/128 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))))) (PI.f64)))) #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 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))) (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))))))
(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 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))) (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))))))
(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 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))) (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))))))
(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 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))) (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))))))
(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 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))) (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))))))
(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 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))) (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))))))
(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 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))) (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))))))
(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 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))) (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))))))
(* 1/2 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))

rewrite305.0ms (1.7%)

Memory

-20.6MiB live, 378.7MiB allocated

Rules

4 020×	`lower-fma.f64`
4 020×	`lower-fma.f32`
3 948×	`lower-*.f32`
3 928×	`lower-*.f64`
3 812×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	57	369
0	93	270
1	372	242
2	2205	242
0	8468	242

Stop Event

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

Counts

26 → 1 415

Calls

Call 1

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

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

eval516.0ms (2.9%)

Memory: 1.5MiB live, 597.7MiB allocated
Compiler: Compiled 72 344 to 10 948 computations (84.9% saved)

prune429.0ms (2.4%)

Memory

12.7MiB live, 451.9MiB allocated

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	2 615	11	2 626
Fresh	8	9	17
Picked	3	2	5
Done	0	1	1
Total	2 626	23	2 649

Accuracy

99.9%

Counts

2 649 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.4%	(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f))))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f)))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f))))) (log1p.f64 (neg.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f))))) (fma.f64 (log1p.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 (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)))
	95.0%	(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) #s(approx (log (tanh (* (* (PI) 1/4) f))) (log.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))
	10.0%	(/.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)))
▶	96.0%	(/.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
	95.6%	(/.f64 (log.f64 (.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))))))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)))
✓	96.0%	(/.f64 (log.f64 (.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
✓	98.7%	(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
▶	95.4%	(/.f64 (log.f64 #s(approx (* (- (exp (* (PI) (* f 1/2))) 1) (/ 1 (+ 1 (exp (* (PI) (* f 1/2)))))) (.f64 f (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal -1/192 binary64) (.f64 f f)) (.f64 #s(literal 1/4 binary64) (PI.f64)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
	95.2%	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
	94.8%	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)))
	94.1%	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
✓	95.2%	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
	10.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (-.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)))))))
	95.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))))
▶	95.1%	(/.f64 #s(literal 1 binary64) (/.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)))) (PI.f64))))
	95.0%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) #s(approx (log (tanh ( (* (PI) 1/4) f))) (log.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (PI.f64)))
	4.4%	(.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)) (/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f))))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f)))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f))))) (log1p.f64 (neg.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f))))) (fma.f64 (log1p.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 (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))))))))))
	10.0%	(.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (-.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)))))))
	95.1%	(.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 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))))))
	95.0%	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (log (tanh ( (* (PI) 1/4) f))) (log.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))))
▶	95.0%	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
▶	98.6%	(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))))
	95.4%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))

Compiler

Compiled 1 061 to 579 computations (45.4% saved)

simplify264.0ms (1.5%)

Memory

-31.7MiB live, 138.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(expm1.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))
cost-diff	0	(log.f64 (/.f64 (expm1.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)))))
cost-diff	0	(/.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
cost-diff	7936	(/.f64 (expm1.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))
cost-diff	0	#s(approx (* (- (exp (* (PI) (* f 1/2))) 1) (/ 1 (+ 1 (exp (* (PI) (* f 1/2)))))) (.f64 f (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal -1/192 binary64) (.f64 f f)) (.f64 #s(literal 1/4 binary64) (PI.f64)))))
cost-diff	0	(log.f64 #s(approx (* (- (exp (* (PI) (* f 1/2))) 1) (/ 1 (+ 1 (exp (* (PI) (* f 1/2)))))) (.f64 f (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal -1/192 binary64) (.f64 f f)) (.f64 #s(literal 1/4 binary64) (PI.f64))))))
cost-diff	0	(/.f64 (log.f64 #s(approx (* (- (exp (* (PI) (* f 1/2))) 1) (/ 1 (+ 1 (exp (* (PI) (* f 1/2)))))) (.f64 f (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal -1/192 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 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal -1/192 binary64) (.f64 f f)) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
cost-diff	0	(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))
cost-diff	0	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (PI.f64))
cost-diff	384	(/.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)))) (PI.f64)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (PI.f64))))
cost-diff	0	(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))
cost-diff	0	(PI.f64)
cost-diff	0	(/.f64 #s(literal 4 binary64) (PI.f64))
cost-diff	0	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
cost-diff	0	(neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
cost-diff	128	(.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
cost-diff	128	(neg.f64 (/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
cost-diff	1984	(/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))

Rules

3 944×	`lower-fma.f32`
3 942×	`lower-fma.f64`
3 532×	`lower-*.f32`
3 504×	`lower-*.f64`
1 682×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	487
0	93	446
1	195	409
2	418	393
3	975	389
4	2166	389
5	4316	389
6	7371	389
0	8009	385

Stop Event

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

Calls

Call 1

Inputs
(neg.f64 (/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
f
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
(sqrt.f64 (PI.f64))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))
#s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))
(.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) f)
f
(/.f64 #s(literal 1 binary64) (/.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)))) (PI.f64))))
#s(literal 1 binary64)
(/.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)))) (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)))) (PI.f64))
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))
#s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))
(.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))
(*.f64 (PI.f64) f)
(PI.f64)
f
(/.f64 (log.f64 #s(approx (* (- (exp (* (PI) (* f 1/2))) 1) (/ 1 (+ 1 (exp (* (PI) (* f 1/2)))))) (.f64 f (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal -1/192 binary64) (.f64 f f)) (.f64 #s(literal 1/4 binary64) (PI.f64)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 #s(approx (* (- (exp (* (PI) (* f 1/2))) 1) (/ 1 (+ 1 (exp (* (PI) (* f 1/2)))))) (.f64 f (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal -1/192 binary64) (.f64 f f)) (.f64 #s(literal 1/4 binary64) (PI.f64))))))
#s(approx (* (- (exp (* (PI) (* f 1/2))) 1) (/ 1 (+ 1 (exp (* (PI) (* f 1/2)))))) (.f64 f (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal -1/192 binary64) (.f64 f f)) (.f64 #s(literal 1/4 binary64) (PI.f64)))))
(.f64 f (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal -1/192 binary64) (.f64 f f)) (.f64 #s(literal 1/4 binary64) (PI.f64))))
f
(fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal -1/192 binary64) (.f64 f f)) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
(PI.f64)
(*.f64 (PI.f64) (PI.f64))
(.f64 #s(literal -1/192 binary64) (.f64 f f))
#s(literal -1/192 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))
(/.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 (/.f64 (expm1.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)))))
(/.f64 (expm1.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))
(expm1.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))
(.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
f
(+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)))
#s(literal 1 binary64)
(exp.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)

Outputs
(neg.f64 (/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal -1/4 binary64)))
(neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
f
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
(sqrt.f64 (PI.f64))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
(/.f64 (log.f64 #s(approx (* (- (exp (* (PI) (* f 1/2))) 1) (/ 1 (+ 1 (exp (* (PI) (* f 1/2)))))) (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) 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 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))
(log.f64 #s(approx (* (- (exp (* (PI) (* f 1/2))) 1) (/ 1 (+ 1 (exp (* (PI) (* f 1/2)))))) (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
#s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))
#s(approx (* (- (exp (* (PI) (* f 1/2))) 1) (/ 1 (+ 1 (exp (* (PI) (* f 1/2)))))) (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))
(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)
#s(literal 1/4 binary64)
(*.f64 (PI.f64) f)
f
(/.f64 #s(literal 1 binary64) (/.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)))) (PI.f64))))
(/.f64 (log.f64 #s(approx (* (- (exp (* (PI) (* f 1/2))) 1) (/ 1 (+ 1 (exp (* (PI) (* f 1/2)))))) (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
#s(literal 1 binary64)
(/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (PI.f64)))
(/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx ( (- (exp (* (PI) (* f 1/2))) 1) (/ 1 (+ 1 (exp (* (PI) (* f 1/2)))))) (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
#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)))) (PI.f64))
(/.f64 (log.f64 #s(approx (* (- (exp (* (PI) (* f 1/2))) 1) (/ 1 (+ 1 (exp (* (PI) (* f 1/2)))))) (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (PI.f64))
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))
(log.f64 #s(approx (* (- (exp (* (PI) (* f 1/2))) 1) (/ 1 (+ 1 (exp (* (PI) (* f 1/2)))))) (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
#s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))
#s(approx (* (- (exp (* (PI) (* f 1/2))) 1) (/ 1 (+ 1 (exp (* (PI) (* f 1/2)))))) (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))
(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) f)
(PI.f64)
f
(/.f64 (log.f64 #s(approx (* (- (exp (* (PI) (* f 1/2))) 1) (/ 1 (+ 1 (exp (* (PI) (* f 1/2)))))) (.f64 f (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal -1/192 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 (* (- (exp (* (PI) (* f 1/2))) 1) (/ 1 (+ 1 (exp (* (PI) (* f 1/2)))))) (.f64 f (.f64 (PI.f64) (fma.f64 f (.f64 (PI.f64) (.f64 (PI.f64) (.f64 f #s(literal -1/192 binary64)))) #s(literal 1/4 binary64)))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 #s(approx (* (- (exp (* (PI) (* f 1/2))) 1) (/ 1 (+ 1 (exp (* (PI) (* f 1/2)))))) (.f64 f (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal -1/192 binary64) (.f64 f f)) (.f64 #s(literal 1/4 binary64) (PI.f64))))))
(log.f64 #s(approx (* (- (exp (* (PI) (* f 1/2))) 1) (/ 1 (+ 1 (exp (* (PI) (* f 1/2)))))) (.f64 f (.f64 (PI.f64) (fma.f64 f (.f64 (PI.f64) (.f64 (PI.f64) (*.f64 f #s(literal -1/192 binary64)))) #s(literal 1/4 binary64))))))
#s(approx (* (- (exp (* (PI) (* f 1/2))) 1) (/ 1 (+ 1 (exp (* (PI) (* f 1/2)))))) (.f64 f (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal -1/192 binary64) (.f64 f f)) (.f64 #s(literal 1/4 binary64) (PI.f64)))))
#s(approx (* (- (exp (* (PI) (* f 1/2))) 1) (/ 1 (+ 1 (exp (* (PI) (* f 1/2)))))) (.f64 f (.f64 (PI.f64) (fma.f64 f (.f64 (PI.f64) (.f64 (PI.f64) (*.f64 f #s(literal -1/192 binary64)))) #s(literal 1/4 binary64)))))
(.f64 f (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal -1/192 binary64) (.f64 f f)) (.f64 #s(literal 1/4 binary64) (PI.f64))))
(.f64 f (.f64 (PI.f64) (fma.f64 f (.f64 (PI.f64) (.f64 (PI.f64) (*.f64 f #s(literal -1/192 binary64)))) #s(literal 1/4 binary64))))
f
(fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal -1/192 binary64) (.f64 f f)) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(.f64 (PI.f64) (fma.f64 f (.f64 (PI.f64) (.f64 (PI.f64) (.f64 f #s(literal -1/192 binary64)))) #s(literal 1/4 binary64)))
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
(PI.f64)
(*.f64 (PI.f64) (PI.f64))
(.f64 #s(literal -1/192 binary64) (.f64 f f))
(.f64 f (.f64 f #s(literal -1/192 binary64)))
#s(literal -1/192 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))
(/.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 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)))
(log.f64 (/.f64 (expm1.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)))))
(log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(/.f64 (expm1.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))
(tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(expm1.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))
(expm1.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64)))
(.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)
(.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
f
(+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)))
(+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(exp.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))
(exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)

localize393.0ms (2.2%)

Memory

40.7MiB live, 308.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.265625	(.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)
accuracy	0.33203125	(/.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
accuracy	0.4865772474978386	(log.f64 (/.f64 (expm1.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)))))
accuracy	1.6952712269370835	(PI.f64)
accuracy	0.4865772474978386	(log.f64 #s(approx (* (- (exp (* (PI) (* f 1/2))) 1) (/ 1 (+ 1 (exp (* (PI) (* f 1/2)))))) (.f64 f (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal -1/192 binary64) (.f64 f f)) (.f64 #s(literal 1/4 binary64) (PI.f64))))))
accuracy	0.890996114811585	#s(approx (* (- (exp (* (PI) (* f 1/2))) 1) (/ 1 (+ 1 (exp (* (PI) (* f 1/2)))))) (.f64 f (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal -1/192 binary64) (.f64 f f)) (.f64 #s(literal 1/4 binary64) (PI.f64)))))
accuracy	0.97265625	(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
accuracy	1.6952712269370835	(PI.f64)
accuracy	0.33203125	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (PI.f64))
accuracy	0.4865772474978386	(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))
accuracy	1.0322700294083358	#s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))
accuracy	1.6952712269370835	(PI.f64)
accuracy	0.42578125	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
accuracy	0.4865772474978386	(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))
accuracy	1.0322700294083358	#s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))
accuracy	1.6952712269370835	(PI.f64)
accuracy	0.3359375	(/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
accuracy	0.4865772474978386	(log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
accuracy	0.97265625	(sqrt.f64 (PI.f64))
accuracy	1.6952712269370835	(PI.f64)

Samples

151.0ms	7×	5	exit
109.0ms	247×	0	valid
2.0ms	2×	1	valid

Compiler

Compiled 400 to 51 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 236.0ms

ival-log: 114.0ms (48.2% of total)

ival-exp: 34.0ms (14.4% of total)

ival-mult: 30.0ms (12.7% of total)

ival-div: 17.0ms (7.2% of total)

ival-expm1: 17.0ms (7.2% of total)

ival-tanh: 9.0ms (3.8% of total)

const: 4.0ms (1.7% of total)

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

adjust: 2.0ms (0.8% of total)

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

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

ival-pi: 1.0ms (0.4% of total)

exact: 1.0ms (0.4% of total)

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

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

series148.0ms (0.8%)

Memory

4.9MiB live, 51.2MiB allocated

Counts

24 → 240

Calls

Call 1

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

Calls

60 calls:

Time	Variable		Point	Expression
131.0ms	f	@	inf	(* (neg (log (tanh (* (* (PI) 1/4) f)))) (/ 4 (sqrt (PI))))
1.0ms	f	@	0	(* (neg (log (tanh (* (* (PI) 1/4) f)))) (/ 4 (sqrt (PI))))
1.0ms	f	@	0	(/ (* (neg (log (tanh (* (* (PI) 1/4) f)))) (/ 4 (sqrt (PI)))) (sqrt (PI)))
1.0ms	f	@	-inf	(* (neg (log (tanh (* (* (PI) 1/4) f)))) (/ 4 (sqrt (PI))))
1.0ms	f	@	0	(+ (* (* (PI) (* (PI) (PI))) (* -1/192 (* f f))) (* 1/4 (PI)))

simplify428.0ms (2.4%)

Memory

-10.3MiB live, 307.1MiB allocated

Algorithm

1×	egg-herbie

Rules

6 268×	`lower-fma.f64`
6 268×	`lower-fma.f32`
4 986×	`lower-*.f64`
4 986×	`lower-*.f32`
2 424×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	419	8761
1	1406	7543
2	5781	6459
0	8526	6169

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

Inputs
(* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(+ (* -8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))) (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))))
(+ (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* -8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* -2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))))))
(+ (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* -8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* -2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))) (* -2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))))))))
(* -4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
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(+ (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)))))))
(+.f64 (log.f64 f) (fma.f64 f (fma.f64 f (fma.f64 (/.f64 (fma.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (PI.f64)) #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (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 (PI.f64) (.f64 (.f64 (PI.f64) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/3072 binary64) (.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 #s(literal -1/128 binary64) (.f64 (PI.f64) (PI.f64))))) (.f64 (PI.f64) #s(literal 1/8 binary64)))) (PI.f64)) #s(literal 0 binary64)) (.f64 f #s(literal 1/6 binary64)) (fma.f64 (/.f64 (fma.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (PI.f64)) #s(literal 4 binary64) #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 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(log (/ (- (exp (* 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 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(log (/ (- (exp (* 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 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(log (/ (- (exp (* 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 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(log (/ (- (exp (* 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 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(log (/ (- (exp (* 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 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(log (/ (- (exp (* 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 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(log (/ (- (exp (* 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 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(* 1/4 (* f (PI)))
(.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))
(* f (+ (* 1/4 (PI)) (* 1/2 (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))))))
(fma.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal 0 binary64))
(* 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))))))))
(.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 (+ (* 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))))))))
(.f64 f (fma.f64 (.f64 f f) (fma.f64 f (fma.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (.f64 (.f64 (PI.f64) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/3072 binary64) (.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 #s(literal -1/128 binary64) (.f64 (PI.f64) (PI.f64))))) (.f64 (PI.f64) #s(literal 1/8 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 #s(literal 1/4 binary64) (PI.f64))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))))))
(* 1/2 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))

rewrite382.0ms (2.1%)

Memory

15.7MiB live, 511.6MiB allocated

Rules

4 204×	`lower-*.f32`
4 176×	`lower-*.f64`
4 052×	`lower-/.f32`
4 034×	`lower-/.f64`
2 848×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	355
0	93	328
1	340	267
2	1870	261
0	8185	257

Stop Event

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

Counts

24 → 1 382

Calls

Call 1

Inputs
(/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(neg.f64 (/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
(/.f64 #s(literal 4 binary64) (PI.f64))
(PI.f64)
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (PI.f64))))
(/.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)))) (PI.f64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (PI.f64))
(fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal -1/192 binary64) (.f64 f f)) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (log.f64 #s(approx (* (- (exp (* (PI) (* f 1/2))) 1) (/ 1 (+ 1 (exp (* (PI) (* f 1/2)))))) (.f64 f (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal -1/192 binary64) (.f64 f f)) (.f64 #s(literal 1/4 binary64) (PI.f64)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 #s(approx (* (- (exp (* (PI) (* f 1/2))) 1) (/ 1 (+ 1 (exp (* (PI) (* f 1/2)))))) (.f64 f (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal -1/192 binary64) (.f64 f f)) (.f64 #s(literal 1/4 binary64) (PI.f64))))))
#s(approx (* (- (exp (* (PI) (* f 1/2))) 1) (/ 1 (+ 1 (exp (* (PI) (* f 1/2)))))) (.f64 f (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal -1/192 binary64) (.f64 f f)) (.f64 #s(literal 1/4 binary64) (PI.f64)))))
(/.f64 (expm1.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))
(/.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 (/.f64 (expm1.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)))))
(expm1.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))
(sqrt.f64 (PI.f64))
(log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
#s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
(.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)

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

eval510.0ms (2.8%)

Memory: -3.4MiB live, 809.9MiB allocated
Compiler: Compiled 65 276 to 8 040 computations (87.7% saved)

prune526.0ms (2.9%)

Memory

17.1MiB live, 572.6MiB allocated

Pruning

27 alts after pruning (21 fresh and 6 done)

	Pruned	Kept	Total
New	2 479	9	2 488
Fresh	3	12	15
Picked	2	3	5
Done	0	3	3
Total	2 484	27	2 511

Accuracy

99.9%

Counts

2 511 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.4%	(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f))))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f)))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f))))) (log1p.f64 (neg.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f))))) (fma.f64 (log1p.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 (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)))
	95.0%	(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) #s(approx (log (tanh (* (* (PI) 1/4) f))) (log.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))
	10.0%	(/.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)))
	95.4%	(/.f64 (.f64 (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 f (.f64 (PI.f64) (fma.f64 (.f64 (PI.f64) (PI.f64)) (.f64 f (*.f64 f #s(literal -1/192 binary64))) #s(literal 1/4 binary64)))))) #s(literal 4 binary64)) (PI.f64))
	95.6%	(/.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))) (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)))
✓	96.0%	(/.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
	95.6%	(/.f64 (log.f64 (.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))))))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)))
✓	96.0%	(/.f64 (log.f64 (.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))))))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
✓	98.7%	(/.f64 (log.f64 (tanh.f64 (.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
	95.2%	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
	94.8%	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)))
	94.1%	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
✓	95.2%	(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
	95.0%	(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))))
	10.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (-.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)))))))
	95.3%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 f (.f64 (PI.f64) (fma.f64 (.f64 (PI.f64) (PI.f64)) (.f64 f (*.f64 f #s(literal -1/192 binary64))) #s(literal 1/4 binary64))))))))
✓	95.1%	(/.f64 #s(literal 1 binary64) (/.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)))) (PI.f64))))
	95.0%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))))) (PI.f64)))
	4.4%	(.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)) (/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f))))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f)))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f))))) (log1p.f64 (neg.f64 (exp.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) f))))) (fma.f64 (log1p.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 (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))))))))))
	10.0%	(.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (-.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)))))))
	94.9%	(.f64 (/.f64 (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
	95.0%	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (log (tanh ( (* (PI) 1/4) f))) (log.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))))
✓	95.0%	(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh ( (* (PI) 1/4) f)) (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
	94.7%	(.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 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))
	98.5%	(neg.f64 (/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))))
	95.1%	(neg.f64 (/.f64 (.f64 (neg.f64 #s(approx (log (tanh ( (* (PI) 1/4) f))) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
	95.4%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp ( (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (.f64 f (fma.f64 (.f64 #s(literal 1/192 binary64) (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))

Compiler

Compiled 1 863 to 637 computations (65.8% saved)

regimes103.0ms (0.6%)

Memory

-15.9MiB live, 194.5MiB allocated

Counts

55 → 1

Calls

Call 1

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

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:

21.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
21.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
16.0ms	f
14.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
13.0ms	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))

Results

Accuracy	Segments	Branch
98.7%	1	`f`
98.7%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
98.7%	1	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
98.7%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
98.7%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
98.7%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`

Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes41.0ms (0.2%)

Memory

-28.0MiB live, 88.1MiB allocated

Counts

25 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

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

Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes39.0ms (0.2%)

Memory

10.7MiB live, 91.3MiB allocated

Counts

23 → 1

Calls

Call 1

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

Outputs

(/.f64 (*.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 f (*.f64 f #s(literal -1/192 binary64))) #s(literal 1/4 binary64)))))) #s(literal 4 binary64)) (PI.f64))

Calls

6 calls:

8.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
7.0ms	f
6.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
5.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
5.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))

Results

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

Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes20.0ms (0.1%)

Memory

5.2MiB live, 44.7MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
95.2%	1	`f`
95.2%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
95.2%	1	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
95.2%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
95.2%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
95.2%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`

Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes16.0ms (0.1%)

Memory

-1.4MiB live, 38.1MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

6 calls:

3.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
3.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
3.0ms	f
2.0ms	(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))))))
2.0ms	(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
95.2%	1	`f`
95.2%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
95.2%	1	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
95.2%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
95.2%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
95.2%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`

Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes7.0ms (0%)

Memory

18.4MiB live, 18.4MiB 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 #s(literal 1/4 binary64) (.f64 (PI.f64) f)))))

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

Calls

6 calls:

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

Results

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

Compiler

Compiled 144 to 60 computations (58.3% saved)

simplify11.0ms (0.1%)

Memory

-21.0MiB live, 20.7MiB allocated

Algorithm

1×	egg-herbie

Rules

52×	`*-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	67	149
1	93	149
2	106	149
3	119	148
4	131	148
5	159	148
6	197	148
7	200	148

Stop Event

1×

saturated

Calls

Call 1

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

soundness1.0s (5.6%)

Memory

27.2MiB live, 1 021.9MiB allocated

Rules

10 996×	`lower-fma.f64`
10 996×	`lower-fma.f32`
7 296×	`lower-fma.f64`
7 296×	`lower-fma.f32`
5 784×	`lower-*.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	57	369
0	93	270
1	372	242
2	2205	242
0	8468	242
0	49	393
0	81	241
1	320	218
2	1867	197
0	8928	197
0	522	9113
1	1716	7478
2	7854	7438
0	8165	7149
0	55	355
0	93	328
1	340	267
2	1870	261
0	8185	257
0	16	154
0	29	100
1	119	52
2	783	52
0	8561	52
0	478	8691
1	1572	7534
2	6950	6394
0	8660	6135
0	190	1850
1	553	1668
2	2112	1484
0	9053	1459

Stop Event

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

Compiler

Compiled 355 to 171 computations (51.8% saved)

preprocess59.0ms (0.3%)

Memory: -8.5MiB live, 152.6MiB allocated
Compiler: Compiled 268 to 126 computations (53% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze186.0ms (1%)

sample6.4s (35.6%)

explain432.0ms (2.4%)

preprocess445.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify429.0ms (2.4%)

localize235.0ms (1.3%)

series166.0ms (0.9%)

simplify272.0ms (1.5%)

rewrite285.0ms (1.6%)

eval162.0ms (0.9%)

prune159.0ms (0.9%)

simplify185.0ms (1%)

localize629.0ms (3.5%)

series202.0ms (1.1%)

simplify307.0ms (1.7%)

rewrite295.0ms (1.6%)

eval390.0ms (2.2%)

prune339.0ms (1.9%)

simplify200.0ms (1.1%)

localize714.0ms (4%)

series71.0ms (0.4%)

simplify238.0ms (1.3%)

rewrite305.0ms (1.7%)

eval516.0ms (2.9%)

prune429.0ms (2.4%)

simplify264.0ms (1.5%)

localize393.0ms (2.2%)

series148.0ms (0.8%)

simplify428.0ms (2.4%)

rewrite382.0ms (2.1%)

eval510.0ms (2.8%)

prune526.0ms (2.9%)

regimes103.0ms (0.6%)

regimes41.0ms (0.2%)

regimes39.0ms (0.2%)

regimes20.0ms (0.1%)

regimes16.0ms (0.1%)

regimes7.0ms (0%)

simplify11.0ms (0.1%)

soundness1.0s (5.6%)

preprocess59.0ms (0.3%)

end0.0ms (0%)

Profiling