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)

sample3.4s (54.2%)

Results

2.3s	4163×	body	1024	valid
591.0ms	2032×	body	512	valid
277.0ms	427×	body	2048	valid
255.0ms	1634×	body	256	valid
1.0ms	14×	body	256	invalid

Bogosity

preprocess619.0ms (9.8%)

Algorithm

1×	egg-herbie

Rules

1684×	`fma-def`
1408×	`associate-+r+`
1262×	`fma-neg`
834×	`unsub-neg`
704×	`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	21	109
1	40	93
2	66	93
3	130	93
4	264	93
5	711	93
6	1996	93
7	3118	93
8	4578	93
9	5632	93
10	5897	93
11	6113	93
12	6249	93
13	6360	93
14	6651	93
15	6835	93
16	6924	93
17	7246	93
18	7366	93
19	7394	93
20	7414	93
21	7422	93
22	7422	93

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))))
▶	8.5%	(*.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))))
▶	8.5%	(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))

Compiler

Compiled 40 to 32 computations (20% saved)

localize266.0ms (4.2%)

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))
✓	8.5%	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

Compiler

Compiled 59 to 34 computations (42.4% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
1.0ms	x	@	0	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
0.0ms	x	@	inf	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
0.0ms	x	@	inf	(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
0.0ms	x	@	-inf	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite137.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1236×	`prod-diff`
675×	`log1p-expm1-u`
673×	`expm1-log1p-u`
634×	`fma-def`
620×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	75
1	215	67
2	2930	67

Stop Event

1×	node limit

Counts

3 → 283

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

simplify78.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1588×	`fma-def`
1580×	`times-frac`
756×	`associate-r`
716×	`associate-l`
526×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	434	2646
1	1140	2517
2	2323	2440

Stop Event

1×	node limit

Counts

319 → 277

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

eval97.0ms (1.5%)

Compiler: Compiled 4442 to 3022 computations (32% saved)

prune47.0ms (0.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	274	3	277
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	274	5	279

Accuracy

100.0%

Counts

279 → 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))))
▶	99.4%	(.f64 1/2 (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
▶	99.1%	(.f64 1/2 (.f64 2 x))
✓	8.5%	(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
▶	5.5%	(*.f64 1/2 0)
✓	100.0%	(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
▶	99.4%	(.f64 1/2 (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
▶	99.1%	(.f64 1/2 (.f64 2 x))
✓	8.5%	(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
▶	5.5%	(*.f64 1/2 0)

Compiler

Compiled 84 to 70 computations (16.7% saved)

localize72.0ms (1.1%)

Localize:

Found 2 expressions with local error:

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

Compiler

Compiled 54 to 43 computations (20.4% saved)

series3.0ms (0%)

Counts

2 → 0

Calls

6 calls:

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

rewrite52.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1014×	`associate-r`
870×	`associate-l`
466×	`unpow-prod-down`
306×	`log-prod`
282×	`cbrt-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	74	26
2	733	26

Stop Event

1×	node limit

Counts

2 → 82

Calls

Call 1

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

Outputs
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 0 (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))))
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 2/3 (pow.f64 x 3))) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 2/3 (pow.f64 x 3))) (+.f64 1 (.f64 2/3 (pow.f64 x 3)))) (+.f64 1 (.f64 (+.f64 1 (.f64 2/3 (pow.f64 x 3))) 1))))
(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 2/3 (pow.f64 x 3))) (+.f64 1 (.f64 2/3 (pow.f64 x 3)))) 1) (+.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 (*.f64 (pow.f64 x 6) 4/9) 1/2)
(pow.f64 (*.f64 (pow.f64 x 9) 8/27) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)
(pow.f64 (E.f64) (fma.f64 3 (log.f64 x) (log.f64 2/3)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3))) 2)) (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)))) (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3))))
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(fabs.f64 (*.f64 2/3 (pow.f64 x 3)))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 9) 8/27))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)))
(exp.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 2/3))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 9) 8/27)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 2/3))) 2))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))))
(+.f64 (+.f64 1 (pow.f64 x 3)) -1)
(+.f64 0 (pow.f64 x 3))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3)))))
(-.f64 (+.f64 1 (pow.f64 x 3)) 1)
(*.f64 x (pow.f64 x 2))
(*.f64 x (pow.f64 (pow.f64 (cbrt.f64 x) 4) 3/2))
(*.f64 (pow.f64 x 3) 1)
(*.f64 (pow.f64 x 2) x)
(*.f64 1 (pow.f64 x 3))
(*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 8)))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 7))))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 x 1/6) (pow.f64 x 5/2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 7)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 (pow.f64 x 7)) 1))
(*.f64 (sqrt.f64 x) (pow.f64 x 5/2))
(*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x 5)))
(.f64 (sqrt.f64 x) (.f64 (pow.f64 x 5/2) 1))
(*.f64 (pow.f64 x 3/2) (pow.f64 x 3/2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (pow.f64 x 7))))
(*.f64 (pow.f64 (cbrt.f64 x) 4) (pow.f64 (cbrt.f64 x) 5))
(*.f64 (pow.f64 x 3/4) (pow.f64 (pow.f64 x 3/2) 3/2))
(*.f64 (pow.f64 x 3/4) (sqrt.f64 (pow.f64 x 9/2)))
(.f64 (pow.f64 x 3/4) (.f64 (pow.f64 x 3/4) (pow.f64 x 3/2)))
(.f64 (pow.f64 x 1/4) (.f64 (pow.f64 x 1/4) (pow.f64 x 5/2)))
(*.f64 (cbrt.f64 (pow.f64 x 8)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 5) (pow.f64 (cbrt.f64 x) 4))
(*.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 x 5/2) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 4) 3/2) x)
(*.f64 (pow.f64 (pow.f64 x 3/2) 3/2) (pow.f64 x 3/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 5) 3/2) (sqrt.f64 x))
(*.f64 (pow.f64 1 1/3) (pow.f64 x 3))
(*.f64 (pow.f64 (pow.f64 x 7) 1/3) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (pow.f64 x 8) 1/3) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 x 15/2) 1/3) (sqrt.f64 x))
(.f64 (.f64 (pow.f64 x 3/2) (pow.f64 x 3/4)) (pow.f64 x 3/4))
(*.f64 (sqrt.f64 (pow.f64 x 9/2)) (pow.f64 x 3/4))
(*.f64 (sqrt.f64 (pow.f64 x 5)) (sqrt.f64 x))
(.f64 (.f64 (cbrt.f64 (pow.f64 x 8)) 1) (cbrt.f64 x))
(.f64 (.f64 (cbrt.f64 (pow.f64 x 8)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))
(.f64 (.f64 (cbrt.f64 (pow.f64 x 8)) (pow.f64 x 1/6)) (pow.f64 x 1/6))
(.f64 (.f64 (pow.f64 x 5/2) 1) (sqrt.f64 x))
(.f64 (.f64 (pow.f64 x 5/2) (cbrt.f64 x)) (pow.f64 x 1/6))
(.f64 (.f64 (pow.f64 x 5/2) (pow.f64 x 1/4)) (pow.f64 x 1/4))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (pow.f64 x 3)) 3) 1) (+.f64 (.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (.f64 (+.f64 1 (pow.f64 x 3)) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3))) 1) (+.f64 (+.f64 1 (pow.f64 x 3)) 1))
(sqrt.f64 (pow.f64 x 6))
(fabs.f64 (pow.f64 x 3))
(log.f64 (exp.f64 (pow.f64 x 3)))
(cbrt.f64 (pow.f64 x 9))
(expm1.f64 (log1p.f64 (pow.f64 x 3)))
(exp.f64 (*.f64 3 (log.f64 x)))
(exp.f64 (.f64 (.f64 (log.f64 x) 2) 3/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 x 9)) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 x) 3/2) 2))
(log1p.f64 (expm1.f64 (pow.f64 x 3)))

simplify67.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1626×	`fma-def`
578×	`distribute-lft-in`
556×	`fma-neg`
504×	`*-commutative`
496×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	220	2457
1	497	1932
2	1529	1896
3	5551	1882

Stop Event

1×	node limit

Counts

82 → 102

Calls

Call 1

Inputs
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 0 (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))))
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 2/3 (pow.f64 x 3))) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 2/3 (pow.f64 x 3))) (+.f64 1 (.f64 2/3 (pow.f64 x 3)))) (+.f64 1 (.f64 (+.f64 1 (.f64 2/3 (pow.f64 x 3))) 1))))
(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 2/3 (pow.f64 x 3))) (+.f64 1 (.f64 2/3 (pow.f64 x 3)))) 1) (+.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 (*.f64 (pow.f64 x 6) 4/9) 1/2)
(pow.f64 (*.f64 (pow.f64 x 9) 8/27) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)
(pow.f64 (E.f64) (fma.f64 3 (log.f64 x) (log.f64 2/3)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3))) 2)) (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)))) (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3))))
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(fabs.f64 (*.f64 2/3 (pow.f64 x 3)))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 9) 8/27))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)))
(exp.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 2/3))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 9) 8/27)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 2/3))) 2))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))))
(+.f64 (+.f64 1 (pow.f64 x 3)) -1)
(+.f64 0 (pow.f64 x 3))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3)))))
(-.f64 (+.f64 1 (pow.f64 x 3)) 1)
(*.f64 x (pow.f64 x 2))
(*.f64 x (pow.f64 (pow.f64 (cbrt.f64 x) 4) 3/2))
(*.f64 (pow.f64 x 3) 1)
(*.f64 (pow.f64 x 2) x)
(*.f64 1 (pow.f64 x 3))
(*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 8)))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 7))))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 x 1/6) (pow.f64 x 5/2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 7)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 (pow.f64 x 7)) 1))
(*.f64 (sqrt.f64 x) (pow.f64 x 5/2))
(*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x 5)))
(.f64 (sqrt.f64 x) (.f64 (pow.f64 x 5/2) 1))
(*.f64 (pow.f64 x 3/2) (pow.f64 x 3/2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (pow.f64 x 7))))
(*.f64 (pow.f64 (cbrt.f64 x) 4) (pow.f64 (cbrt.f64 x) 5))
(*.f64 (pow.f64 x 3/4) (pow.f64 (pow.f64 x 3/2) 3/2))
(*.f64 (pow.f64 x 3/4) (sqrt.f64 (pow.f64 x 9/2)))
(.f64 (pow.f64 x 3/4) (.f64 (pow.f64 x 3/4) (pow.f64 x 3/2)))
(.f64 (pow.f64 x 1/4) (.f64 (pow.f64 x 1/4) (pow.f64 x 5/2)))
(*.f64 (cbrt.f64 (pow.f64 x 8)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 5) (pow.f64 (cbrt.f64 x) 4))
(*.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 x 5/2) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 4) 3/2) x)
(*.f64 (pow.f64 (pow.f64 x 3/2) 3/2) (pow.f64 x 3/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 5) 3/2) (sqrt.f64 x))
(*.f64 (pow.f64 1 1/3) (pow.f64 x 3))
(*.f64 (pow.f64 (pow.f64 x 7) 1/3) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (pow.f64 x 8) 1/3) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 x 15/2) 1/3) (sqrt.f64 x))
(.f64 (.f64 (pow.f64 x 3/2) (pow.f64 x 3/4)) (pow.f64 x 3/4))
(*.f64 (sqrt.f64 (pow.f64 x 9/2)) (pow.f64 x 3/4))
(*.f64 (sqrt.f64 (pow.f64 x 5)) (sqrt.f64 x))
(.f64 (.f64 (cbrt.f64 (pow.f64 x 8)) 1) (cbrt.f64 x))
(.f64 (.f64 (cbrt.f64 (pow.f64 x 8)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))
(.f64 (.f64 (cbrt.f64 (pow.f64 x 8)) (pow.f64 x 1/6)) (pow.f64 x 1/6))
(.f64 (.f64 (pow.f64 x 5/2) 1) (sqrt.f64 x))
(.f64 (.f64 (pow.f64 x 5/2) (cbrt.f64 x)) (pow.f64 x 1/6))
(.f64 (.f64 (pow.f64 x 5/2) (pow.f64 x 1/4)) (pow.f64 x 1/4))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (pow.f64 x 3)) 3) 1) (+.f64 (.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (.f64 (+.f64 1 (pow.f64 x 3)) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3))) 1) (+.f64 (+.f64 1 (pow.f64 x 3)) 1))
(sqrt.f64 (pow.f64 x 6))
(fabs.f64 (pow.f64 x 3))
(log.f64 (exp.f64 (pow.f64 x 3)))
(cbrt.f64 (pow.f64 x 9))
(expm1.f64 (log1p.f64 (pow.f64 x 3)))
(exp.f64 (*.f64 3 (log.f64 x)))
(exp.f64 (.f64 (.f64 (log.f64 x) 2) 3/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 x 9)) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 x) 3/2) 2))
(log1p.f64 (expm1.f64 (pow.f64 x 3)))

Outputs
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(*.f64 2/3 (pow.f64 x 3))
(+.f64 0 (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(*.f64 2/3 (pow.f64 x 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))))
(*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))))
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(*.f64 2/3 (pow.f64 x 3))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 2/3 (pow.f64 x 3))) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 2/3 (pow.f64 x 3))) (+.f64 1 (.f64 2/3 (pow.f64 x 3)))) (+.f64 1 (.f64 (+.f64 1 (.f64 2/3 (pow.f64 x 3))) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (.f64 2/3 (pow.f64 x 3))) 3) -1) (fma.f64 (+.f64 1 (.f64 2/3 (pow.f64 x 3))) (+.f64 1 (.f64 2/3 (pow.f64 x 3))) (+.f64 1 (+.f64 1 (.f64 2/3 (pow.f64 x 3))))))
(/.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) (fma.f64 2/3 (pow.f64 x 3) 1) (+.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 (fma.f64 2/3 (pow.f64 x 3) 1) (fma.f64 2/3 (pow.f64 x 3) 2))))
(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 2/3 (pow.f64 x 3))) (+.f64 1 (.f64 2/3 (pow.f64 x 3)))) 1) (+.f64 (+.f64 1 (.f64 2/3 (pow.f64 x 3))) 1))
(+.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 (+.f64 1 (*.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 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 6) 4/9) 1/2)
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 9) 8/27) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 9) 8/27))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (E.f64) (fma.f64 3 (log.f64 x) (log.f64 2/3)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3))) 2)) (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)))) (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3))))
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(*.f64 2/3 (pow.f64 x 3))
(fabs.f64 (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(*.f64 2/3 (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(*.f64 2/3 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 x 9) 8/27))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)))
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 2/3))) 3))
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 9) 8/27)) 1/3))
(cbrt.f64 (*.f64 (pow.f64 x 9) 8/27))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 2/3))) 2))
(+.f64 (+.f64 1 (*.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 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(*.f64 2/3 (pow.f64 x 3))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))))
(fma.f64 2/3 (pow.f64 x 3) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))))
(+.f64 (+.f64 1 (pow.f64 x 3)) -1)
(+.f64 1 (+.f64 (pow.f64 x 3) -1))
(pow.f64 x 3)
(+.f64 0 (pow.f64 x 3))
(+.f64 1 (+.f64 (pow.f64 x 3) -1))
(pow.f64 x 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (pow.f64 x 3) -1))
(pow.f64 x 3)
(-.f64 (+.f64 1 (pow.f64 x 3)) 1)
(+.f64 1 (+.f64 (pow.f64 x 3) -1))
(pow.f64 x 3)
(*.f64 x (pow.f64 x 2))
(+.f64 1 (+.f64 (pow.f64 x 3) -1))
(pow.f64 x 3)
(*.f64 x (pow.f64 (pow.f64 (cbrt.f64 x) 4) 3/2))
(*.f64 (pow.f64 x 3) 1)
(+.f64 1 (+.f64 (pow.f64 x 3) -1))
(pow.f64 x 3)
(*.f64 (pow.f64 x 2) x)
(+.f64 1 (+.f64 (pow.f64 x 3) -1))
(pow.f64 x 3)
(*.f64 1 (pow.f64 x 3))
(+.f64 1 (+.f64 (pow.f64 x 3) -1))
(pow.f64 x 3)
(*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 8)))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 7))))
(*.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 x) 2))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 x 1/6) (pow.f64 x 5/2)))
(.f64 (pow.f64 x 1/6) (.f64 (cbrt.f64 x) (pow.f64 x 5/2)))
(*.f64 (pow.f64 x 5/2) (pow.f64 (pow.f64 x 1/6) 3))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 7)))
(*.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 x) 2))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 (pow.f64 x 7)) 1))
(*.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (sqrt.f64 x) (pow.f64 x 5/2))
(*.f64 (pow.f64 x 5/2) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x 5)))
(*.f64 (pow.f64 x 5/2) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (.f64 (pow.f64 x 5/2) 1))
(*.f64 (pow.f64 x 5/2) (sqrt.f64 x))
(*.f64 (pow.f64 x 3/2) (pow.f64 x 3/2))
(+.f64 1 (+.f64 (pow.f64 x 3) -1))
(pow.f64 x 3)
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (pow.f64 x 7))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 4)) (.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (.f64 (cbrt.f64 (pow.f64 x 7)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 4))))
(*.f64 (pow.f64 (cbrt.f64 x) 4) (pow.f64 (cbrt.f64 x) 5))
(*.f64 (pow.f64 x 3/4) (pow.f64 (pow.f64 x 3/2) 3/2))
(*.f64 (pow.f64 x 3/4) (sqrt.f64 (pow.f64 x 9/2)))
(*.f64 (pow.f64 x 3/4) (pow.f64 x 9/4))
(.f64 (pow.f64 x 3/4) (.f64 (pow.f64 x 3/4) (pow.f64 x 3/2)))
(+.f64 1 (+.f64 (pow.f64 x 3) -1))
(pow.f64 x 3)
(.f64 (pow.f64 x 1/4) (.f64 (pow.f64 x 1/4) (pow.f64 x 5/2)))
(*.f64 (pow.f64 x 5/2) (sqrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 x 8)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 8)))
(*.f64 (pow.f64 (cbrt.f64 x) 5) (pow.f64 (cbrt.f64 x) 4))
(*.f64 (pow.f64 (cbrt.f64 x) 4) (pow.f64 (cbrt.f64 x) 5))
(*.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 x 5/2) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 4) 3/2) x)
(*.f64 x (pow.f64 (pow.f64 (cbrt.f64 x) 4) 3/2))
(*.f64 (pow.f64 (pow.f64 x 3/2) 3/2) (pow.f64 x 3/4))
(*.f64 (pow.f64 x 3/4) (pow.f64 (pow.f64 x 3/2) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 5) 3/2) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 (pow.f64 (cbrt.f64 x) 5) 3/2))
(*.f64 (pow.f64 1 1/3) (pow.f64 x 3))
(+.f64 1 (+.f64 (pow.f64 x 3) -1))
(pow.f64 x 3)
(*.f64 (pow.f64 (pow.f64 x 7) 1/3) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (pow.f64 x 8) 1/3) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 8)))
(*.f64 (pow.f64 (pow.f64 x 15/2) 1/3) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 x 15/2)))
(.f64 (.f64 (pow.f64 x 3/2) (pow.f64 x 3/4)) (pow.f64 x 3/4))
(+.f64 1 (+.f64 (pow.f64 x 3) -1))
(pow.f64 x 3)
(*.f64 (sqrt.f64 (pow.f64 x 9/2)) (pow.f64 x 3/4))
(*.f64 (pow.f64 x 3/4) (sqrt.f64 (pow.f64 x 9/2)))
(*.f64 (pow.f64 x 3/4) (pow.f64 x 9/4))
(*.f64 (sqrt.f64 (pow.f64 x 5)) (sqrt.f64 x))
(*.f64 (pow.f64 x 5/2) (sqrt.f64 x))
(.f64 (.f64 (cbrt.f64 (pow.f64 x 8)) 1) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 8)))
(.f64 (.f64 (cbrt.f64 (pow.f64 x 8)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 8)))
(.f64 (.f64 (cbrt.f64 (pow.f64 x 8)) (pow.f64 x 1/6)) (pow.f64 x 1/6))
(*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 8)))
(.f64 (.f64 (pow.f64 x 5/2) 1) (sqrt.f64 x))
(*.f64 (pow.f64 x 5/2) (sqrt.f64 x))
(.f64 (.f64 (pow.f64 x 5/2) (cbrt.f64 x)) (pow.f64 x 1/6))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 x 1/6) (pow.f64 x 5/2)))
(.f64 (pow.f64 x 1/6) (.f64 (cbrt.f64 x) (pow.f64 x 5/2)))
(*.f64 (pow.f64 x 5/2) (pow.f64 (pow.f64 x 1/6) 3))
(.f64 (.f64 (pow.f64 x 5/2) (pow.f64 x 1/4)) (pow.f64 x 1/4))
(*.f64 (pow.f64 x 5/2) (sqrt.f64 x))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (pow.f64 x 3)) 3) 1) (+.f64 (.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (.f64 (+.f64 1 (pow.f64 x 3)) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x 3)) 3) -1) (fma.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3)) (+.f64 1 (+.f64 1 (pow.f64 x 3)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 x 3)) 3)) (fma.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3)) (+.f64 (pow.f64 x 3) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 x 3)) 3)) (+.f64 1 (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 (pow.f64 x 3) 2))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3))) 1) (+.f64 (+.f64 1 (pow.f64 x 3)) 1))
(+.f64 1 (+.f64 (pow.f64 x 3) -1))
(pow.f64 x 3)
(sqrt.f64 (pow.f64 x 6))
(+.f64 1 (+.f64 (pow.f64 x 3) -1))
(pow.f64 x 3)
(fabs.f64 (pow.f64 x 3))
(+.f64 1 (+.f64 (pow.f64 x 3) -1))
(pow.f64 x 3)
(log.f64 (exp.f64 (pow.f64 x 3)))
(+.f64 1 (+.f64 (pow.f64 x 3) -1))
(pow.f64 x 3)
(cbrt.f64 (pow.f64 x 9))
(+.f64 1 (+.f64 (pow.f64 x 3) -1))
(pow.f64 x 3)
(expm1.f64 (log1p.f64 (pow.f64 x 3)))
(+.f64 1 (+.f64 (pow.f64 x 3) -1))
(pow.f64 x 3)
(exp.f64 (*.f64 3 (log.f64 x)))
(+.f64 1 (+.f64 (pow.f64 x 3) -1))
(pow.f64 x 3)
(exp.f64 (.f64 (.f64 (log.f64 x) 2) 3/2))
(+.f64 1 (+.f64 (pow.f64 x 3) -1))
(pow.f64 x 3)
(exp.f64 (*.f64 (log.f64 (pow.f64 x 9)) 1/3))
(+.f64 1 (+.f64 (pow.f64 x 3) -1))
(pow.f64 x 3)
(exp.f64 (.f64 (.f64 (log.f64 x) 3/2) 2))
(+.f64 1 (+.f64 (pow.f64 x 3) -1))
(pow.f64 x 3)
(log1p.f64 (expm1.f64 (pow.f64 x 3)))
(+.f64 1 (+.f64 (pow.f64 x 3) -1))
(pow.f64 x 3)

eval48.0ms (0.8%)

Compiler: Compiled 1829 to 1485 computations (18.8% saved)

prune17.0ms (0.3%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	102	5	107

Accuracy

100.0%

Counts

107 → 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))))
✓	99.4%	(.f64 1/2 (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
✓	99.1%	(.f64 1/2 (.f64 2 x))
✓	8.5%	(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
✓	5.5%	(*.f64 1/2 0)

Compiler

Compiled 92 to 76 computations (17.4% saved)

regimes18.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

Inputs
(*.f64 1/2 0)
(.f64 1/2 (.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 (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	(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
5.0ms	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
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 82 to 66 computations (19.5% saved)

regimes13.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	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
99.4%	1	`x`
99.4%	1	`(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))`
99.4%	1	`(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))`
99.4%	1	`(/.f64 (+.f64 1 x) (-.f64 1 x))`

Compiler

Compiled 74 to 60 computations (18.9% saved)

regimes8.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	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
99.1%	1	`x`
99.1%	1	`(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))`
99.1%	1	`(/.f64 (+.f64 1 x) (-.f64 1 x))`

Compiler

Compiled 38 to 30 computations (21.1% saved)

regimes7.0ms (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:

6.0ms

Results

Accuracy	Segments	Branch
5.5%	1	`x`

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	85
1	34	85
2	39	85
3	42	85
4	43	85

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 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 0)
0

Compiler

Compiled 29 to 24 computations (17.2% saved)

soundness1.3s (20.3%)

Rules

1684×	`fma-def`
1684×	`fma-def`
1588×	`fma-def`
1580×	`times-frac`
1408×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	109
1	40	93
2	66	93
3	130	93
4	264	93
5	711	93
6	1996	93
7	3118	93
8	4578	93
9	5632	93
10	5897	93
11	6113	93
12	6249	93
13	6360	93
14	6651	93
15	6835	93
16	6924	93
17	7246	93
18	7366	93
19	7394	93
20	7414	93
21	7422	93
22	7422	93
0	21	109
1	40	93
2	66	93
3	130	93
4	264	93
5	711	93
6	1996	93
7	3118	93
8	4578	93
9	5632	93
10	5897	93
11	6113	93
12	6249	93
13	6360	93
14	6651	93
15	6835	93
16	6924	93
17	7246	93
18	7366	93
19	7394	93
20	7414	93
21	7422	93
22	7422	93
0	15	75
1	215	67
2	2930	67
0	434	2646
1	1140	2517
2	2323	2440

Stop Event

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

Compiler

Compiled 296 to 206 computations (30.4% saved)

end0.0ms (0%)

preprocess39.0ms (0.6%)

Compiler: Compiled 78 to 64 computations (17.9% saved)

analyze4.0ms (0.1%)

sample3.4s (54.2%)

preprocess619.0ms (9.8%)

eval1.0ms (0%)

prune2.0ms (0%)

localize266.0ms (4.2%)

series5.0ms (0.1%)

rewrite137.0ms (2.2%)

simplify78.0ms (1.2%)

eval97.0ms (1.5%)

prune47.0ms (0.7%)

localize72.0ms (1.1%)

series3.0ms (0%)

rewrite52.0ms (0.8%)

simplify67.0ms (1.1%)

eval48.0ms (0.8%)

prune17.0ms (0.3%)

regimes18.0ms (0.3%)

regimes13.0ms (0.2%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

simplify4.0ms (0.1%)

soundness1.3s (20.3%)

end0.0ms (0%)

preprocess39.0ms (0.6%)

Profiling