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)

sample581.0ms (13.2%)

Results

571.0ms

8256×

body

256

valid

Bogosity

preprocess13.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

6×	`sub-neg`
4×	`fma-def`
4×	`+-commutative`
2×	`*-commutative`
2×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
1	11	14
2	13	14
3	15	14
4	20	14
5	24	14
6	29	14

Stop Event

1×

saturated

Calls

Call 1

Inputs
(asinh.f64 x)
(asinh.f64 (neg.f64 x))

Outputs
(asinh.f64 x)
(asinh.f64 (neg.f64 x))

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative`
2×	`1-exp`
2×	`hypot-1-def`
2×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	18	27
2	19	27

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

Inputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 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)

eval1.0ms (0%)

Compiler: Compiled 33 to 20 computations (39.4% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	1	4

Accurracy

54.7%

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.7%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
▶	54.7%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)

Compiler

Compiled 20 to 14 computations (30% saved)

localize104.0ms (2.3%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (fabs.f64 x) (hypot.f64 1 x))
✓	54.7%	(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))

Compiler

Compiled 31 to 18 computations (41.9% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(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	(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))

rewrite61.0ms (1.4%)

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)

simplify128.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

80 → 149

Calls

Call 1

Inputs
(log.f64 (+.f64 1 (fabs.f64 x)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))
(+.f64 (.f64 -1/24 (.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))))
(+.f64 (.f64 -1/24 (.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (.f64 1/720 (.f64 (+.f64 (.f64 45 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (+.f64 (.f64 30 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 3))) (.f64 45 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))))) (pow.f64 x 6))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.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 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (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 (.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 (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 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (fabs.f64 x) x))))
(+.f64 (.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 -1/6 (/.f64 (+.f64 (.f64 2 (pow.f64 (fabs.f64 x) 3)) (*.f64 -3 (fabs.f64 x))) (pow.f64 x 3))))))
(+.f64 1 (fabs.f64 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (fabs.f64 x)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (fabs.f64 x))))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (fabs.f64 x)))))
x
(+.f64 (fabs.f64 x) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) 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 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (fabs.f64 x) (.f64 -1 x))) (*.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 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.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 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x))
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(.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))

eval56.0ms (1.3%)

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

prune76.0ms (1.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	138	11	149
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	139	11	150

Accurracy

100.0%

Counts

150 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.7%	(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)) x)
▶	64.2%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
	55.4%	(copysign.f64 (log1p.f64 x) x)
	33.1%	(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
▶	29.0%	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
	28.3%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
	23.7%	(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
	23.7%	(copysign.f64 (log.f64 (+.f64 x x)) x)
▶	19.2%	(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
▶	10.0%	(copysign.f64 (log.f64 (neg.f64 x)) x)
▶	2.7%	(copysign.f64 (log.f64 0) x)
	49.7%	(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)) x)
▶	64.2%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
	55.4%	(copysign.f64 (log1p.f64 x) x)
	33.1%	(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
▶	29.0%	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
	28.3%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
	23.7%	(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
	23.7%	(copysign.f64 (log.f64 (+.f64 x x)) x)
▶	19.2%	(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
▶	10.0%	(copysign.f64 (log.f64 (neg.f64 x)) x)
▶	2.7%	(copysign.f64 (log.f64 0) x)

Compiler

Compiled 356 to 240 computations (32.6% saved)

localize176.0ms (4%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	78.7%	(log.f64 (+.f64 1 (fabs.f64 x)))
✓	100.0%	(log.f64 (/.f64 -1/2 x))

Compiler

Compiled 67 to 34 computations (49.3% saved)

series103.0ms (2.3%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
31.0ms	x	@	0	(log.f64 (/.f64 -1/2 x))
25.0ms	x	@	inf	(log.f64 (+.f64 1 (fabs.f64 x)))
15.0ms	x	@	0	(log.f64 (+.f64 1 (fabs.f64 x)))
15.0ms	x	@	-inf	(log.f64 (/.f64 -1/2 x))
12.0ms	x	@	-inf	(log.f64 (+.f64 1 (fabs.f64 x)))

rewrite68.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1884×	`pow1`
1744×	`add-exp-log`
1742×	`log1p-expm1-u`
1742×	`expm1-log1p-u`
216×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	221	16
2	2670	16

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

Inputs
(log.f64 (/.f64 -1/2 x))
(log.f64 (+.f64 1 (fabs.f64 x)))

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

simplify66.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1270×	`fma-neg`
872×	`fma-def`
810×	`log-prod`
536×	`unswap-sqr`
520×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	131	806
1	270	762
2	900	762
3	3722	762
4	6455	762

Stop Event

1×	node limit

Counts

60 → 67

Calls

Call 1

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

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

eval14.0ms (0.3%)

Compiler: Compiled 694 to 476 computations (31.4% saved)

prune73.0ms (1.7%)

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	63	4	67
Fresh	0	6	6
Picked	0	5	5
Done	0	0	0
Total	63	15	78

Accurracy

100.0%

Counts

78 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.7%	(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)) x)
▶	29.0%	(copysign.f64 (-.f64 (+.f64 1 (log.f64 (/.f64 -1/2 x))) 1) x)
	48.2%	(copysign.f64 (-.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 (neg.f64 x))) x)
	29.0%	(copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x)
▶	3.8%	(copysign.f64 (log1p.f64 (-.f64 (/.f64 -1/2 x) 1)) x)
✓	64.2%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
▶	55.4%	(copysign.f64 (log1p.f64 x) x)
▶	33.1%	(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
✓	29.0%	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
	28.3%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
	23.7%	(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
▶	23.7%	(copysign.f64 (log.f64 (+.f64 x x)) x)
✓	19.2%	(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
✓	10.0%	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	2.7%	(copysign.f64 (log.f64 0) x)
	49.7%	(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)) x)
▶	29.0%	(copysign.f64 (-.f64 (+.f64 1 (log.f64 (/.f64 -1/2 x))) 1) x)
	48.2%	(copysign.f64 (-.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 (neg.f64 x))) x)
	29.0%	(copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x)
▶	3.8%	(copysign.f64 (log1p.f64 (-.f64 (/.f64 -1/2 x) 1)) x)
✓	64.2%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
▶	55.4%	(copysign.f64 (log1p.f64 x) x)
▶	33.1%	(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
✓	29.0%	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
	28.3%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
	23.7%	(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
▶	23.7%	(copysign.f64 (log.f64 (+.f64 x x)) x)
✓	19.2%	(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
✓	10.0%	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	2.7%	(copysign.f64 (log.f64 0) x)

Compiler

Compiled 452 to 310 computations (31.4% saved)

localize223.0ms (5.1%)

Compiler: Compiled 117 to 77 computations (34.2% saved)

eval0.0ms (0%)

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

prune17.0ms (0.4%)

Pruning

15 alts after pruning (5 fresh and 10 done)

	Kept	Total
New	0	0
Fresh	5	5
Picked	5	5
Done	5	5
Total	15	15

Accurracy

100.0%

Counts

15 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.7%	(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)) x)
✓	29.0%	(copysign.f64 (-.f64 (+.f64 1 (log.f64 (/.f64 -1/2 x))) 1) x)
▶	48.2%	(copysign.f64 (-.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 (neg.f64 x))) x)
▶	29.0%	(copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x)
✓	3.8%	(copysign.f64 (log1p.f64 (-.f64 (/.f64 -1/2 x) 1)) x)
✓	64.2%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
✓	55.4%	(copysign.f64 (log1p.f64 x) x)
✓	33.1%	(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
✓	29.0%	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
▶	28.3%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
▶	23.7%	(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
✓	23.7%	(copysign.f64 (log.f64 (+.f64 x x)) x)
✓	19.2%	(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
✓	10.0%	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	2.7%	(copysign.f64 (log.f64 0) x)
▶	49.7%	(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)) x)
✓	29.0%	(copysign.f64 (-.f64 (+.f64 1 (log.f64 (/.f64 -1/2 x))) 1) x)
▶	48.2%	(copysign.f64 (-.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 (neg.f64 x))) x)
▶	29.0%	(copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x)
✓	3.8%	(copysign.f64 (log1p.f64 (-.f64 (/.f64 -1/2 x) 1)) x)
✓	64.2%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
✓	55.4%	(copysign.f64 (log1p.f64 x) x)
✓	33.1%	(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
✓	29.0%	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
▶	28.3%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
▶	23.7%	(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
✓	23.7%	(copysign.f64 (log.f64 (+.f64 x x)) x)
✓	19.2%	(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
✓	10.0%	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	2.7%	(copysign.f64 (log.f64 0) x)

Compiler

Compiled 366 to 248 computations (32.2% saved)

localize243.0ms (5.5%)

Compiler: Compiled 159 to 79 computations (50.3% saved)

eval0.0ms (0%)

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

prune10.0ms (0.2%)

Pruning

15 alts after pruning (0 fresh and 15 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	5	5
Done	10	10
Total	15	15

Accurracy

100.0%

Counts

15 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.7%	(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)) x)
✓	29.0%	(copysign.f64 (-.f64 (+.f64 1 (log.f64 (/.f64 -1/2 x))) 1) x)
✓	48.2%	(copysign.f64 (-.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 (neg.f64 x))) x)
✓	29.0%	(copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x)
✓	3.8%	(copysign.f64 (log1p.f64 (-.f64 (/.f64 -1/2 x) 1)) x)
✓	64.2%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
✓	55.4%	(copysign.f64 (log1p.f64 x) x)
✓	33.1%	(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
✓	29.0%	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
✓	28.3%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
✓	23.7%	(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
✓	23.7%	(copysign.f64 (log.f64 (+.f64 x x)) x)
✓	19.2%	(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
✓	10.0%	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	2.7%	(copysign.f64 (log.f64 0) x)

Compiler

Compiled 265 to 172 computations (35.1% saved)

regimes40.0ms (0.9%)

Counts

17 → 3

Calls

Call 1

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

Outputs
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)

Calls

2 calls:

24.0ms	x
12.0ms	(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 151 to 93 computations (38.4% saved)

regimes25.0ms (0.6%)

Counts

14 → 3

Calls

Call 1

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

Outputs
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)

Calls

1 calls:

22.0ms

Results

Accuracy	Segments	Branch
99.7%	3	`x`

Compiler

Compiled 104 to 66 computations (36.5% saved)

regimes54.0ms (1.2%)

Counts

12 → 3

Calls

Call 1

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

Outputs
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)

Calls

1 calls:

51.0ms

Results

Accuracy	Segments	Branch
98.6%	3	`x`

Compiler

Compiled 83 to 54 computations (34.9% saved)

regimes23.0ms (0.5%)

Counts

11 → 3

Calls

Call 1

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

Calls

1 calls:

21.0ms

Results

Accuracy	Segments	Branch
98.4%	3	`x`

Compiler

Compiled 75 to 49 computations (34.7% saved)

regimes18.0ms (0.4%)

Counts

9 → 3

Calls

Call 1

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

Outputs
(copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
98.4%	3	`x`

Compiler

Compiled 63 to 42 computations (33.3% saved)

regimes14.0ms (0.3%)

Counts

7 → 3

Calls

Call 1

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

Outputs
(copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
98.3%	3	`x`

Compiler

Compiled 43 to 28 computations (34.9% saved)

regimes13.0ms (0.3%)

Counts

5 → 3

Calls

Call 1

Inputs
(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 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)

Outputs
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
98.3%	3	`x`

Compiler

Compiled 28 to 17 computations (39.3% saved)

regimes12.0ms (0.3%)

Counts

4 → 3

Calls

Call 1

Inputs
(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 x x)) x)

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
79.3%	3	`x`

Compiler

Compiled 22 to 13 computations (40.9% saved)

regimes7.0ms (0.2%)

Counts

3 → 2

Calls

Call 1

Inputs
(copysign.f64 (log.f64 0) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
64.1%	2	`x`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes4.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
(copysign.f64 (log.f64 0) x)
(copysign.f64 (log1p.f64 x) x)

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
55.4%	1	`x`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes21.0ms (0.5%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(copysign.f64 (log.f64 0) x)

Outputs
(copysign.f64 (log.f64 0) x)

Calls

1 calls:

20.0ms

Results

Accuracy	Segments	Branch
2.7%	1	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.39510625273424e-11	1.5595692588989174
0.0ms	-0.3311409294886779	-3.0955571434714765e-10

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch82.0ms (1.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
62.0ms	1.3951053971016792e-11	2.2732726308509883
20.0ms	-0.337226035402083	-3.0955564527376613e-10

Results

78.0ms

304×

body

256

valid

Compiler

Compiled 339 to 239 computations (29.5% saved)

bsearch34.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1.3951053971016792e-11	2.2732726308509883
12.0ms	-3.497385448021491	-0.337226035402083

Results

30.0ms

256×

body

256

valid

Compiler

Compiled 277 to 198 computations (28.5% saved)

bsearch50.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.3951053971016792e-11	2.2732726308509883
30.0ms	-3.497385448021491	-0.337226035402083

Results

47.0ms

256×

body

256

valid

Compiler

Compiled 297 to 208 computations (30% saved)

bsearch41.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.3951053971016792e-11	2.2732726308509883
21.0ms	-0.337226035402083	-3.0955564527376613e-10

Results

37.0ms

304×

body

256

valid

Compiler

Compiled 332 to 231 computations (30.4% saved)

bsearch46.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	1.3951053971016792e-11	2.2732726308509883
18.0ms	-0.337226035402083	-3.0955564527376613e-10

Results

42.0ms

304×

body

256

valid

Compiler

Compiled 292 to 201 computations (31.2% saved)

bsearch39.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.3951053971016792e-11	2.2732726308509883
19.0ms	-0.337226035402083	-3.0955564527376613e-10

Results

34.0ms

304×

body

256

valid

Compiler

Compiled 283 to 192 computations (32.2% saved)

bsearch38.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	1.3951053971016792e-11	2.2732726308509883
12.0ms	-3.497385448021491	-0.337226035402083

Results

35.0ms

256×

body

256

valid

Compiler

Compiled 235 to 156 computations (33.6% saved)

bsearch12.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-3.497385448021491	-0.337226035402083

Results

11.0ms

96×

body

256

valid

Compiler

Compiled 95 to 66 computations (30.5% saved)

simplify18.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative`
6×	`sub-neg`
6×	`*-commutative`
4×	`neg-mul-1`
4×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	739
1	100	739
2	105	739
3	107	739

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -3602879701896397/18014398509481984) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 6189700196426901/309485009821345068724781056) (copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -4533471823554859/302231454903657293676544) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 5440166188265831/604462909807314587353088) (copysign.f64 (log1p.f64 x) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -1) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5440166188265831/604462909807314587353088) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -1) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5854679515581645/9007199254740992) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)))
(if (<=.f64 x -5944751508129055/18014398509481984) (copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x) (if (<=.f64 x 5854679515581645/9007199254740992) (copysign.f64 (log1p.f64 x) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)))
(if (<=.f64 x -5944751508129055/18014398509481984) (copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x) (if (<=.f64 x 1) (copysign.f64 (log1p.f64 x) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -5944751508129055/18014398509481984) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 1) (copysign.f64 (log1p.f64 x) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -1/2) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x 1) (copysign.f64 (log1p.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))
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 0) x)

Outputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -3602879701896397/18014398509481984) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 6189700196426901/309485009821345068724781056) (copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -3602879701896397/18014398509481984) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 6189700196426901/309485009821345068724781056) (copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x)) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -4533471823554859/302231454903657293676544) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 5440166188265831/604462909807314587353088) (copysign.f64 (log1p.f64 x) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -1) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5440166188265831/604462909807314587353088) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -1) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5854679515581645/9007199254740992) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)))
(if (<=.f64 x -5944751508129055/18014398509481984) (copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x) (if (<=.f64 x 5854679515581645/9007199254740992) (copysign.f64 (log1p.f64 x) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)))
(if (<=.f64 x -5944751508129055/18014398509481984) (copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x) (if (<=.f64 x 1) (copysign.f64 (log1p.f64 x) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -5944751508129055/18014398509481984) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 1) (copysign.f64 (log1p.f64 x) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -1/2) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x 1) (copysign.f64 (log1p.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))
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 0) x)

Compiler

Compiled 280 to 184 computations (34.3% saved)

soundness1.5s (34.7%)

Rules

1884×	`pow1`
1802×	`fma-def`
1802×	`fma-def`
1802×	`fma-def`
1802×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	18	27
2	19	27
0	9	38
1	179	30
2	2314	30
0	223	2866
1	593	2444
2	1882	2068
3	7770	2064
0	223	2866
1	593	2444
2	1882	2068
3	7770	2064
0	9	38
1	179	30
2	2314	30
0	223	2866
1	593	2444
2	1882	2068
3	7770	2064
0	223	2866
1	593	2444
2	1882	2068
3	7770	2064
0	223	2866
1	593	2444
2	1882	2068
3	7770	2064
0	223	2866
1	593	2444
2	1882	2068
3	7770	2064
0	223	2866
1	593	2444
2	1882	2068
3	7770	2064
0	223	2866
1	593	2444
2	1882	2068
3	7770	2064
0	11	20
1	221	16
2	2670	16
0	131	806
1	270	762
2	900	762
3	3722	762
4	6455	762
0	223	2866
1	593	2444
2	1882	2068
3	7770	2064
0	223	2866
1	593	2444
2	1882	2068
3	7770	2064

Stop Event

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

Compiler

Compiled 1957 to 1275 computations (34.8% saved)

end0.0ms (0%)

preprocess262.0ms (5.9%)

Compiler: Compiled 608 to 340 computations (44.1% saved)

analyze0.0ms (0%)

sample581.0ms (13.2%)

preprocess13.0ms (0.3%)

simplify5.0ms (0.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize104.0ms (2.3%)

series3.0ms (0.1%)

rewrite61.0ms (1.4%)

simplify128.0ms (2.9%)

eval56.0ms (1.3%)

prune76.0ms (1.7%)

localize176.0ms (4%)

series103.0ms (2.3%)

rewrite68.0ms (1.5%)

simplify66.0ms (1.5%)

eval14.0ms (0.3%)

prune73.0ms (1.7%)

localize223.0ms (5.1%)

eval0.0ms (0%)

prune17.0ms (0.4%)

localize243.0ms (5.5%)

eval0.0ms (0%)

prune10.0ms (0.2%)

regimes40.0ms (0.9%)

regimes25.0ms (0.6%)

regimes54.0ms (1.2%)

regimes23.0ms (0.5%)

regimes18.0ms (0.4%)

regimes14.0ms (0.3%)

regimes13.0ms (0.3%)

regimes12.0ms (0.3%)

regimes7.0ms (0.2%)

regimes4.0ms (0.1%)

regimes21.0ms (0.5%)

bsearch0.0ms (0%)

bsearch82.0ms (1.9%)

bsearch34.0ms (0.8%)

bsearch50.0ms (1.1%)

bsearch41.0ms (0.9%)

bsearch46.0ms (1%)

bsearch39.0ms (0.9%)

bsearch38.0ms (0.9%)

bsearch12.0ms (0.3%)

simplify18.0ms (0.4%)

soundness1.5s (34.7%)

end0.0ms (0%)

preprocess262.0ms (5.9%)

Profiling