Metrics for Rust f64::atanh

analyze2.0ms (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%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 4 to 3 computations (25% saved)

sample835.0ms (38.7%)

Results

824.0ms	8256×	body	256	valid
0.0ms	8×	body	256	invalid

Bogosity

preprocess238.0ms (11%)

Algorithm

1×	egg-herbie

Rules

2056×	`fma-def`
498×	`times-frac`
478×	`div-sub`
412×	`associate-/r*`
384×	`associate-r`

Problems

256×

No Errors

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	18	71
1	30	71
2	43	68
3	63	68
4	86	68
5	112	68
6	184	68
7	306	67
8	404	67
9	568	67
10	711	67
11	901	67
12	1188	67
13	1990	67
14	3199	67
15	3816	67
16	3848	67
17	3880	67
18	3920	67
19	3920	67

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
(atanh.f64 x)
(atanh.f64 (neg.f64 x))
(neg.f64 (atanh.f64 (neg.f64 x)))

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

Compiler

Compiled 48 to 37 computations (22.9% saved)

eval2.0ms (0.1%)

Compiler: Compiled 59 to 49 computations (16.9% saved)

prune3.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
▶	99.7%	(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
▶	100.0%	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
▶	99.7%	(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))

Compiler

Compiled 44 to 36 computations (18.2% saved)

localize138.0ms (6.4%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (*.f64 2 x) (-.f64 1 x))
✓	100.0%	(/.f64 (-.f64 1 x) x)
✓	99.7%	(/.f64 2 (/.f64 (-.f64 1 x) x))

Compiler

Compiled 74 to 55 computations (25.7% saved)

series7.0ms (0.3%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(/.f64 (*.f64 2 x) (-.f64 1 x))
0.0ms	x	@	-inf	(/.f64 (-.f64 1 x) x)
0.0ms	x	@	inf	(/.f64 2 (/.f64 (-.f64 1 x) x))
0.0ms	x	@	inf	(/.f64 (-.f64 1 x) x)
0.0ms	x	@	0	(/.f64 2 (/.f64 (-.f64 1 x) x))

rewrite128.0ms (5.9%)

Algorithm

1×	batch-egg-rewrite

Rules

828×	`log-prod`
816×	`log1p-expm1-u`
815×	`expm1-log1p-u`
486×	`pow-prod-down`
424×	`prod-diff`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	69
1	164	60
2	2253	60

Stop Event

1×	node limit

Counts

3 → 167

Calls

Call 1

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

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

simplify72.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1460×	`fma-def`
1300×	`associate-/r*`
766×	`associate-*r/`
640×	`associate-*l/`
640×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	289	5314
1	725	5045
2	2201	4904

Stop Event

1×	node limit

Counts

203 → 158

Calls

Call 1

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

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

eval83.0ms (3.8%)

Compiler: Compiled 2422 to 2093 computations (13.6% saved)

prune26.0ms (1.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	154	4	158
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	154	6	160

Accuracy

100.0%

Counts

160 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
✓	99.7%	(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
▶	98.3%	(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 1 x))))
▶	100.0%	(.f64 1/2 (log1p.f64 (.f64 (/.f64 (*.f64 2 x) (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))))
▶	98.6%	(.f64 1/2 (log1p.f64 (.f64 2 x)))
▶	0.0%	(*.f64 1/2 (log1p.f64 -2))
✓	100.0%	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
✓	99.7%	(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
▶	98.3%	(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 1 x))))
▶	100.0%	(.f64 1/2 (log1p.f64 (.f64 (/.f64 (*.f64 2 x) (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))))
▶	98.6%	(.f64 1/2 (log1p.f64 (.f64 2 x)))
▶	0.0%	(*.f64 1/2 (log1p.f64 -2))

Compiler

Compiled 120 to 102 computations (15% saved)

localize287.0ms (13.3%)

Compiler: Compiled 122 to 97 computations (20.5% saved)

eval0.0ms (0%)

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

prune4.0ms (0.2%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	4	4
Done	2	2
Total	6	6

Accuracy

100.0%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
✓	99.7%	(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
✓	98.3%	(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 1 x))))
✓	100.0%	(.f64 1/2 (log1p.f64 (.f64 (/.f64 (*.f64 2 x) (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))))
✓	98.6%	(.f64 1/2 (log1p.f64 (.f64 2 x)))
✓	0.0%	(*.f64 1/2 (log1p.f64 -2))

Compiler

Compiled 115 to 97 computations (15.7% saved)

regimes25.0ms (1.2%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
5.0ms	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
5.0ms	(/.f64 (*.f64 2 x) (-.f64 1 x))
5.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))`
100.0%	1	`(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))`
100.0%	1	`(/.f64 (*.f64 2 x) (-.f64 1 x))`

Compiler

Compiled 85 to 69 computations (18.8% saved)

regimes5.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.7%	1	`x`

Compiler

Compiled 31 to 26 computations (16.1% saved)

regimes6.0ms (0.3%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(.f64 1/2 (log1p.f64 (.f64 2 x)))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
98.6%	1	`x`

Compiler

Compiled 21 to 18 computations (14.3% 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 (log1p.f64 -2))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
0.0%	1	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative`
4×	`sub-neg`
4×	`+-commutative`
2×	`1-exp`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	101
1	32	101
2	36	101
3	38	101
4	39	101

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 34 to 29 computations (14.7% saved)

soundness245.0ms (11.4%)

Rules

2056×	`fma-def`
498×	`times-frac`
478×	`div-sub`
412×	`associate-/r*`
384×	`associate-r`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	18	71
1	30	71
2	43	68
3	63	68
4	86	68
5	112	68
6	184	68
7	306	67
8	404	67
9	568	67
10	711	67
11	901	67
12	1188	67
13	1990	67
14	3199	67
15	3816	67
16	3848	67
17	3880	67
18	3920	67
19	3920	67

Stop Event

1×

saturated

Compiler

Compiled 21 to 17 computations (19% saved)

end0.0ms (0%)

preprocess48.0ms (2.2%)

Compiler: Compiled 84 to 70 computations (16.7% saved)

analyze2.0ms (0.1%)

sample835.0ms (38.7%)

preprocess238.0ms (11%)

eval2.0ms (0.1%)

prune3.0ms (0.1%)

localize138.0ms (6.4%)

series7.0ms (0.3%)

rewrite128.0ms (5.9%)

simplify72.0ms (3.3%)

eval83.0ms (3.8%)

prune26.0ms (1.2%)

localize287.0ms (13.3%)

eval0.0ms (0%)

prune4.0ms (0.2%)

regimes25.0ms (1.2%)

regimes5.0ms (0.2%)

regimes6.0ms (0.3%)

regimes3.0ms (0.1%)

simplify4.0ms (0.2%)

soundness245.0ms (11.4%)

end0.0ms (0%)

preprocess48.0ms (2.2%)

Profiling