Metrics for Hyperbolic arc-(co)tangent

analyze4.0ms (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)

sample2.8s (47.6%)

Results

1.7s	4188×	body	1024	valid
478.0ms	2046×	body	512	valid
364.0ms	1609×	body	256	valid
244.0ms	413×	body	2048	valid
1.0ms	14×	body	256	invalid

Bogosity

preprocess477.0ms (8%)

Algorithm

1×	egg-herbie

Rules

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

Problems

254×	`(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))`
2×	No Errors

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 54 to 43 computations (20.4% 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))))
▶	8.8%	(*.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))))
▶	8.8%	(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))

Compiler

Compiled 40 to 32 computations (20% saved)

localize225.0ms (3.8%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
✓	100.0%	(log1p.f64 (neg.f64 x))
✓	100.0%	(/.f64 (+.f64 1 x) (-.f64 1 x))
✓	8.8%	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

Compiler

Compiled 59 to 34 computations (42.4% saved)

series4.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
1.0ms	x	@	0	(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
0.0ms	x	@	inf	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
0.0ms	x	@	0	(log1p.f64 (neg.f64 x))
0.0ms	x	@	inf	(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))

rewrite111.0ms (1.9%)

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	66
1	277	54
2	3718	54

Stop Event

1×	node limit

Counts

4 → 144

Calls

Call 1

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

simplify114.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

784×	`associate-/l*`
636×	`fma-neg`
548×	`cancel-sign-sub-inv`
516×	`log-prod`
502×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	309	1940
1	839	1834
2	2186	1800
3	7948	1800

Stop Event

1×	node limit

Counts

192 → 216

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

eval61.0ms (1%)

Compiler: Compiled 3261 to 2225 computations (31.8% saved)

prune54.0ms (0.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	212	4	216
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	212	6	218

Accuracy

100.0%

Counts

218 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.7%	(*.f64 1/2 (-.f64 (log1p.f64 x) (neg.f64 x)))
✓	100.0%	(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
▶	99.3%	(.f64 1/2 (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
▶	98.6%	(.f64 1/2 (.f64 2 x))
✓	8.8%	(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
▶	5.3%	(*.f64 1/2 0)
▶	97.7%	(*.f64 1/2 (-.f64 (log1p.f64 x) (neg.f64 x)))
✓	100.0%	(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
▶	99.3%	(.f64 1/2 (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
▶	98.6%	(.f64 1/2 (.f64 2 x))
✓	8.8%	(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
▶	5.3%	(*.f64 1/2 0)

Compiler

Compiled 100 to 82 computations (18% saved)

localize89.0ms (1.5%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (log1p.f64 x) (neg.f64 x))
✓	99.8%	(*.f64 2/3 (pow.f64 x 3))

Compiler

Compiled 72 to 49 computations (31.9% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite62.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1970×	`pow1`
1834×	`add-exp-log`
1832×	`log1p-expm1-u`
1832×	`expm1-log1p-u`
234×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	240	24
2	3005	24

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

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

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

simplify69.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1404×	`fma-def`
1288×	`fma-neg`
728×	`log-prod`
568×	`associate-/l*`
546×	`associate-/r*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	156	1348
1	391	1208
2	1416	1136
3	6599	1132

Stop Event

1×	node limit

Counts

60 → 96

Calls

Call 1

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

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

eval25.0ms (0.4%)

Compiler: Compiled 1307 to 839 computations (35.8% saved)

prune18.0ms (0.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	93	3	96
Fresh	0	0	0
Picked	2	2	4
Done	0	2	2
Total	95	7	102

Accuracy

100.0%

Counts

102 → 7

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))))
✓	99.3%	(.f64 1/2 (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
▶	97.7%	(*.f64 1/2 (+.f64 (log1p.f64 x) x))
▶	97.7%	(.f64 1/2 (.f64 x (+.f64 2 (*.f64 x -1/2))))
✓	98.6%	(.f64 1/2 (.f64 2 x))
✓	8.8%	(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
▶	18.8%	(*.f64 1/2 x)
✓	100.0%	(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
✓	99.3%	(.f64 1/2 (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
▶	97.7%	(*.f64 1/2 (+.f64 (log1p.f64 x) x))
▶	97.7%	(.f64 1/2 (.f64 x (+.f64 2 (*.f64 x -1/2))))
✓	98.6%	(.f64 1/2 (.f64 2 x))
✓	8.8%	(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
▶	18.8%	(*.f64 1/2 x)

Compiler

Compiled 118 to 94 computations (20.3% saved)

localize57.0ms (1%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (log1p.f64 x) x)
✓	100.0%	(.f64 x (+.f64 2 (.f64 x -1/2)))

Compiler

Compiled 49 to 31 computations (36.7% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(.f64 x (+.f64 2 (.f64 x -1/2)))
0.0ms	x	@	0	(.f64 x (+.f64 2 (.f64 x -1/2)))
0.0ms	x	@	-inf	(.f64 x (+.f64 2 (.f64 x -1/2)))
0.0ms	x	@	-inf	(+.f64 (log1p.f64 x) x)
0.0ms	x	@	inf	(+.f64 (log1p.f64 x) x)

rewrite75.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1530×	`prod-diff`
1120×	`log-prod`
666×	`fma-def`
516×	`pow-prod-up`
514×	`pow-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	245	26
2	3294	26

Stop Event

1×	node limit

Counts

2 → 106

Calls

Call 1

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

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

simplify66.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1268×	`times-frac`
878×	`distribute-lft-in`
820×	`distribute-rgt-in`
782×	`unswap-sqr`
370×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	291	2748
1	737	2622
2	2149	2566

Stop Event

1×	node limit

Counts

130 → 159

Calls

Call 1

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

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

eval47.0ms (0.8%)

Compiler: Compiled 2330 to 1585 computations (32% saved)

prune27.0ms (0.5%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	158	1	159
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	158	8	166

Accuracy

100.0%

Counts

166 → 8

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))))
▶	97.7%	(.f64 1/2 (+.f64 (.f64 x (.f64 x -1/2)) (.f64 x 2)))
✓	99.3%	(.f64 1/2 (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
✓	97.7%	(*.f64 1/2 (+.f64 (log1p.f64 x) x))
✓	97.7%	(.f64 1/2 (.f64 x (+.f64 2 (*.f64 x -1/2))))
✓	98.6%	(.f64 1/2 (.f64 2 x))
✓	8.8%	(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
✓	18.8%	(*.f64 1/2 x)
✓	100.0%	(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
▶	97.7%	(.f64 1/2 (+.f64 (.f64 x (.f64 x -1/2)) (.f64 x 2)))
✓	99.3%	(.f64 1/2 (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
✓	97.7%	(*.f64 1/2 (+.f64 (log1p.f64 x) x))
✓	97.7%	(.f64 1/2 (.f64 x (+.f64 2 (*.f64 x -1/2))))
✓	98.6%	(.f64 1/2 (.f64 2 x))
✓	8.8%	(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
✓	18.8%	(*.f64 1/2 x)

Compiler

Compiled 142 to 112 computations (21.1% saved)

localize45.0ms (0.8%)

Compiler: Compiled 37 to 26 computations (29.7% saved)

eval0.0ms (0%)

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

prune10.0ms (0.2%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	7	7
Total	8	8

Accuracy

100.0%

Counts

8 → 8

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))))
✓	97.7%	(.f64 1/2 (+.f64 (.f64 x (.f64 x -1/2)) (.f64 x 2)))
✓	99.3%	(.f64 1/2 (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
✓	97.7%	(*.f64 1/2 (+.f64 (log1p.f64 x) x))
✓	97.7%	(.f64 1/2 (.f64 x (+.f64 2 (*.f64 x -1/2))))
✓	98.6%	(.f64 1/2 (.f64 2 x))
✓	8.8%	(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
✓	18.8%	(*.f64 1/2 x)

Compiler

Compiled 157 to 120 computations (23.6% saved)

regimes17.0ms (0.3%)

Counts

11 → 1

Calls

Call 1

Inputs
(*.f64 1/2 0)
(*.f64 1/2 x)
(.f64 1/2 (.f64 2 x))
(.f64 1/2 (.f64 x (+.f64 2 (*.f64 x -1/2))))
(.f64 1/2 (+.f64 (.f64 x (.f64 x -1/2)) (.f64 x 2)))
(*.f64 1/2 (+.f64 (log1p.f64 x) x))
(*.f64 1/2 (-.f64 (log1p.f64 x) (neg.f64 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 (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
3.0ms	(*.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 118 to 89 computations (24.6% saved)

regimes21.0ms (0.4%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	x
3.0ms	(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
2.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
2.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))`
99.3%	1	`(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))`
99.3%	1	`(/.f64 (+.f64 1 x) (-.f64 1 x))`

Compiler

Compiled 110 to 85 computations (22.7% saved)

regimes12.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	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
98.6%	1	`x`
98.6%	1	`(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))`
98.6%	1	`(/.f64 (+.f64 1 x) (-.f64 1 x))`

Compiler

Compiled 74 to 55 computations (25.7% saved)

regimes4.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 1/2 0)
(*.f64 1/2 x)

Outputs
(*.f64 1/2 x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
18.8%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 1/2 0)

Outputs
(*.f64 1/2 0)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
5.3%	1	`x`

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify7.0ms (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	22	77
1	34	77
2	39	77
3	42	77
4	43	77

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 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(.f64 1/2 (.f64 2 x))
(*.f64 1/2 x)
(*.f64 1/2 0)

Outputs
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(.f64 1/2 (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(.f64 1/2 (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 x 2)))
(.f64 1/2 (.f64 2 x))
(.f64 1/2 (.f64 x 2))
(*.f64 1/2 x)
(*.f64 1/2 0)
0

Compiler

Compiled 33 to 27 computations (18.2% saved)

soundness1.4s (22.9%)

Rules

2050×	`pow1`
1902×	`add-exp-log`
1898×	`log1p-expm1-u`
1898×	`expm1-log1p-u`
1684×	`fma-def`

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
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	13	66
1	277	54
2	3718	54
0	309	1940
1	839	1834
2	2186	1800
3	7948	1800
0	309	1940
1	839	1834
2	2186	1800
3	7948	1800

Stop Event

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

Compiler

Compiled 235 to 160 computations (31.9% saved)

end0.0ms (0%)

preprocess44.0ms (0.7%)

Compiler: Compiled 84 to 68 computations (19% saved)

analyze4.0ms (0.1%)

sample2.8s (47.6%)

preprocess477.0ms (8%)

eval1.0ms (0%)

prune2.0ms (0%)

localize225.0ms (3.8%)

series4.0ms (0.1%)

rewrite111.0ms (1.9%)

simplify114.0ms (1.9%)

eval61.0ms (1%)

prune54.0ms (0.9%)

localize89.0ms (1.5%)

series2.0ms (0%)

rewrite62.0ms (1%)

simplify69.0ms (1.2%)

eval25.0ms (0.4%)

prune18.0ms (0.3%)

localize57.0ms (1%)

series2.0ms (0%)

rewrite75.0ms (1.3%)

simplify66.0ms (1.1%)

eval47.0ms (0.8%)

prune27.0ms (0.5%)

localize45.0ms (0.8%)

eval0.0ms (0%)

prune10.0ms (0.2%)

regimes17.0ms (0.3%)

regimes21.0ms (0.4%)

regimes12.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

simplify7.0ms (0.1%)

soundness1.4s (22.9%)

end0.0ms (0%)

preprocess44.0ms (0.7%)

Profiling