Metrics for Rust f32::asinh

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.6%	0.4%	0%	0%	0%	0
100%	99.6%	0%	0.4%	0%	0%	0%	1

Compiler

Compiled 4 to 3 computations (25% saved)

sample1.6s (21.1%)

Results

1.6s

8256×

body

256

valid

Bogosity

preprocess69.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

130×	`fma-def`
24×	`unsub-neg`
20×	`sub-neg`
18×	`distribute-lft-in`
18×	`neg-mul-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	47
1	24	41
2	27	41
3	29	41
4	33	41
5	37	41
6	47	41
7	60	41
8	74	41
9	86	41
10	129	41
11	187	41
12	206	41
13	228	41
14	236	41
15	240	41

Stop Event

1×

saturated

Calls

Call 1

Inputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)
(asinh.f32 x)
(asinh.f32 (neg.f32 x))

Outputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x 1)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x))) x)
(asinh.f32 x)
(asinh.f32 (neg.f32 x))

Compiler

Compiled 13 to 9 computations (30.8% saved)

eval2.0ms (0%)

Compiler: Compiled 21 to 13 computations (38.1% saved)

prune5.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.2%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x))) x)
▶	64.2%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x))) x)

Compiler

Compiled 20 to 14 computations (30% saved)

localize249.0ms (3.3%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f32 (fabs.f32 x) (hypot.f32 1 x))
✓	64.2%	(log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x)))

Compiler

Compiled 31 to 18 computations (41.9% saved)

series11.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x)))
4.0ms	x	@	0	(log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x)))
1.0ms	x	@	-inf	(log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x)))
0.0ms	x	@	-inf	(+.f32 (fabs.f32 x) (hypot.f32 1 x))
0.0ms	x	@	inf	(+.f32 (fabs.f32 x) (hypot.f32 1 x))

rewrite220.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1644×	`pow1`
1516×	`add-exp-log`
1516×	`log1p-expm1-u`
1516×	`expm1-log1p-u`
1480×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	179	30
2	2314	30

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

Inputs
(log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x)))
(+.f32 (fabs.f32 x) (hypot.f32 1 x))

Outputs
(+.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(-.f32 (log.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))) (log.f32 (-.f32 x (hypot.f32 1 x))))
(-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(*.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)))
(*.f32 (cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)
(pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))
(-.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) 1)
(-.f32 (/.f32 (.f32 x x) (-.f32 x (hypot.f32 1 x))) (/.f32 (+.f32 1 (.f32 x x)) (-.f32 x (hypot.f32 1 x))))
(*.f32 1 (+.f32 x (hypot.f32 1 x)))
(*.f32 (+.f32 x (hypot.f32 1 x)) 1)
(*.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(.f32 (-.f32 (.f32 x x) (+.f32 1 (*.f32 x x))) (/.f32 1 (-.f32 x (hypot.f32 1 x))))
(/.f32 1 (/.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))) (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))))
(/.f32 1 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (+.f32 1 (.f32 x x)) (-.f32 (.f32 x x) (*.f32 x (hypot.f32 1 x)))))
(/.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x))) (-.f32 x (hypot.f32 1 x)))
(/.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (neg.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(/.f32 (neg.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))) (neg.f32 (-.f32 x (hypot.f32 1 x))))
(/.f32 (-.f32 (+.f32 1 (.f32 x x)) (.f32 x x)) (-.f32 (hypot.f32 1 x) x))
(pow.f32 (+.f32 x (hypot.f32 1 x)) 1)
(pow.f32 (E.f32) (log.f32 (+.f32 x (hypot.f32 1 x))))
(pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 3)
(pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 2)
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2))
(log.f32 (exp.f32 (+.f32 x (hypot.f32 1 x))))
(cbrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(exp.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(log1p.f32 (expm1.f32 (+.f32 x (hypot.f32 1 x))))
(fma.f32 1 x (hypot.f32 1 x))
(fma.f32 1 (hypot.f32 1 x) x)
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (hypot.f32 1 x))
(fma.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)) x)
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (hypot.f32 1 x))
(fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x)

simplify145.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1802×	`fma-def`
1310×	`fma-neg`
744×	`unswap-sqr`
508×	`distribute-lft-in`
496×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	223	2866
1	593	2444
2	1882	2068
3	7770	2064

Stop Event

1×	node limit

Counts

80 → 149

Calls

Call 1

Inputs
(log.f32 (+.f32 1 (fabs.f32 x)))
(+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))) (log.f32 (+.f32 1 (fabs.f32 x))))
(+.f32 (.f32 -1/24 (.f32 (+.f32 (.f32 3 (/.f32 1 (+.f32 1 (fabs.f32 x)))) (.f32 3 (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 2)))) (pow.f32 x 4))) (+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))) (log.f32 (+.f32 1 (fabs.f32 x)))))
(+.f32 (.f32 -1/24 (.f32 (+.f32 (.f32 3 (/.f32 1 (+.f32 1 (fabs.f32 x)))) (.f32 3 (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 2)))) (pow.f32 x 4))) (+.f32 (.f32 1/720 (.f32 (+.f32 (.f32 45 (/.f32 1 (+.f32 1 (fabs.f32 x)))) (+.f32 (.f32 30 (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 3))) (.f32 45 (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 2))))) (pow.f32 x 6))) (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))) (log.f32 (+.f32 1 (fabs.f32 x))))))
(*.f32 -1 (log.f32 (/.f32 1 x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x)))
(+.f32 (.f32 1/6 (/.f32 (+.f32 (.f32 -3 (fabs.f32 x)) (.f32 2 (pow.f32 (fabs.f32 x) 3))) (pow.f32 x 3))) (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x))))
(*.f32 -1 (log.f32 (/.f32 -1 x)))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (.f32 -1 (/.f32 (fabs.f32 x) x)))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (.f32 -1 (/.f32 (fabs.f32 x) x))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (.f32 -1 (/.f32 (fabs.f32 x) x)) (.f32 -1/6 (/.f32 (+.f32 (.f32 2 (pow.f32 (fabs.f32 x) 3)) (*.f32 -3 (fabs.f32 x))) (pow.f32 x 3))))))
(+.f32 1 (fabs.f32 x))
(+.f32 1 (+.f32 (*.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))
(+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (+.f32 (.f32 -1/8 (pow.f32 x 4)) (fabs.f32 x))))
(+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (+.f32 (.f32 1/16 (pow.f32 x 6)) (+.f32 (*.f32 -1/8 (pow.f32 x 4)) (fabs.f32 x)))))
x
(+.f32 (fabs.f32 x) x)
(+.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 (fabs.f32 x) x))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 x)) (+.f32 (fabs.f32 x) x)) (.f32 1/8 (/.f32 1 (pow.f32 x 3))))
(*.f32 -1 x)
(+.f32 (fabs.f32 x) (*.f32 -1 x))
(-.f32 (+.f32 (fabs.f32 x) (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (+.f32 (fabs.f32 x) (.f32 -1 x))) (*.f32 1/2 (/.f32 1 x)))
(+.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(-.f32 (log.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))) (log.f32 (-.f32 x (hypot.f32 1 x))))
(-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(*.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)))
(*.f32 (cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2)) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)
(pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))
(-.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) 1)
(-.f32 (/.f32 (.f32 x x) (-.f32 x (hypot.f32 1 x))) (/.f32 (+.f32 1 (.f32 x x)) (-.f32 x (hypot.f32 1 x))))
(*.f32 1 (+.f32 x (hypot.f32 1 x)))
(*.f32 (+.f32 x (hypot.f32 1 x)) 1)
(*.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(.f32 (-.f32 (.f32 x x) (+.f32 1 (*.f32 x x))) (/.f32 1 (-.f32 x (hypot.f32 1 x))))
(/.f32 1 (/.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))) (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))))
(/.f32 1 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (+.f32 1 (.f32 x x)) (-.f32 (.f32 x x) (*.f32 x (hypot.f32 1 x)))))
(/.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x))) (-.f32 x (hypot.f32 1 x)))
(/.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (neg.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(/.f32 (neg.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))) (neg.f32 (-.f32 x (hypot.f32 1 x))))
(/.f32 (-.f32 (+.f32 1 (.f32 x x)) (.f32 x x)) (-.f32 (hypot.f32 1 x) x))
(pow.f32 (+.f32 x (hypot.f32 1 x)) 1)
(pow.f32 (E.f32) (log.f32 (+.f32 x (hypot.f32 1 x))))
(pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 3)
(pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 2)
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2))
(log.f32 (exp.f32 (+.f32 x (hypot.f32 1 x))))
(cbrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(exp.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(log1p.f32 (expm1.f32 (+.f32 x (hypot.f32 1 x))))
(fma.f32 1 x (hypot.f32 1 x))
(fma.f32 1 (hypot.f32 1 x) x)
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (hypot.f32 1 x))
(fma.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)) x)
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (hypot.f32 1 x))
(fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x)

Outputs
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log1p.f32 x)
(+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))) (log.f32 (+.f32 1 (fabs.f32 x))))
(fma.f32 1/2 (/.f32 (*.f32 x x) (+.f32 1 (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))
(fma.f32 1/2 (/.f32 (*.f32 x x) (+.f32 1 x)) (log1p.f32 x))
(+.f32 (.f32 -1/24 (.f32 (+.f32 (.f32 3 (/.f32 1 (+.f32 1 (fabs.f32 x)))) (.f32 3 (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 2)))) (pow.f32 x 4))) (+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))) (log.f32 (+.f32 1 (fabs.f32 x)))))
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(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (*.f32 x x)))
(/.f32 (neg.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))) (neg.f32 (-.f32 x (hypot.f32 1 x))))
(/.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x))) (-.f32 x (hypot.f32 1 x)))
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(/.f32 (-.f32 (+.f32 1 (.f32 x x)) (.f32 x x)) (-.f32 (hypot.f32 1 x) x))
(/.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x))) (-.f32 x (hypot.f32 1 x)))
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(pow.f32 (+.f32 x (hypot.f32 1 x)) 1)
(+.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (E.f32) (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 3)
(+.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3) 1/3)
(+.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 2)
(+.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2))
(+.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(log.f32 (exp.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(cbrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3))
(+.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(exp.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(log1p.f32 (expm1.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 1 x (hypot.f32 1 x))
(+.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 1 (hypot.f32 1 x) x)
(+.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (hypot.f32 1 x))
(+.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)) x)
(+.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (hypot.f32 1 x))
(+.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x)
(+.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) -1)
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))

eval96.0ms (1.3%)

Compiler: Compiled 2603 to 1683 computations (35.3% saved)

prune60.0ms (0.8%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	130	19	149
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	130	20	150

Accuracy

99.8%

Counts

150 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.7%	(copysign.f32 (fma.f32 (pow.f32 x 4) (+.f32 (/.f32 -1/8 (+.f32 1 x)) (/.f32 -1/8 (pow.f32 (+.f32 1 x) 2))) (fma.f32 1/2 (/.f32 (*.f32 x x) (+.f32 1 x)) (fma.f32 (pow.f32 x 6) (fma.f32 1/720 (+.f32 (/.f32 45 (+.f32 1 x)) (/.f32 30 (pow.f32 (+.f32 1 x) 3))) (/.f32 1/16 (pow.f32 (+.f32 1 x) 2))) (log1p.f32 x)))) x)
	46.1%	(copysign.f32 (fma.f32 (pow.f32 x 4) (+.f32 (/.f32 -1/8 (+.f32 1 x)) (/.f32 -1/8 (pow.f32 (+.f32 1 x) 2))) (fma.f32 1/2 (/.f32 (*.f32 x x) (+.f32 1 x)) (log1p.f32 x))) x)
	47.3%	(copysign.f32 (fma.f32 1/2 (/.f32 (*.f32 x x) (+.f32 1 x)) (log1p.f32 x)) x)
	46.9%	(copysign.f32 (fma.f32 -1/24 (.f32 (+.f32 (/.f32 3 (+.f32 1 (fabs.f32 x))) (/.f32 3 (pow.f32 (+.f32 1 (fabs.f32 x)) 2))) (pow.f32 x 4)) (fma.f32 1/720 (.f32 (+.f32 (/.f32 45 (+.f32 1 (fabs.f32 x))) (+.f32 (/.f32 30 (pow.f32 (+.f32 1 (fabs.f32 x)) 3)) (/.f32 45 (pow.f32 (+.f32 1 (fabs.f32 x)) 2)))) (pow.f32 x 6)) (fma.f32 1/2 (/.f32 (*.f32 x x) (+.f32 1 (fabs.f32 x))) (log1p.f32 (fabs.f32 x))))) x)
	41.5%	(copysign.f32 (-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) x)
	14.8%	(copysign.f32 (+.f32 1 (log.f32 x)) x)
▶	66.3%	(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
	54.1%	(copysign.f32 (log1p.f32 x) x)
	41.3%	(copysign.f32 (log.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x))) x)
	29.3%	(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
✓	64.2%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x))) x)
	41.5%	(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)
▶	28.5%	(copysign.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 1/2 x)))) x)
	28.1%	(copysign.f32 (log.f32 (+.f32 x x)) x)
▶	19.1%	(copysign.f32 (log.f32 (+.f32 1 (fma.f32 x (*.f32 x 1/2) x))) x)
	32.0%	(copysign.f32 (log.f32 (+.f32 1 (fabs.f32 x))) x)
▶	19.9%	(copysign.f32 (log.f32 (+.f32 1 x)) x)
	14.6%	(copysign.f32 (log.f32 (neg.f32 x)) x)
	13.8%	(copysign.f32 (log.f32 x) x)
▶	5.6%	(copysign.f32 (log.f32 0) x)
	45.7%	(copysign.f32 (fma.f32 (pow.f32 x 4) (+.f32 (/.f32 -1/8 (+.f32 1 x)) (/.f32 -1/8 (pow.f32 (+.f32 1 x) 2))) (fma.f32 1/2 (/.f32 (*.f32 x x) (+.f32 1 x)) (fma.f32 (pow.f32 x 6) (fma.f32 1/720 (+.f32 (/.f32 45 (+.f32 1 x)) (/.f32 30 (pow.f32 (+.f32 1 x) 3))) (/.f32 1/16 (pow.f32 (+.f32 1 x) 2))) (log1p.f32 x)))) x)
	46.1%	(copysign.f32 (fma.f32 (pow.f32 x 4) (+.f32 (/.f32 -1/8 (+.f32 1 x)) (/.f32 -1/8 (pow.f32 (+.f32 1 x) 2))) (fma.f32 1/2 (/.f32 (*.f32 x x) (+.f32 1 x)) (log1p.f32 x))) x)
	47.3%	(copysign.f32 (fma.f32 1/2 (/.f32 (*.f32 x x) (+.f32 1 x)) (log1p.f32 x)) x)
	46.9%	(copysign.f32 (fma.f32 -1/24 (.f32 (+.f32 (/.f32 3 (+.f32 1 (fabs.f32 x))) (/.f32 3 (pow.f32 (+.f32 1 (fabs.f32 x)) 2))) (pow.f32 x 4)) (fma.f32 1/720 (.f32 (+.f32 (/.f32 45 (+.f32 1 (fabs.f32 x))) (+.f32 (/.f32 30 (pow.f32 (+.f32 1 (fabs.f32 x)) 3)) (/.f32 45 (pow.f32 (+.f32 1 (fabs.f32 x)) 2)))) (pow.f32 x 6)) (fma.f32 1/2 (/.f32 (*.f32 x x) (+.f32 1 (fabs.f32 x))) (log1p.f32 (fabs.f32 x))))) x)
	41.5%	(copysign.f32 (-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) x)
	14.8%	(copysign.f32 (+.f32 1 (log.f32 x)) x)
▶	66.3%	(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
	54.1%	(copysign.f32 (log1p.f32 x) x)
	41.3%	(copysign.f32 (log.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x))) x)
	29.3%	(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
✓	64.2%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x))) x)
	41.5%	(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)
▶	28.5%	(copysign.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 1/2 x)))) x)
	28.1%	(copysign.f32 (log.f32 (+.f32 x x)) x)
▶	19.1%	(copysign.f32 (log.f32 (+.f32 1 (fma.f32 x (*.f32 x 1/2) x))) x)
	32.0%	(copysign.f32 (log.f32 (+.f32 1 (fabs.f32 x))) x)
▶	19.9%	(copysign.f32 (log.f32 (+.f32 1 x)) x)
	14.6%	(copysign.f32 (log.f32 (neg.f32 x)) x)
	13.8%	(copysign.f32 (log.f32 x) x)
▶	5.6%	(copysign.f32 (log.f32 0) x)

Compiler

Compiled 1172 to 846 computations (27.8% saved)

localize643.0ms (8.5%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	71.8%	(log.f32 (+.f32 1 (fma.f32 x (*.f32 x 1/2) x)))
✓	100.0%	(+.f32 x (+.f32 x (/.f32 1/2 x)))
✓	99.3%	(log.f32 (+.f32 x (+.f32 x (/.f32 1/2 x))))
✓	83.1%	(log.f32 (+.f32 1 x))
✓	100.0%	(log1p.f32 (fabs.f32 x))

Compiler

Compiled 111 to 67 computations (39.6% saved)

series225.0ms (3%)

Counts

5 → 60

Calls

15 calls:

Time	Variable		Point	Expression
93.0ms	x	@	0	(log1p.f32 (fabs.f32 x))
68.0ms	x	@	inf	(log1p.f32 (fabs.f32 x))
49.0ms	x	@	-inf	(log1p.f32 (fabs.f32 x))
4.0ms	x	@	inf	(log.f32 (+.f32 x (+.f32 x (/.f32 1/2 x))))
2.0ms	x	@	0	(log.f32 (+.f32 x (+.f32 x (/.f32 1/2 x))))

rewrite222.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1542×	`fma-def`
660×	`expm1-udef`
654×	`log1p-udef`
602×	`fma-neg`
408×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	79
1	403	71
2	5446	63

Stop Event

1×	node limit

Counts

5 → 161

Calls

Call 1

Inputs
(log1p.f32 (fabs.f32 x))
(log.f32 (+.f32 1 x))
(log.f32 (+.f32 x (+.f32 x (/.f32 1/2 x))))
(+.f32 x (+.f32 x (/.f32 1/2 x)))
(log.f32 (+.f32 1 (fma.f32 x (*.f32 x 1/2) x)))

Outputs
(+.f32 0 (log1p.f32 x))
(+.f32 (log.f32 (sqrt.f32 (+.f32 x 1))) (log.f32 (sqrt.f32 (+.f32 x 1))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x 1)) 2)) (log.f32 (cbrt.f32 (+.f32 x 1))))
(-.f32 (log1p.f32 (pow.f32 x 3)) (log1p.f32 (-.f32 (*.f32 x x) x)))
(-.f32 (log1p.f32 (*.f32 (neg.f32 x) x)) (log1p.f32 (neg.f32 x)))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 x))) 1)
(*.f32 1 (log1p.f32 x))
(*.f32 (log1p.f32 x) 1)
(*.f32 (cbrt.f32 (log1p.f32 x)) (cbrt.f32 (pow.f32 (log1p.f32 x) 2)))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 x) 2)) (cbrt.f32 (log1p.f32 x)))
(*.f32 (sqrt.f32 (log1p.f32 x)) (sqrt.f32 (log1p.f32 x)))
(pow.f32 (log1p.f32 x) 1)
(pow.f32 (cbrt.f32 (log1p.f32 x)) 3)
(pow.f32 (pow.f32 (log1p.f32 x) 3) 1/3)
(pow.f32 (sqrt.f32 (log1p.f32 x)) 2)
(sqrt.f32 (pow.f32 (log1p.f32 x) 2))
(log.f32 (+.f32 x 1))
(cbrt.f32 (pow.f32 (log1p.f32 x) 3))
(expm1.f32 (log1p.f32 (log1p.f32 x)))
(exp.f32 (log.f32 (log1p.f32 x)))
(exp.f32 (*.f32 (log.f32 (log1p.f32 x)) 1))
(+.f32 0 (log1p.f32 x))
(+.f32 (log.f32 (sqrt.f32 (+.f32 x 1))) (log.f32 (sqrt.f32 (+.f32 x 1))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x 1)) 2)) (log.f32 (cbrt.f32 (+.f32 x 1))))
(-.f32 (log1p.f32 (pow.f32 x 3)) (log1p.f32 (-.f32 (*.f32 x x) x)))
(-.f32 (log1p.f32 (*.f32 (neg.f32 x) x)) (log1p.f32 (neg.f32 x)))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 x))) 1)
(*.f32 1 (log1p.f32 x))
(*.f32 (log1p.f32 x) 1)
(*.f32 (cbrt.f32 (log1p.f32 x)) (cbrt.f32 (pow.f32 (log1p.f32 x) 2)))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 x) 2)) (cbrt.f32 (log1p.f32 x)))
(*.f32 (sqrt.f32 (log1p.f32 x)) (sqrt.f32 (log1p.f32 x)))
(pow.f32 (log1p.f32 x) 1)
(pow.f32 (cbrt.f32 (log1p.f32 x)) 3)
(pow.f32 (pow.f32 (log1p.f32 x) 3) 1/3)
(pow.f32 (sqrt.f32 (log1p.f32 x)) 2)
(sqrt.f32 (pow.f32 (log1p.f32 x) 2))
(cbrt.f32 (pow.f32 (log1p.f32 x) 3))
(expm1.f32 (log1p.f32 (log1p.f32 x)))
(exp.f32 (log.f32 (log1p.f32 x)))
(exp.f32 (*.f32 (log.f32 (log1p.f32 x)) 1))
(log1p.f32 x)
(+.f32 0 (log.f32 (fma.f32 x 2 (/.f32 1/2 x))))
(+.f32 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 1/2 x)))) (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 1/2 x)))))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (fma.f32 x 2 (/.f32 1/2 x)) 2))) (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 1/2 x)))))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 x (/.f32 1/2 x)) 2))) (log.f32 (-.f32 (-.f32 x (/.f32 1/2 x)) x)))
(-.f32 (log.f32 (+.f32 (pow.f32 (+.f32 x (/.f32 1/2 x)) 3) (pow.f32 x 3))) (log.f32 (fma.f32 (+.f32 x (/.f32 1/2 x)) (-.f32 (+.f32 x (/.f32 1/2 x)) x) (*.f32 x x))))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x))))) 1)
(*.f32 1 (log.f32 (fma.f32 x 2 (/.f32 1/2 x))))
(*.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x))) 1)
(*.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))) (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))) 2) (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))))
(*.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))) (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))))
(pow.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x))) 1)
(pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))) 3)
(pow.f32 (pow.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x))) 3) 1/3)
(pow.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))) 2)
(sqrt.f32 (pow.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x))) 2))
(cbrt.f32 (pow.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x))) 3))
(expm1.f32 (log1p.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))))
(exp.f32 (log.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))))
(exp.f32 (*.f32 (log.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))) 1))
(log1p.f32 (-.f32 (fma.f32 x 2 (/.f32 1/2 x)) 1))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 x 2 (/.f32 1/2 x)))) 1)
(-.f32 (/.f32 (*.f32 x x) (-.f32 (-.f32 x (/.f32 1/2 x)) x)) (/.f32 (pow.f32 (+.f32 x (/.f32 1/2 x)) 2) (-.f32 (-.f32 x (/.f32 1/2 x)) x)))
(*.f32 1 (fma.f32 x 2 (/.f32 1/2 x)))
(*.f32 (fma.f32 x 2 (/.f32 1/2 x)) 1)
(*.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 1/2 x))) (cbrt.f32 (pow.f32 (fma.f32 x 2 (/.f32 1/2 x)) 2)))
(*.f32 (cbrt.f32 (pow.f32 (fma.f32 x 2 (/.f32 1/2 x)) 2)) (cbrt.f32 (fma.f32 x 2 (/.f32 1/2 x))))
(*.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 1/2 x))) (sqrt.f32 (fma.f32 x 2 (/.f32 1/2 x))))
(.f32 (+.f32 (pow.f32 (+.f32 x (/.f32 1/2 x)) 3) (pow.f32 x 3)) (/.f32 1 (fma.f32 (+.f32 x (/.f32 1/2 x)) (-.f32 (+.f32 x (/.f32 1/2 x)) x) (.f32 x x))))
(.f32 (-.f32 (.f32 x x) (pow.f32 (+.f32 x (/.f32 1/2 x)) 2)) (/.f32 1 (-.f32 (-.f32 x (/.f32 1/2 x)) x)))
(*.f32 2 (cosh.f32 (log.f32 (+.f32 x x))))
(/.f32 1 (/.f32 (fma.f32 (+.f32 x (/.f32 1/2 x)) (-.f32 (+.f32 x (/.f32 1/2 x)) x) (*.f32 x x)) (+.f32 (pow.f32 (+.f32 x (/.f32 1/2 x)) 3) (pow.f32 x 3))))
(/.f32 1 (/.f32 (-.f32 (-.f32 x (/.f32 1/2 x)) x) (-.f32 (*.f32 x x) (pow.f32 (+.f32 x (/.f32 1/2 x)) 2))))
(/.f32 (+.f32 (pow.f32 (+.f32 x (/.f32 1/2 x)) 3) (pow.f32 x 3)) (fma.f32 (+.f32 x (/.f32 1/2 x)) (-.f32 (+.f32 x (/.f32 1/2 x)) x) (*.f32 x x)))
(/.f32 (+.f32 (pow.f32 (+.f32 x (/.f32 1/2 x)) 3) (pow.f32 x 3)) (+.f32 (pow.f32 (+.f32 x (/.f32 1/2 x)) 2) (-.f32 (.f32 x x) (.f32 x (+.f32 x (/.f32 1/2 x))))))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 x (/.f32 1/2 x)) 2)) (-.f32 (-.f32 x (/.f32 1/2 x)) x))
(/.f32 (neg.f32 (+.f32 (pow.f32 (+.f32 x (/.f32 1/2 x)) 3) (pow.f32 x 3))) (neg.f32 (fma.f32 (+.f32 x (/.f32 1/2 x)) (-.f32 (+.f32 x (/.f32 1/2 x)) x) (*.f32 x x))))
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 x (/.f32 1/2 x)) 2))) (neg.f32 (-.f32 (-.f32 x (/.f32 1/2 x)) x)))
(/.f32 (+.f32 (pow.f32 (+.f32 x x) 3) (/.f32 1/8 (pow.f32 x 3))) (fma.f32 (+.f32 x x) (+.f32 x x) (-.f32 (/.f32 1/4 (.f32 x x)) (.f32 (+.f32 x x) (/.f32 1/2 x)))))
(/.f32 (-.f32 (pow.f32 (+.f32 x (/.f32 1/2 x)) 2) (*.f32 x x)) (-.f32 (+.f32 x (/.f32 1/2 x)) x))
(/.f32 (-.f32 (.f32 (+.f32 x x) (+.f32 x x)) (/.f32 1/4 (.f32 x x))) (-.f32 (+.f32 x x) (/.f32 1/2 x)))
(pow.f32 (fma.f32 x 2 (/.f32 1/2 x)) 1)
(pow.f32 (E.f32) (log.f32 (fma.f32 x 2 (/.f32 1/2 x))))
(pow.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 1/2 x))) 3)
(pow.f32 (pow.f32 (fma.f32 x 2 (/.f32 1/2 x)) 3) 1/3)
(pow.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 1/2 x))) 2)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))) 2)) (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x))))) (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))))
(sqrt.f32 (pow.f32 (fma.f32 x 2 (/.f32 1/2 x)) 2))
(log.f32 (exp.f32 (fma.f32 x 2 (/.f32 1/2 x))))
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 x 2 (/.f32 1/2 x)))))
(log.f32 (*.f32 (exp.f32 x) (+.f32 1 (expm1.f32 (+.f32 x (/.f32 1/2 x))))))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 x)) (exp.f32 (+.f32 x (/.f32 1/2 x)))))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 x)) (+.f32 1 (expm1.f32 (+.f32 x (/.f32 1/2 x))))))
(log.f32 (*.f32 (exp.f32 (/.f32 1/2 x)) (exp.f32 (+.f32 x x))))
(log.f32 (.f32 (exp.f32 (/.f32 1/2 x)) (.f32 (exp.f32 x) (exp.f32 x))))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 (/.f32 1/2 x))) (exp.f32 (+.f32 x x))))
(log.f32 (.f32 (+.f32 1 (expm1.f32 (/.f32 1/2 x))) (.f32 (exp.f32 x) (exp.f32 x))))
(log.f32 (*.f32 (exp.f32 (+.f32 x (/.f32 1/2 x))) (+.f32 1 (expm1.f32 x))))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 (+.f32 x (/.f32 1/2 x)))) (exp.f32 x)))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 (+.f32 x (/.f32 1/2 x)))) (+.f32 1 (expm1.f32 x))))
(log.f32 (*.f32 (exp.f32 (+.f32 x x)) (+.f32 1 (expm1.f32 (/.f32 1/2 x)))))
(log.f32 (.f32 (.f32 (exp.f32 x) (exp.f32 x)) (exp.f32 (/.f32 1/2 x))))
(log.f32 (.f32 (.f32 (exp.f32 x) (exp.f32 x)) (+.f32 1 (expm1.f32 (/.f32 1/2 x)))))
(cbrt.f32 (pow.f32 (fma.f32 x 2 (/.f32 1/2 x)) 3))
(expm1.f32 (log1p.f32 (fma.f32 x 2 (/.f32 1/2 x))))
(exp.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x))))
(log1p.f32 (expm1.f32 (fma.f32 x 2 (/.f32 1/2 x))))
(fma.f32 x 1 (+.f32 x (/.f32 1/2 x)))
(fma.f32 x 2 (/.f32 1/2 x))
(fma.f32 1 x (+.f32 x (/.f32 1/2 x)))
(fma.f32 1 (/.f32 1/2 x) (+.f32 x x))
(fma.f32 1 (+.f32 x (/.f32 1/2 x)) x)
(fma.f32 1 (+.f32 x x) (/.f32 1/2 x))
(fma.f32 1/2 (pow.f32 x -1) (+.f32 x x))
(fma.f32 (/.f32 1/2 x) 1 (+.f32 x x))
(fma.f32 (+.f32 x (/.f32 1/2 x)) 1 x)
(fma.f32 (cbrt.f32 (+.f32 x (/.f32 1/2 x))) (cbrt.f32 (pow.f32 (+.f32 x (/.f32 1/2 x)) 2)) x)
(fma.f32 (cbrt.f32 (pow.f32 (+.f32 x (/.f32 1/2 x)) 2)) (cbrt.f32 (+.f32 x (/.f32 1/2 x))) x)
(fma.f32 (cbrt.f32 x) (pow.f32 (cbrt.f32 x) 2) (+.f32 x (/.f32 1/2 x)))
(fma.f32 (cbrt.f32 x) (+.f32 (pow.f32 (cbrt.f32 x) 2) (pow.f32 (cbrt.f32 x) 2)) (/.f32 1/2 x))
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (+.f32 x (/.f32 1/2 x)))
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (+.f32 (cbrt.f32 x) (cbrt.f32 x)) (/.f32 1/2 x))
(fma.f32 (cbrt.f32 (/.f32 1/2 x)) (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2) (+.f32 x x))
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2) (cbrt.f32 (/.f32 1/2 x)) (+.f32 x x))
(fma.f32 (sqrt.f32 (+.f32 x (/.f32 1/2 x))) (sqrt.f32 (+.f32 x (/.f32 1/2 x))) x)
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (+.f32 x (/.f32 1/2 x)))
(fma.f32 (sqrt.f32 x) (+.f32 (sqrt.f32 x) (sqrt.f32 x)) (/.f32 1/2 x))
(fma.f32 (sqrt.f32 (/.f32 1/2 x)) (sqrt.f32 (/.f32 1/2 x)) (+.f32 x x))
(fma.f32 -1/2 (/.f32 1 (neg.f32 x)) (+.f32 x x))
(fma.f32 (+.f32 (/.f32 1/8 (pow.f32 x 3)) (pow.f32 x 3)) (/.f32 1 (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) x) (*.f32 x x))) x)
(fma.f32 (pow.f32 x -1) 1/2 (+.f32 x x))
(fma.f32 (+.f32 x x) 1 (/.f32 1/2 x))
(fma.f32 (-.f32 (.f32 x x) (/.f32 1/4 (.f32 x x))) (/.f32 1 (-.f32 x (/.f32 1/2 x))) x)
(fma.f32 (*.f32 (cbrt.f32 (+.f32 x x)) (cbrt.f32 (+.f32 x x))) (cbrt.f32 (+.f32 x x)) (/.f32 1/2 x))
(fma.f32 (sqrt.f32 (+.f32 x x)) (sqrt.f32 (+.f32 x x)) (/.f32 1/2 x))
(fma.f32 2 x (/.f32 1/2 x))
(fma.f32 (fabs.f32 (pow.f32 (cbrt.f32 x) 2)) (fabs.f32 (cbrt.f32 x)) (+.f32 x (/.f32 1/2 x)))
(+.f32 0 (log1p.f32 (fma.f32 (*.f32 x x) 1/2 x)))
(+.f32 (log.f32 (hypot.f32 1 (sqrt.f32 (fma.f32 (.f32 x x) 1/2 x)))) (log.f32 (hypot.f32 1 (sqrt.f32 (fma.f32 (.f32 x x) 1/2 x)))))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (+.f32 1 (fma.f32 (.f32 x x) 1/2 x)) 2))) (log.f32 (cbrt.f32 (+.f32 1 (fma.f32 (.f32 x x) 1/2 x)))))
(-.f32 (log1p.f32 (pow.f32 (fma.f32 (.f32 x x) 1/2 x) 3)) (log1p.f32 (-.f32 (pow.f32 (fma.f32 (.f32 x x) 1/2 x) 2) (fma.f32 (*.f32 x x) 1/2 x))))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 (.f32 x x) 1/2 x) 2))) (log1p.f32 (neg.f32 (fma.f32 (.f32 x x) 1/2 x))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (fma.f32 (*.f32 x x) 1/2 x)))) 1)
(.f32 1 (log1p.f32 (fma.f32 (.f32 x x) 1/2 x)))
(.f32 (log1p.f32 (fma.f32 (.f32 x x) 1/2 x)) 1)
(.f32 (cbrt.f32 (log1p.f32 (fma.f32 (.f32 x x) 1/2 x))) (cbrt.f32 (pow.f32 (log1p.f32 (fma.f32 (*.f32 x x) 1/2 x)) 2)))
(.f32 (cbrt.f32 (pow.f32 (log1p.f32 (fma.f32 (.f32 x x) 1/2 x)) 2)) (cbrt.f32 (log1p.f32 (fma.f32 (*.f32 x x) 1/2 x))))
(.f32 (sqrt.f32 (log1p.f32 (fma.f32 (.f32 x x) 1/2 x))) (sqrt.f32 (log1p.f32 (fma.f32 (*.f32 x x) 1/2 x))))
(pow.f32 (log1p.f32 (fma.f32 (*.f32 x x) 1/2 x)) 1)
(pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 (*.f32 x x) 1/2 x))) 3)
(pow.f32 (pow.f32 (log1p.f32 (fma.f32 (*.f32 x x) 1/2 x)) 3) 1/3)
(pow.f32 (sqrt.f32 (log1p.f32 (fma.f32 (*.f32 x x) 1/2 x))) 2)
(sqrt.f32 (pow.f32 (log1p.f32 (fma.f32 (*.f32 x x) 1/2 x)) 2))
(cbrt.f32 (pow.f32 (log1p.f32 (fma.f32 (*.f32 x x) 1/2 x)) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (fma.f32 (*.f32 x x) 1/2 x))))
(exp.f32 (log.f32 (log1p.f32 (fma.f32 (*.f32 x x) 1/2 x))))
(exp.f32 (.f32 (log.f32 (log1p.f32 (fma.f32 (.f32 x x) 1/2 x))) 1))
(log1p.f32 (fma.f32 (*.f32 x x) 1/2 x))

simplify131.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1308×	`unswap-sqr`
1162×	`distribute-lft-in`
696×	`times-frac`
538×	`log-prod`
462×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	447	5611
1	1111	5413
2	3361	4991

Stop Event

1×	node limit

Counts

221 → 291

Calls

Call 1

Inputs
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
x
(+.f32 (*.f32 -1/2 (pow.f32 x 2)) x)
(+.f32 (.f32 -1/2 (pow.f32 x 2)) (+.f32 (.f32 1/3 (pow.f32 x 3)) x))
(+.f32 (.f32 -1/2 (pow.f32 x 2)) (+.f32 (.f32 1/3 (pow.f32 x 3)) (+.f32 (*.f32 -1/4 (pow.f32 x 4)) x)))
(*.f32 -1 (log.f32 (/.f32 1 x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 1 x))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 1 x)) (.f32 1/2 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 x 3))) (/.f32 1 x))) (*.f32 1/2 (/.f32 1 (pow.f32 x 2))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 -1) (/.f32 1 x)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 -1) (/.f32 1 x))) (.f32 1/2 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 -1) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 x 3))) (/.f32 1 x)))) (*.f32 1/2 (/.f32 1 (pow.f32 x 2))))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (.f32 4 (pow.f32 x 2)) (+.f32 (log.f32 1/2) (.f32 -1 (log.f32 x))))
(+.f32 (.f32 4 (pow.f32 x 2)) (+.f32 (log.f32 1/2) (+.f32 (.f32 -8 (pow.f32 x 4)) (*.f32 -1 (log.f32 x)))))
(+.f32 (.f32 4 (pow.f32 x 2)) (+.f32 (log.f32 1/2) (+.f32 (.f32 -8 (pow.f32 x 4)) (+.f32 (.f32 64/3 (pow.f32 x 6)) (.f32 -1 (log.f32 x))))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 2) (.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 2) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))) (*.f32 1/32 (/.f32 1 (pow.f32 x 4))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 2) (+.f32 (.f32 1/192 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2)))))) (.f32 1/32 (/.f32 1 (pow.f32 x 4))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (log.f32 -2)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 -2) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))) (*.f32 1/32 (/.f32 1 (pow.f32 x 4))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 -2) (+.f32 (.f32 1/192 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2)))))) (.f32 1/32 (/.f32 1 (pow.f32 x 4))))
(/.f32 1/2 x)
(+.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(+.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(+.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(*.f32 2 x)
(+.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(+.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(+.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(*.f32 2 x)
(+.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(+.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(+.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
x
(+.f32 (*.f32 -1/6 (pow.f32 x 3)) x)
(+.f32 (.f32 -1/6 (pow.f32 x 3)) (+.f32 (.f32 1/8 (pow.f32 x 4)) x))
(+.f32 (.f32 -1/6 (pow.f32 x 3)) (+.f32 (.f32 1/8 (pow.f32 x 4)) (+.f32 (*.f32 -1/20 (pow.f32 x 5)) x)))
(+.f32 (log.f32 1/2) (*.f32 -2 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 1/2) (+.f32 (.f32 -2 (log.f32 (/.f32 1 x))) (.f32 2 (/.f32 1 x))))
(-.f32 (+.f32 (log.f32 1/2) (+.f32 (.f32 -2 (log.f32 (/.f32 1 x))) (.f32 2 (/.f32 1 x)))) (*.f32 4/3 (/.f32 1 (pow.f32 x 3))))
(-.f32 (+.f32 (.f32 2 (/.f32 1 (pow.f32 x 4))) (+.f32 (log.f32 1/2) (+.f32 (.f32 -2 (log.f32 (/.f32 1 x))) (.f32 2 (/.f32 1 x))))) (.f32 4/3 (/.f32 1 (pow.f32 x 3))))
(+.f32 (*.f32 -2 (log.f32 (/.f32 -1 x))) (log.f32 1/2))
(+.f32 (.f32 -2 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 1/2) (.f32 2 (/.f32 1 x))))
(-.f32 (+.f32 (.f32 -2 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 1/2) (.f32 2 (/.f32 1 x)))) (*.f32 4/3 (/.f32 1 (pow.f32 x 3))))
(-.f32 (+.f32 (.f32 -2 (log.f32 (/.f32 -1 x))) (+.f32 (.f32 2 (/.f32 1 (pow.f32 x 4))) (+.f32 (log.f32 1/2) (.f32 2 (/.f32 1 x))))) (.f32 4/3 (/.f32 1 (pow.f32 x 3))))
(+.f32 0 (log1p.f32 x))
(+.f32 (log.f32 (sqrt.f32 (+.f32 x 1))) (log.f32 (sqrt.f32 (+.f32 x 1))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x 1)) 2)) (log.f32 (cbrt.f32 (+.f32 x 1))))
(-.f32 (log1p.f32 (pow.f32 x 3)) (log1p.f32 (-.f32 (*.f32 x x) x)))
(-.f32 (log1p.f32 (*.f32 (neg.f32 x) x)) (log1p.f32 (neg.f32 x)))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 x))) 1)
(*.f32 1 (log1p.f32 x))
(*.f32 (log1p.f32 x) 1)
(*.f32 (cbrt.f32 (log1p.f32 x)) (cbrt.f32 (pow.f32 (log1p.f32 x) 2)))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 x) 2)) (cbrt.f32 (log1p.f32 x)))
(*.f32 (sqrt.f32 (log1p.f32 x)) (sqrt.f32 (log1p.f32 x)))
(pow.f32 (log1p.f32 x) 1)
(pow.f32 (cbrt.f32 (log1p.f32 x)) 3)
(pow.f32 (pow.f32 (log1p.f32 x) 3) 1/3)
(pow.f32 (sqrt.f32 (log1p.f32 x)) 2)
(sqrt.f32 (pow.f32 (log1p.f32 x) 2))
(log.f32 (+.f32 x 1))
(cbrt.f32 (pow.f32 (log1p.f32 x) 3))
(expm1.f32 (log1p.f32 (log1p.f32 x)))
(exp.f32 (log.f32 (log1p.f32 x)))
(exp.f32 (*.f32 (log.f32 (log1p.f32 x)) 1))
(+.f32 0 (log1p.f32 x))
(+.f32 (log.f32 (sqrt.f32 (+.f32 x 1))) (log.f32 (sqrt.f32 (+.f32 x 1))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x 1)) 2)) (log.f32 (cbrt.f32 (+.f32 x 1))))
(-.f32 (log1p.f32 (pow.f32 x 3)) (log1p.f32 (-.f32 (*.f32 x x) x)))
(-.f32 (log1p.f32 (*.f32 (neg.f32 x) x)) (log1p.f32 (neg.f32 x)))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 x))) 1)
(*.f32 1 (log1p.f32 x))
(*.f32 (log1p.f32 x) 1)
(*.f32 (cbrt.f32 (log1p.f32 x)) (cbrt.f32 (pow.f32 (log1p.f32 x) 2)))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 x) 2)) (cbrt.f32 (log1p.f32 x)))
(*.f32 (sqrt.f32 (log1p.f32 x)) (sqrt.f32 (log1p.f32 x)))
(pow.f32 (log1p.f32 x) 1)
(pow.f32 (cbrt.f32 (log1p.f32 x)) 3)
(pow.f32 (pow.f32 (log1p.f32 x) 3) 1/3)
(pow.f32 (sqrt.f32 (log1p.f32 x)) 2)
(sqrt.f32 (pow.f32 (log1p.f32 x) 2))
(cbrt.f32 (pow.f32 (log1p.f32 x) 3))
(expm1.f32 (log1p.f32 (log1p.f32 x)))
(exp.f32 (log.f32 (log1p.f32 x)))
(exp.f32 (*.f32 (log.f32 (log1p.f32 x)) 1))
(log1p.f32 x)
(+.f32 0 (log.f32 (fma.f32 x 2 (/.f32 1/2 x))))
(+.f32 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 1/2 x)))) (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 1/2 x)))))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (fma.f32 x 2 (/.f32 1/2 x)) 2))) (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 1/2 x)))))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 x (/.f32 1/2 x)) 2))) (log.f32 (-.f32 (-.f32 x (/.f32 1/2 x)) x)))
(-.f32 (log.f32 (+.f32 (pow.f32 (+.f32 x (/.f32 1/2 x)) 3) (pow.f32 x 3))) (log.f32 (fma.f32 (+.f32 x (/.f32 1/2 x)) (-.f32 (+.f32 x (/.f32 1/2 x)) x) (*.f32 x x))))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x))))) 1)
(*.f32 1 (log.f32 (fma.f32 x 2 (/.f32 1/2 x))))
(*.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x))) 1)
(*.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))) (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))) 2) (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))))
(*.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))) (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))))
(pow.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x))) 1)
(pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))) 3)
(pow.f32 (pow.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x))) 3) 1/3)
(pow.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))) 2)
(sqrt.f32 (pow.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x))) 2))
(cbrt.f32 (pow.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x))) 3))
(expm1.f32 (log1p.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))))
(exp.f32 (log.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))))
(exp.f32 (*.f32 (log.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))) 1))
(log1p.f32 (-.f32 (fma.f32 x 2 (/.f32 1/2 x)) 1))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 x 2 (/.f32 1/2 x)))) 1)
(-.f32 (/.f32 (*.f32 x x) (-.f32 (-.f32 x (/.f32 1/2 x)) x)) (/.f32 (pow.f32 (+.f32 x (/.f32 1/2 x)) 2) (-.f32 (-.f32 x (/.f32 1/2 x)) x)))
(*.f32 1 (fma.f32 x 2 (/.f32 1/2 x)))
(*.f32 (fma.f32 x 2 (/.f32 1/2 x)) 1)
(*.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 1/2 x))) (cbrt.f32 (pow.f32 (fma.f32 x 2 (/.f32 1/2 x)) 2)))
(*.f32 (cbrt.f32 (pow.f32 (fma.f32 x 2 (/.f32 1/2 x)) 2)) (cbrt.f32 (fma.f32 x 2 (/.f32 1/2 x))))
(*.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 1/2 x))) (sqrt.f32 (fma.f32 x 2 (/.f32 1/2 x))))
(.f32 (+.f32 (pow.f32 (+.f32 x (/.f32 1/2 x)) 3) (pow.f32 x 3)) (/.f32 1 (fma.f32 (+.f32 x (/.f32 1/2 x)) (-.f32 (+.f32 x (/.f32 1/2 x)) x) (.f32 x x))))
(.f32 (-.f32 (.f32 x x) (pow.f32 (+.f32 x (/.f32 1/2 x)) 2)) (/.f32 1 (-.f32 (-.f32 x (/.f32 1/2 x)) x)))
(*.f32 2 (cosh.f32 (log.f32 (+.f32 x x))))
(/.f32 1 (/.f32 (fma.f32 (+.f32 x (/.f32 1/2 x)) (-.f32 (+.f32 x (/.f32 1/2 x)) x) (*.f32 x x)) (+.f32 (pow.f32 (+.f32 x (/.f32 1/2 x)) 3) (pow.f32 x 3))))
(/.f32 1 (/.f32 (-.f32 (-.f32 x (/.f32 1/2 x)) x) (-.f32 (*.f32 x x) (pow.f32 (+.f32 x (/.f32 1/2 x)) 2))))
(/.f32 (+.f32 (pow.f32 (+.f32 x (/.f32 1/2 x)) 3) (pow.f32 x 3)) (fma.f32 (+.f32 x (/.f32 1/2 x)) (-.f32 (+.f32 x (/.f32 1/2 x)) x) (*.f32 x x)))
(/.f32 (+.f32 (pow.f32 (+.f32 x (/.f32 1/2 x)) 3) (pow.f32 x 3)) (+.f32 (pow.f32 (+.f32 x (/.f32 1/2 x)) 2) (-.f32 (.f32 x x) (.f32 x (+.f32 x (/.f32 1/2 x))))))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 x (/.f32 1/2 x)) 2)) (-.f32 (-.f32 x (/.f32 1/2 x)) x))
(/.f32 (neg.f32 (+.f32 (pow.f32 (+.f32 x (/.f32 1/2 x)) 3) (pow.f32 x 3))) (neg.f32 (fma.f32 (+.f32 x (/.f32 1/2 x)) (-.f32 (+.f32 x (/.f32 1/2 x)) x) (*.f32 x x))))
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 x (/.f32 1/2 x)) 2))) (neg.f32 (-.f32 (-.f32 x (/.f32 1/2 x)) x)))
(/.f32 (+.f32 (pow.f32 (+.f32 x x) 3) (/.f32 1/8 (pow.f32 x 3))) (fma.f32 (+.f32 x x) (+.f32 x x) (-.f32 (/.f32 1/4 (.f32 x x)) (.f32 (+.f32 x x) (/.f32 1/2 x)))))
(/.f32 (-.f32 (pow.f32 (+.f32 x (/.f32 1/2 x)) 2) (*.f32 x x)) (-.f32 (+.f32 x (/.f32 1/2 x)) x))
(/.f32 (-.f32 (.f32 (+.f32 x x) (+.f32 x x)) (/.f32 1/4 (.f32 x x))) (-.f32 (+.f32 x x) (/.f32 1/2 x)))
(pow.f32 (fma.f32 x 2 (/.f32 1/2 x)) 1)
(pow.f32 (E.f32) (log.f32 (fma.f32 x 2 (/.f32 1/2 x))))
(pow.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 1/2 x))) 3)
(pow.f32 (pow.f32 (fma.f32 x 2 (/.f32 1/2 x)) 3) 1/3)
(pow.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 1/2 x))) 2)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))) 2)) (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x))))) (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))))
(sqrt.f32 (pow.f32 (fma.f32 x 2 (/.f32 1/2 x)) 2))
(log.f32 (exp.f32 (fma.f32 x 2 (/.f32 1/2 x))))
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 x 2 (/.f32 1/2 x)))))
(log.f32 (*.f32 (exp.f32 x) (+.f32 1 (expm1.f32 (+.f32 x (/.f32 1/2 x))))))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 x)) (exp.f32 (+.f32 x (/.f32 1/2 x)))))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 x)) (+.f32 1 (expm1.f32 (+.f32 x (/.f32 1/2 x))))))
(log.f32 (*.f32 (exp.f32 (/.f32 1/2 x)) (exp.f32 (+.f32 x x))))
(log.f32 (.f32 (exp.f32 (/.f32 1/2 x)) (.f32 (exp.f32 x) (exp.f32 x))))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 (/.f32 1/2 x))) (exp.f32 (+.f32 x x))))
(log.f32 (.f32 (+.f32 1 (expm1.f32 (/.f32 1/2 x))) (.f32 (exp.f32 x) (exp.f32 x))))
(log.f32 (*.f32 (exp.f32 (+.f32 x (/.f32 1/2 x))) (+.f32 1 (expm1.f32 x))))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 (+.f32 x (/.f32 1/2 x)))) (exp.f32 x)))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 (+.f32 x (/.f32 1/2 x)))) (+.f32 1 (expm1.f32 x))))
(log.f32 (*.f32 (exp.f32 (+.f32 x x)) (+.f32 1 (expm1.f32 (/.f32 1/2 x)))))
(log.f32 (.f32 (.f32 (exp.f32 x) (exp.f32 x)) (exp.f32 (/.f32 1/2 x))))
(log.f32 (.f32 (.f32 (exp.f32 x) (exp.f32 x)) (+.f32 1 (expm1.f32 (/.f32 1/2 x)))))
(cbrt.f32 (pow.f32 (fma.f32 x 2 (/.f32 1/2 x)) 3))
(expm1.f32 (log1p.f32 (fma.f32 x 2 (/.f32 1/2 x))))
(exp.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x))))
(log1p.f32 (expm1.f32 (fma.f32 x 2 (/.f32 1/2 x))))
(fma.f32 x 1 (+.f32 x (/.f32 1/2 x)))
(fma.f32 x 2 (/.f32 1/2 x))
(fma.f32 1 x (+.f32 x (/.f32 1/2 x)))
(fma.f32 1 (/.f32 1/2 x) (+.f32 x x))
(fma.f32 1 (+.f32 x (/.f32 1/2 x)) x)
(fma.f32 1 (+.f32 x x) (/.f32 1/2 x))
(fma.f32 1/2 (pow.f32 x -1) (+.f32 x x))
(fma.f32 (/.f32 1/2 x) 1 (+.f32 x x))
(fma.f32 (+.f32 x (/.f32 1/2 x)) 1 x)
(fma.f32 (cbrt.f32 (+.f32 x (/.f32 1/2 x))) (cbrt.f32 (pow.f32 (+.f32 x (/.f32 1/2 x)) 2)) x)
(fma.f32 (cbrt.f32 (pow.f32 (+.f32 x (/.f32 1/2 x)) 2)) (cbrt.f32 (+.f32 x (/.f32 1/2 x))) x)
(fma.f32 (cbrt.f32 x) (pow.f32 (cbrt.f32 x) 2) (+.f32 x (/.f32 1/2 x)))
(fma.f32 (cbrt.f32 x) (+.f32 (pow.f32 (cbrt.f32 x) 2) (pow.f32 (cbrt.f32 x) 2)) (/.f32 1/2 x))
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (+.f32 x (/.f32 1/2 x)))
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (+.f32 (cbrt.f32 x) (cbrt.f32 x)) (/.f32 1/2 x))
(fma.f32 (cbrt.f32 (/.f32 1/2 x)) (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2) (+.f32 x x))
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2) (cbrt.f32 (/.f32 1/2 x)) (+.f32 x x))
(fma.f32 (sqrt.f32 (+.f32 x (/.f32 1/2 x))) (sqrt.f32 (+.f32 x (/.f32 1/2 x))) x)
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (+.f32 x (/.f32 1/2 x)))
(fma.f32 (sqrt.f32 x) (+.f32 (sqrt.f32 x) (sqrt.f32 x)) (/.f32 1/2 x))
(fma.f32 (sqrt.f32 (/.f32 1/2 x)) (sqrt.f32 (/.f32 1/2 x)) (+.f32 x x))
(fma.f32 -1/2 (/.f32 1 (neg.f32 x)) (+.f32 x x))
(fma.f32 (+.f32 (/.f32 1/8 (pow.f32 x 3)) (pow.f32 x 3)) (/.f32 1 (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) x) (*.f32 x x))) x)
(fma.f32 (pow.f32 x -1) 1/2 (+.f32 x x))
(fma.f32 (+.f32 x x) 1 (/.f32 1/2 x))
(fma.f32 (-.f32 (.f32 x x) (/.f32 1/4 (.f32 x x))) (/.f32 1 (-.f32 x (/.f32 1/2 x))) x)
(fma.f32 (*.f32 (cbrt.f32 (+.f32 x x)) (cbrt.f32 (+.f32 x x))) (cbrt.f32 (+.f32 x x)) (/.f32 1/2 x))
(fma.f32 (sqrt.f32 (+.f32 x x)) (sqrt.f32 (+.f32 x x)) (/.f32 1/2 x))
(fma.f32 2 x (/.f32 1/2 x))
(fma.f32 (fabs.f32 (pow.f32 (cbrt.f32 x) 2)) (fabs.f32 (cbrt.f32 x)) (+.f32 x (/.f32 1/2 x)))
(+.f32 0 (log1p.f32 (fma.f32 (*.f32 x x) 1/2 x)))
(+.f32 (log.f32 (hypot.f32 1 (sqrt.f32 (fma.f32 (.f32 x x) 1/2 x)))) (log.f32 (hypot.f32 1 (sqrt.f32 (fma.f32 (.f32 x x) 1/2 x)))))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (+.f32 1 (fma.f32 (.f32 x x) 1/2 x)) 2))) (log.f32 (cbrt.f32 (+.f32 1 (fma.f32 (.f32 x x) 1/2 x)))))
(-.f32 (log1p.f32 (pow.f32 (fma.f32 (.f32 x x) 1/2 x) 3)) (log1p.f32 (-.f32 (pow.f32 (fma.f32 (.f32 x x) 1/2 x) 2) (fma.f32 (*.f32 x x) 1/2 x))))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 (.f32 x x) 1/2 x) 2))) (log1p.f32 (neg.f32 (fma.f32 (.f32 x x) 1/2 x))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (fma.f32 (*.f32 x x) 1/2 x)))) 1)
(.f32 1 (log1p.f32 (fma.f32 (.f32 x x) 1/2 x)))
(.f32 (log1p.f32 (fma.f32 (.f32 x x) 1/2 x)) 1)
(.f32 (cbrt.f32 (log1p.f32 (fma.f32 (.f32 x x) 1/2 x))) (cbrt.f32 (pow.f32 (log1p.f32 (fma.f32 (*.f32 x x) 1/2 x)) 2)))
(.f32 (cbrt.f32 (pow.f32 (log1p.f32 (fma.f32 (.f32 x x) 1/2 x)) 2)) (cbrt.f32 (log1p.f32 (fma.f32 (*.f32 x x) 1/2 x))))
(.f32 (sqrt.f32 (log1p.f32 (fma.f32 (.f32 x x) 1/2 x))) (sqrt.f32 (log1p.f32 (fma.f32 (*.f32 x x) 1/2 x))))
(pow.f32 (log1p.f32 (fma.f32 (*.f32 x x) 1/2 x)) 1)
(pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 (*.f32 x x) 1/2 x))) 3)
(pow.f32 (pow.f32 (log1p.f32 (fma.f32 (*.f32 x x) 1/2 x)) 3) 1/3)
(pow.f32 (sqrt.f32 (log1p.f32 (fma.f32 (*.f32 x x) 1/2 x))) 2)
(sqrt.f32 (pow.f32 (log1p.f32 (fma.f32 (*.f32 x x) 1/2 x)) 2))
(cbrt.f32 (pow.f32 (log1p.f32 (fma.f32 (*.f32 x x) 1/2 x)) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (fma.f32 (*.f32 x x) 1/2 x))))
(exp.f32 (log.f32 (log1p.f32 (fma.f32 (*.f32 x x) 1/2 x))))
(exp.f32 (.f32 (log.f32 (log1p.f32 (fma.f32 (.f32 x x) 1/2 x))) 1))
(log1p.f32 (fma.f32 (*.f32 x x) 1/2 x))

Outputs
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log1p.f32 x)
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log1p.f32 x)
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log1p.f32 x)
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log1p.f32 x)
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log1p.f32 x)
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log1p.f32 x)
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log1p.f32 x)
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log1p.f32 x)
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log1p.f32 x)
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log1p.f32 x)
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log1p.f32 x)
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log1p.f32 x)
x
(+.f32 (*.f32 -1/2 (pow.f32 x 2)) x)
(fma.f32 -1/2 (*.f32 x x) x)
(+.f32 (.f32 -1/2 (pow.f32 x 2)) (+.f32 (.f32 1/3 (pow.f32 x 3)) x))
(fma.f32 -1/2 (*.f32 x x) (fma.f32 1/3 (pow.f32 x 3) x))
(+.f32 (.f32 -1/2 (pow.f32 x 2)) (+.f32 (.f32 1/3 (pow.f32 x 3)) (+.f32 (*.f32 -1/4 (pow.f32 x 4)) x)))
(fma.f32 -1/2 (*.f32 x x) (fma.f32 1/3 (pow.f32 x 3) (fma.f32 -1/4 (pow.f32 x 4) x)))
(*.f32 -1 (log.f32 (/.f32 1 x)))
(neg.f32 (neg.f32 (log.f32 x)))
(log.f32 x)
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 1 x))
(fma.f32 -1 (neg.f32 (log.f32 x)) (/.f32 1 x))
(+.f32 (pow.f32 x -1) (log.f32 x))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 1 x)) (.f32 1/2 (/.f32 1 (pow.f32 x 2))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (/.f32 1 x)) (/.f32 1/2 (*.f32 x x)))
(-.f32 (+.f32 (pow.f32 x -1) (log.f32 x)) (/.f32 1/2 (*.f32 x x)))
(+.f32 (pow.f32 x -1) (-.f32 (log.f32 x) (/.f32 (/.f32 1/2 x) x)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 x 3))) (/.f32 1 x))) (*.f32 1/2 (/.f32 1 (pow.f32 x 2))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (+.f32 (/.f32 1 x) (/.f32 1/3 (pow.f32 x 3)))) (/.f32 1/2 (*.f32 x x)))
(+.f32 (+.f32 (pow.f32 x -1) (/.f32 1/3 (pow.f32 x 3))) (-.f32 (log.f32 x) (/.f32 1/2 (*.f32 x x))))
(+.f32 (+.f32 (pow.f32 x -1) (/.f32 1/3 (pow.f32 x 3))) (-.f32 (log.f32 x) (/.f32 (/.f32 1/2 x) x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1))
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 -1))
(-.f32 (log.f32 -1) (log.f32 (/.f32 -1 x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 -1) (/.f32 1 x)))
(+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 -1)) (/.f32 1 x))
(-.f32 (+.f32 (pow.f32 x -1) (log.f32 -1)) (log.f32 (/.f32 -1 x)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 -1) (/.f32 1 x))) (.f32 1/2 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 -1)) (/.f32 1 x)) (/.f32 1/2 (*.f32 x x)))
(+.f32 (-.f32 (+.f32 (pow.f32 x -1) (log.f32 -1)) (log.f32 (/.f32 -1 x))) (/.f32 -1/2 (*.f32 x x)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 -1) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 x 3))) (/.f32 1 x)))) (*.f32 1/2 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 -1)) (+.f32 (/.f32 1 x) (/.f32 1/3 (pow.f32 x 3)))) (/.f32 1/2 (*.f32 x x)))
(+.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 x))) (+.f32 (pow.f32 x -1) (-.f32 (/.f32 1/3 (pow.f32 x 3)) (/.f32 1/2 (*.f32 x x)))))
(-.f32 (+.f32 (+.f32 (/.f32 1/3 (pow.f32 x 3)) (log.f32 -1)) (-.f32 (pow.f32 x -1) (/.f32 (/.f32 1/2 x) x))) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (neg.f32 (log.f32 x)) (log.f32 1/2))
(-.f32 (log.f32 1/2) (log.f32 x))
(+.f32 (.f32 4 (pow.f32 x 2)) (+.f32 (log.f32 1/2) (.f32 -1 (log.f32 x))))
(fma.f32 4 (*.f32 x x) (+.f32 (neg.f32 (log.f32 x)) (log.f32 1/2)))
(-.f32 (fma.f32 4 (*.f32 x x) (log.f32 1/2)) (log.f32 x))
(+.f32 (.f32 4 (pow.f32 x 2)) (+.f32 (log.f32 1/2) (+.f32 (.f32 -8 (pow.f32 x 4)) (*.f32 -1 (log.f32 x)))))
(fma.f32 4 (*.f32 x x) (+.f32 (log.f32 1/2) (fma.f32 -8 (pow.f32 x 4) (neg.f32 (log.f32 x)))))
(+.f32 (fma.f32 (pow.f32 x 4) -8 (neg.f32 (log.f32 x))) (fma.f32 4 (*.f32 x x) (log.f32 1/2)))
(+.f32 (-.f32 (fma.f32 4 (.f32 x x) (log.f32 1/2)) (log.f32 x)) (.f32 (pow.f32 x 4) -8))
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(fma.f32 (*.f32 (cbrt.f32 (+.f32 x x)) (cbrt.f32 (+.f32 x x))) (cbrt.f32 (+.f32 x x)) (/.f32 1/2 x))
(fma.f32 x 2 (/.f32 1/2 x))
(fma.f32 (sqrt.f32 (+.f32 x x)) (sqrt.f32 (+.f32 x x)) (/.f32 1/2 x))
(fma.f32 x 2 (/.f32 1/2 x))
(fma.f32 2 x (/.f32 1/2 x))
(fma.f32 x 2 (/.f32 1/2 x))
(fma.f32 (fabs.f32 (pow.f32 (cbrt.f32 x) 2)) (fabs.f32 (cbrt.f32 x)) (+.f32 x (/.f32 1/2 x)))
(fma.f32 x 2 (/.f32 1/2 x))
(+.f32 0 (log1p.f32 (fma.f32 (*.f32 x x) 1/2 x)))
(log1p.f32 (fma.f32 (*.f32 x x) 1/2 x))
(+.f32 (log.f32 (hypot.f32 1 (sqrt.f32 (fma.f32 (.f32 x x) 1/2 x)))) (log.f32 (hypot.f32 1 (sqrt.f32 (fma.f32 (.f32 x x) 1/2 x)))))
(.f32 2 (log.f32 (hypot.f32 1 (sqrt.f32 (fma.f32 (.f32 x x) 1/2 x)))))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (+.f32 1 (fma.f32 (.f32 x x) 1/2 x)) 2))) (log.f32 (cbrt.f32 (+.f32 1 (fma.f32 (.f32 x x) 1/2 x)))))
(-.f32 (log1p.f32 (pow.f32 (fma.f32 (.f32 x x) 1/2 x) 3)) (log1p.f32 (-.f32 (pow.f32 (fma.f32 (.f32 x x) 1/2 x) 2) (fma.f32 (*.f32 x x) 1/2 x))))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 (.f32 x x) 1/2 x) 2))) (log1p.f32 (neg.f32 (fma.f32 (.f32 x x) 1/2 x))))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 (.f32 x x) 1/2 x) 2))) (log1p.f32 (-.f32 (.f32 x (*.f32 x -1/2)) x)))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (fma.f32 (*.f32 x x) 1/2 x)))) 1)
(log1p.f32 (fma.f32 (*.f32 x x) 1/2 x))
(.f32 1 (log1p.f32 (fma.f32 (.f32 x x) 1/2 x)))
(log1p.f32 (fma.f32 (*.f32 x x) 1/2 x))
(.f32 (log1p.f32 (fma.f32 (.f32 x x) 1/2 x)) 1)
(log1p.f32 (fma.f32 (*.f32 x x) 1/2 x))
(.f32 (cbrt.f32 (log1p.f32 (fma.f32 (.f32 x x) 1/2 x))) (cbrt.f32 (pow.f32 (log1p.f32 (fma.f32 (*.f32 x x) 1/2 x)) 2)))
(.f32 (cbrt.f32 (pow.f32 (log1p.f32 (fma.f32 (.f32 x x) 1/2 x)) 2)) (cbrt.f32 (log1p.f32 (fma.f32 (*.f32 x x) 1/2 x))))
(.f32 (cbrt.f32 (log1p.f32 (fma.f32 (.f32 x x) 1/2 x))) (cbrt.f32 (pow.f32 (log1p.f32 (fma.f32 (*.f32 x x) 1/2 x)) 2)))
(.f32 (sqrt.f32 (log1p.f32 (fma.f32 (.f32 x x) 1/2 x))) (sqrt.f32 (log1p.f32 (fma.f32 (*.f32 x x) 1/2 x))))
(log1p.f32 (fma.f32 (*.f32 x x) 1/2 x))
(pow.f32 (log1p.f32 (fma.f32 (*.f32 x x) 1/2 x)) 1)
(log1p.f32 (fma.f32 (*.f32 x x) 1/2 x))
(pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 (*.f32 x x) 1/2 x))) 3)
(log1p.f32 (fma.f32 (*.f32 x x) 1/2 x))
(pow.f32 (pow.f32 (log1p.f32 (fma.f32 (*.f32 x x) 1/2 x)) 3) 1/3)
(log1p.f32 (fma.f32 (*.f32 x x) 1/2 x))
(pow.f32 (sqrt.f32 (log1p.f32 (fma.f32 (*.f32 x x) 1/2 x))) 2)
(log1p.f32 (fma.f32 (*.f32 x x) 1/2 x))
(sqrt.f32 (pow.f32 (log1p.f32 (fma.f32 (*.f32 x x) 1/2 x)) 2))
(log1p.f32 (fma.f32 (*.f32 x x) 1/2 x))
(cbrt.f32 (pow.f32 (log1p.f32 (fma.f32 (*.f32 x x) 1/2 x)) 3))
(log1p.f32 (fma.f32 (*.f32 x x) 1/2 x))
(expm1.f32 (log1p.f32 (log1p.f32 (fma.f32 (*.f32 x x) 1/2 x))))
(log1p.f32 (fma.f32 (*.f32 x x) 1/2 x))
(exp.f32 (log.f32 (log1p.f32 (fma.f32 (*.f32 x x) 1/2 x))))
(log1p.f32 (fma.f32 (*.f32 x x) 1/2 x))
(exp.f32 (.f32 (log.f32 (log1p.f32 (fma.f32 (.f32 x x) 1/2 x))) 1))
(log1p.f32 (fma.f32 (*.f32 x x) 1/2 x))
(log1p.f32 (fma.f32 (*.f32 x x) 1/2 x))

eval145.0ms (1.9%)

Compiler: Compiled 4755 to 3157 computations (33.6% saved)

prune71.0ms (0.9%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	288	3	291
Fresh	5	9	14
Picked	4	1	5
Done	0	1	1
Total	297	14	311

Accuracy

100.0%

Counts

311 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.7%	(copysign.f32 (fma.f32 (pow.f32 x 4) (+.f32 (/.f32 -1/8 (+.f32 1 x)) (/.f32 -1/8 (pow.f32 (+.f32 1 x) 2))) (fma.f32 1/2 (/.f32 (*.f32 x x) (+.f32 1 x)) (fma.f32 (pow.f32 x 6) (fma.f32 1/720 (+.f32 (/.f32 45 (+.f32 1 x)) (/.f32 30 (pow.f32 (+.f32 1 x) 3))) (/.f32 1/16 (pow.f32 (+.f32 1 x) 2))) (log1p.f32 x)))) x)
	46.9%	(copysign.f32 (fma.f32 -1/24 (.f32 (+.f32 (/.f32 3 (+.f32 1 (fabs.f32 x))) (/.f32 3 (pow.f32 (+.f32 1 (fabs.f32 x)) 2))) (pow.f32 x 4)) (fma.f32 1/720 (.f32 (+.f32 (/.f32 45 (+.f32 1 (fabs.f32 x))) (+.f32 (/.f32 30 (pow.f32 (+.f32 1 (fabs.f32 x)) 3)) (/.f32 45 (pow.f32 (+.f32 1 (fabs.f32 x)) 2)))) (pow.f32 x 6)) (fma.f32 1/2 (/.f32 (*.f32 x x) (+.f32 1 (fabs.f32 x))) (log1p.f32 (fabs.f32 x))))) x)
	41.5%	(copysign.f32 (-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) x)
	49.5%	(copysign.f32 (+.f32 (*.f32 -1/6 (pow.f32 x 3)) x) x)
▶	54.1%	(copysign.f32 (log1p.f32 x) x)
	41.3%	(copysign.f32 (log.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x))) x)
▶	28.4%	(copysign.f32 (log.f32 (/.f32 1/2 x)) x)
	29.3%	(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
✓	64.2%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x))) x)
▶	41.5%	(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)
✓	28.5%	(copysign.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 1/2 x)))) x)
▶	14.6%	(copysign.f32 (log.f32 (neg.f32 x)) x)
	13.8%	(copysign.f32 (log.f32 x) x)
▶	50.6%	(copysign.f32 x x)
	45.7%	(copysign.f32 (fma.f32 (pow.f32 x 4) (+.f32 (/.f32 -1/8 (+.f32 1 x)) (/.f32 -1/8 (pow.f32 (+.f32 1 x) 2))) (fma.f32 1/2 (/.f32 (*.f32 x x) (+.f32 1 x)) (fma.f32 (pow.f32 x 6) (fma.f32 1/720 (+.f32 (/.f32 45 (+.f32 1 x)) (/.f32 30 (pow.f32 (+.f32 1 x) 3))) (/.f32 1/16 (pow.f32 (+.f32 1 x) 2))) (log1p.f32 x)))) x)
	46.9%	(copysign.f32 (fma.f32 -1/24 (.f32 (+.f32 (/.f32 3 (+.f32 1 (fabs.f32 x))) (/.f32 3 (pow.f32 (+.f32 1 (fabs.f32 x)) 2))) (pow.f32 x 4)) (fma.f32 1/720 (.f32 (+.f32 (/.f32 45 (+.f32 1 (fabs.f32 x))) (+.f32 (/.f32 30 (pow.f32 (+.f32 1 (fabs.f32 x)) 3)) (/.f32 45 (pow.f32 (+.f32 1 (fabs.f32 x)) 2)))) (pow.f32 x 6)) (fma.f32 1/2 (/.f32 (*.f32 x x) (+.f32 1 (fabs.f32 x))) (log1p.f32 (fabs.f32 x))))) x)
	41.5%	(copysign.f32 (-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) x)
	49.5%	(copysign.f32 (+.f32 (*.f32 -1/6 (pow.f32 x 3)) x) x)
▶	54.1%	(copysign.f32 (log1p.f32 x) x)
	41.3%	(copysign.f32 (log.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x))) x)
▶	28.4%	(copysign.f32 (log.f32 (/.f32 1/2 x)) x)
	29.3%	(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
✓	64.2%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x))) x)
▶	41.5%	(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)
✓	28.5%	(copysign.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 1/2 x)))) x)
▶	14.6%	(copysign.f32 (log.f32 (neg.f32 x)) x)
	13.8%	(copysign.f32 (log.f32 x) x)
▶	50.6%	(copysign.f32 x x)

Compiler

Compiled 846 to 616 computations (27.2% saved)

localize264.0ms (3.5%)

Compiler: Compiled 63 to 33 computations (47.6% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune43.0ms (0.6%)

Pruning

14 alts after pruning (7 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	7	7
Picked	5	5
Done	2	2
Total	14	14

Accuracy

100.0%

Counts

14 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.7%	(copysign.f32 (fma.f32 (pow.f32 x 4) (+.f32 (/.f32 -1/8 (+.f32 1 x)) (/.f32 -1/8 (pow.f32 (+.f32 1 x) 2))) (fma.f32 1/2 (/.f32 (*.f32 x x) (+.f32 1 x)) (fma.f32 (pow.f32 x 6) (fma.f32 1/720 (+.f32 (/.f32 45 (+.f32 1 x)) (/.f32 30 (pow.f32 (+.f32 1 x) 3))) (/.f32 1/16 (pow.f32 (+.f32 1 x) 2))) (log1p.f32 x)))) x)
	46.9%	(copysign.f32 (fma.f32 -1/24 (.f32 (+.f32 (/.f32 3 (+.f32 1 (fabs.f32 x))) (/.f32 3 (pow.f32 (+.f32 1 (fabs.f32 x)) 2))) (pow.f32 x 4)) (fma.f32 1/720 (.f32 (+.f32 (/.f32 45 (+.f32 1 (fabs.f32 x))) (+.f32 (/.f32 30 (pow.f32 (+.f32 1 (fabs.f32 x)) 3)) (/.f32 45 (pow.f32 (+.f32 1 (fabs.f32 x)) 2)))) (pow.f32 x 6)) (fma.f32 1/2 (/.f32 (*.f32 x x) (+.f32 1 (fabs.f32 x))) (log1p.f32 (fabs.f32 x))))) x)
▶	41.5%	(copysign.f32 (-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) x)
▶	49.5%	(copysign.f32 (+.f32 (*.f32 -1/6 (pow.f32 x 3)) x) x)
✓	54.1%	(copysign.f32 (log1p.f32 x) x)
▶	41.3%	(copysign.f32 (log.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x))) x)
✓	28.4%	(copysign.f32 (log.f32 (/.f32 1/2 x)) x)
▶	29.3%	(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
✓	64.2%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x))) x)
✓	41.5%	(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)
✓	28.5%	(copysign.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 1/2 x)))) x)
✓	14.6%	(copysign.f32 (log.f32 (neg.f32 x)) x)
▶	13.8%	(copysign.f32 (log.f32 x) x)
✓	50.6%	(copysign.f32 x x)
	45.7%	(copysign.f32 (fma.f32 (pow.f32 x 4) (+.f32 (/.f32 -1/8 (+.f32 1 x)) (/.f32 -1/8 (pow.f32 (+.f32 1 x) 2))) (fma.f32 1/2 (/.f32 (*.f32 x x) (+.f32 1 x)) (fma.f32 (pow.f32 x 6) (fma.f32 1/720 (+.f32 (/.f32 45 (+.f32 1 x)) (/.f32 30 (pow.f32 (+.f32 1 x) 3))) (/.f32 1/16 (pow.f32 (+.f32 1 x) 2))) (log1p.f32 x)))) x)
	46.9%	(copysign.f32 (fma.f32 -1/24 (.f32 (+.f32 (/.f32 3 (+.f32 1 (fabs.f32 x))) (/.f32 3 (pow.f32 (+.f32 1 (fabs.f32 x)) 2))) (pow.f32 x 4)) (fma.f32 1/720 (.f32 (+.f32 (/.f32 45 (+.f32 1 (fabs.f32 x))) (+.f32 (/.f32 30 (pow.f32 (+.f32 1 (fabs.f32 x)) 3)) (/.f32 45 (pow.f32 (+.f32 1 (fabs.f32 x)) 2)))) (pow.f32 x 6)) (fma.f32 1/2 (/.f32 (*.f32 x x) (+.f32 1 (fabs.f32 x))) (log1p.f32 (fabs.f32 x))))) x)
▶	41.5%	(copysign.f32 (-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) x)
▶	49.5%	(copysign.f32 (+.f32 (*.f32 -1/6 (pow.f32 x 3)) x) x)
✓	54.1%	(copysign.f32 (log1p.f32 x) x)
▶	41.3%	(copysign.f32 (log.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x))) x)
✓	28.4%	(copysign.f32 (log.f32 (/.f32 1/2 x)) x)
▶	29.3%	(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
✓	64.2%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x))) x)
✓	41.5%	(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)
✓	28.5%	(copysign.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 1/2 x)))) x)
✓	14.6%	(copysign.f32 (log.f32 (neg.f32 x)) x)
▶	13.8%	(copysign.f32 (log.f32 x) x)
✓	50.6%	(copysign.f32 x x)

Compiler

Compiled 784 to 576 computations (26.5% saved)

localize346.0ms (4.6%)

Compiler: Compiled 132 to 90 computations (31.8% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune15.0ms (0.2%)

Pruning

14 alts after pruning (2 fresh and 12 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	5	5
Done	7	7
Total	14	14

Accuracy

100.0%

Counts

14 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.7%	(copysign.f32 (fma.f32 (pow.f32 x 4) (+.f32 (/.f32 -1/8 (+.f32 1 x)) (/.f32 -1/8 (pow.f32 (+.f32 1 x) 2))) (fma.f32 1/2 (/.f32 (*.f32 x x) (+.f32 1 x)) (fma.f32 (pow.f32 x 6) (fma.f32 1/720 (+.f32 (/.f32 45 (+.f32 1 x)) (/.f32 30 (pow.f32 (+.f32 1 x) 3))) (/.f32 1/16 (pow.f32 (+.f32 1 x) 2))) (log1p.f32 x)))) x)
	46.9%	(copysign.f32 (fma.f32 -1/24 (.f32 (+.f32 (/.f32 3 (+.f32 1 (fabs.f32 x))) (/.f32 3 (pow.f32 (+.f32 1 (fabs.f32 x)) 2))) (pow.f32 x 4)) (fma.f32 1/720 (.f32 (+.f32 (/.f32 45 (+.f32 1 (fabs.f32 x))) (+.f32 (/.f32 30 (pow.f32 (+.f32 1 (fabs.f32 x)) 3)) (/.f32 45 (pow.f32 (+.f32 1 (fabs.f32 x)) 2)))) (pow.f32 x 6)) (fma.f32 1/2 (/.f32 (*.f32 x x) (+.f32 1 (fabs.f32 x))) (log1p.f32 (fabs.f32 x))))) x)
✓	41.5%	(copysign.f32 (-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) x)
✓	49.5%	(copysign.f32 (+.f32 (*.f32 -1/6 (pow.f32 x 3)) x) x)
✓	54.1%	(copysign.f32 (log1p.f32 x) x)
✓	41.3%	(copysign.f32 (log.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x))) x)
✓	28.4%	(copysign.f32 (log.f32 (/.f32 1/2 x)) x)
✓	29.3%	(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
✓	64.2%	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x))) x)
✓	41.5%	(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)
✓	28.5%	(copysign.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 1/2 x)))) x)
✓	14.6%	(copysign.f32 (log.f32 (neg.f32 x)) x)
✓	13.8%	(copysign.f32 (log.f32 x) x)
✓	50.6%	(copysign.f32 x x)

Compiler

Compiled 531 to 363 computations (31.6% saved)

regimes109.0ms (1.4%)

Counts

24 → 3

Calls

Call 1

Inputs
(copysign.f32 x x)
(copysign.f32 (log.f32 0) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 1 x)) x)
(copysign.f32 (log.f32 (+.f32 x x)) x)
(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
(copysign.f32 (log.f32 (/.f32 1/2 x)) x)
(copysign.f32 (+.f32 1 (log.f32 x)) x)
(copysign.f32 (+.f32 (*.f32 -1/6 (pow.f32 x 3)) x) x)
(copysign.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 1/2 x)))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 1 (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)
(copysign.f32 (log.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x))) x)
(copysign.f32 (log.f32 (+.f32 1 (fma.f32 x (*.f32 x 1/2) x))) x)
(copysign.f32 (-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) x)
(copysign.f32 (fma.f32 1/2 (/.f32 (*.f32 x x) (+.f32 1 x)) (log1p.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)
(copysign.f32 (fma.f32 (pow.f32 x 4) (+.f32 (/.f32 -1/8 (+.f32 1 x)) (/.f32 -1/8 (pow.f32 (+.f32 1 x) 2))) (fma.f32 1/2 (/.f32 (*.f32 x x) (+.f32 1 x)) (log1p.f32 x))) x)
(copysign.f32 (fma.f32 (pow.f32 x 4) (+.f32 (/.f32 -1/8 (+.f32 1 x)) (/.f32 -1/8 (pow.f32 (+.f32 1 x) 2))) (fma.f32 1/2 (/.f32 (*.f32 x x) (+.f32 1 x)) (fma.f32 (pow.f32 x 6) (fma.f32 1/720 (+.f32 (/.f32 45 (+.f32 1 x)) (/.f32 30 (pow.f32 (+.f32 1 x) 3))) (/.f32 1/16 (pow.f32 (+.f32 1 x) 2))) (log1p.f32 x)))) x)
(copysign.f32 (fma.f32 -1/24 (.f32 (+.f32 (/.f32 3 (+.f32 1 (fabs.f32 x))) (/.f32 3 (pow.f32 (+.f32 1 (fabs.f32 x)) 2))) (pow.f32 x 4)) (fma.f32 1/720 (.f32 (+.f32 (/.f32 45 (+.f32 1 (fabs.f32 x))) (+.f32 (/.f32 30 (pow.f32 (+.f32 1 (fabs.f32 x)) 3)) (/.f32 45 (pow.f32 (+.f32 1 (fabs.f32 x)) 2)))) (pow.f32 x 6)) (fma.f32 1/2 (/.f32 (*.f32 x x) (+.f32 1 (fabs.f32 x))) (log1p.f32 (fabs.f32 x))))) x)

Outputs

(copysign.f32 (log.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x))) x)

(copysign.f32 (fma.f32 -1/24 (*.f32 (+.f32 (/.f32 3 (+.f32 1 (fabs.f32 x))) (/.f32 3 (pow.f32 (+.f32 1 (fabs.f32 x)) 2))) (pow.f32 x 4)) (fma.f32 1/720 (*.f32 (+.f32 (/.f32 45 (+.f32 1 (fabs.f32 x))) (+.f32 (/.f32 30 (pow.f32 (+.f32 1 (fabs.f32 x)) 3)) (/.f32 45 (pow.f32 (+.f32 1 (fabs.f32 x)) 2)))) (pow.f32 x 6)) (fma.f32 1/2 (/.f32 (*.f32 x x) (+.f32 1 (fabs.f32 x))) (log1p.f32 (fabs.f32 x))))) x)

(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)

Calls

2 calls:

36.0ms	x
21.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)

Results

Accuracy	Segments	Branch
99.6%	3	`x`
99.6%	3	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)`

Compiler

Compiled 324 to 212 computations (34.6% saved)

regimes75.0ms (1%)

Counts

23 → 3

Calls

Call 1

Inputs
(copysign.f32 x x)
(copysign.f32 (log.f32 0) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 1 x)) x)
(copysign.f32 (log.f32 (+.f32 x x)) x)
(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
(copysign.f32 (log.f32 (/.f32 1/2 x)) x)
(copysign.f32 (+.f32 1 (log.f32 x)) x)
(copysign.f32 (+.f32 (*.f32 -1/6 (pow.f32 x 3)) x) x)
(copysign.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 1/2 x)))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 1 (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)
(copysign.f32 (log.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x))) x)
(copysign.f32 (log.f32 (+.f32 1 (fma.f32 x (*.f32 x 1/2) x))) x)
(copysign.f32 (-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) x)
(copysign.f32 (fma.f32 1/2 (/.f32 (*.f32 x x) (+.f32 1 x)) (log1p.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)
(copysign.f32 (fma.f32 (pow.f32 x 4) (+.f32 (/.f32 -1/8 (+.f32 1 x)) (/.f32 -1/8 (pow.f32 (+.f32 1 x) 2))) (fma.f32 1/2 (/.f32 (*.f32 x x) (+.f32 1 x)) (log1p.f32 x))) x)
(copysign.f32 (fma.f32 (pow.f32 x 4) (+.f32 (/.f32 -1/8 (+.f32 1 x)) (/.f32 -1/8 (pow.f32 (+.f32 1 x) 2))) (fma.f32 1/2 (/.f32 (*.f32 x x) (+.f32 1 x)) (fma.f32 (pow.f32 x 6) (fma.f32 1/720 (+.f32 (/.f32 45 (+.f32 1 x)) (/.f32 30 (pow.f32 (+.f32 1 x) 3))) (/.f32 1/16 (pow.f32 (+.f32 1 x) 2))) (log1p.f32 x)))) x)

Outputs
(copysign.f32 (log.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x))) x)
(copysign.f32 (+.f32 (*.f32 -1/6 (pow.f32 x 3)) x) x)
(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)

Calls

2 calls:

53.0ms	x
16.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)

Results

Accuracy	Segments	Branch
99.5%	3	`x`
99.5%	3	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)`

Compiler

Compiled 258 to 167 computations (35.3% saved)

regimes29.0ms (0.4%)

Counts

15 → 3

Calls

Call 1

Inputs
(copysign.f32 x x)
(copysign.f32 (log.f32 0) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 1 x)) x)
(copysign.f32 (log.f32 (+.f32 x x)) x)
(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
(copysign.f32 (log.f32 (/.f32 1/2 x)) x)
(copysign.f32 (+.f32 1 (log.f32 x)) x)
(copysign.f32 (+.f32 (*.f32 -1/6 (pow.f32 x 3)) x) x)
(copysign.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 1/2 x)))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 1 (fabs.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)

Outputs
(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
(copysign.f32 (+.f32 (*.f32 -1/6 (pow.f32 x 3)) x) x)
(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)

Calls

1 calls:

26.0ms

Results

Accuracy	Segments	Branch
97.9%	3	`x`

Compiler

Compiled 92 to 55 computations (40.2% saved)

regimes65.0ms (0.9%)

Counts

14 → 3

Calls

Call 1

Inputs
(copysign.f32 x x)
(copysign.f32 (log.f32 0) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 1 x)) x)
(copysign.f32 (log.f32 (+.f32 x x)) x)
(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
(copysign.f32 (log.f32 (/.f32 1/2 x)) x)
(copysign.f32 (+.f32 1 (log.f32 x)) x)
(copysign.f32 (+.f32 (*.f32 -1/6 (pow.f32 x 3)) x) x)
(copysign.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 1/2 x)))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 1 (fabs.f32 x))) x)

Outputs
(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
(copysign.f32 (+.f32 (*.f32 -1/6 (pow.f32 x 3)) x) x)
(copysign.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 1/2 x)))) x)

Calls

1 calls:

61.0ms

Results

Accuracy	Segments	Branch
97.9%	3	`x`

Compiler

Compiled 84 to 50 computations (40.5% saved)

regimes137.0ms (1.8%)

Counts

11 → 3

Calls

Call 1

Inputs
(copysign.f32 x x)
(copysign.f32 (log.f32 0) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 1 x)) x)
(copysign.f32 (log.f32 (+.f32 x x)) x)
(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
(copysign.f32 (log.f32 (/.f32 1/2 x)) x)
(copysign.f32 (+.f32 1 (log.f32 x)) x)
(copysign.f32 (+.f32 (*.f32 -1/6 (pow.f32 x 3)) x) x)

Outputs
(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
(copysign.f32 (+.f32 (*.f32 -1/6 (pow.f32 x 3)) x) x)
(copysign.f32 (log.f32 (/.f32 1/2 x)) x)

Calls

1 calls:

131.0ms

Results

Accuracy	Segments	Branch
97.8%	3	`x`

Compiler

Compiled 62 to 37 computations (40.3% saved)

regimes41.0ms (0.5%)

Counts

10 → 3

Calls

Call 1

Inputs
(copysign.f32 x x)
(copysign.f32 (log.f32 0) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 1 x)) x)
(copysign.f32 (log.f32 (+.f32 x x)) x)
(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
(copysign.f32 (log.f32 (/.f32 1/2 x)) x)
(copysign.f32 (+.f32 1 (log.f32 x)) x)

Outputs
(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
(copysign.f32 x x)
(copysign.f32 (log.f32 (/.f32 1/2 x)) x)

Calls

1 calls:

39.0ms

Results

Accuracy	Segments	Branch
97.0%	3	`x`

Compiler

Compiled 53 to 31 computations (41.5% saved)

regimes18.0ms (0.2%)

Counts

8 → 3

Calls

Call 1

Inputs
(copysign.f32 x x)
(copysign.f32 (log.f32 0) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 1 x)) x)
(copysign.f32 (log.f32 (+.f32 x x)) x)
(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)

Outputs
(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
(copysign.f32 x x)
(copysign.f32 (log.f32 (+.f32 x x)) x)

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
96.7%	3	`x`

Compiler

Compiled 41 to 24 computations (41.5% saved)

regimes16.0ms (0.2%)

Counts

7 → 3

Calls

Call 1

Inputs
(copysign.f32 x x)
(copysign.f32 (log.f32 0) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 1 x)) x)
(copysign.f32 (log.f32 (+.f32 x x)) x)

Outputs
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 x x)
(copysign.f32 (log.f32 (+.f32 x x)) x)

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
82.0%	3	`x`

Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes50.0ms (0.7%)

Counts

6 → 2

Calls

Call 1

Inputs
(copysign.f32 x x)
(copysign.f32 (log.f32 0) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 1 x)) x)

Outputs
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log1p.f32 x) x)

Calls

1 calls:

48.0ms

Results

Accuracy	Segments	Branch
66.2%	2	`x`

Compiler

Compiled 29 to 17 computations (41.4% saved)

regimes8.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

Inputs
(copysign.f32 x x)
(copysign.f32 (log.f32 0) x)
(copysign.f32 (log.f32 x) x)
(copysign.f32 (log1p.f32 x) x)

Outputs
(copysign.f32 x x)
(copysign.f32 (log1p.f32 x) x)

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
59.1%	2	`x`

Compiler

Compiled 18 to 10 computations (44.4% saved)

regimes7.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

Inputs
(copysign.f32 x x)
(copysign.f32 (log.f32 0) x)
(copysign.f32 (log.f32 x) x)

Outputs
(copysign.f32 x x)
(copysign.f32 (log.f32 x) x)

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
59.1%	2	`x`

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes48.0ms (0.6%)

Accuracy

Total -14.4b remaining (-91.1%)

Threshold costs -14.4b (-91.1%)

Counts

2 → 1

Calls

Call 1

Inputs
(copysign.f32 x x)
(copysign.f32 (log.f32 0) x)

Outputs
(copysign.f32 x x)

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
50.6%	1	`x`

Compiler

Compiled 10 to 6 computations (40% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.00874936394393444	3.201270818710327
0.0ms	-1.036546230316162	-0.1456989198923111

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.00874936394393444	3.201270818710327
0.0ms	-0.06229742616415024	-0.01594190113246441

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.008749440312385559	12.26150894165039
0.0ms	-9.185887336730957	-3.1025993824005127

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.008749440312385559	12.26150894165039
0.0ms	-9.185887336730957	-3.1025993824005127

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.008749440312385559	12.26150894165039
0.0ms	-9.185887336730957	-3.1025993824005127

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.008749440312385559	12.26150894165039
0.0ms	-3.1025993824005127	-1.232392430305481

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.008749440312385559	12.26150894165039
0.0ms	-3.1025993824005127	-1.232392430305481

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.008749440312385559	12.26150894165039
0.0ms	-9.185887336730957	-3.1025993824005127

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	-1.232392430305481	-0.14621494710445404

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.008749440312385559	12.26150894165039

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.008749440312385559	12.26150894165039

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify59.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

24×	`+-commutative`
8×	`*-commutative`
4×	`sub-neg`
2×	`1-exp`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	1030
1	129	1030
2	132	1030
3	133	1030

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))) x) -1) (copysign.f32 (log.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))) x) 5368709/536870912) (copysign.f32 (fma.f32 -1/24 (.f32 (+.f32 (/.f32 3 (+.f32 1 (fabs.f32 x))) (/.f32 3 (pow.f32 (+.f32 1 (fabs.f32 x)) 2))) (pow.f32 x 4)) (fma.f32 1/720 (.f32 (+.f32 (/.f32 45 (+.f32 1 (fabs.f32 x))) (+.f32 (/.f32 30 (pow.f32 (+.f32 1 (fabs.f32 x)) 3)) (/.f32 45 (pow.f32 (+.f32 1 (fabs.f32 x)) 2)))) (pow.f32 x 6)) (fma.f32 1/2 (/.f32 (*.f32 x x) (+.f32 1 (fabs.f32 x))) (log1p.f32 (fabs.f32 x))))) x) (copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))) x) -13421773/268435456) (copysign.f32 (log.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))) x) 5368709/536870912) (copysign.f32 (+.f32 (*.f32 -1/6 (pow.f32 x 3)) x) x) (copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)))
(if (<=.f32 x -5) (copysign.f32 (log.f32 (/.f32 -1/2 x)) x) (if (<=.f32 x 5368709/536870912) (copysign.f32 (+.f32 (*.f32 -1/6 (pow.f32 x 3)) x) x) (copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)))
(if (<=.f32 x -5) (copysign.f32 (log.f32 (/.f32 -1/2 x)) x) (if (<=.f32 x 5368709/536870912) (copysign.f32 (+.f32 (*.f32 -1/6 (pow.f32 x 3)) x) x) (copysign.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 1/2 x)))) x)))
(if (<=.f32 x -5) (copysign.f32 (log.f32 (/.f32 -1/2 x)) x) (if (<=.f32 x 5368709/536870912) (copysign.f32 (+.f32 (*.f32 -1/6 (pow.f32 x 3)) x) x) (copysign.f32 (log.f32 (/.f32 1/2 x)) x)))
(if (<=.f32 x -2) (copysign.f32 (log.f32 (/.f32 -1/2 x)) x) (if (<=.f32 x 5368709/536870912) (copysign.f32 x x) (copysign.f32 (log.f32 (/.f32 1/2 x)) x)))
(if (<=.f32 x -2) (copysign.f32 (log.f32 (/.f32 -1/2 x)) x) (if (<=.f32 x 5368709/536870912) (copysign.f32 x x) (copysign.f32 (log.f32 (+.f32 x x)) x)))
(if (<=.f32 x -5) (copysign.f32 (log.f32 (neg.f32 x)) x) (if (<=.f32 x 5368709/536870912) (copysign.f32 x x) (copysign.f32 (log.f32 (+.f32 x x)) x)))
(if (<=.f32 x -1) (copysign.f32 (log.f32 (neg.f32 x)) x) (copysign.f32 (log1p.f32 x) x))
(if (<=.f32 x 5368709/536870912) (copysign.f32 x x) (copysign.f32 (log1p.f32 x) x))
(if (<=.f32 x 5368709/536870912) (copysign.f32 x x) (copysign.f32 (log.f32 x) x))
(copysign.f32 x x)

Outputs
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))) x) -1) (copysign.f32 (log.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))) x) 5368709/536870912) (copysign.f32 (fma.f32 -1/24 (.f32 (+.f32 (/.f32 3 (+.f32 1 (fabs.f32 x))) (/.f32 3 (pow.f32 (+.f32 1 (fabs.f32 x)) 2))) (pow.f32 x 4)) (fma.f32 1/720 (.f32 (+.f32 (/.f32 45 (+.f32 1 (fabs.f32 x))) (+.f32 (/.f32 30 (pow.f32 (+.f32 1 (fabs.f32 x)) 3)) (/.f32 45 (pow.f32 (+.f32 1 (fabs.f32 x)) 2)))) (pow.f32 x 6)) (fma.f32 1/2 (/.f32 (*.f32 x x) (+.f32 1 (fabs.f32 x))) (log1p.f32 (fabs.f32 x))))) x) (copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))) x) -1) (copysign.f32 (log.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))) x) 5368709/536870912) (copysign.f32 (fma.f32 -1/24 (.f32 (+.f32 (/.f32 3 (+.f32 (fabs.f32 x) 1)) (/.f32 3 (pow.f32 (+.f32 (fabs.f32 x) 1) 2))) (pow.f32 x 4)) (fma.f32 1/720 (.f32 (+.f32 (/.f32 45 (+.f32 (fabs.f32 x) 1)) (+.f32 (/.f32 30 (pow.f32 (+.f32 (fabs.f32 x) 1) 3)) (/.f32 45 (pow.f32 (+.f32 (fabs.f32 x) 1) 2)))) (pow.f32 x 6)) (fma.f32 1/2 (/.f32 (*.f32 x x) (+.f32 (fabs.f32 x) 1)) (log1p.f32 (fabs.f32 x))))) x) (copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))) x) -13421773/268435456) (copysign.f32 (log.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))) x) 5368709/536870912) (copysign.f32 (+.f32 (*.f32 -1/6 (pow.f32 x 3)) x) x) (copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))) x) -13421773/268435456) (copysign.f32 (log.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (.f32 x x) 1)))) x) 5368709/536870912) (copysign.f32 (+.f32 x (*.f32 -1/6 (pow.f32 x 3))) x) (copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)))
(if (<=.f32 x -5) (copysign.f32 (log.f32 (/.f32 -1/2 x)) x) (if (<=.f32 x 5368709/536870912) (copysign.f32 (+.f32 (*.f32 -1/6 (pow.f32 x 3)) x) x) (copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)))
(if (<=.f32 x -5) (copysign.f32 (log.f32 (/.f32 -1/2 x)) x) (if (<=.f32 x 5368709/536870912) (copysign.f32 (+.f32 x (*.f32 -1/6 (pow.f32 x 3))) x) (copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)))
(if (<=.f32 x -5) (copysign.f32 (log.f32 (/.f32 -1/2 x)) x) (if (<=.f32 x 5368709/536870912) (copysign.f32 (+.f32 (*.f32 -1/6 (pow.f32 x 3)) x) x) (copysign.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 1/2 x)))) x)))
(if (<=.f32 x -5) (copysign.f32 (log.f32 (/.f32 -1/2 x)) x) (if (<=.f32 x 5368709/536870912) (copysign.f32 (+.f32 x (*.f32 -1/6 (pow.f32 x 3))) x) (copysign.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 1/2 x)))) x)))
(if (<=.f32 x -5) (copysign.f32 (log.f32 (/.f32 -1/2 x)) x) (if (<=.f32 x 5368709/536870912) (copysign.f32 (+.f32 (*.f32 -1/6 (pow.f32 x 3)) x) x) (copysign.f32 (log.f32 (/.f32 1/2 x)) x)))
(if (<=.f32 x -5) (copysign.f32 (log.f32 (/.f32 -1/2 x)) x) (if (<=.f32 x 5368709/536870912) (copysign.f32 (+.f32 x (*.f32 -1/6 (pow.f32 x 3))) x) (copysign.f32 (log.f32 (/.f32 1/2 x)) x)))
(if (<=.f32 x -2) (copysign.f32 (log.f32 (/.f32 -1/2 x)) x) (if (<=.f32 x 5368709/536870912) (copysign.f32 x x) (copysign.f32 (log.f32 (/.f32 1/2 x)) x)))
(if (<=.f32 x -2) (copysign.f32 (log.f32 (/.f32 -1/2 x)) x) (if (<=.f32 x 5368709/536870912) (copysign.f32 x x) (copysign.f32 (log.f32 (+.f32 x x)) x)))
(if (<=.f32 x -5) (copysign.f32 (log.f32 (neg.f32 x)) x) (if (<=.f32 x 5368709/536870912) (copysign.f32 x x) (copysign.f32 (log.f32 (+.f32 x x)) x)))
(if (<=.f32 x -1) (copysign.f32 (log.f32 (neg.f32 x)) x) (copysign.f32 (log1p.f32 x) x))
(if (<=.f32 x 5368709/536870912) (copysign.f32 x x) (copysign.f32 (log1p.f32 x) x))
(if (<=.f32 x 5368709/536870912) (copysign.f32 x x) (copysign.f32 (log.f32 x) x))
(copysign.f32 x x)

Compiler

Compiled 382 to 254 computations (33.5% saved)

soundness2.0s (26.3%)

Rules

1802×	`fma-def`
1802×	`fma-def`
1802×	`fma-def`
1802×	`fma-def`
1802×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	47
1	24	41
2	27	41
3	29	41
4	33	41
5	37	41
6	47	41
7	60	41
8	74	41
9	86	41
10	129	41
11	187	41
12	206	41
13	228	41
14	236	41
15	240	41
0	9	38
1	179	30
2	2314	30
0	223	2866
1	593	2444
2	1882	2068
3	7770	2064
0	223	2866
1	593	2444
2	1882	2068
3	7770	2064
0	9	38
1	179	30
2	2314	30
0	223	2866
1	593	2444
2	1882	2068
3	7770	2064
0	223	2866
1	593	2444
2	1882	2068
3	7770	2064
0	223	2866
1	593	2444
2	1882	2068
3	7770	2064
0	223	2866
1	593	2444
2	1882	2068
3	7770	2064
0	223	2866
1	593	2444
2	1882	2068
3	7770	2064
0	223	2866
1	593	2444
2	1882	2068
3	7770	2064
0	223	2866
1	593	2444
2	1882	2068
3	7770	2064
0	223	2866
1	593	2444
2	1882	2068
3	7770	2064
0	223	2866
1	593	2444
2	1882	2068
3	7770	2064

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 2157 to 1471 computations (31.8% saved)

end1.0ms (0%)

preprocess361.0ms (4.8%)

Compiler: Compiled 810 to 500 computations (38.3% saved)

Iter	Nodes	Cost
0	15	47
1	24	41
2	27	41
3	29	41
4	33	41
5	37	41
6	47	41
7	60	41
8	74	41
9	86	41
10	129	41
11	187	41
12	206	41
13	228	41
14	236	41
15	240	41

Iter	Nodes	Cost
0	15	47
1	24	41
2	27	41
3	29	41
4	33	41
5	37	41
6	47	41
7	60	41
8	74	41
9	86	41
10	129	41
11	187	41
12	206	41
13	228	41
14	236	41
15	240	41

analyze0.0ms (0%)

sample1.6s (21.1%)

preprocess69.0ms (0.9%)

eval2.0ms (0%)

prune5.0ms (0.1%)

localize249.0ms (3.3%)

series11.0ms (0.2%)

rewrite220.0ms (2.9%)

simplify145.0ms (1.9%)

eval96.0ms (1.3%)

prune60.0ms (0.8%)

localize643.0ms (8.5%)

series225.0ms (3%)

rewrite222.0ms (2.9%)

simplify131.0ms (1.7%)

eval145.0ms (1.9%)

prune71.0ms (0.9%)

localize264.0ms (3.5%)

eval0.0ms (0%)

prune43.0ms (0.6%)

localize346.0ms (4.6%)

eval0.0ms (0%)

prune15.0ms (0.2%)

regimes109.0ms (1.4%)

regimes75.0ms (1%)

regimes29.0ms (0.4%)

regimes65.0ms (0.9%)

regimes137.0ms (1.8%)

regimes41.0ms (0.5%)

regimes18.0ms (0.2%)

regimes16.0ms (0.2%)

regimes50.0ms (0.7%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes48.0ms (0.6%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify59.0ms (0.8%)

soundness2.0s (26.3%)

end1.0ms (0%)

preprocess361.0ms (4.8%)

Profiling

Iter	Nodes	Cost
0	15	47
1	24	41
2	27	41
3	29	41
4	33	41
5	37	41
6	47	41
7	60	41
8	74	41
9	86	41
10	129	41
11	187	41
12	206	41
13	228	41
14	236	41
15	240	41