Metrics for Rust f64::atanh

analyze4.0ms (0.2%)

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)

sample902.0ms (43.7%)

Results

891.0ms	8256×	body	256	valid
0.0ms	3×	body	256	invalid

Bogosity

preprocess127.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

2052×	`fma-def`
502×	`times-frac`
484×	`div-sub`
408×	`associate-/r*`
384×	`associate-r`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	15	43
1	25	43
2	36	43
3	55	43
4	74	43
5	97	43
6	167	43
7	287	39
8	385	39
9	548	39
10	690	39
11	878	39
12	1165	39
13	1991	39
14	3208	39
15	3825	39
16	3857	39
17	3889	39
18	3929	39
19	3929	39

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))

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval2.0ms (0.1%)

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

prune5.0ms (0.2%)

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))))
▶	99.8%	(*.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))))
▶	99.8%	(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))

Compiler

Compiled 44 to 36 computations (18.2% saved)

localize91.0ms (4.4%)

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)
✓	99.8%	(/.f64 2 (/.f64 (-.f64 1 x) x))

Compiler

Compiled 74 to 55 computations (25.7% saved)

series2.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite88.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1054×	`log-prod`
650×	`prod-exp`
584×	`pow-prod-down`
442×	`prod-diff`
422×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	51
1	227	51
2	2981	51

Stop Event

1×	node limit

Counts

3 → 180

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

simplify85.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

1412×	`times-frac`
1108×	`distribute-lft-in`
1088×	`distribute-rgt-in`
414×	`associate-+r+`
396×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	312	4840
1	789	4506
2	2495	4498

Stop Event

1×	node limit

Counts

216 → 175

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

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

eval108.0ms (5.3%)

Compiler: Compiled 2677 to 2122 computations (20.7% saved)

prune33.0ms (1.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	170	5	175
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	170	7	177

Accuracy

100.0%

Counts

177 → 7

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))))
✓	99.8%	(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
▶	97.9%	(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 1 x))))
▶	98.1%	(*.f64 1/2 (log1p.f64 (+.f64 x x)))
▶	1.1%	(*.f64 1/2 (log1p.f64 (+.f64 -2 (/.f64 -2 x))))
▶	100.0%	(.f64 1/2 (log1p.f64 (.f64 (/.f64 (+.f64 x x) (-.f64 1 (*.f64 x x))) (+.f64 1 x))))
▶	0.0%	(*.f64 1/2 (log1p.f64 -2))
✓	100.0%	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
✓	99.8%	(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
▶	97.9%	(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 1 x))))
▶	98.1%	(*.f64 1/2 (log1p.f64 (+.f64 x x)))
▶	1.1%	(*.f64 1/2 (log1p.f64 (+.f64 -2 (/.f64 -2 x))))
▶	100.0%	(.f64 1/2 (log1p.f64 (.f64 (/.f64 (+.f64 x x) (-.f64 1 (*.f64 x x))) (+.f64 1 x))))
▶	0.0%	(*.f64 1/2 (log1p.f64 -2))

Compiler

Compiled 232 to 188 computations (19% saved)

localize177.0ms (8.6%)

Compiler: Compiled 145 to 88 computations (39.3% saved)

eval0.0ms (0%)

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

prune5.0ms (0.2%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	5	5
Done	2	2
Total	7	7

Accuracy

100.0%

Counts

7 → 7

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))))
✓	99.8%	(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
✓	97.9%	(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 1 x))))
✓	98.1%	(*.f64 1/2 (log1p.f64 (+.f64 x x)))
✓	1.1%	(*.f64 1/2 (log1p.f64 (+.f64 -2 (/.f64 -2 x))))
✓	100.0%	(.f64 1/2 (log1p.f64 (.f64 (/.f64 (+.f64 x x) (-.f64 1 (*.f64 x x))) (+.f64 1 x))))
✓	0.0%	(*.f64 1/2 (log1p.f64 -2))

Compiler

Compiled 132 to 105 computations (20.5% saved)

regimes26.0ms (1.3%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
5.0ms	(.f64 1/2 (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 93 to 72 computations (22.6% saved)

regimes8.0ms (0.4%)

Counts

5 → 1

Calls

Call 1

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

7.0ms

Results

Accuracy	Segments	Branch
99.8%	1	`x`

Compiler

Compiled 39 to 32 computations (17.9% saved)

regimes5.0ms (0.3%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.1%	1	`x`

Compiler

Compiled 29 to 24 computations (17.2% saved)

regimes3.0ms (0.2%)

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)

simplify6.0ms (0.3%)

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	22	86
1	31	86
2	35	86
3	37	86
4	38	86

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

Compiler

Compiled 34 to 28 computations (17.6% saved)

soundness347.0ms (16.8%)

Rules

2052×	`fma-def`
1412×	`times-frac`
1108×	`distribute-lft-in`
1088×	`distribute-rgt-in`
502×	`times-frac`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	15	43
1	25	43
2	36	43
3	55	43
4	74	43
5	97	43
6	167	43
7	287	39
8	385	39
9	548	39
10	690	39
11	878	39
12	1165	39
13	1991	39
14	3208	39
15	3825	39
16	3857	39
17	3889	39
18	3929	39
19	3929	39
0	312	4840
1	789	4506
2	2495	4498

Stop Event

1×	node limit
1×	saturated

Compiler

Compiled 34 to 27 computations (20.6% saved)

end0.0ms (0%)

preprocess40.0ms (1.9%)

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

analyze4.0ms (0.2%)

sample902.0ms (43.7%)

preprocess127.0ms (6.1%)

eval2.0ms (0.1%)

prune5.0ms (0.2%)

localize91.0ms (4.4%)

series2.0ms (0.1%)

rewrite88.0ms (4.3%)

simplify85.0ms (4.1%)

eval108.0ms (5.3%)

prune33.0ms (1.6%)

localize177.0ms (8.6%)

eval0.0ms (0%)

prune5.0ms (0.2%)

regimes26.0ms (1.3%)

regimes8.0ms (0.4%)

regimes5.0ms (0.3%)

regimes3.0ms (0.2%)

simplify6.0ms (0.3%)

soundness347.0ms (16.8%)

end0.0ms (0%)

preprocess40.0ms (1.9%)

Profiling