Metrics for Rust f64::asinh

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 4 to 3 computations (25% saved)

sample856.0ms (10.4%)

Results

842.0ms

8256×

body

256

valid

Bogosity

preprocess34.0ms (0.4%)

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.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
(asinh.f64 x)
(asinh.f64 (neg.f64 x))

Outputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x 1)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
(asinh.f64 x)
(asinh.f64 (neg.f64 x))

Compiler

Compiled 13 to 9 computations (30.8% saved)

eval2.0ms (0%)

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

prune4.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.2%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
▶	54.2%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)

Compiler

Compiled 20 to 14 computations (30% saved)

localize170.0ms (2.1%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (fabs.f64 x) (hypot.f64 1 x))
✓	54.2%	(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))

Compiler

Compiled 31 to 18 computations (41.9% saved)

series8.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
2.0ms	x	@	inf	(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
1.0ms	x	@	-inf	(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
0.0ms	x	@	-inf	(+.f64 (fabs.f64 x) (hypot.f64 1 x))
0.0ms	x	@	inf	(+.f64 (fabs.f64 x) (hypot.f64 1 x))

rewrite132.0ms (1.6%)

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.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
(+.f64 (fabs.f64 x) (hypot.f64 1 x))

Outputs
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (.f64 x x)) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(.f64 (-.f64 (.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (.f64 x x)) (-.f64 (.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)

simplify96.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1854×	`fma-def`
744×	`unswap-sqr`
660×	`associate-+r+`
596×	`associate-+l+`
496×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	229	2890
1	608	2460
2	1980	2092

Stop Event

1×	node limit

Counts

80 → 150

Calls

Call 1

Inputs
(log.f64 (+.f64 1 (fabs.f64 x)))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (+.f64 (.f64 -1/24 (.f64 (pow.f64 x 4) (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (+.f64 (.f64 -1/24 (.f64 (pow.f64 x 4) (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))))) (+.f64 (.f64 1/720 (.f64 (pow.f64 x 6) (+.f64 (.f64 30 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 3))) (+.f64 (.f64 45 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (.f64 45 (/.f64 1 (+.f64 1 (fabs.f64 x)))))))) (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (/.f64 (fabs.f64 x) x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -3 (fabs.f64 x)) (.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (/.f64 (fabs.f64 x) x))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (fabs.f64 x) x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 -1 (/.f64 (fabs.f64 x) x)) (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 -1 (/.f64 (fabs.f64 x) x)) (+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 -3 (fabs.f64 x)) (.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3))) (.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))))))
(+.f64 1 (fabs.f64 x))
(+.f64 1 (+.f64 (fabs.f64 x) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (fabs.f64 x) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (fabs.f64 x) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (+.f64 (.f64 1/16 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))))
x
(+.f64 x (fabs.f64 x))
(+.f64 x (+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 x (+.f64 (fabs.f64 x) (.f64 1/2 (/.f64 1 x)))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(*.f64 -1 x)
(+.f64 (fabs.f64 x) (*.f64 -1 x))
(-.f64 (+.f64 (fabs.f64 x) (.f64 -1 x)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (+.f64 (.f64 -1 x) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (.f64 x x)) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(.f64 (-.f64 (.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (.f64 x x)) (-.f64 (.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)

Outputs
(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log1p.f64 x)
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))
(+.f64 (log1p.f64 (fabs.f64 x)) (.f64 1/2 (/.f64 (.f64 x x) (+.f64 1 (fabs.f64 x)))))
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(fma.f64 1/2 (/.f64 x (/.f64 (+.f64 1 x) x)) (log1p.f64 x))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (+.f64 (.f64 -1/24 (.f64 (pow.f64 x 4) (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))))
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(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))

eval125.0ms (1.5%)

Compiler: Compiled 2662 to 1726 computations (35.2% saved)

prune99.0ms (1.2%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	133	17	150
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	134	17	151

Accuracy

100.0%

Counts

151 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.3%	(copysign.f64 (fma.f64 (pow.f64 x 4) (*.f64 -1/24 (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2)))) (fma.f64 1/2 (/.f64 x (/.f64 (+.f64 1 x) x)) (log1p.f64 x))) x)
▶	51.5%	(copysign.f64 (fma.f64 1/2 (/.f64 x (/.f64 (+.f64 1 x) x)) (log1p.f64 x)) x)
	30.0%	(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
	50.7%	(copysign.f64 (+.f64 (log1p.f64 x) (fma.f64 1/2 (/.f64 x (/.f64 (+.f64 1 x) x)) (fma.f64 -1/24 (.f64 (pow.f64 x 4) (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2)))) (.f64 (pow.f64 x 6) (*.f64 1/720 (+.f64 (/.f64 30 (pow.f64 (+.f64 1 x) 3)) (+.f64 (/.f64 45 (pow.f64 (+.f64 1 x) 2)) (/.f64 45 (+.f64 1 x))))))))) x)
	6.2%	(copysign.f64 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (+.f64 (.f64 -1/24 (.f64 (pow.f64 x 4) (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))) x)
	9.5%	(copysign.f64 (+.f64 1 (log.f64 x)) x)
▶	64.9%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
	57.0%	(copysign.f64 (log1p.f64 x) x)
	30.7%	(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
	26.4%	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
	25.6%	(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)
	30.0%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
▶	25.6%	(copysign.f64 (log.f64 (+.f64 x x)) x)
▶	19.8%	(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
	11.9%	(copysign.f64 (log.f64 (+.f64 1 x)) x)
	9.3%	(copysign.f64 (log.f64 (neg.f64 x)) x)
▶	2.7%	(copysign.f64 (log.f64 0) x)
	51.3%	(copysign.f64 (fma.f64 (pow.f64 x 4) (*.f64 -1/24 (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2)))) (fma.f64 1/2 (/.f64 x (/.f64 (+.f64 1 x) x)) (log1p.f64 x))) x)
▶	51.5%	(copysign.f64 (fma.f64 1/2 (/.f64 x (/.f64 (+.f64 1 x) x)) (log1p.f64 x)) x)
	30.0%	(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
	50.7%	(copysign.f64 (+.f64 (log1p.f64 x) (fma.f64 1/2 (/.f64 x (/.f64 (+.f64 1 x) x)) (fma.f64 -1/24 (.f64 (pow.f64 x 4) (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2)))) (.f64 (pow.f64 x 6) (*.f64 1/720 (+.f64 (/.f64 30 (pow.f64 (+.f64 1 x) 3)) (+.f64 (/.f64 45 (pow.f64 (+.f64 1 x) 2)) (/.f64 45 (+.f64 1 x))))))))) x)
	6.2%	(copysign.f64 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (+.f64 (.f64 -1/24 (.f64 (pow.f64 x 4) (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))) x)
	9.5%	(copysign.f64 (+.f64 1 (log.f64 x)) x)
▶	64.9%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
	57.0%	(copysign.f64 (log1p.f64 x) x)
	30.7%	(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
	26.4%	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
	25.6%	(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)
	30.0%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
▶	25.6%	(copysign.f64 (log.f64 (+.f64 x x)) x)
▶	19.8%	(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
	11.9%	(copysign.f64 (log.f64 (+.f64 1 x)) x)
	9.3%	(copysign.f64 (log.f64 (neg.f64 x)) x)
▶	2.7%	(copysign.f64 (log.f64 0) x)

Compiler

Compiled 1020 to 756 computations (25.9% saved)

localize281.0ms (3.4%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 1 x) x)
✓	100.0%	(/.f64 x (/.f64 (+.f64 1 x) x))
✓	78.6%	(log.f64 (+.f64 1 (fabs.f64 x)))

Compiler

Compiled 99 to 49 computations (50.5% saved)

series72.0ms (0.9%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
30.0ms	x	@	0	(log.f64 (+.f64 1 (fabs.f64 x)))
20.0ms	x	@	inf	(log.f64 (+.f64 1 (fabs.f64 x)))
16.0ms	x	@	-inf	(log.f64 (+.f64 1 (fabs.f64 x)))
1.0ms	x	@	inf	(/.f64 (+.f64 1 x) x)
1.0ms	x	@	-inf	(/.f64 (+.f64 1 x) x)

rewrite247.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

978×	`log-prod`
558×	`pow-prod-down`
558×	`prod-exp`
440×	`pow-prod-up`
400×	`pow-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	41
1	236	37
2	3370	37

Stop Event

1×	node limit

Counts

3 → 139

Calls

Call 1

Inputs
(log.f64 (+.f64 1 (fabs.f64 x)))
(/.f64 x (/.f64 (+.f64 1 x) x))
(/.f64 (+.f64 1 x) x)

Outputs
(+.f64 (log1p.f64 x) 0)
(+.f64 0 (log1p.f64 x))
(+.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (/.f64 1 (fma.f64 x (-.f64 x 1) 1))))
(+.f64 (.f64 1/3 (log1p.f64 x)) (.f64 2 (*.f64 1/3 (log1p.f64 x))))
(+.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log.f64 (/.f64 1 (-.f64 1 x))))
(+.f64 (.f64 1/2 (log1p.f64 x)) (.f64 1/2 (log1p.f64 x)))
(+.f64 (.f64 2 (.f64 1/3 (log1p.f64 x))) (*.f64 1/3 (log1p.f64 x)))
(-.f64 0 (log.f64 (/.f64 (fma.f64 x (-.f64 x 1) 1) (+.f64 1 (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (fma.f64 x x (-.f64 1 x))))
(-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 x (-.f64 x 1) 1))))
(-.f64 (log.f64 (neg.f64 (-.f64 1 (*.f64 x x)))) (log.f64 (neg.f64 (-.f64 1 x))))
(-.f64 (log.f64 (fma.f64 x x -1)) (log.f64 (-.f64 x 1)))
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(.f64 3 (.f64 1/3 (log1p.f64 x)))
(.f64 2 (.f64 1/2 (log1p.f64 x)))
(.f64 1/3 (.f64 3 (log1p.f64 x)))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 x (-.f64 x 1) 1) (+.f64 1 (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))))
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 x))) 2))
(log1p.f64 x)
(+.f64 0 (/.f64 (*.f64 x x) (+.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 x (+.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 x (+.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 x (+.f64 1 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 x (+.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x x) (+.f64 1 x)))) 1)
(.f64 1 (/.f64 (.f64 x x) (+.f64 1 x)))
(*.f64 x (/.f64 x (+.f64 1 x)))
(.f64 (/.f64 (.f64 x x) (+.f64 1 x)) 1)
(.f64 (cbrt.f64 (/.f64 (.f64 x x) (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 1 x))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 x x) (+.f64 1 x))) 2) (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 1 x))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 x (+.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 (.f64 x x) (+.f64 1 x))) (sqrt.f64 (/.f64 (*.f64 x x) (+.f64 1 x))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 x (+.f64 1 x))))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (fma.f64 -1 x -1) x)))
(*.f64 (/.f64 x (+.f64 1 x)) x)
(.f64 (/.f64 1 (+.f64 1 x)) (.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) -2) (/.f64 x (cbrt.f64 (/.f64 (+.f64 1 x) x))))
(*.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -1/2) (/.f64 x (sqrt.f64 (/.f64 (+.f64 1 x) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 (+.f64 1 x) x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 1 x)) (.f64 (cbrt.f64 x) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 2)) (cbrt.f64 (/.f64 (.f64 x x) (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 (+.f64 1 x) x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 (+.f64 1 x) x))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 x) x)))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x)) (pow.f64 x 3/2))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 (+.f64 1 x) x))))
(*.f64 (/.f64 x 1) (/.f64 x (+.f64 1 x)))
(.f64 (.f64 (/.f64 x (+.f64 1 x)) 1) x)
(.f64 (.f64 (/.f64 x (+.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (/.f64 x (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 x (fma.f64 -1 x -1)) (neg.f64 x))
(pow.f64 (/.f64 (*.f64 x x) (+.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 x x) (+.f64 1 x))) 2)
(pow.f64 (/.f64 (+.f64 1 x) (*.f64 x x)) -1)
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 1 x) x) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (+.f64 1 x) (*.f64 x x)) 1) -1)
(neg.f64 (/.f64 x (/.f64 (fma.f64 -1 x -1) x)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 1 x)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 x x) (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 1 x) x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x x) (+.f64 1 x))))
(exp.f64 (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 x)))
(exp.f64 (.f64 (-.f64 (.f64 2 (log.f64 x)) (log1p.f64 x)) 1))
(exp.f64 (.f64 (.f64 (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 x)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (.f64 x x) (+.f64 1 x)))) 3))
(exp.f64 (.f64 (.f64 3 (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 x))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (.f64 x x) (+.f64 1 x)))) 2))
(exp.f64 (.f64 (-.f64 (log1p.f64 x) (.f64 2 (log.f64 x))) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (-.f64 (log.f64 x) (log1p.f64 x))))
(exp.f64 (+.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (*.f64 (log.f64 x) 1)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x x) (+.f64 1 x))))
(+.f64 0 (/.f64 (+.f64 1 x) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 x) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 x) x))) 1)
(*.f64 1 (/.f64 (+.f64 1 x) x))
(*.f64 (+.f64 1 x) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 1 x) x) 1)
(.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 2) (cbrt.f64 (/.f64 (+.f64 1 x) x)))
(.f64 (sqrt.f64 (+.f64 1 x)) (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x)) (sqrt.f64 (/.f64 (+.f64 1 x) x)))
(*.f64 (fma.f64 -1 x -1) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (+.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (+.f64 1 x) (cbrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (+.f64 1 x) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 1 x) x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1) (/.f64 (sqrt.f64 (+.f64 1 x)) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 x)))
(pow.f64 (/.f64 (+.f64 1 x) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x)) 2)
(pow.f64 (/.f64 x (+.f64 1 x)) -1)
(pow.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 3)) 1/3)
(pow.f64 (/.f64 (/.f64 x (+.f64 1 x)) 1) -1)
(neg.f64 (/.f64 (+.f64 1 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 x) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) x)))
(exp.f64 (-.f64 (log1p.f64 x) (log.f64 x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1))
(exp.f64 (.f64 (.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (-.f64 (log1p.f64 x) (log.f64 x))) 3))
(exp.f64 (.f64 (.f64 3 (-.f64 (log1p.f64 x) (log.f64 x))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (-.f64 (log1p.f64 x) (log.f64 x))) 2))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) -1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) x)))

simplify143.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1312×	`unswap-sqr`
748×	`cancel-sign-sub-inv`
510×	`fma-neg`
510×	`exp-prod`
482×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	351	3183
1	834	2915
2	3176	2883

Stop Event

1×	node limit

Counts

163 → 210

Calls

Call 1

Inputs
(pow.f64 x 2)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 2) (pow.f64 x 4)))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 -1 (pow.f64 x 5)) (+.f64 (pow.f64 x 2) (pow.f64 x 4))))
x
(-.f64 x 1)
(-.f64 (+.f64 x (/.f64 1 x)) 1)
(-.f64 (+.f64 x (/.f64 1 x)) (+.f64 1 (/.f64 1 (pow.f64 x 2))))
x
(-.f64 x 1)
(-.f64 (+.f64 x (/.f64 1 x)) 1)
(-.f64 (+.f64 x (/.f64 1 x)) (+.f64 1 (/.f64 1 (pow.f64 x 2))))
(/.f64 1 x)
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 (log1p.f64 x) 0)
(+.f64 0 (log1p.f64 x))
(+.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (/.f64 1 (fma.f64 x (-.f64 x 1) 1))))
(+.f64 (.f64 1/3 (log1p.f64 x)) (.f64 2 (*.f64 1/3 (log1p.f64 x))))
(+.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log.f64 (/.f64 1 (-.f64 1 x))))
(+.f64 (.f64 1/2 (log1p.f64 x)) (.f64 1/2 (log1p.f64 x)))
(+.f64 (.f64 2 (.f64 1/3 (log1p.f64 x))) (*.f64 1/3 (log1p.f64 x)))
(-.f64 0 (log.f64 (/.f64 (fma.f64 x (-.f64 x 1) 1) (+.f64 1 (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (fma.f64 x x (-.f64 1 x))))
(-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 x (-.f64 x 1) 1))))
(-.f64 (log.f64 (neg.f64 (-.f64 1 (*.f64 x x)))) (log.f64 (neg.f64 (-.f64 1 x))))
(-.f64 (log.f64 (fma.f64 x x -1)) (log.f64 (-.f64 x 1)))
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(.f64 3 (.f64 1/3 (log1p.f64 x)))
(.f64 2 (.f64 1/2 (log1p.f64 x)))
(.f64 1/3 (.f64 3 (log1p.f64 x)))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 x (-.f64 x 1) 1) (+.f64 1 (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))))
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 x))) 2))
(log1p.f64 x)
(+.f64 0 (/.f64 (*.f64 x x) (+.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 x (+.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 x (+.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 x (+.f64 1 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 x (+.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x x) (+.f64 1 x)))) 1)
(.f64 1 (/.f64 (.f64 x x) (+.f64 1 x)))
(*.f64 x (/.f64 x (+.f64 1 x)))
(.f64 (/.f64 (.f64 x x) (+.f64 1 x)) 1)
(.f64 (cbrt.f64 (/.f64 (.f64 x x) (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 1 x))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 x x) (+.f64 1 x))) 2) (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 1 x))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 x (+.f64 1 x))))
(.f64 (sqrt.f64 (/.f64 (.f64 x x) (+.f64 1 x))) (sqrt.f64 (/.f64 (*.f64 x x) (+.f64 1 x))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 x (+.f64 1 x))))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (fma.f64 -1 x -1) x)))
(*.f64 (/.f64 x (+.f64 1 x)) x)
(.f64 (/.f64 1 (+.f64 1 x)) (.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) -2) (/.f64 x (cbrt.f64 (/.f64 (+.f64 1 x) x))))
(*.f64 (pow.f64 (/.f64 (+.f64 1 x) x) -1/2) (/.f64 x (sqrt.f64 (/.f64 (+.f64 1 x) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 (+.f64 1 x) x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 1 x)) (.f64 (cbrt.f64 x) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 2)) (cbrt.f64 (/.f64 (.f64 x x) (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 (+.f64 1 x) x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 (+.f64 1 x) x))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 x) x)))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x)) (pow.f64 x 3/2))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 (+.f64 1 x) x))))
(*.f64 (/.f64 x 1) (/.f64 x (+.f64 1 x)))
(.f64 (.f64 (/.f64 x (+.f64 1 x)) 1) x)
(.f64 (.f64 (/.f64 x (+.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (/.f64 x (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 x (fma.f64 -1 x -1)) (neg.f64 x))
(pow.f64 (/.f64 (*.f64 x x) (+.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 x x) (+.f64 1 x))) 2)
(pow.f64 (/.f64 (+.f64 1 x) (*.f64 x x)) -1)
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 1 x) x) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (+.f64 1 x) (*.f64 x x)) 1) -1)
(neg.f64 (/.f64 x (/.f64 (fma.f64 -1 x -1) x)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 1 x)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 x x) (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 1 x) x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x x) (+.f64 1 x))))
(exp.f64 (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 x)))
(exp.f64 (.f64 (-.f64 (.f64 2 (log.f64 x)) (log1p.f64 x)) 1))
(exp.f64 (.f64 (.f64 (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 x)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (.f64 x x) (+.f64 1 x)))) 3))
(exp.f64 (.f64 (.f64 3 (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 x))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (.f64 x x) (+.f64 1 x)))) 2))
(exp.f64 (.f64 (-.f64 (log1p.f64 x) (.f64 2 (log.f64 x))) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (-.f64 (log.f64 x) (log1p.f64 x))))
(exp.f64 (+.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (*.f64 (log.f64 x) 1)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x x) (+.f64 1 x))))
(+.f64 0 (/.f64 (+.f64 1 x) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 x) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 x) x))) 1)
(*.f64 1 (/.f64 (+.f64 1 x) x))
(*.f64 (+.f64 1 x) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 1 x) x) 1)
(.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 2) (cbrt.f64 (/.f64 (+.f64 1 x) x)))
(.f64 (sqrt.f64 (+.f64 1 x)) (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x)) (sqrt.f64 (/.f64 (+.f64 1 x) x)))
(*.f64 (fma.f64 -1 x -1) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (+.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (+.f64 1 x) (cbrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (+.f64 1 x) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 1 x) x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1) (/.f64 (sqrt.f64 (+.f64 1 x)) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 x)))
(pow.f64 (/.f64 (+.f64 1 x) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x)) 2)
(pow.f64 (/.f64 x (+.f64 1 x)) -1)
(pow.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 3)) 1/3)
(pow.f64 (/.f64 (/.f64 x (+.f64 1 x)) 1) -1)
(neg.f64 (/.f64 (+.f64 1 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 x) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) x)))
(exp.f64 (-.f64 (log1p.f64 x) (log.f64 x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1))
(exp.f64 (.f64 (.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (-.f64 (log1p.f64 x) (log.f64 x))) 3))
(exp.f64 (.f64 (.f64 3 (-.f64 (log1p.f64 x) (log.f64 x))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (-.f64 (log1p.f64 x) (log.f64 x))) 2))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) -1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) x)))

Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 2))
(fma.f64 -1 (pow.f64 x 3) (*.f64 x x))
(-.f64 (*.f64 x x) (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 2) (pow.f64 x 4)))
(fma.f64 -1 (pow.f64 x 3) (+.f64 (pow.f64 x 4) (*.f64 x x)))
(-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 -1 (pow.f64 x 5)) (+.f64 (pow.f64 x 2) (pow.f64 x 4))))
(fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (pow.f64 x 5) (+.f64 (pow.f64 x 4) (*.f64 x x))))
(-.f64 (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 5)) (pow.f64 x 3))
(-.f64 (fma.f64 x x (pow.f64 x 4)) (+.f64 (pow.f64 x 3) (pow.f64 x 5)))
x
(-.f64 x 1)
(+.f64 x -1)
(-.f64 (+.f64 x (/.f64 1 x)) 1)
(+.f64 x (-.f64 (/.f64 1 x) 1))
(+.f64 x (+.f64 (/.f64 1 x) -1))
(-.f64 (+.f64 x (/.f64 1 x)) (+.f64 1 (/.f64 1 (pow.f64 x 2))))
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(.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (.f64 (/.f64 1 x) (cbrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (/.f64 (cbrt.f64 (+.f64 x 1)) x))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 2))
(+.f64 1 (/.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 2) (cbrt.f64 (/.f64 (+.f64 1 x) x)))
(+.f64 1 (/.f64 1 x))
(.f64 (sqrt.f64 (+.f64 1 x)) (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 x)))
(+.f64 1 (/.f64 1 x))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x)) (sqrt.f64 (/.f64 (+.f64 1 x) x)))
(+.f64 1 (/.f64 1 x))
(*.f64 (fma.f64 -1 x -1) (/.f64 1 (neg.f64 x)))
(/.f64 (fma.f64 -1 x -1) (neg.f64 x))
(+.f64 1 (neg.f64 (/.f64 -1 x)))
(*.f64 (/.f64 1 x) (+.f64 1 x))
(+.f64 1 (/.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (+.f64 1 x) (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (+.f64 x 1) (cbrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (+.f64 1 x) (sqrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (+.f64 x 1) (sqrt.f64 x)))
(/.f64 (+.f64 (sqrt.f64 x) (pow.f64 x -1/2)) (sqrt.f64 x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) x))
(.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (.f64 (/.f64 1 x) (cbrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (/.f64 (cbrt.f64 (+.f64 x 1)) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 1 x) x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 x))) (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (/.f64 (sqrt.f64 x) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1) (/.f64 (sqrt.f64 (+.f64 1 x)) x))
(+.f64 1 (/.f64 1 x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 x)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (+.f64 x 1) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (/.f64 (+.f64 1 x) x) 1)
(+.f64 1 (/.f64 1 x))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 3)
(+.f64 1 (/.f64 1 x))
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 2) 1/2)
(+.f64 1 (/.f64 1 x))
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 3) 1/3)
(+.f64 1 (/.f64 1 x))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x)) 2)
(+.f64 1 (/.f64 1 x))
(pow.f64 (/.f64 x (+.f64 1 x)) -1)
(+.f64 1 (/.f64 1 x))
(pow.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 3)) 1/3)
(+.f64 1 (/.f64 1 x))
(pow.f64 (/.f64 (/.f64 x (+.f64 1 x)) 1) -1)
(+.f64 1 (/.f64 1 x))
(neg.f64 (/.f64 (+.f64 1 x) (neg.f64 x)))
(*.f64 (fma.f64 -1 x -1) (/.f64 1 (neg.f64 x)))
(/.f64 (fma.f64 -1 x -1) (neg.f64 x))
(+.f64 1 (neg.f64 (/.f64 -1 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 2))
(+.f64 1 (/.f64 1 x))
(log.f64 (exp.f64 (/.f64 (+.f64 1 x) x)))
(+.f64 1 (/.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 x) x))))
(+.f64 1 (/.f64 1 x))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 3))
(+.f64 1 (/.f64 1 x))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 3)))
(+.f64 1 (/.f64 1 x))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) x)))
(+.f64 1 (/.f64 1 x))
(exp.f64 (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 (exp.f64 (log1p.f64 x)) x)
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1))
(exp.f64 (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 (exp.f64 (log1p.f64 x)) x)
(exp.f64 (.f64 (.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1) 1))
(exp.f64 (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 (exp.f64 (log1p.f64 x)) x)
(exp.f64 (.f64 (.f64 1/3 (-.f64 (log1p.f64 x) (log.f64 x))) 3))
(exp.f64 (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 (exp.f64 (log1p.f64 x)) x)
(exp.f64 (.f64 (.f64 3 (-.f64 (log1p.f64 x) (log.f64 x))) 1/3))
(exp.f64 (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 (exp.f64 (log1p.f64 x)) x)
(exp.f64 (.f64 (.f64 1/2 (-.f64 (log1p.f64 x) (log.f64 x))) 2))
(exp.f64 (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 (exp.f64 (log1p.f64 x)) x)
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) -1))
(pow.f64 (exp.f64 (-.f64 (log.f64 x) (log1p.f64 x))) -1)
(/.f64 1 (/.f64 x (exp.f64 (log1p.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) x)))
(+.f64 1 (/.f64 1 x))

eval64.0ms (0.8%)

Compiler: Compiled 3430 to 2038 computations (40.6% saved)

prune151.0ms (1.8%)

Pruning

21 alts after pruning (16 fresh and 5 done)

	Pruned	Kept	Total
New	206	4	210
Fresh	0	12	12
Picked	0	5	5
Done	0	0	0
Total	206	21	227

Accuracy

100.0%

Counts

227 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.3%	(copysign.f64 (fma.f64 (pow.f64 x 4) (*.f64 -1/24 (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2)))) (fma.f64 1/2 (/.f64 x (/.f64 (+.f64 1 x) x)) (log1p.f64 x))) x)
✓	51.5%	(copysign.f64 (fma.f64 1/2 (/.f64 x (/.f64 (+.f64 1 x) x)) (log1p.f64 x)) x)
	51.1%	(copysign.f64 (fma.f64 1/2 (*.f64 x x) (log1p.f64 x)) x)
	30.0%	(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
	50.7%	(copysign.f64 (+.f64 (log1p.f64 x) (fma.f64 1/2 (/.f64 x (/.f64 (+.f64 1 x) x)) (fma.f64 -1/24 (.f64 (pow.f64 x 4) (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2)))) (.f64 (pow.f64 x 6) (*.f64 1/720 (+.f64 (/.f64 30 (pow.f64 (+.f64 1 x) 3)) (+.f64 (/.f64 45 (pow.f64 (+.f64 1 x) 2)) (/.f64 45 (+.f64 1 x))))))))) x)
	6.2%	(copysign.f64 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (+.f64 (.f64 -1/24 (.f64 (pow.f64 x 4) (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))) x)
	9.5%	(copysign.f64 (+.f64 1 (log.f64 x)) x)
	56.8%	(copysign.f64 (.f64 3 (.f64 1/3 (log1p.f64 x))) x)
▶	56.8%	(copysign.f64 (.f64 1/3 (.f64 3 (log1p.f64 x))) x)
	8.8%	(copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))) x)
✓	64.9%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
▶	57.0%	(copysign.f64 (log1p.f64 x) x)
	30.7%	(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
	26.4%	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
	25.6%	(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)
▶	30.0%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
✓	25.6%	(copysign.f64 (log.f64 (+.f64 x x)) x)
✓	19.8%	(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
	11.9%	(copysign.f64 (log.f64 (+.f64 1 x)) x)
▶	9.3%	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	2.7%	(copysign.f64 (log.f64 0) x)
▶	51.3%	(copysign.f64 (fma.f64 (pow.f64 x 4) (*.f64 -1/24 (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2)))) (fma.f64 1/2 (/.f64 x (/.f64 (+.f64 1 x) x)) (log1p.f64 x))) x)
✓	51.5%	(copysign.f64 (fma.f64 1/2 (/.f64 x (/.f64 (+.f64 1 x) x)) (log1p.f64 x)) x)
	51.1%	(copysign.f64 (fma.f64 1/2 (*.f64 x x) (log1p.f64 x)) x)
	30.0%	(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
	50.7%	(copysign.f64 (+.f64 (log1p.f64 x) (fma.f64 1/2 (/.f64 x (/.f64 (+.f64 1 x) x)) (fma.f64 -1/24 (.f64 (pow.f64 x 4) (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2)))) (.f64 (pow.f64 x 6) (*.f64 1/720 (+.f64 (/.f64 30 (pow.f64 (+.f64 1 x) 3)) (+.f64 (/.f64 45 (pow.f64 (+.f64 1 x) 2)) (/.f64 45 (+.f64 1 x))))))))) x)
	6.2%	(copysign.f64 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (+.f64 (.f64 -1/24 (.f64 (pow.f64 x 4) (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))) x)
	9.5%	(copysign.f64 (+.f64 1 (log.f64 x)) x)
	56.8%	(copysign.f64 (.f64 3 (.f64 1/3 (log1p.f64 x))) x)
▶	56.8%	(copysign.f64 (.f64 1/3 (.f64 3 (log1p.f64 x))) x)
	8.8%	(copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))) x)
✓	64.9%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
▶	57.0%	(copysign.f64 (log1p.f64 x) x)
	30.7%	(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
	26.4%	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
	25.6%	(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)
▶	30.0%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
✓	25.6%	(copysign.f64 (log.f64 (+.f64 x x)) x)
✓	19.8%	(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
	11.9%	(copysign.f64 (log.f64 (+.f64 1 x)) x)
▶	9.3%	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	2.7%	(copysign.f64 (log.f64 0) x)

Compiler

Compiled 1108 to 822 computations (25.8% saved)

localize550.0ms (6.6%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 -1/24 (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2))))
	100.0%	(/.f64 (+.f64 1 x) x)
✓	100.0%	(/.f64 3 (pow.f64 (+.f64 1 x) 2))
	100.0%	(/.f64 x (/.f64 (+.f64 1 x) x))
✓	100.0%	(+.f64 x (hypot.f64 1 x))
✓	75.5%	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	99.9%	(.f64 1/3 (.f64 3 (log1p.f64 x)))
✓	99.9%	(*.f64 3 (log1p.f64 x))

Compiler

Compiled 212 to 141 computations (33.5% saved)

series5.0ms (0.1%)

Counts

6 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(log.f64 (+.f64 x (hypot.f64 1 x)))
1.0ms	x	@	0	(log.f64 (+.f64 x (hypot.f64 1 x)))
1.0ms	x	@	inf	(log.f64 (+.f64 x (hypot.f64 1 x)))
0.0ms	x	@	0	(/.f64 3 (pow.f64 (+.f64 1 x) 2))
0.0ms	x	@	0	(*.f64 3 (log1p.f64 x))

rewrite121.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1468×	`fma-def`
740×	`expm1-udef`
736×	`log1p-udef`
584×	`fma-neg`
442×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	108
1	465	102
2	5970	98

Stop Event

1×	node limit

Counts

6 → 161

Calls

Call 1

Inputs
(*.f64 3 (log1p.f64 x))
(.f64 1/3 (.f64 3 (log1p.f64 x)))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (hypot.f64 1 x))
(/.f64 3 (pow.f64 (+.f64 1 x) 2))
(*.f64 -1/24 (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2))))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (log1p.f64 x)))) 1)
(pow.f64 (*.f64 3 (log1p.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 3 (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 3 (log1p.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 3 (log1p.f64 x))) 2)
(sqrt.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) 9))
(log.f64 (pow.f64 (+.f64 x 1) 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (log1p.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 3 (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 3 (log1p.f64 x))))
(exp.f64 (log.f64 (*.f64 3 (log1p.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 3 (log1p.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 3 (log1p.f64 x))))
(+.f64 0 (log1p.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (log.f64 (cbrt.f64 (+.f64 x 1))))
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 x))) (log.f64 (hypot.f64 1 (sqrt.f64 x))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1)
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(log.f64 (+.f64 x 1))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(log1p.f64 x)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (.f64 x x))))
(.f64 (-.f64 (.f64 x x) (fma.f64 x x 1)) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 1 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (fma.f64 x x 1) (-.f64 (.f64 x x) (.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 x 1 (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (hypot.f64 1 x) 1 x)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (pow.f64 (+.f64 x 1) -2)))) 1)
(*.f64 3 (pow.f64 (+.f64 x 1) -2))
(.f64 1 (.f64 3 (pow.f64 (+.f64 x 1) -2)))
(.f64 (.f64 3 (pow.f64 (+.f64 x 1) -2)) 1)
(.f64 (cbrt.f64 (.f64 3 (pow.f64 (+.f64 x 1) -2))) (cbrt.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 4))))
(.f64 (cbrt.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 4))) (cbrt.f64 (.f64 3 (pow.f64 (+.f64 x 1) -2))))
(*.f64 (/.f64 (sqrt.f64 3) (+.f64 x 1)) (/.f64 (sqrt.f64 3) (+.f64 x 1)))
(*.f64 -3 (/.f64 1 (neg.f64 (pow.f64 (+.f64 x 1) 2))))
(*.f64 (pow.f64 (+.f64 x 1) -2) 3)
(pow.f64 (*.f64 3 (pow.f64 (+.f64 x 1) -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 3 (pow.f64 (+.f64 x 1) -2))) 3)
(pow.f64 (*.f64 27 (pow.f64 (pow.f64 (+.f64 x 1) -2) 3)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 3) (+.f64 x 1)) 2)
(pow.f64 (*.f64 (pow.f64 (+.f64 x 1) 2) 1/3) -1)
(sqrt.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 4)))
(log.f64 (pow.f64 (exp.f64 3) (pow.f64 (+.f64 x 1) -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (pow.f64 (+.f64 x 1) -2)))))
(cbrt.f64 (*.f64 27 (pow.f64 (pow.f64 (+.f64 x 1) -2) 3)))
(expm1.f64 (log1p.f64 (*.f64 3 (pow.f64 (+.f64 x 1) -2))))
(exp.f64 (-.f64 (log.f64 3) (*.f64 (log1p.f64 x) 2)))
(exp.f64 (.f64 (-.f64 (log.f64 3) (.f64 (log1p.f64 x) 2)) 1))
(log1p.f64 (expm1.f64 (*.f64 3 (pow.f64 (+.f64 x 1) -2))))
(+.f64 (/.f64 -1/8 (+.f64 x 1)) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(+.f64 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)) (/.f64 -1/8 (+.f64 x 1)))
(+.f64 (.f64 (/.f64 -1/8 (+.f64 x 1)) 1) (.f64 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))))) 1)
(/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (+.f64 x 1)) 3) (pow.f64 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)) 3)) (fma.f64 (/.f64 -1/8 (+.f64 x 1)) (/.f64 -1/8 (+.f64 x 1)) (-.f64 (.f64 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2))) (.f64 (/.f64 -1/8 (+.f64 x 1)) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2))))))
(/.f64 (-.f64 (.f64 (/.f64 -1/8 (+.f64 x 1)) (/.f64 -1/8 (+.f64 x 1))) (.f64 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))) (-.f64 (/.f64 -1/8 (+.f64 x 1)) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2))))
(/.f64 (.f64 -1/24 (fma.f64 3 (+.f64 x 1) (.f64 3 (pow.f64 (+.f64 x 1) 2)))) (pow.f64 (+.f64 x 1) 3))
(/.f64 (*.f64 -1/24 (fma.f64 27 (pow.f64 (pow.f64 (+.f64 x 1) -2) 3) (/.f64 27 (pow.f64 (+.f64 x 1) 3)))) (-.f64 (+.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 2)) (/.f64 9 (pow.f64 (+.f64 x 1) 4))) (/.f64 9 (pow.f64 (+.f64 x 1) 3))))
(/.f64 (.f64 -1/24 (-.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 2)) (/.f64 9 (pow.f64 (+.f64 x 1) 4)))) (+.f64 (/.f64 3 (+.f64 x 1)) (.f64 -3 (pow.f64 (+.f64 x 1) -2))))
(/.f64 (.f64 (fma.f64 3 (+.f64 x 1) (.f64 3 (pow.f64 (+.f64 x 1) 2))) -1/24) (pow.f64 (+.f64 x 1) 3))
(/.f64 (*.f64 (fma.f64 27 (pow.f64 (pow.f64 (+.f64 x 1) -2) 3) (/.f64 27 (pow.f64 (+.f64 x 1) 3))) -1/24) (-.f64 (+.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 2)) (/.f64 9 (pow.f64 (+.f64 x 1) 4))) (/.f64 9 (pow.f64 (+.f64 x 1) 3))))
(/.f64 (.f64 (-.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 2)) (/.f64 9 (pow.f64 (+.f64 x 1) 4))) -1/24) (+.f64 (/.f64 3 (+.f64 x 1)) (.f64 -3 (pow.f64 (+.f64 x 1) -2))))
(pow.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) 2))
(log.f64 (exp.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))))))
(cbrt.f64 (pow.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))))
(exp.f64 (log.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))))
(fma.f64 3 (*.f64 (/.f64 1 (+.f64 x 1)) -1/24) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(fma.f64 3 (*.f64 (pow.f64 (+.f64 x 1) -2) -1/24) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 1 (/.f64 -1/8 (+.f64 x 1)) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(fma.f64 1 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 (*.f64 3 (pow.f64 (+.f64 x 1) -2)) -1/24 (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 -1/24 (*.f64 3 (pow.f64 (+.f64 x 1) -2)) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 -1/24 (/.f64 3 (+.f64 x 1)) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(fma.f64 (/.f64 3 (+.f64 x 1)) -1/24 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(fma.f64 (cbrt.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 4))) (.f64 (cbrt.f64 (.f64 3 (pow.f64 (+.f64 x 1) -2))) -1/24) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 2))) (*.f64 (cbrt.f64 (/.f64 3 (+.f64 x 1))) -1/24) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(fma.f64 (/.f64 (sqrt.f64 3) (+.f64 x 1)) (*.f64 (/.f64 (sqrt.f64 3) (+.f64 x 1)) -1/24) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 (sqrt.f64 (/.f64 3 (+.f64 x 1))) (*.f64 (sqrt.f64 (/.f64 3 (+.f64 x 1))) -1/24) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(fma.f64 (/.f64 -1/8 (+.f64 x 1)) 1 (*.f64 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)) 1))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 -1/8 (+.f64 x 1))) (cbrt.f64 (/.f64 -1/8 (+.f64 x 1)))) (cbrt.f64 (/.f64 -1/8 (+.f64 x 1))) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2))) (cbrt.f64 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))) (cbrt.f64 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2))) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 (sqrt.f64 (/.f64 -1/8 (+.f64 x 1))) (sqrt.f64 (/.f64 -1/8 (+.f64 x 1))) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(fma.f64 (sqrt.f64 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2))) (sqrt.f64 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2))) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 -1/8 (/.f64 1 (+.f64 x 1)) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(fma.f64 (*.f64 -1/24 (cbrt.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 2)))) (cbrt.f64 (/.f64 3 (+.f64 x 1))) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(fma.f64 (*.f64 -1/24 (sqrt.f64 (/.f64 3 (+.f64 x 1)))) (sqrt.f64 (/.f64 3 (+.f64 x 1))) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(fma.f64 (.f64 -1/24 (cbrt.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 4)))) (cbrt.f64 (.f64 3 (pow.f64 (+.f64 x 1) -2))) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 (*.f64 -1/24 (/.f64 (sqrt.f64 3) (+.f64 x 1))) (/.f64 (sqrt.f64 3) (+.f64 x 1)) (/.f64 -1/8 (+.f64 x 1)))

simplify145.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

902×	`associate-+l+`
816×	`associate-+r+`
510×	`log-prod`
498×	`fma-def`
432×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	534	7105
1	1349	6909
2	4080	6671

Stop Event

1×	node limit

Counts

233 → 387

Calls

Call 1

Inputs
(*.f64 3 x)
(+.f64 (.f64 -3/2 (pow.f64 x 2)) (.f64 3 x))
(+.f64 (.f64 -3/2 (pow.f64 x 2)) (+.f64 (.f64 3 x) (pow.f64 x 3)))
(+.f64 (.f64 -3/2 (pow.f64 x 2)) (+.f64 (.f64 -3/4 (pow.f64 x 4)) (+.f64 (*.f64 3 x) (pow.f64 x 3))))
(*.f64 -3 (log.f64 (/.f64 1 x)))
(+.f64 (.f64 -3 (log.f64 (/.f64 1 x))) (.f64 3 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -3 (log.f64 (/.f64 1 x))) (.f64 3 (/.f64 1 x))) (*.f64 3/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -3 (log.f64 (/.f64 1 x))) (+.f64 (.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))) (*.f64 3/2 (/.f64 1 (pow.f64 x 2))))
(.f64 3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (.f64 3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))) (*.f64 3 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))) (.f64 3 (/.f64 1 x))) (.f64 3/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))) (+.f64 (.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))) (.f64 3/2 (/.f64 1 (pow.f64 x 2))))
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3))))
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/4 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 3)))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x)))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 x (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 5/128 (/.f64 1 (pow.f64 x 7))) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
3
(+.f64 3 (*.f64 -6 x))
(+.f64 3 (+.f64 (.f64 -6 x) (.f64 9 (pow.f64 x 2))))
(+.f64 3 (+.f64 (.f64 -12 (pow.f64 x 3)) (+.f64 (.f64 -6 x) (*.f64 9 (pow.f64 x 2)))))
(/.f64 3 (pow.f64 x 2))
(-.f64 (.f64 3 (/.f64 1 (pow.f64 x 2))) (.f64 6 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 9 (/.f64 1 (pow.f64 x 4))) (.f64 3 (/.f64 1 (pow.f64 x 2)))) (*.f64 6 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 9 (/.f64 1 (pow.f64 x 4))) (.f64 3 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 3))) (.f64 12 (/.f64 1 (pow.f64 x 5)))))
(/.f64 3 (pow.f64 x 2))
(-.f64 (.f64 3 (/.f64 1 (pow.f64 x 2))) (.f64 6 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 9 (/.f64 1 (pow.f64 x 4))) (.f64 3 (/.f64 1 (pow.f64 x 2)))) (*.f64 6 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 9 (/.f64 1 (pow.f64 x 4))) (.f64 3 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 3))) (.f64 12 (/.f64 1 (pow.f64 x 5)))))
-1/4
(-.f64 (*.f64 3/8 x) 1/4)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 3/8 x)) 1/4)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 3/8 x) (*.f64 5/8 (pow.f64 x 3)))) 1/4)
(/.f64 -1/8 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/8 (/.f64 1 x)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/8 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 3/8 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/8 (/.f64 1 x))))
(/.f64 -1/8 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/8 (/.f64 1 x)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/8 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 3/8 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/8 (/.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (log1p.f64 x)))) 1)
(pow.f64 (*.f64 3 (log1p.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 3 (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 3 (log1p.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 3 (log1p.f64 x))) 2)
(sqrt.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) 9))
(log.f64 (pow.f64 (+.f64 x 1) 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (log1p.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 3 (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 3 (log1p.f64 x))))
(exp.f64 (log.f64 (*.f64 3 (log1p.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 3 (log1p.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 3 (log1p.f64 x))))
(+.f64 0 (log1p.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (log.f64 (cbrt.f64 (+.f64 x 1))))
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 x))) (log.f64 (hypot.f64 1 (sqrt.f64 x))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1)
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(log.f64 (+.f64 x 1))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(log1p.f64 x)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (.f64 x x))))
(.f64 (-.f64 (.f64 x x) (fma.f64 x x 1)) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 1 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (fma.f64 x x 1) (-.f64 (.f64 x x) (.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 x 1 (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (hypot.f64 1 x) 1 x)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (pow.f64 (+.f64 x 1) -2)))) 1)
(*.f64 3 (pow.f64 (+.f64 x 1) -2))
(.f64 1 (.f64 3 (pow.f64 (+.f64 x 1) -2)))
(.f64 (.f64 3 (pow.f64 (+.f64 x 1) -2)) 1)
(.f64 (cbrt.f64 (.f64 3 (pow.f64 (+.f64 x 1) -2))) (cbrt.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 4))))
(.f64 (cbrt.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 4))) (cbrt.f64 (.f64 3 (pow.f64 (+.f64 x 1) -2))))
(*.f64 (/.f64 (sqrt.f64 3) (+.f64 x 1)) (/.f64 (sqrt.f64 3) (+.f64 x 1)))
(*.f64 -3 (/.f64 1 (neg.f64 (pow.f64 (+.f64 x 1) 2))))
(*.f64 (pow.f64 (+.f64 x 1) -2) 3)
(pow.f64 (*.f64 3 (pow.f64 (+.f64 x 1) -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 3 (pow.f64 (+.f64 x 1) -2))) 3)
(pow.f64 (*.f64 27 (pow.f64 (pow.f64 (+.f64 x 1) -2) 3)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 3) (+.f64 x 1)) 2)
(pow.f64 (*.f64 (pow.f64 (+.f64 x 1) 2) 1/3) -1)
(sqrt.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 4)))
(log.f64 (pow.f64 (exp.f64 3) (pow.f64 (+.f64 x 1) -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (pow.f64 (+.f64 x 1) -2)))))
(cbrt.f64 (*.f64 27 (pow.f64 (pow.f64 (+.f64 x 1) -2) 3)))
(expm1.f64 (log1p.f64 (*.f64 3 (pow.f64 (+.f64 x 1) -2))))
(exp.f64 (-.f64 (log.f64 3) (*.f64 (log1p.f64 x) 2)))
(exp.f64 (.f64 (-.f64 (log.f64 3) (.f64 (log1p.f64 x) 2)) 1))
(log1p.f64 (expm1.f64 (*.f64 3 (pow.f64 (+.f64 x 1) -2))))
(+.f64 (/.f64 -1/8 (+.f64 x 1)) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(+.f64 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)) (/.f64 -1/8 (+.f64 x 1)))
(+.f64 (.f64 (/.f64 -1/8 (+.f64 x 1)) 1) (.f64 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))))) 1)
(/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (+.f64 x 1)) 3) (pow.f64 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)) 3)) (fma.f64 (/.f64 -1/8 (+.f64 x 1)) (/.f64 -1/8 (+.f64 x 1)) (-.f64 (.f64 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2))) (.f64 (/.f64 -1/8 (+.f64 x 1)) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2))))))
(/.f64 (-.f64 (.f64 (/.f64 -1/8 (+.f64 x 1)) (/.f64 -1/8 (+.f64 x 1))) (.f64 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))) (-.f64 (/.f64 -1/8 (+.f64 x 1)) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2))))
(/.f64 (.f64 -1/24 (fma.f64 3 (+.f64 x 1) (.f64 3 (pow.f64 (+.f64 x 1) 2)))) (pow.f64 (+.f64 x 1) 3))
(/.f64 (*.f64 -1/24 (fma.f64 27 (pow.f64 (pow.f64 (+.f64 x 1) -2) 3) (/.f64 27 (pow.f64 (+.f64 x 1) 3)))) (-.f64 (+.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 2)) (/.f64 9 (pow.f64 (+.f64 x 1) 4))) (/.f64 9 (pow.f64 (+.f64 x 1) 3))))
(/.f64 (.f64 -1/24 (-.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 2)) (/.f64 9 (pow.f64 (+.f64 x 1) 4)))) (+.f64 (/.f64 3 (+.f64 x 1)) (.f64 -3 (pow.f64 (+.f64 x 1) -2))))
(/.f64 (.f64 (fma.f64 3 (+.f64 x 1) (.f64 3 (pow.f64 (+.f64 x 1) 2))) -1/24) (pow.f64 (+.f64 x 1) 3))
(/.f64 (*.f64 (fma.f64 27 (pow.f64 (pow.f64 (+.f64 x 1) -2) 3) (/.f64 27 (pow.f64 (+.f64 x 1) 3))) -1/24) (-.f64 (+.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 2)) (/.f64 9 (pow.f64 (+.f64 x 1) 4))) (/.f64 9 (pow.f64 (+.f64 x 1) 3))))
(/.f64 (.f64 (-.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 2)) (/.f64 9 (pow.f64 (+.f64 x 1) 4))) -1/24) (+.f64 (/.f64 3 (+.f64 x 1)) (.f64 -3 (pow.f64 (+.f64 x 1) -2))))
(pow.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) 2))
(log.f64 (exp.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))))))
(cbrt.f64 (pow.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))))
(exp.f64 (log.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))))
(fma.f64 3 (*.f64 (/.f64 1 (+.f64 x 1)) -1/24) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(fma.f64 3 (*.f64 (pow.f64 (+.f64 x 1) -2) -1/24) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 1 (/.f64 -1/8 (+.f64 x 1)) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(fma.f64 1 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 (*.f64 3 (pow.f64 (+.f64 x 1) -2)) -1/24 (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 -1/24 (*.f64 3 (pow.f64 (+.f64 x 1) -2)) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 -1/24 (/.f64 3 (+.f64 x 1)) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(fma.f64 (/.f64 3 (+.f64 x 1)) -1/24 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(fma.f64 (cbrt.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 4))) (.f64 (cbrt.f64 (.f64 3 (pow.f64 (+.f64 x 1) -2))) -1/24) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 2))) (*.f64 (cbrt.f64 (/.f64 3 (+.f64 x 1))) -1/24) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(fma.f64 (/.f64 (sqrt.f64 3) (+.f64 x 1)) (*.f64 (/.f64 (sqrt.f64 3) (+.f64 x 1)) -1/24) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 (sqrt.f64 (/.f64 3 (+.f64 x 1))) (*.f64 (sqrt.f64 (/.f64 3 (+.f64 x 1))) -1/24) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(fma.f64 (/.f64 -1/8 (+.f64 x 1)) 1 (*.f64 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)) 1))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 -1/8 (+.f64 x 1))) (cbrt.f64 (/.f64 -1/8 (+.f64 x 1)))) (cbrt.f64 (/.f64 -1/8 (+.f64 x 1))) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2))) (cbrt.f64 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))) (cbrt.f64 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2))) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 (sqrt.f64 (/.f64 -1/8 (+.f64 x 1))) (sqrt.f64 (/.f64 -1/8 (+.f64 x 1))) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(fma.f64 (sqrt.f64 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2))) (sqrt.f64 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2))) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 -1/8 (/.f64 1 (+.f64 x 1)) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(fma.f64 (*.f64 -1/24 (cbrt.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 2)))) (cbrt.f64 (/.f64 3 (+.f64 x 1))) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(fma.f64 (*.f64 -1/24 (sqrt.f64 (/.f64 3 (+.f64 x 1)))) (sqrt.f64 (/.f64 3 (+.f64 x 1))) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(fma.f64 (.f64 -1/24 (cbrt.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 4)))) (cbrt.f64 (.f64 3 (pow.f64 (+.f64 x 1) -2))) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 (*.f64 -1/24 (/.f64 (sqrt.f64 3) (+.f64 x 1))) (/.f64 (sqrt.f64 3) (+.f64 x 1)) (/.f64 -1/8 (+.f64 x 1)))

Outputs
(*.f64 3 x)
(+.f64 (.f64 -3/2 (pow.f64 x 2)) (.f64 3 x))
(fma.f64 -3/2 (.f64 x x) (.f64 3 x))
(fma.f64 3 x (.f64 -3/2 (.f64 x x)))
(.f64 x (+.f64 3 (.f64 x -3/2)))
(+.f64 (.f64 -3/2 (pow.f64 x 2)) (+.f64 (.f64 3 x) (pow.f64 x 3)))
(fma.f64 -3/2 (*.f64 x x) (fma.f64 3 x (pow.f64 x 3)))
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x
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(fma.f64 (*.f64 x x) -1/2 x)
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x
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(+.f64 x (*.f64 (pow.f64 x 3) -1/6))
(fma.f64 (pow.f64 x 3) -1/6 x)
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(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
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1
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(+.f64 x (+.f64 1 (fma.f64 (pow.f64 x 4) -1/8 (.f64 x (.f64 x 1/2)))))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
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(-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
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(/.f64 -1/2 x)
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(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
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3
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(+.f64 3 (*.f64 x -6))
(fma.f64 x -6 3)
(+.f64 3 (+.f64 (.f64 -6 x) (.f64 9 (pow.f64 x 2))))
(+.f64 3 (fma.f64 -6 x (.f64 (.f64 x x) 9)))
(+.f64 3 (fma.f64 x -6 (.f64 x (.f64 x 9))))
(+.f64 3 (.f64 x (+.f64 -6 (.f64 x 9))))
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(+.f64 3 (fma.f64 -12 (pow.f64 x 3) (fma.f64 -6 x (.f64 (.f64 x x) 9))))
(+.f64 3 (fma.f64 (pow.f64 x 3) -12 (fma.f64 x -6 (.f64 x (.f64 x 9)))))
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(/.f64 3 (pow.f64 x 2))
(/.f64 3 (*.f64 x x))
(-.f64 (.f64 3 (/.f64 1 (pow.f64 x 2))) (.f64 6 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 3 (*.f64 x x)) (/.f64 6 (pow.f64 x 3)))
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(/.f64 3 (pow.f64 x 2))
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(*.f64 (/.f64 (sqrt.f64 3) (+.f64 x 1)) (/.f64 (sqrt.f64 3) (+.f64 x 1)))
(pow.f64 (/.f64 (sqrt.f64 3) (+.f64 x 1)) 2)
(*.f64 -3 (/.f64 1 (neg.f64 (pow.f64 (+.f64 x 1) 2))))
(*.f64 3 (pow.f64 (+.f64 x 1) -2))
(*.f64 (pow.f64 (+.f64 x 1) -2) 3)
(*.f64 3 (pow.f64 (+.f64 x 1) -2))
(pow.f64 (*.f64 3 (pow.f64 (+.f64 x 1) -2)) 1)
(*.f64 3 (pow.f64 (+.f64 x 1) -2))
(pow.f64 (cbrt.f64 (*.f64 3 (pow.f64 (+.f64 x 1) -2))) 3)
(*.f64 3 (pow.f64 (+.f64 x 1) -2))
(pow.f64 (*.f64 27 (pow.f64 (pow.f64 (+.f64 x 1) -2) 3)) 1/3)
(cbrt.f64 (*.f64 27 (pow.f64 (pow.f64 (+.f64 x 1) -2) 3)))
(pow.f64 (/.f64 (sqrt.f64 3) (+.f64 x 1)) 2)
(pow.f64 (*.f64 (pow.f64 (+.f64 x 1) 2) 1/3) -1)
(*.f64 3 (pow.f64 (+.f64 x 1) -2))
(sqrt.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 4)))
(log.f64 (pow.f64 (exp.f64 3) (pow.f64 (+.f64 x 1) -2)))
(*.f64 3 (pow.f64 (+.f64 x 1) -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (pow.f64 (+.f64 x 1) -2)))))
(*.f64 3 (pow.f64 (+.f64 x 1) -2))
(cbrt.f64 (*.f64 27 (pow.f64 (pow.f64 (+.f64 x 1) -2) 3)))
(expm1.f64 (log1p.f64 (*.f64 3 (pow.f64 (+.f64 x 1) -2))))
(*.f64 3 (pow.f64 (+.f64 x 1) -2))
(exp.f64 (-.f64 (log.f64 3) (*.f64 (log1p.f64 x) 2)))
(*.f64 3 (pow.f64 (+.f64 x 1) -2))
(exp.f64 (.f64 (-.f64 (log.f64 3) (.f64 (log1p.f64 x) 2)) 1))
(*.f64 3 (pow.f64 (+.f64 x 1) -2))
(log1p.f64 (expm1.f64 (*.f64 3 (pow.f64 (+.f64 x 1) -2))))
(*.f64 3 (pow.f64 (+.f64 x 1) -2))
(+.f64 (/.f64 -1/8 (+.f64 x 1)) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(+.f64 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)) (/.f64 -1/8 (+.f64 x 1)))
(+.f64 (/.f64 -1/8 (+.f64 x 1)) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(+.f64 (.f64 (/.f64 -1/8 (+.f64 x 1)) 1) (.f64 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)) 1))
(+.f64 (/.f64 -1/8 (+.f64 x 1)) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))))) 1)
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (+.f64 x 1)) 3) (pow.f64 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)) 3)) (fma.f64 (/.f64 -1/8 (+.f64 x 1)) (/.f64 -1/8 (+.f64 x 1)) (-.f64 (.f64 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2))) (.f64 (/.f64 -1/8 (+.f64 x 1)) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2))))))
(/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (+.f64 x 1)) 3) (pow.f64 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)) 3)) (fma.f64 (/.f64 -1/8 (+.f64 x 1)) (/.f64 -1/8 (+.f64 x 1)) (*.f64 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)) (-.f64 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)) (/.f64 -1/8 (+.f64 x 1))))))
(/.f64 (+.f64 (/.f64 -1/512 (pow.f64 (+.f64 x 1) 3)) (pow.f64 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)) 3)) (+.f64 (*.f64 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)) (+.f64 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)) (/.f64 1/8 (+.f64 x 1)))) (/.f64 (/.f64 1/64 (+.f64 x 1)) (+.f64 x 1))))
(/.f64 (+.f64 (/.f64 -1/512 (pow.f64 (+.f64 x 1) 3)) (/.f64 -1/512 (pow.f64 (+.f64 x 1) 6))) (+.f64 (.f64 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)) (+.f64 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)) (/.f64 1/8 (+.f64 x 1)))) (.f64 (pow.f64 (+.f64 x 1) -2) 1/64)))
(/.f64 (-.f64 (.f64 (/.f64 -1/8 (+.f64 x 1)) (/.f64 -1/8 (+.f64 x 1))) (.f64 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))) (-.f64 (/.f64 -1/8 (+.f64 x 1)) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2))))
(/.f64 (-.f64 (/.f64 (/.f64 1/64 (+.f64 x 1)) (+.f64 x 1)) (/.f64 (/.f64 1/64 (pow.f64 (+.f64 x 1) 2)) (pow.f64 (+.f64 x 1) 2))) (+.f64 (/.f64 -1/8 (+.f64 x 1)) (/.f64 1/8 (pow.f64 (+.f64 x 1) 2))))
(/.f64 (+.f64 (/.f64 -1/8 (+.f64 x 1)) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2))) 1)
(/.f64 (.f64 -1/24 (fma.f64 3 (+.f64 x 1) (.f64 3 (pow.f64 (+.f64 x 1) 2)))) (pow.f64 (+.f64 x 1) 3))
(/.f64 -1/24 (/.f64 (pow.f64 (+.f64 x 1) 3) (fma.f64 3 (+.f64 x 1) (*.f64 3 (pow.f64 (+.f64 x 1) 2)))))
(.f64 (/.f64 -1/24 (pow.f64 (+.f64 x 1) 3)) (.f64 3 (+.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (*.f64 -1/24 (fma.f64 27 (pow.f64 (pow.f64 (+.f64 x 1) -2) 3) (/.f64 27 (pow.f64 (+.f64 x 1) 3)))) (-.f64 (+.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 2)) (/.f64 9 (pow.f64 (+.f64 x 1) 4))) (/.f64 9 (pow.f64 (+.f64 x 1) 3))))
(/.f64 (*.f64 -1/24 (fma.f64 27 (pow.f64 (pow.f64 (+.f64 x 1) -2) 3) (/.f64 27 (pow.f64 (+.f64 x 1) 3)))) (+.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 2)) (-.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 4)) (/.f64 9 (pow.f64 (+.f64 x 1) 3)))))
(*.f64 (/.f64 -1/24 (+.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 4)) (+.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 2)) (/.f64 -9 (pow.f64 (+.f64 x 1) 3))))) (fma.f64 27 (pow.f64 (pow.f64 (+.f64 x 1) -2) 3) (/.f64 27 (pow.f64 (+.f64 x 1) 3))))
(*.f64 (/.f64 -1/24 (+.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 4)) (+.f64 (/.f64 -9 (pow.f64 (+.f64 x 1) 3)) (/.f64 9 (pow.f64 (+.f64 x 1) 2))))) (fma.f64 27 (pow.f64 (pow.f64 (+.f64 x 1) -2) 3) (/.f64 27 (pow.f64 (+.f64 x 1) 3))))
(/.f64 (.f64 -1/24 (-.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 2)) (/.f64 9 (pow.f64 (+.f64 x 1) 4)))) (+.f64 (/.f64 3 (+.f64 x 1)) (.f64 -3 (pow.f64 (+.f64 x 1) -2))))
(/.f64 -1/24 (/.f64 (+.f64 (/.f64 3 (+.f64 x 1)) (*.f64 -3 (pow.f64 (+.f64 x 1) -2))) (-.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 2)) (/.f64 9 (pow.f64 (+.f64 x 1) 4)))))
(*.f64 (/.f64 -1/24 (fma.f64 -3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1)))) (+.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 2)) (/.f64 -9 (pow.f64 (+.f64 x 1) 4))))
(/.f64 (.f64 (fma.f64 3 (+.f64 x 1) (.f64 3 (pow.f64 (+.f64 x 1) 2))) -1/24) (pow.f64 (+.f64 x 1) 3))
(/.f64 -1/24 (/.f64 (pow.f64 (+.f64 x 1) 3) (fma.f64 3 (+.f64 x 1) (*.f64 3 (pow.f64 (+.f64 x 1) 2)))))
(.f64 (/.f64 -1/24 (pow.f64 (+.f64 x 1) 3)) (.f64 3 (+.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (*.f64 (fma.f64 27 (pow.f64 (pow.f64 (+.f64 x 1) -2) 3) (/.f64 27 (pow.f64 (+.f64 x 1) 3))) -1/24) (-.f64 (+.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 2)) (/.f64 9 (pow.f64 (+.f64 x 1) 4))) (/.f64 9 (pow.f64 (+.f64 x 1) 3))))
(/.f64 (*.f64 -1/24 (fma.f64 27 (pow.f64 (pow.f64 (+.f64 x 1) -2) 3) (/.f64 27 (pow.f64 (+.f64 x 1) 3)))) (+.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 2)) (-.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 4)) (/.f64 9 (pow.f64 (+.f64 x 1) 3)))))
(*.f64 (/.f64 -1/24 (+.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 4)) (+.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 2)) (/.f64 -9 (pow.f64 (+.f64 x 1) 3))))) (fma.f64 27 (pow.f64 (pow.f64 (+.f64 x 1) -2) 3) (/.f64 27 (pow.f64 (+.f64 x 1) 3))))
(*.f64 (/.f64 -1/24 (+.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 4)) (+.f64 (/.f64 -9 (pow.f64 (+.f64 x 1) 3)) (/.f64 9 (pow.f64 (+.f64 x 1) 2))))) (fma.f64 27 (pow.f64 (pow.f64 (+.f64 x 1) -2) 3) (/.f64 27 (pow.f64 (+.f64 x 1) 3))))
(/.f64 (.f64 (-.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 2)) (/.f64 9 (pow.f64 (+.f64 x 1) 4))) -1/24) (+.f64 (/.f64 3 (+.f64 x 1)) (.f64 -3 (pow.f64 (+.f64 x 1) -2))))
(/.f64 -1/24 (/.f64 (+.f64 (/.f64 3 (+.f64 x 1)) (*.f64 -3 (pow.f64 (+.f64 x 1) -2))) (-.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 2)) (/.f64 9 (pow.f64 (+.f64 x 1) 4)))))
(*.f64 (/.f64 -1/24 (fma.f64 -3 (pow.f64 (+.f64 x 1) -2) (/.f64 3 (+.f64 x 1)))) (+.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 2)) (/.f64 -9 (pow.f64 (+.f64 x 1) 4))))
(pow.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) 1)
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(pow.f64 (cbrt.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))) 3)
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(pow.f64 (pow.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) 3) 1/3)
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(pow.f64 (sqrt.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))) 2)
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(sqrt.f64 (pow.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) 2))
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(log.f64 (exp.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))))
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))))))
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(cbrt.f64 (pow.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) 3))
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(expm1.f64 (log1p.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))))
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(exp.f64 (log.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))))
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))) 1))
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(log1p.f64 (expm1.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))))
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 3 (*.f64 (/.f64 1 (+.f64 x 1)) -1/24) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(+.f64 (/.f64 -1/8 (+.f64 x 1)) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(fma.f64 3 (*.f64 (pow.f64 (+.f64 x 1) -2) -1/24) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 1 (/.f64 -1/8 (+.f64 x 1)) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(+.f64 (/.f64 -1/8 (+.f64 x 1)) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(fma.f64 1 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)) (/.f64 -1/8 (+.f64 x 1)))
(+.f64 (/.f64 -1/8 (+.f64 x 1)) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(fma.f64 (*.f64 3 (pow.f64 (+.f64 x 1) -2)) -1/24 (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 -1/24 (*.f64 3 (pow.f64 (+.f64 x 1) -2)) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 -1/24 (/.f64 3 (+.f64 x 1)) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(+.f64 (/.f64 -1/8 (+.f64 x 1)) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(fma.f64 (/.f64 3 (+.f64 x 1)) -1/24 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(+.f64 (/.f64 -1/8 (+.f64 x 1)) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(fma.f64 (cbrt.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 4))) (.f64 (cbrt.f64 (.f64 3 (pow.f64 (+.f64 x 1) -2))) -1/24) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 2))) (*.f64 (cbrt.f64 (/.f64 3 (+.f64 x 1))) -1/24) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(fma.f64 (cbrt.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 2))) (*.f64 -1/24 (cbrt.f64 (/.f64 3 (+.f64 x 1)))) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(fma.f64 (/.f64 (sqrt.f64 3) (+.f64 x 1)) (*.f64 (/.f64 (sqrt.f64 3) (+.f64 x 1)) -1/24) (/.f64 -1/8 (+.f64 x 1)))
(+.f64 (/.f64 -1/8 (+.f64 x 1)) (*.f64 (pow.f64 (/.f64 (sqrt.f64 3) (+.f64 x 1)) 2) -1/24))
(fma.f64 (sqrt.f64 (/.f64 3 (+.f64 x 1))) (*.f64 (sqrt.f64 (/.f64 3 (+.f64 x 1))) -1/24) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(+.f64 (/.f64 -1/8 (+.f64 x 1)) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(fma.f64 (/.f64 -1/8 (+.f64 x 1)) 1 (*.f64 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)) 1))
(+.f64 (/.f64 -1/8 (+.f64 x 1)) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 -1/8 (+.f64 x 1))) (cbrt.f64 (/.f64 -1/8 (+.f64 x 1)))) (cbrt.f64 (/.f64 -1/8 (+.f64 x 1))) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(+.f64 (/.f64 -1/8 (+.f64 x 1)) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2))) (cbrt.f64 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))) (cbrt.f64 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2))) (/.f64 -1/8 (+.f64 x 1)))
(+.f64 (/.f64 -1/8 (+.f64 x 1)) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(fma.f64 (sqrt.f64 (/.f64 -1/8 (+.f64 x 1))) (sqrt.f64 (/.f64 -1/8 (+.f64 x 1))) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(+.f64 (/.f64 -1/8 (+.f64 x 1)) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(fma.f64 (sqrt.f64 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2))) (sqrt.f64 (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2))) (/.f64 -1/8 (+.f64 x 1)))
(+.f64 (/.f64 -1/8 (+.f64 x 1)) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 -1/8 (/.f64 1 (+.f64 x 1)) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(+.f64 (/.f64 -1/8 (+.f64 x 1)) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(fma.f64 (*.f64 -1/24 (cbrt.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 2)))) (cbrt.f64 (/.f64 3 (+.f64 x 1))) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(fma.f64 (cbrt.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 2))) (*.f64 -1/24 (cbrt.f64 (/.f64 3 (+.f64 x 1)))) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(fma.f64 (*.f64 -1/24 (sqrt.f64 (/.f64 3 (+.f64 x 1)))) (sqrt.f64 (/.f64 3 (+.f64 x 1))) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(+.f64 (/.f64 -1/8 (+.f64 x 1)) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(fma.f64 (.f64 -1/24 (cbrt.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 4)))) (cbrt.f64 (.f64 3 (pow.f64 (+.f64 x 1) -2))) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (/.f64 9 (pow.f64 (+.f64 x 1) 4))) (.f64 (cbrt.f64 (.f64 3 (pow.f64 (+.f64 x 1) -2))) -1/24) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 (*.f64 -1/24 (/.f64 (sqrt.f64 3) (+.f64 x 1))) (/.f64 (sqrt.f64 3) (+.f64 x 1)) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 (/.f64 (sqrt.f64 3) (+.f64 x 1)) (*.f64 (/.f64 (sqrt.f64 3) (+.f64 x 1)) -1/24) (/.f64 -1/8 (+.f64 x 1)))
(+.f64 (/.f64 -1/8 (+.f64 x 1)) (*.f64 (pow.f64 (/.f64 (sqrt.f64 3) (+.f64 x 1)) 2) -1/24))

eval654.0ms (7.9%)

Compiler: Compiled 14767 to 10602 computations (28.2% saved)

prune168.0ms (2%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	543	6	549
Fresh	7	4	11
Picked	2	3	5
Done	4	1	5
Total	556	14	570

Accuracy

100.0%

Counts

570 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.0%	(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
	8.7%	(copysign.f64 (+.f64 (/.f64 1 x) (log.f64 x)) x)
	51.1%	(copysign.f64 (+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))) x)
▶	52.2%	(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
	51.2%	(copysign.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x 1/3)))) x)
▶	52.5%	(copysign.f64 (.f64 1/3 (.f64 3 x)) x)
✓	57.0%	(copysign.f64 (log1p.f64 x) x)
▶	30.7%	(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
▶	26.4%	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
	25.6%	(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)
✓	30.0%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
✓	25.6%	(copysign.f64 (log.f64 (+.f64 x x)) x)
✓	9.3%	(copysign.f64 (log.f64 (neg.f64 x)) x)
▶	52.7%	(copysign.f64 x x)
	30.0%	(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
	8.7%	(copysign.f64 (+.f64 (/.f64 1 x) (log.f64 x)) x)
	51.1%	(copysign.f64 (+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))) x)
▶	52.2%	(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
	51.2%	(copysign.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x 1/3)))) x)
▶	52.5%	(copysign.f64 (.f64 1/3 (.f64 3 x)) x)
✓	57.0%	(copysign.f64 (log1p.f64 x) x)
▶	30.7%	(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
▶	26.4%	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
	25.6%	(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)
✓	30.0%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
✓	25.6%	(copysign.f64 (log.f64 (+.f64 x x)) x)
✓	9.3%	(copysign.f64 (log.f64 (neg.f64 x)) x)
▶	52.7%	(copysign.f64 x x)

Compiler

Compiled 466 to 322 computations (30.9% saved)

localize585.0ms (7.1%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 1 (-.f64 (hypot.f64 1 x) x))
✓	75.5%	(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
✓	99.9%	(*.f64 (pow.f64 x 3) -1/6)
✓	99.8%	(.f64 1/3 (.f64 3 x))

Compiler

Compiled 101 to 69 computations (31.7% saved)

series8.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 (pow.f64 x 3) -1/6)
1.0ms	x	@	inf	(*.f64 (pow.f64 x 3) -1/6)
1.0ms	x	@	-inf	(*.f64 (pow.f64 x 3) -1/6)
1.0ms	x	@	inf	(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
1.0ms	x	@	0	(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))

rewrite175.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1340×	`log-prod`
1308×	`prod-diff`
698×	`fma-def`
614×	`pow-exp`
516×	`expm1-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	54
1	339	54
2	3754	54

Stop Event

1×	node limit

Counts

4 → 118

Calls

Call 1

Inputs
(.f64 1/3 (.f64 3 x))
(*.f64 (pow.f64 x 3) -1/6)
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))

Outputs
(+.f64 0 x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 x)) 1)
(pow.f64 x 1)
(pow.f64 (pow.f64 x 3) 1/3)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (sqrt.f64 x) 2)
(sqrt.f64 (*.f64 x x))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) 1))
(exp.f64 (.f64 (.f64 (log.f64 x) 1) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 x)) 1/3))
(exp.f64 (.f64 (.f64 (*.f64 3 (log.f64 x)) 1) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) 2))
(log1p.f64 (expm1.f64 x))
(+.f64 0 (*.f64 (pow.f64 x 3) -1/6))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6))) 1)
(pow.f64 (*.f64 (pow.f64 x 3) -1/6) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/6) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) 2)
(sqrt.f64 (*.f64 1/36 (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) -1/6))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/6) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6)))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)) 1))
(exp.f64 (.f64 (.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)) 1) 1))
(exp.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 -1/6))) 3))
(exp.f64 (.f64 (.f64 3 (fma.f64 3 (log.f64 x) (log.f64 -1/6))) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2))) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -1/6)))
(+.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 0)
(+.f64 0 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (neg.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))))
(+.f64 (log.f64 -1) (log.f64 (/.f64 1 (neg.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))) (neg.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (log.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))) (neg.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (log.f64 (/.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (log.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))))
(+.f64 (log.f64 (/.f64 1 (-.f64 (fma.f64 x x 1) (*.f64 x x)))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 0 (log.f64 (neg.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (*.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 1)
(-.f64 (log.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(.f64 1/3 (.f64 3 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 3 (neg.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(*.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 -1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(.f64 2 (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) (+.f64 0 (+.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (*.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(/.f64 (-.f64 0 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3)
(pow.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) 1/3)
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(neg.f64 (log.f64 (neg.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x)))))
(sqrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3))
(expm1.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(exp.f64 (log.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 2))
(log1p.f64 (-.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1))
(+.f64 0 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))) (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))) 1)
(*.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(.f64 (/.f64 1 (-.f64 (fma.f64 x x 1) (.f64 x x))) (+.f64 x (hypot.f64 1 x)))
(pow.f64 (-.f64 (hypot.f64 1 x) x) -1)
(pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)
(pow.f64 (E.f64) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(pow.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) 2)
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (neg.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x))) -1)
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1) -1))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) 3))
(exp.f64 (.f64 (.f64 3 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1/3))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))

simplify125.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

882×	`associate-+r+`
548×	`cancel-sign-sub-inv`
456×	`log-prod`
404×	`cube-prod`
360×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	356	3388
1	838	3268
2	3070	3176

Stop Event

1×	node limit

Counts

166 → 211

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 x (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 5/128 (/.f64 1 (pow.f64 x 7))) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
(+.f64 0 x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 x)) 1)
(pow.f64 x 1)
(pow.f64 (pow.f64 x 3) 1/3)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (sqrt.f64 x) 2)
(sqrt.f64 (*.f64 x x))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) 1))
(exp.f64 (.f64 (.f64 (log.f64 x) 1) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 x)) 1/3))
(exp.f64 (.f64 (.f64 (*.f64 3 (log.f64 x)) 1) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) 2))
(log1p.f64 (expm1.f64 x))
(+.f64 0 (*.f64 (pow.f64 x 3) -1/6))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6))) 1)
(pow.f64 (*.f64 (pow.f64 x 3) -1/6) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/6) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) 2)
(sqrt.f64 (*.f64 1/36 (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) -1/6))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/6) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6)))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)) 1))
(exp.f64 (.f64 (.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)) 1) 1))
(exp.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 -1/6))) 3))
(exp.f64 (.f64 (.f64 3 (fma.f64 3 (log.f64 x) (log.f64 -1/6))) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2))) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -1/6)))
(+.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 0)
(+.f64 0 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (neg.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))))
(+.f64 (log.f64 -1) (log.f64 (/.f64 1 (neg.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))) (neg.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (log.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))) (neg.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (log.f64 (/.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (log.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))))
(+.f64 (log.f64 (/.f64 1 (-.f64 (fma.f64 x x 1) (*.f64 x x)))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 0 (log.f64 (neg.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (*.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 1)
(-.f64 (log.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(.f64 1/3 (.f64 3 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 3 (neg.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(*.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 -1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(.f64 2 (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) (+.f64 0 (+.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (*.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(/.f64 (-.f64 0 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3)
(pow.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) 1/3)
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(neg.f64 (log.f64 (neg.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x)))))
(sqrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3))
(expm1.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(exp.f64 (log.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 2))
(log1p.f64 (-.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1))
(+.f64 0 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))) (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))) 1)
(*.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(.f64 (/.f64 1 (-.f64 (fma.f64 x x 1) (.f64 x x))) (+.f64 x (hypot.f64 1 x)))
(pow.f64 (-.f64 (hypot.f64 1 x) x) -1)
(pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)
(pow.f64 (E.f64) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(pow.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) 2)
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (neg.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x))) -1)
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1) -1))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) 3))
(exp.f64 (.f64 (.f64 3 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1/3))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))

Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
x
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -5/112 (pow.f64 x 7)) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -5/112 (pow.f64 x 7) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 x)))
(+.f64 (log.f64 x) (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 2)))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (*.f64 x x))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (-.f64 (log.f64 x) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (+.f64 (/.f64 5/96 (pow.f64 x 6)) (log.f64 x)) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 (/.f64 -1 x))) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (*.f64 x x)))))
(+.f64 (+.f64 (log.f64 1/2) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -5/96 (pow.f64 x 6))))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 x (.f64 1/2 (.f64 x x))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 1 (+.f64 x (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))))
(+.f64 1 (+.f64 x (fma.f64 -1/8 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))))
(+.f64 x (+.f64 1 (fma.f64 (pow.f64 x 4) -1/8 (.f64 1/2 (.f64 x x)))))
(+.f64 (fma.f64 (pow.f64 x 4) -1/8 (.f64 x (.f64 x 1/2))) (+.f64 x 1))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (fma.f64 x 2 (/.f64 1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (+.f64 (fma.f64 x 2 (/.f64 1/2 x)) (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/8 (pow.f64 x 3)))
(+.f64 (fma.f64 x 2 (/.f64 1/2 x)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 -1/8 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))
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(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(log.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(exp.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1) -1))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1) 1))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) 3))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(exp.f64 (.f64 (.f64 3 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1/3))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))

eval86.0ms (1%)

Compiler: Compiled 3169 to 2308 computations (27.2% saved)

prune70.0ms (0.8%)

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	210	1	211
Fresh	0	5	5
Picked	1	4	5
Done	0	4	4
Total	211	14	225

Accuracy

100.0%

Counts

225 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.0%	(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
	8.7%	(copysign.f64 (+.f64 (/.f64 1 x) (log.f64 x)) x)
	51.1%	(copysign.f64 (+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))) x)
✓	52.2%	(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
	51.2%	(copysign.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x 1/3)))) x)
✓	52.5%	(copysign.f64 (.f64 1/3 (.f64 3 x)) x)
	30.7%	(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
✓	57.0%	(copysign.f64 (log1p.f64 x) x)
✓	26.4%	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
	25.6%	(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)
✓	30.0%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
✓	25.6%	(copysign.f64 (log.f64 (+.f64 x x)) x)
✓	9.3%	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	52.7%	(copysign.f64 x x)

Compiler

Compiled 491 to 328 computations (33.2% saved)

regimes159.0ms (1.9%)

Counts

30 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (.f64 1/3 (.f64 3 x)) x)
(copysign.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x 1/3)))) x)
(copysign.f64 (log.f64 0) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 1 (log.f64 x)) x)
(copysign.f64 (.f64 1/3 (.f64 3 (log1p.f64 x))) x)
(copysign.f64 (.f64 3 (.f64 1/3 (log1p.f64 x))) x)
(copysign.f64 (+.f64 (/.f64 1 x) (log.f64 x)) x)
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (fma.f64 1/2 (*.f64 x x) (log1p.f64 x)) x)
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
(copysign.f64 (fma.f64 1/2 (/.f64 x (/.f64 (+.f64 1 x) x)) (log1p.f64 x)) x)
(copysign.f64 (+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
(copysign.f64 (fma.f64 (pow.f64 x 4) (*.f64 -1/24 (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2)))) (fma.f64 1/2 (/.f64 x (/.f64 (+.f64 1 x) x)) (log1p.f64 x))) x)
(copysign.f64 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (+.f64 (.f64 -1/24 (.f64 (pow.f64 x 4) (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))) x)
(copysign.f64 (+.f64 (log1p.f64 x) (fma.f64 1/2 (/.f64 x (/.f64 (+.f64 1 x) x)) (fma.f64 -1/24 (.f64 (pow.f64 x 4) (+.f64 (/.f64 3 (+.f64 1 x)) (/.f64 3 (pow.f64 (+.f64 1 x) 2)))) (.f64 (pow.f64 x 6) (*.f64 1/720 (+.f64 (/.f64 30 (pow.f64 (+.f64 1 x) 3)) (+.f64 (/.f64 45 (pow.f64 (+.f64 1 x) 2)) (/.f64 45 (+.f64 1 x))))))))) x)

Outputs
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)

Calls

2 calls:

43.0ms	x
18.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)

Results

Accuracy	Segments	Branch
100.0%	3	`x`
100.0%	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)`

Compiler

Compiled 377 to 250 computations (33.7% saved)

regimes44.0ms (0.5%)

Counts

24 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (.f64 1/3 (.f64 3 x)) x)
(copysign.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x 1/3)))) x)
(copysign.f64 (log.f64 0) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 1 (log.f64 x)) x)
(copysign.f64 (.f64 1/3 (.f64 3 (log1p.f64 x))) x)
(copysign.f64 (.f64 3 (.f64 1/3 (log1p.f64 x))) x)
(copysign.f64 (+.f64 (/.f64 1 x) (log.f64 x)) x)
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (fma.f64 1/2 (*.f64 x x) (log1p.f64 x)) x)
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
(copysign.f64 (fma.f64 1/2 (/.f64 x (/.f64 (+.f64 1 x) x)) (log1p.f64 x)) x)

Outputs
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)

Calls

1 calls:

38.0ms

Results

Accuracy	Segments	Branch
100.0%	3	`x`

Compiler

Compiled 192 to 116 computations (39.6% saved)

regimes45.0ms (0.5%)

Counts

22 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (.f64 1/3 (.f64 3 x)) x)
(copysign.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x 1/3)))) x)
(copysign.f64 (log.f64 0) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 1 (log.f64 x)) x)
(copysign.f64 (.f64 1/3 (.f64 3 (log1p.f64 x))) x)
(copysign.f64 (.f64 3 (.f64 1/3 (log1p.f64 x))) x)
(copysign.f64 (+.f64 (/.f64 1 x) (log.f64 x)) x)
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (fma.f64 1/2 (*.f64 x x) (log1p.f64 x)) x)
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)

Outputs
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)

Calls

1 calls:

38.0ms

Results

Accuracy	Segments	Branch
100.0%	3	`x`

Compiler

Compiled 167 to 100 computations (40.1% saved)

regimes31.0ms (0.4%)

Counts

18 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (.f64 1/3 (.f64 3 x)) x)
(copysign.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x 1/3)))) x)
(copysign.f64 (log.f64 0) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 1 (log.f64 x)) x)
(copysign.f64 (.f64 1/3 (.f64 3 (log1p.f64 x))) x)
(copysign.f64 (.f64 3 (.f64 1/3 (log1p.f64 x))) x)
(copysign.f64 (+.f64 (/.f64 1 x) (log.f64 x)) x)
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)

Outputs
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
(copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)

Calls

1 calls:

27.0ms

Results

Accuracy	Segments	Branch
99.6%	3	`x`

Compiler

Compiled 131 to 79 computations (39.7% saved)

regimes27.0ms (0.3%)

Counts

14 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (.f64 1/3 (.f64 3 x)) x)
(copysign.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x 1/3)))) x)
(copysign.f64 (log.f64 0) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 1 (log.f64 x)) x)
(copysign.f64 (.f64 1/3 (.f64 3 (log1p.f64 x))) x)
(copysign.f64 (.f64 3 (.f64 1/3 (log1p.f64 x))) x)
(copysign.f64 (+.f64 (/.f64 1 x) (log.f64 x)) x)
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)

Outputs
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)

Calls

1 calls:

24.0ms

Results

Accuracy	Segments	Branch
99.6%	3	`x`

Compiler

Compiled 96 to 59 computations (38.5% saved)

regimes26.0ms (0.3%)

Counts

13 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (.f64 1/3 (.f64 3 x)) x)
(copysign.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x 1/3)))) x)
(copysign.f64 (log.f64 0) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 1 (log.f64 x)) x)
(copysign.f64 (.f64 1/3 (.f64 3 (log1p.f64 x))) x)
(copysign.f64 (.f64 3 (.f64 1/3 (log1p.f64 x))) x)
(copysign.f64 (+.f64 (/.f64 1 x) (log.f64 x)) x)

Outputs
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 x x)
(copysign.f64 (log.f64 (+.f64 x x)) x)

Calls

1 calls:

23.0ms

Results

Accuracy	Segments	Branch
99.4%	3	`x`

Compiler

Compiled 87 to 53 computations (39.1% saved)

regimes53.0ms (0.6%)

Counts

8 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (.f64 1/3 (.f64 3 x)) x)
(copysign.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x 1/3)))) x)
(copysign.f64 (log.f64 0) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)

Outputs
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 x x)
(copysign.f64 (log.f64 (+.f64 x x)) x)

Calls

1 calls:

50.0ms

Results

Accuracy	Segments	Branch
82.2%	3	`x`

Compiler

Compiled 51 to 31 computations (39.2% saved)

regimes20.0ms (0.2%)

Counts

7 → 2

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (.f64 1/3 (.f64 3 x)) x)
(copysign.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x 1/3)))) x)
(copysign.f64 (log.f64 0) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)

Outputs
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log1p.f64 x) x)

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
64.9%	2	`x`

Compiler

Compiled 45 to 28 computations (37.8% saved)

regimes13.0ms (0.2%)

Counts

5 → 2

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (.f64 1/3 (.f64 3 x)) x)
(copysign.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x 1/3)))) x)
(copysign.f64 (log.f64 0) x)
(copysign.f64 (log1p.f64 x) x)

Outputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
59.1%	2	`x`

Compiler

Compiled 34 to 21 computations (38.2% saved)

regimes19.0ms (0.2%)

Accuracy

Total -32.0b remaining (-105.9%)

Threshold costs -32b (-105.9%)

Counts

4 → 1

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (.f64 1/3 (.f64 3 x)) x)
(copysign.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x 1/3)))) x)
(copysign.f64 (log.f64 0) x)

Outputs
(copysign.f64 x x)

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
52.7%	1	`x`

Compiler

Compiled 30 to 19 computations (36.7% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0028560358835630836	1.0441255778554028
0.0ms	-37.89907865517477	-4.8312656633877176e-5

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch90.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
28.0ms	7.385640666609915e-9	0.0028560397663172313
61.0ms	-14398947011460778.0	-4.8312656652702395e-5

Results

78.0ms

320×

body

256

valid

Compiler

Compiled 451 to 337 computations (25.3% saved)

bsearch47.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	7.385640666609915e-9	0.0028560397663172313
24.0ms	-14398947011460778.0	-4.8312656652702395e-5

Results

38.0ms

320×

body

256

valid

Compiler

Compiled 415 to 301 computations (27.5% saved)

bsearch92.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
47.0ms	0.0028560397663172313	1.2444568993824077
45.0ms	-14398947011460778.0	-4.8312656652702395e-5

Results

82.0ms

304×

body

256

valid

Compiler

Compiled 410 to 294 computations (28.3% saved)

bsearch137.0ms (1.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
63.0ms	1.2444568993824077	3576446004716247.5
74.0ms	-14398947011460778.0	-4.8312656652702395e-5

Results

122.0ms

336×

body

256

valid

Compiler

Compiled 416 to 296 computations (28.8% saved)

bsearch126.0ms (1.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
57.0ms	1.2444568993824077	3576446004716247.5
69.0ms	-14398947011460778.0	-4.8312656652702395e-5

Results

115.0ms

336×

body

256

valid

Compiler

Compiled 290 to 191 computations (34.1% saved)

bsearch124.0ms (1.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
56.0ms	1.2444568993824077	3576446004716247.5
67.0ms	-14398947011460778.0	-4.8312656652702395e-5

Results

114.0ms

336×

body

256

valid

Compiler

Compiled 279 to 180 computations (35.5% saved)

bsearch68.0ms (0.8%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
68.0ms	-14398947011460778.0	-4.8312656652702395e-5

Results

63.0ms

176×

body

256

valid

Compiler

Compiled 160 to 111 computations (30.6% saved)

bsearch55.0ms (0.7%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
55.0ms	1.2444568993824077	3576446004716247.5

Results

50.0ms

160×

body

256

valid

Compiler

Compiled 127 to 82 computations (35.4% saved)

simplify65.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

22×	`+-commutative`
10×	`neg-mul-1`
10×	`*-commutative`
8×	`unsub-neg`
6×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	702
1	108	702
2	113	702
3	119	702
4	126	702
5	135	702
6	138	702

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -20) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 5764607523034235/1152921504606846976) (copysign.f64 (+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5764607523034235/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 2582544170319337/2305843009213693952) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x) (copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)))
(if (<=.f64 x -5764607523034235/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 4842270319348757/4611686018427387904) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5764607523034235/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 1080863910568919/1125899906842624) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x) (copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)))
(if (<=.f64 x -5764607523034235/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -3602879701896397/1125899906842624) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -1/2) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x 6980579422424269/4503599627370496) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(copysign.f64 x x)

Outputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -20) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 5764607523034235/1152921504606846976) (copysign.f64 (+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5764607523034235/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 2582544170319337/2305843009213693952) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x) (copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)))
(if (<=.f64 x -5764607523034235/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 2582544170319337/2305843009213693952) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)))
(if (<=.f64 x -5764607523034235/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 2582544170319337/2305843009213693952) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1) x)))
(if (<=.f64 x -5764607523034235/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 4842270319348757/4611686018427387904) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5764607523034235/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 4842270319348757/4611686018427387904) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5764607523034235/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 1080863910568919/1125899906842624) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x) (copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)))
(if (<=.f64 x -5764607523034235/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 1080863910568919/1125899906842624) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 (+.f64 x x) (/.f64 1/2 x))) x)))
(if (<=.f64 x -5764607523034235/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -5764607523034235/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -3602879701896397/1125899906842624) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -1/2) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x 6980579422424269/4503599627370496) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(copysign.f64 x x)

Compiler

Compiled 269 to 179 computations (33.5% saved)

soundness1.6s (18.8%)

Rules

1854×	`fma-def`
1854×	`fma-def`
1854×	`fma-def`
1854×	`fma-def`
1854×	`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	229	2890
1	608	2460
2	1980	2092
0	9	38
1	179	30
2	2314	30
0	229	2890
1	608	2460
2	1980	2092
0	11	41
1	236	37
2	3370	37
0	229	2890
1	608	2460
2	1980	2092
0	229	2890
1	608	2460
2	1980	2092
0	229	2890
1	608	2460
2	1980	2092
0	534	7105
1	1349	6909
2	4080	6671
0	229	2890
1	608	2460
2	1980	2092
0	9	38
1	179	30
2	2314	30

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×	saturated

Compiler

Compiled 950 to 656 computations (30.9% saved)

end0.0ms (0%)

preprocess295.0ms (3.6%)

Compiler: Compiled 588 to 354 computations (39.8% 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%)

sample856.0ms (10.4%)

preprocess34.0ms (0.4%)

eval2.0ms (0%)

prune4.0ms (0%)

localize170.0ms (2.1%)

series8.0ms (0.1%)

rewrite132.0ms (1.6%)

simplify96.0ms (1.2%)

eval125.0ms (1.5%)

prune99.0ms (1.2%)

localize281.0ms (3.4%)

series72.0ms (0.9%)

rewrite247.0ms (3%)

simplify143.0ms (1.7%)

eval64.0ms (0.8%)

prune151.0ms (1.8%)

localize550.0ms (6.6%)

series5.0ms (0.1%)

rewrite121.0ms (1.5%)

simplify145.0ms (1.8%)

eval654.0ms (7.9%)

prune168.0ms (2%)

localize585.0ms (7.1%)

series8.0ms (0.1%)

rewrite175.0ms (2.1%)

simplify125.0ms (1.5%)

eval86.0ms (1%)

prune70.0ms (0.8%)

regimes159.0ms (1.9%)

regimes44.0ms (0.5%)

regimes45.0ms (0.5%)

regimes31.0ms (0.4%)

regimes27.0ms (0.3%)

regimes26.0ms (0.3%)

regimes53.0ms (0.6%)

regimes20.0ms (0.2%)

regimes13.0ms (0.2%)

regimes19.0ms (0.2%)

bsearch1.0ms (0%)

bsearch90.0ms (1.1%)

bsearch47.0ms (0.6%)

bsearch92.0ms (1.1%)

bsearch137.0ms (1.7%)

bsearch126.0ms (1.5%)

bsearch124.0ms (1.5%)

bsearch68.0ms (0.8%)

bsearch55.0ms (0.7%)

simplify65.0ms (0.8%)

soundness1.6s (18.8%)

end0.0ms (0%)

preprocess295.0ms (3.6%)

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