Metrics for Hyperbolic arc-(co)tangent

analyze12.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	75%	0%	0%	25%	0%	3
40%	25%	37.5%	0%	0%	37.5%	0%	4
66.7%	37.5%	18.7%	0%	0%	43.7%	0%	5
82.4%	43.7%	9.4%	0%	0%	46.9%	0%	6
90.9%	46.9%	4.7%	0%	0%	48.4%	0%	7
95.4%	48.4%	2.3%	0%	0%	49.2%	0%	8
97.7%	49.2%	1.2%	0%	0%	49.6%	0%	9
98.8%	49.6%	0.6%	0%	0%	49.8%	0%	10
99.4%	49.8%	0.3%	0%	0%	49.9%	0%	11
99.7%	49.9%	0.1%	0%	0%	49.9%	0%	12

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample4.3s (50.6%)

Results

2.8s	4213×	body	1024	valid
748.0ms	2011×	body	512	valid
367.0ms	430×	body	2048	valid
328.0ms	1602×	body	256	valid
2.0ms	14×	body	256	invalid

Bogosity

preprocess682.0ms (8%)

Algorithm

1×	egg-herbie

Rules

1684×	`fma-def`
1428×	`associate-+r+`
1246×	`fma-neg`
830×	`unsub-neg`
698×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	91
1	38	75
2	64	75
3	128	75
4	264	75
5	712	75
6	1976	75
7	3098	75
8	4560	75
9	5588	75
10	5849	75
11	6057	75
12	6192	75
13	6303	75
14	6594	75
15	6778	75
16	6865	75
17	7173	75
18	7293	75
19	7321	75
20	7341	75
21	7349	75
22	7349	75

Stop Event

1×	node limit

Calls

Call 1

Inputs

(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))

(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))

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

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

Compiler

Compiled 13 to 11 computations (15.4% saved)

eval1.0ms (0%)

Compiler: Compiled 19 to 15 computations (21.1% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
▶	9.3%	(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
▶	100.0%	(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
▶	9.3%	(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))

Compiler

Compiled 40 to 32 computations (20% saved)

localize319.0ms (3.8%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
✓	100.0%	(/.f64 (+.f64 1 x) (-.f64 1 x))
✓	9.3%	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

Compiler

Compiled 59 to 34 computations (42.4% saved)

series13.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
3.0ms	x	@	0	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
2.0ms	x	@	inf	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
1.0ms	x	@	inf	(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
1.0ms	x	@	-inf	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite265.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2050×	`pow1`
1902×	`add-exp-log`
1898×	`log1p-expm1-u`
1898×	`expm1-log1p-u`
256×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	57
1	277	49
2	3718	49

Stop Event

1×	node limit

Counts

3 → 123

Calls

Call 1

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

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

simplify280.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1346×	`fma-neg`
980×	`fma-def`
774×	`div-sub`
766×	`cancel-sign-sub-inv`
748×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	246	1449
1	685	1449
2	1449	1449
3	4625	1449

Stop Event

1×	node limit

Counts

159 → 110

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2 x))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2/5 (pow.f64 x 5)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2 x))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
1
(+.f64 1 (*.f64 2 x))
(+.f64 1 (+.f64 (.f64 2 x) (.f64 2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 2 x) (+.f64 (.f64 2 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(*.f64 2 x)
(+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2 x))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2/5 (pow.f64 x 5)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2 x))))
(*.f64 -1 (log.f64 -1))
(+.f64 (.f64 -1 (log.f64 -1)) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1 (log.f64 -1)) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 -1 (log.f64 -1)) (+.f64 (.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(-.f64 (log1p.f64 x) (log1p.f64 x))
(-.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 (+.f64 x -1)))
(-.f64 (+.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))) (/.f64 (pow.f64 (log1p.f64 x) 3) (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (+.f64 (log1p.f64 x) (log1p.f64 x))) (/.f64 (pow.f64 (log1p.f64 x) 2) (+.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (+.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (+.f64 (log1p.f64 x) (log1p.f64 x))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log1p.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))) (.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (-.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(neg.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(fma.f64 1 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(-.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))
(-.f64 (+.f64 1 (/.f64 (+.f64 1 x) (+.f64 1 x))) 1)
(*.f64 1 (/.f64 (+.f64 1 x) (+.f64 1 x)))
(*.f64 (+.f64 1 x) (/.f64 -1 (+.f64 x -1)))
(*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2) (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(.f64 (sqrt.f64 (+.f64 1 x)) (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))))
(*.f64 (+.f64 x -1) (/.f64 1 (+.f64 x -1)))
(*.f64 (/.f64 -1 (+.f64 x -1)) (+.f64 1 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (+.f64 1 x) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1) (/.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (+.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(.f64 (/.f64 (+.f64 1 x) (+.f64 1 (.f64 x x))) (+.f64 1 x))
(*.f64 (/.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1)
(pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) -1)
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(*.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (+.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (+.f64 (log1p.f64 x) (log1p.f64 x))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log1p.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))) (.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (-.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(neg.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(log.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(fma.f64 1 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))

Outputs
(*.f64 2 x)
(+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2 x))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))
(+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2/5 (pow.f64 x 5)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2 x))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))))
(log.f64 -1)
(*.f64 2 x)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(*.f64 2 x)
(+.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 -1) (+.f64 (.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))
(log.f64 -1)
(*.f64 2 x)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(*.f64 2 x)
(+.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 -1) (+.f64 (.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))
1
(*.f64 2 x)
(+.f64 1 (*.f64 2 x))
(*.f64 2 x)
(+.f64 1 (+.f64 (.f64 2 x) (.f64 2 (pow.f64 x 2))))
(*.f64 2 x)
(+.f64 1 (+.f64 (.f64 2 x) (+.f64 (.f64 2 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 3)))))
(*.f64 2 x)
-1
(*.f64 2 x)
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(*.f64 2 x)
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(*.f64 2 x)
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(*.f64 2 x)
-1
(*.f64 2 x)
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(*.f64 2 x)
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(*.f64 2 x)
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(*.f64 2 x)
(*.f64 2 x)
(+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2 x))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2/5 (pow.f64 x 5)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))
(+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2/5 (pow.f64 x 5)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2 x))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))))
(*.f64 -1 (log.f64 -1))
(*.f64 2 x)
(+.f64 (.f64 -1 (log.f64 -1)) (.f64 2 (/.f64 1 x)))
(*.f64 2 x)
(+.f64 (.f64 -1 (log.f64 -1)) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 -1 (log.f64 -1)) (+.f64 (.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x)))))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))
(log.f64 -1)
(*.f64 2 x)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(*.f64 2 x)
(+.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 -1) (+.f64 (.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(*.f64 2 x)
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(*.f64 2 x)
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(*.f64 2 x)
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (log1p.f64 x)))
(*.f64 2 x)
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 2 x)
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 2 x)
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
(*.f64 2 x)
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(*.f64 2 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(*.f64 2 x)
(-.f64 (log1p.f64 x) (log1p.f64 x))
(*.f64 2 x)
(-.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 2 x)
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 (+.f64 x -1)))
(*.f64 2 x)
(-.f64 (+.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x))) 1)
(*.f64 2 x)
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))) (/.f64 (pow.f64 (log1p.f64 x) 3) (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(*.f64 2 x)
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (+.f64 (log1p.f64 x) (log1p.f64 x))) (/.f64 (pow.f64 (log1p.f64 x) 2) (+.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(*.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 2 x)
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 2 x)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2)))
(*.f64 2 x)
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(*.f64 2 x)
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(*.f64 2 x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))))
(*.f64 2 x)
(/.f64 1 (/.f64 (+.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))))
(*.f64 2 x)
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))))
(*.f64 2 x)
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (+.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 2 x)
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(*.f64 2 x)
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (+.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log1p.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))) (.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))))
(*.f64 2 x)
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (-.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(*.f64 2 x)
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 2 x)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(*.f64 2 x)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(*.f64 2 x)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(*.f64 2 x)
(neg.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 2 x)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(*.f64 2 x)
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(*.f64 2 x)
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 1))
(*.f64 2 x)
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(fma.f64 1 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(*.f64 2 x)
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(*.f64 2 x)
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(*.f64 2 x)
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(-.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))
(*.f64 2 x)
(-.f64 (+.f64 1 (/.f64 (+.f64 1 x) (+.f64 1 x))) 1)
(*.f64 2 x)
(*.f64 1 (/.f64 (+.f64 1 x) (+.f64 1 x)))
(*.f64 2 x)
(*.f64 (+.f64 1 x) (/.f64 -1 (+.f64 x -1)))
(*.f64 2 x)
(*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1)
(*.f64 2 x)
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2))
(*.f64 2 x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2) (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(*.f64 2 x)
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))))
(*.f64 2 x)
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(*.f64 2 x)
(.f64 (sqrt.f64 (+.f64 1 x)) (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))))
(*.f64 2 x)
(*.f64 (+.f64 x -1) (/.f64 1 (+.f64 x -1)))
(*.f64 2 x)
(*.f64 (/.f64 -1 (+.f64 x -1)) (+.f64 1 x))
(*.f64 2 x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (+.f64 1 x) (cbrt.f64 (+.f64 1 x))))
(*.f64 2 x)
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x))))
(*.f64 2 x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 1 x)))
(*.f64 2 x)
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1) (/.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 1 x)))
(*.f64 2 x)
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x))))
(*.f64 2 x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(*.f64 2 x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (+.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(*.f64 2 x)
(.f64 (/.f64 (+.f64 1 x) (+.f64 1 (.f64 x x))) (+.f64 1 x))
(*.f64 2 x)
(*.f64 (/.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 2 x)
(pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1)
(*.f64 2 x)
(pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) -1)
(*.f64 2 x)
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 2 x)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 3)
(*.f64 2 x)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 3) 1/3)
(*.f64 2 x)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2)
(*.f64 2 x)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)))
(*.f64 2 x)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 2))
(*.f64 2 x)
(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(*.f64 2 x)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 3))
(*.f64 2 x)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)))
(*.f64 2 x)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(*.f64 2 x)
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 2 x)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(*.f64 2 x)
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(*.f64 2 x)
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(*.f64 2 x)
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(*.f64 2 x)
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (log1p.f64 x)))
(*.f64 2 x)
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 2 x)
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 2 x)
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
(*.f64 2 x)
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(*.f64 2 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(*.f64 2 x)
(*.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 2 x)
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 2 x)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2)))
(*.f64 2 x)
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(*.f64 2 x)
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(*.f64 2 x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))))
(*.f64 2 x)
(/.f64 1 (/.f64 (+.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))))
(*.f64 2 x)
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))))
(*.f64 2 x)
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (+.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 2 x)
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(*.f64 2 x)
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (+.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log1p.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))) (.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))))
(*.f64 2 x)
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (-.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(*.f64 2 x)
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 2 x)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(*.f64 2 x)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(*.f64 2 x)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(*.f64 2 x)
(neg.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 2 x)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(*.f64 2 x)
(log.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))
(*.f64 2 x)
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(*.f64 2 x)
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 1))
(*.f64 2 x)
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(fma.f64 1 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(*.f64 2 x)
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(*.f64 2 x)
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(*.f64 2 x)

eval141.0ms (1.7%)

Compiler: Compiled 1670 to 1118 computations (33.1% saved)

prune49.0ms (0.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	108	4	112

Accuracy

100.0%

Counts

112 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
▶	99.5%	(.f64 1/2 (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
▶	98.7%	(.f64 1/2 (.f64 2 x))
✓	9.3%	(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
✓	100.0%	(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
▶	99.5%	(.f64 1/2 (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
▶	98.7%	(.f64 1/2 (.f64 2 x))
✓	9.3%	(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))

Compiler

Compiled 76 to 62 computations (18.4% saved)

localize104.0ms (1.2%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	99.8%	(*.f64 2/3 (pow.f64 x 3))

Compiler

Compiled 49 to 38 computations (22.4% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite55.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1204×	`pow1`
1126×	`add-exp-log`
1126×	`log1p-expm1-u`
1126×	`expm1-log1p-u`
1102×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	149	13
2	1571	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 2/3 (pow.f64 x 3))

Outputs
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(pow.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 2/3) (pow.f64 x 3/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))

simplify58.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

2262×	`log-prod`
952×	`exp-sum`
820×	`distribute-rgt-in`
818×	`distribute-lft-in`
644×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	275
1	98	209
2	312	143
3	1878	143
4	6000	143

Stop Event

1×	node limit

Counts

11 → 14

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(pow.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 2/3) (pow.f64 x 3/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))

Outputs
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 (sqrt.f64 2/3) (pow.f64 x 3/2)) 2)
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3))
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))

eval4.0ms (0.1%)

Compiler: Compiled 187 to 159 computations (15% saved)

prune6.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	13	5	18

Accuracy

100.0%

Counts

18 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
▶	99.2%	(.f64 1/2 (+.f64 (-.f64 (+.f64 1 (.f64 2/3 (pow.f64 x 3))) 1) (*.f64 2 x)))
✓	99.5%	(.f64 1/2 (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
✓	98.7%	(.f64 1/2 (.f64 2 x))
✓	9.3%	(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
✓	100.0%	(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
▶	99.2%	(.f64 1/2 (+.f64 (-.f64 (+.f64 1 (.f64 2/3 (pow.f64 x 3))) 1) (*.f64 2 x)))
✓	99.5%	(.f64 1/2 (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
✓	98.7%	(.f64 1/2 (.f64 2 x))
✓	9.3%	(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))

Compiler

Compiled 108 to 90 computations (16.7% saved)

localize229.0ms (2.7%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
	99.8%	(*.f64 2/3 (pow.f64 x 3))
✓	65.3%	(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)

Compiler

Compiled 63 to 53 computations (15.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite64.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1952×	`pow1`
1836×	`add-exp-log`
1834×	`log1p-expm1-u`
1834×	`expm1-log1p-u`
216×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	224	13
2	2803	13

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)

Outputs
(+.f64 1 (fma.f64 2/3 (pow.f64 x 3) -1))
(+.f64 1 (*.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(+.f64 (fma.f64 2/3 (pow.f64 x 3) 1) -1)
(+.f64 -1 (fma.f64 2/3 (pow.f64 x 3) 1))
(+.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 1)
(.f64 1 (.f64 2/3 (pow.f64 x 3)))
(*.f64 2/3 (pow.f64 x 3))
(.f64 x (.f64 (*.f64 x x) 2/3))
(*.f64 (pow.f64 x 3) 2/3)
(.f64 (.f64 2/3 (pow.f64 x 3)) 1)
(.f64 (.f64 x (cbrt.f64 2/3)) (cbrt.f64 (*.f64 (pow.f64 x 6) 4/9)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 6) 4/9)) (*.f64 x (cbrt.f64 2/3)))
(.f64 (.f64 x x) (*.f64 x 2/3))
(.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)))
(.f64 (pow.f64 x 3/2) (.f64 (pow.f64 x 3/2) 2/3))
(.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) (+.f64 (.f64 2/3 (pow.f64 x 3)) 2))))
(.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) -1) (/.f64 1 (+.f64 (.f64 2/3 (pow.f64 x 3)) 2)))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) 1))
(.f64 (.f64 2/3 x) (*.f64 x x))
(.f64 (.f64 2/3 (*.f64 x x)) x)
(.f64 (.f64 2/3 (pow.f64 x 3/2)) (pow.f64 x 3/2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 2/3 (pow.f64 x 3)) 2)) (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (*.f64 2/3 (pow.f64 x 3)) 2) (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) -1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 2/3 (pow.f64 x 3)) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) (-.f64 1 (*.f64 (fma.f64 2/3 (pow.f64 x 3) 1) -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) -1) (+.f64 (*.f64 2/3 (pow.f64 x 3)) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) -1) (-.f64 (fma.f64 2/3 (pow.f64 x 3) 1) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 2/3 (pow.f64 x 3)) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 2/3 (pow.f64 x 3)) 2)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 2/3 (pow.f64 x 3) -1) (fma.f64 2/3 (pow.f64 x 3) -1)) (fma.f64 2/3 (pow.f64 x 3) -1))))
(/.f64 (-.f64 1 (*.f64 (fma.f64 2/3 (pow.f64 x 3) -1) (fma.f64 2/3 (pow.f64 x 3) -1))) (-.f64 1 (fma.f64 2/3 (pow.f64 x 3) -1)))
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 2/3 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(fma.f64 1 (fma.f64 2/3 (pow.f64 x 3) 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) 2) (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) -1)

simplify85.0ms (1%)

Algorithm

1×	egg-herbie

Rules

980×	`distribute-lft-neg-in`
926×	`div-sub`
920×	`fma-def`
912×	`associate-r`
854×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	1282
1	280	1238
2	847	1226
3	5063	1226

Stop Event

1×	node limit

Counts

58 → 55

Calls

Call 1

Inputs
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(+.f64 1 (fma.f64 2/3 (pow.f64 x 3) -1))
(+.f64 1 (*.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(+.f64 (fma.f64 2/3 (pow.f64 x 3) 1) -1)
(+.f64 -1 (fma.f64 2/3 (pow.f64 x 3) 1))
(+.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 1)
(.f64 1 (.f64 2/3 (pow.f64 x 3)))
(*.f64 2/3 (pow.f64 x 3))
(.f64 x (.f64 (*.f64 x x) 2/3))
(*.f64 (pow.f64 x 3) 2/3)
(.f64 (.f64 2/3 (pow.f64 x 3)) 1)
(.f64 (.f64 x (cbrt.f64 2/3)) (cbrt.f64 (*.f64 (pow.f64 x 6) 4/9)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 6) 4/9)) (*.f64 x (cbrt.f64 2/3)))
(.f64 (.f64 x x) (*.f64 x 2/3))
(.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)))
(.f64 (pow.f64 x 3/2) (.f64 (pow.f64 x 3/2) 2/3))
(.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) (+.f64 (.f64 2/3 (pow.f64 x 3)) 2))))
(.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) -1) (/.f64 1 (+.f64 (.f64 2/3 (pow.f64 x 3)) 2)))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) 1))
(.f64 (.f64 2/3 x) (*.f64 x x))
(.f64 (.f64 2/3 (*.f64 x x)) x)
(.f64 (.f64 2/3 (pow.f64 x 3/2)) (pow.f64 x 3/2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 2/3 (pow.f64 x 3)) 2)) (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (*.f64 2/3 (pow.f64 x 3)) 2) (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) -1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 2/3 (pow.f64 x 3)) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) (-.f64 1 (*.f64 (fma.f64 2/3 (pow.f64 x 3) 1) -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) -1) (+.f64 (*.f64 2/3 (pow.f64 x 3)) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) -1) (-.f64 (fma.f64 2/3 (pow.f64 x 3) 1) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 2/3 (pow.f64 x 3)) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 2/3 (pow.f64 x 3)) 2)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 2/3 (pow.f64 x 3) -1) (fma.f64 2/3 (pow.f64 x 3) -1)) (fma.f64 2/3 (pow.f64 x 3) -1))))
(/.f64 (-.f64 1 (*.f64 (fma.f64 2/3 (pow.f64 x 3) -1) (fma.f64 2/3 (pow.f64 x 3) -1))) (-.f64 1 (fma.f64 2/3 (pow.f64 x 3) -1)))
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 2/3 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(fma.f64 1 (fma.f64 2/3 (pow.f64 x 3) 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) 2) (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) -1)

Outputs
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(+.f64 1 (fma.f64 2/3 (pow.f64 x 3) -1))
(*.f64 2/3 (pow.f64 x 3))
(+.f64 1 (*.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 1))
(*.f64 2/3 (pow.f64 x 3))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(+.f64 (fma.f64 2/3 (pow.f64 x 3) 1) -1)
(*.f64 2/3 (pow.f64 x 3))
(+.f64 -1 (fma.f64 2/3 (pow.f64 x 3) 1))
(*.f64 2/3 (pow.f64 x 3))
(+.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 1)
(*.f64 2/3 (pow.f64 x 3))
(.f64 1 (.f64 2/3 (pow.f64 x 3)))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(.f64 x (.f64 (*.f64 x x) 2/3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 2/3)
(*.f64 2/3 (pow.f64 x 3))
(.f64 (.f64 2/3 (pow.f64 x 3)) 1)
(*.f64 2/3 (pow.f64 x 3))
(.f64 (.f64 x (cbrt.f64 2/3)) (cbrt.f64 (*.f64 (pow.f64 x 6) 4/9)))
(.f64 x (.f64 (cbrt.f64 2/3) (cbrt.f64 (*.f64 4/9 (pow.f64 x 6)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 6) 4/9)) (*.f64 x (cbrt.f64 2/3)))
(.f64 x (.f64 (cbrt.f64 2/3) (cbrt.f64 (*.f64 4/9 (pow.f64 x 6)))))
(.f64 (.f64 x x) (*.f64 x 2/3))
(*.f64 2/3 (pow.f64 x 3))
(.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)))
(*.f64 2/3 (pow.f64 x 3))
(.f64 (pow.f64 x 3/2) (.f64 (pow.f64 x 3/2) 2/3))
(*.f64 2/3 (pow.f64 x 3))
(.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) (+.f64 (.f64 2/3 (pow.f64 x 3)) 2))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) (fma.f64 2/3 (pow.f64 x 3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3)) (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) (fma.f64 2/3 (pow.f64 x 3) 2)))
(.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) -1) (/.f64 1 (+.f64 (.f64 2/3 (pow.f64 x 3)) 2)))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) 1))
(*.f64 2/3 (pow.f64 x 3))
(.f64 (.f64 2/3 x) (*.f64 x x))
(*.f64 2/3 (pow.f64 x 3))
(.f64 (.f64 2/3 (*.f64 x x)) x)
(*.f64 2/3 (pow.f64 x 3))
(.f64 (.f64 2/3 (pow.f64 x 3/2)) (pow.f64 x 3/2))
(*.f64 2/3 (pow.f64 x 3))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 2/3 (pow.f64 x 3)) 2)) (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) (fma.f64 2/3 (pow.f64 x 3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3)) (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) (fma.f64 2/3 (pow.f64 x 3) 2)))
(/.f64 1 (/.f64 (+.f64 (*.f64 2/3 (pow.f64 x 3)) 2) (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) -1)))
(*.f64 2/3 (pow.f64 x 3))
(/.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 2/3 (pow.f64 x 3)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) (fma.f64 2/3 (pow.f64 x 3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3)) (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) (fma.f64 2/3 (pow.f64 x 3) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) (-.f64 1 (*.f64 (fma.f64 2/3 (pow.f64 x 3) 1) -1))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) (fma.f64 2/3 (pow.f64 x 3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3)) (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) (fma.f64 2/3 (pow.f64 x 3) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) -1) (+.f64 (*.f64 2/3 (pow.f64 x 3)) 2))
(*.f64 2/3 (pow.f64 x 3))
(/.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) -1) (-.f64 (fma.f64 2/3 (pow.f64 x 3) 1) -1))
(*.f64 2/3 (pow.f64 x 3))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 2/3 (pow.f64 x 3)) 2))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) (fma.f64 2/3 (pow.f64 x 3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 3)) (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) (fma.f64 2/3 (pow.f64 x 3) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 2/3 (pow.f64 x 3)) 2)))
(*.f64 2/3 (pow.f64 x 3))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 2/3 (pow.f64 x 3) -1) (fma.f64 2/3 (pow.f64 x 3) -1)) (fma.f64 2/3 (pow.f64 x 3) -1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 3)) (+.f64 1 (*.f64 (fma.f64 2/3 (pow.f64 x 3) -1) (-.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) -1) 3)) (fma.f64 (fma.f64 2/3 (pow.f64 x 3) -1) (+.f64 (*.f64 2/3 (pow.f64 x 3)) -2) 1))
(/.f64 (-.f64 1 (*.f64 (fma.f64 2/3 (pow.f64 x 3) -1) (fma.f64 2/3 (pow.f64 x 3) -1))) (-.f64 1 (fma.f64 2/3 (pow.f64 x 3) -1)))
(/.f64 (fma.f64 (fma.f64 2/3 (pow.f64 x 3) -1) (fma.f64 (pow.f64 x 3) -2/3 1) 1) (+.f64 (*.f64 (pow.f64 x 3) -2/3) 2))
(/.f64 (fma.f64 (fma.f64 2/3 (pow.f64 x 3) -1) (fma.f64 (pow.f64 x 3) -2/3 1) 1) (+.f64 2 (*.f64 (pow.f64 x 3) -2/3)))
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))
(cbrt.f64 (.f64 (.f64 x (pow.f64 x 8)) 8/27))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)
(*.f64 2/3 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(sqrt.f64 (*.f64 4/9 (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(*.f64 2/3 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))
(cbrt.f64 (.f64 (.f64 x (pow.f64 x 8)) 8/27))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (.f64 (log.f64 (.f64 2/3 (pow.f64 x 3))) 1))
(*.f64 2/3 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(*.f64 2/3 (pow.f64 x 3))
(fma.f64 1 (fma.f64 2/3 (pow.f64 x 3) 1) -1)
(*.f64 2/3 (pow.f64 x 3))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) 2) (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) -1)
(*.f64 2/3 (pow.f64 x 3))
(fma.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) 1)) -1)
(*.f64 2/3 (pow.f64 x 3))

eval93.0ms (1.1%)

Compiler: Compiled 1345 to 1154 computations (14.2% saved)

prune35.0ms (0.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	69	5	74

Accuracy

100.0%

Counts

74 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
✓	99.2%	(.f64 1/2 (+.f64 (-.f64 (+.f64 1 (.f64 2/3 (pow.f64 x 3))) 1) (*.f64 2 x)))
▶	99.5%	(.f64 1/2 (+.f64 (.f64 (.f64 x x) (.f64 x 2/3)) (*.f64 2 x)))
✓	98.7%	(.f64 1/2 (.f64 2 x))
✓	9.3%	(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
✓	100.0%	(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
✓	99.2%	(.f64 1/2 (+.f64 (-.f64 (+.f64 1 (.f64 2/3 (pow.f64 x 3))) 1) (*.f64 2 x)))
▶	99.5%	(.f64 1/2 (+.f64 (.f64 (.f64 x x) (.f64 x 2/3)) (*.f64 2 x)))
✓	98.7%	(.f64 1/2 (.f64 2 x))
✓	9.3%	(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))

Compiler

Compiled 112 to 90 computations (19.6% saved)

localize72.0ms (0.8%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.8%	(.f64 (.f64 x x) (*.f64 x 2/3))
✓	99.5%	(*.f64 x 2/3)

Compiler

Compiled 46 to 27 computations (41.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 x 2/3)
0.0ms	x	@	inf	(*.f64 x 2/3)
0.0ms	x	@	-inf	(*.f64 x 2/3)
0.0ms	x	@	inf	(.f64 (.f64 x x) (*.f64 x 2/3))
0.0ms	x	@	-inf	(.f64 (.f64 x x) (*.f64 x 2/3))

rewrite62.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1274×	`pow1`
1176×	`add-exp-log`
1176×	`log1p-expm1-u`
1176×	`expm1-log1p-u`
1150×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	26
1	143	20
2	1671	20

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(*.f64 x 2/3)
(.f64 (.f64 x x) (*.f64 x 2/3))

Outputs
(-.f64 (+.f64 1 (*.f64 x 2/3)) 1)
(pow.f64 (*.f64 x 2/3) 1)
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(sqrt.f64 (pow.f64 (*.f64 x 2/3) 2))
(log.f64 (pow.f64 (exp.f64 2/3) x))
(cbrt.f64 (pow.f64 (*.f64 x 2/3) 3))
(expm1.f64 (log1p.f64 (*.f64 x 2/3)))
(exp.f64 (log.f64 (*.f64 x 2/3)))
(log1p.f64 (expm1.f64 (*.f64 x 2/3)))
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(pow.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (.f64 x (sqrt.f64 (.f64 x 2/3))) 2)
(sqrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 4/9))
(log.f64 (exp.f64 (*.f64 2/3 (pow.f64 x 3))))
(cbrt.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))

simplify52.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1870×	`log-prod`
1228×	`associate-r`
1032×	`fma-def`
1014×	`associate-l`
504×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	460
1	143	460
2	525	460
3	3621	460

Stop Event

1×	node limit

Counts

46 → 24

Calls

Call 1

Inputs
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(-.f64 (+.f64 1 (*.f64 x 2/3)) 1)
(pow.f64 (*.f64 x 2/3) 1)
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(sqrt.f64 (pow.f64 (*.f64 x 2/3) 2))
(log.f64 (pow.f64 (exp.f64 2/3) x))
(cbrt.f64 (pow.f64 (*.f64 x 2/3) 3))
(expm1.f64 (log1p.f64 (*.f64 x 2/3)))
(exp.f64 (log.f64 (*.f64 x 2/3)))
(log1p.f64 (expm1.f64 (*.f64 x 2/3)))
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(pow.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (.f64 x (sqrt.f64 (.f64 x 2/3))) 2)
(sqrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 4/9))
(log.f64 (exp.f64 (*.f64 2/3 (pow.f64 x 3))))
(cbrt.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))

Outputs
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(-.f64 (+.f64 1 (*.f64 x 2/3)) 1)
(*.f64 2/3 x)
(pow.f64 (*.f64 x 2/3) 1)
(*.f64 2/3 x)
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(*.f64 2/3 x)
(pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3)
(*.f64 2/3 x)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(*.f64 2/3 x)
(sqrt.f64 (pow.f64 (*.f64 x 2/3) 2))
(*.f64 2/3 x)
(log.f64 (pow.f64 (exp.f64 2/3) x))
(*.f64 2/3 x)
(cbrt.f64 (pow.f64 (*.f64 x 2/3) 3))
(*.f64 2/3 x)
(expm1.f64 (log1p.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(exp.f64 (log.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(log1p.f64 (expm1.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3) 1/3)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (.f64 x (sqrt.f64 (.f64 x 2/3))) 2)
(*.f64 2/3 (pow.f64 x 3))
(sqrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 4/9))
(*.f64 2/3 (pow.f64 x 3))
(log.f64 (exp.f64 (*.f64 2/3 (pow.f64 x 3))))
(*.f64 2/3 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3))
(*.f64 2/3 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(*.f64 2/3 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(*.f64 2/3 (pow.f64 x 3))

eval7.0ms (0.1%)

Compiler: Compiled 347 to 261 computations (24.8% saved)

prune7.0ms (0.1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	24	5	29

Accuracy

100.0%

Counts

29 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
✓	99.2%	(.f64 1/2 (+.f64 (-.f64 (+.f64 1 (.f64 2/3 (pow.f64 x 3))) 1) (*.f64 2 x)))
✓	99.5%	(.f64 1/2 (+.f64 (.f64 (.f64 x x) (.f64 x 2/3)) (*.f64 2 x)))
✓	98.7%	(.f64 1/2 (.f64 2 x))
✓	9.3%	(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))

Compiler

Compiled 131 to 105 computations (19.8% saved)

regimes16.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	x
2.0ms	(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
2.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
2.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))`
100.0%	1	`(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))`
100.0%	1	`(/.f64 (+.f64 1 x) (-.f64 1 x))`

Compiler

Compiled 107 to 85 computations (20.6% saved)

regimes18.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(.f64 1/2 (+.f64 (.f64 (.f64 x x) (.f64 x 2/3)) (*.f64 2 x)))

Calls

4 calls:

7.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
5.0ms	x
2.0ms	(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
2.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))`
99.5%	1	`(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))`
99.5%	1	`(/.f64 (+.f64 1 x) (-.f64 1 x))`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 1/2 (.f64 2 x))

Outputs
(.f64 1/2 (.f64 2 x))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.7%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	75
1	32	75
2	37	75
3	40	75
4	41	75

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

Outputs
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(.f64 1/2 (+.f64 (.f64 (.f64 x x) (.f64 x 2/3)) (*.f64 2 x)))
(.f64 1/2 (+.f64 (.f64 (.f64 x x) (.f64 x 2/3)) (*.f64 x 2)))
(.f64 1/2 (.f64 2 x))
(.f64 1/2 (.f64 x 2))

Compiler

Compiled 29 to 22 computations (24.1% saved)

soundness1.4s (16.7%)

Rules

1952×	`pow1`
1836×	`add-exp-log`
1834×	`log1p-expm1-u`
1834×	`expm1-log1p-u`
1684×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	91
1	38	75
2	64	75
3	128	75
4	264	75
5	712	75
6	1976	75
7	3098	75
8	4560	75
9	5588	75
10	5849	75
11	6057	75
12	6192	75
13	6303	75
14	6594	75
15	6778	75
16	6865	75
17	7173	75
18	7293	75
19	7321	75
20	7341	75
21	7349	75
22	7349	75
0	19	91
1	38	75
2	64	75
3	128	75
4	264	75
5	712	75
6	1976	75
7	3098	75
8	4560	75
9	5588	75
10	5849	75
11	6057	75
12	6192	75
13	6303	75
14	6594	75
15	6778	75
16	6865	75
17	7173	75
18	7293	75
19	7321	75
20	7341	75
21	7349	75
22	7349	75
0	7	13
1	149	13
2	1571	13
0	10	25
1	224	13
2	2803	13

Stop Event

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

Compiler

Compiled 265 to 215 computations (18.9% saved)

end0.0ms (0%)

preprocess37.0ms (0.4%)

Compiler: Compiled 80 to 62 computations (22.5% saved)

analyze12.0ms (0.1%)

sample4.3s (50.6%)

preprocess682.0ms (8%)

eval1.0ms (0%)

prune2.0ms (0%)

localize319.0ms (3.8%)

series13.0ms (0.1%)

rewrite265.0ms (3.1%)

simplify280.0ms (3.3%)

eval141.0ms (1.7%)

prune49.0ms (0.6%)

localize104.0ms (1.2%)

series2.0ms (0%)

rewrite55.0ms (0.6%)

simplify58.0ms (0.7%)

eval4.0ms (0.1%)

prune6.0ms (0.1%)

localize229.0ms (2.7%)

series1.0ms (0%)

rewrite64.0ms (0.8%)

simplify85.0ms (1%)

eval93.0ms (1.1%)

prune35.0ms (0.4%)

localize72.0ms (0.8%)

series1.0ms (0%)

rewrite62.0ms (0.7%)

simplify52.0ms (0.6%)

eval7.0ms (0.1%)

prune7.0ms (0.1%)

regimes16.0ms (0.2%)

regimes18.0ms (0.2%)

regimes3.0ms (0%)

simplify6.0ms (0.1%)

soundness1.4s (16.7%)

end0.0ms (0%)

preprocess37.0ms (0.4%)

Profiling