Metrics for Prelude:atanh from fay-base-0.20.0.1

analyze1.0ms (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
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample879.0ms (41%)

Results

867.0ms

8256×

body

256

valid

Bogosity

preprocess113.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

1378×	`fma-def`
560×	`div-sub`
420×	`fma-neg`
388×	`times-frac`
312×	`associate-/r*`

Problems

256×

No Errors

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	112
1	32	100
2	56	100
3	113	100
4	246	100
5	815	100
6	2351	100
7	3115	100
8	3361	100

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(/.f64 (+.f64 (neg.f64 x) 1) (-.f64 1 (neg.f64 x)))
(/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))
(/.f64 (-.f64 1 x) (+.f64 x 1))
(neg.f64 (/.f64 (+.f64 (neg.f64 x) 1) (-.f64 1 (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 1 x)) (-.f64 1 (neg.f64 x)))
(/.f64 (+.f64 x -1) (+.f64 x 1))
(/.f64 (-.f64 1 x) (-.f64 -1 x))

Compiler

Compiled 25 to 18 computations (28% saved)

eval0.0ms (0%)

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

prune1.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (+.f64 x 1) (-.f64 1 x))
▶	100.0%	(/.f64 (+.f64 x 1) (-.f64 1 x))

Compiler

Compiled 16 to 12 computations (25% saved)

localize27.0ms (1.3%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite197.0ms (9.2%)

Algorithm

1×	batch-egg-rewrite

Rules

870×	`unpow-prod-down`
619×	`log1p-expm1-u`
619×	`expm1-log1p-u`
558×	`log-prod`
482×	`prod-diff`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	117	25
2	1656	25

Stop Event

1×	node limit

Counts

1 → 76

Calls

Call 1

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

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

simplify69.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1120×	`fma-def`
834×	`associate-*r/`
802×	`associate-/l*`
726×	`distribute-rgt-in`
718×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	269	3484
1	710	3249
2	2315	3193

Stop Event

1×	node limit

Counts

88 → 136

Calls

Call 1

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

Outputs
1
(+.f64 1 (*.f64 2 x))
(fma.f64 2 x 1)
(+.f64 1 (+.f64 (.f64 2 x) (.f64 2 (pow.f64 x 2))))
(+.f64 1 (*.f64 2 (+.f64 x (pow.f64 x 2))))
(fma.f64 2 (*.f64 x (+.f64 1 x)) 1)
(fma.f64 2 (fma.f64 x x x) 1)
(+.f64 1 (+.f64 (.f64 2 x) (+.f64 (.f64 2 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 3)))))
(+.f64 1 (fma.f64 2 x (*.f64 2 (+.f64 (pow.f64 x 2) (pow.f64 x 3)))))
(+.f64 1 (*.f64 2 (+.f64 x (fma.f64 x x (pow.f64 x 3)))))
(fma.f64 2 (fma.f64 x (+.f64 1 x) (pow.f64 x 3)) 1)
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 2))))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 2 (pow.f64 x 2)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 -1 (+.f64 (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 2))) (/.f64 -2 (pow.f64 x 3))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 2))))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 2 (pow.f64 x 2)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 -1 (+.f64 (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 2))) (/.f64 -2 (pow.f64 x 3))))
(+.f64 0 (/.f64 (+.f64 x 1) (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 1)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) (log.f64 (exp.f64 1)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 1 (-.f64 1 x))))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(.f64 (sqrt.f64 (+.f64 x 1)) (.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (-.f64 1 x))))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (fma.f64 -1 x -1) (/.f64 1 (neg.f64 (-.f64 1 x))))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (fma.f64 -1 x -1) (pow.f64 (/.f64 1 (neg.f64 (-.f64 1 x))) 1))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (/.f64 1 (-.f64 1 x)) (pow.f64 (/.f64 1 (+.f64 x 1)) -1))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 (+.f64 x 1) (cbrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)))
(*.f64 (/.f64 (+.f64 x 1) (-.f64 1 (pow.f64 x 2))) (+.f64 x 1))
(*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 2))))
(/.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 4) (-.f64 1 (pow.f64 x 2)))
(*.f64 (/.f64 (+.f64 x 1) (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x 1) 1))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))
(*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 x 1) (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) 1) (pow.f64 (/.f64 (+.f64 x 1) (cbrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (-.f64 1 x) -1/2) 1) (pow.f64 (/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 1 x)) 1))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) 1) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 (-.f64 1 x))) 1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 x)) 1))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)))
(*.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 (pow.f64 x 2))) 1) (+.f64 x 1))
(*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 2))))
(/.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 4) (-.f64 1 (pow.f64 x 2)))
(*.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 (pow.f64 x 3))) 1) (fma.f64 x (+.f64 x 1) 1))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 2) 3) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 3))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3/2)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3/2)))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2) (+.f64 x 1)) 1/3) (cbrt.f64 (/.f64 1 (-.f64 1 x))))
(.f64 (cbrt.f64 (.f64 (+.f64 1 x) (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2))) (cbrt.f64 (/.f64 1 (-.f64 1 x))))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))
(.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) (cbrt.f64 (pow.f64 (.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 8)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 5/2)) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 2) -1) (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)))
(/.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) -2) -1) (pow.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 x 1))) -1))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) -1/2) -1) (pow.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 x 1))) -1))
(*.f64 (/.f64 1 (pow.f64 (+.f64 1 x) -1/2)) (/.f64 1 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 1 (pow.f64 (+.f64 1 x) -1/2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x)))
(/.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 x 1)) -1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 x 1))) -1))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (/.f64 1 (/.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x)))))
(.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (+.f64 1 x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 x 1))) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 x 1)) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 x 1))) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) -1))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -2)
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (hypot.f64 1 (sqrt.f64 x))) -2)
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) -1) (/.f64 1 (-.f64 (fma.f64 x x 1) x)))
(*.f64 (/.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3)))) (/.f64 1 (-.f64 (fma.f64 x x 1) x)))
(/.f64 (*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))
(*.f64 (/.f64 (/.f64 1 (fma.f64 x x (-.f64 1 x))) (-.f64 1 x)) (+.f64 1 (pow.f64 x 3)))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x x -1)) -1) (/.f64 1 (+.f64 x -1)))
(*.f64 (/.f64 1 (/.f64 (-.f64 1 x) (fma.f64 x x -1))) (/.f64 1 (+.f64 x -1)))
(/.f64 (*.f64 (/.f64 1 (-.f64 1 x)) (fma.f64 x x -1)) (+.f64 x -1))
(*.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 (fma.f64 x x -1) (-.f64 1 x)))
(pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 3)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2) 1/2)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3) 1/3)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) -1)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(pow.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3)) 1/3)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(pow.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1) -1)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(neg.f64 (/.f64 (+.f64 x 1) (neg.f64 (-.f64 1 x))))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(log.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (.f64 (.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1) 1))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (.f64 (.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 3))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (.f64 (.f64 3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1/3))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (.f64 (.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) -1))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(/.f64 (+.f64 1 x) (-.f64 1 x))

eval293.0ms (13.6%)

Compiler: Compiled 2101 to 1673 computations (20.4% saved)

prune19.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	132	4	136
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	132	5	137

Accuracy

100.0%

Counts

137 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x 1) (-.f64 1 x))
▶	52.8%	(+.f64 1 (*.f64 2 x))
▶	48.8%	(+.f64 -1 (/.f64 -2 x))
	51.4%	1
	47.0%	-1
✓	100.0%	(/.f64 (+.f64 x 1) (-.f64 1 x))
▶	52.8%	(+.f64 1 (*.f64 2 x))
▶	48.8%	(+.f64 -1 (/.f64 -2 x))
	51.4%	1
	47.0%	-1

Compiler

Compiled 48 to 40 computations (16.7% saved)

localize66.0ms (3.1%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 24 to 18 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite71.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

570×	`unpow-prod-down`
431×	`log1p-expm1-u`
431×	`expm1-log1p-u`
408×	`add-exp-log`
395×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	86	16
2	1158	16

Stop Event

1×	node limit

Counts

1 → 58

Calls

Call 1

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

Outputs
(-.f64 (+.f64 1 (+.f64 -1 (/.f64 -2 x))) 1)
(-.f64 (/.f64 1 (-.f64 -1 (/.f64 -2 x))) (/.f64 (/.f64 4 (pow.f64 x 2)) (-.f64 -1 (/.f64 -2 x))))
(*.f64 (+.f64 -1 (/.f64 -2 x)) 1)
(*.f64 (+.f64 -1 (/.f64 -2 x)) (log.f64 (E.f64)))
(*.f64 1 (+.f64 -1 (/.f64 -2 x)))
(*.f64 (cbrt.f64 (+.f64 -1 (/.f64 -2 x))) (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 -2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 -2 x))) 2) (cbrt.f64 (+.f64 -1 (/.f64 -2 x))))
(*.f64 (sqrt.f64 (+.f64 -1 (/.f64 -2 x))) (sqrt.f64 (+.f64 -1 (/.f64 -2 x))))
(*.f64 (fma.f64 -8 (pow.f64 x -3) -1) (/.f64 1 (fma.f64 (/.f64 -2 x) (-.f64 (/.f64 -2 x) -1) 1)))
(*.f64 (-.f64 1 (/.f64 4 (pow.f64 x 2))) (/.f64 1 (-.f64 -1 (/.f64 -2 x))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 -2 x)) 1) (-.f64 (sqrt.f64 (/.f64 -2 x)) 1))
(*.f64 (pow.f64 1 1/3) (+.f64 -1 (/.f64 -2 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 -1 (/.f64 -2 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 -1 (/.f64 -2 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 -1 (/.f64 -2 x)) (cbrt.f64 (+.f64 -1 (/.f64 -2 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 -1 (/.f64 -2 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 -1 (/.f64 -2 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 -1 (/.f64 -2 x)) (cbrt.f64 (+.f64 -1 (/.f64 -2 x)))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 -1 (/.f64 -2 x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 5/2)) (cbrt.f64 (sqrt.f64 (+.f64 -1 (/.f64 -2 x)))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 -2 x) (-.f64 (/.f64 -2 x) -1) 1) (fma.f64 -8 (pow.f64 x -3) -1)))
(/.f64 1 (/.f64 (-.f64 -1 (/.f64 -2 x)) (-.f64 1 (/.f64 4 (pow.f64 x 2)))))
(/.f64 (fma.f64 -8 (pow.f64 x -3) -1) (fma.f64 (/.f64 -2 x) (-.f64 (/.f64 -2 x) -1) 1))
(/.f64 (fma.f64 -8 (pow.f64 x -3) -1) (fma.f64 4 (pow.f64 x -2) (-.f64 1 (/.f64 2 x))))
(/.f64 (-.f64 1 (/.f64 4 (pow.f64 x 2))) (-.f64 -1 (/.f64 -2 x)))
(/.f64 (neg.f64 (fma.f64 -8 (pow.f64 x -3) -1)) (neg.f64 (fma.f64 (/.f64 -2 x) (-.f64 (/.f64 -2 x) -1) 1)))
(/.f64 (neg.f64 (-.f64 1 (/.f64 4 (pow.f64 x 2)))) (neg.f64 (-.f64 -1 (/.f64 -2 x))))
(/.f64 (fma.f64 4 (pow.f64 x -2) -1) (-.f64 (/.f64 -2 x) -1))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 2) (fma.f64 -8 (pow.f64 x -3) -1))) (cbrt.f64 (fma.f64 (/.f64 -2 x) (-.f64 (/.f64 -2 x) -1) 1)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 2) (-.f64 1 (/.f64 4 (pow.f64 x 2))))) (cbrt.f64 (-.f64 -1 (/.f64 -2 x))))
(pow.f64 (+.f64 -1 (/.f64 -2 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 -2 x))) 3)
(pow.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 -1 (/.f64 -2 x))) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 -1 (/.f64 -2 x))))
(pow.f64 (/.f64 (fma.f64 (/.f64 -2 x) (-.f64 (/.f64 -2 x) -1) 1) (fma.f64 -8 (pow.f64 x -3) -1)) -1)
(pow.f64 (/.f64 (-.f64 -1 (/.f64 -2 x)) (-.f64 1 (/.f64 4 (pow.f64 x 2)))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 -2 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 -2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 -1 (/.f64 -2 x))))) (sqrt.f64 (log.f64 (+.f64 -1 (/.f64 -2 x)))))
(sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 2))
(log.f64 (exp.f64 (+.f64 -1 (/.f64 -2 x))))
(cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -8 (pow.f64 x -3) -1) 3) (pow.f64 (fma.f64 (/.f64 -2 x) (-.f64 (/.f64 -2 x) -1) 1) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 4 (pow.f64 x 2))) 3) (pow.f64 (-.f64 -1 (/.f64 -2 x)) 3)))
(expm1.f64 (log1p.f64 (+.f64 -1 (/.f64 -2 x))))
(exp.f64 (log.f64 (+.f64 -1 (/.f64 -2 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 -1 (/.f64 -2 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 -1 (/.f64 -2 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 -1 (/.f64 -2 x)))) 2))
(log1p.f64 (expm1.f64 (+.f64 -1 (/.f64 -2 x))))
(fma.f64 -2 (/.f64 1 x) -1)
(fma.f64 (/.f64 -2 x) 1 -1)
(fma.f64 1 (/.f64 -2 x) -1)
(fma.f64 (cbrt.f64 (/.f64 -2 x)) (cbrt.f64 (/.f64 4 (pow.f64 x 2))) -1)
(fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 2))) (cbrt.f64 (/.f64 -2 x)) -1)
(fma.f64 (sqrt.f64 (/.f64 -2 x)) (sqrt.f64 (/.f64 -2 x)) -1)
(fma.f64 2 (/.f64 1 (neg.f64 x)) -1)
(fma.f64 (/.f64 1 x) -2 -1)

simplify71.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1416×	`times-frac`
792×	`distribute-lft-in`
744×	`distribute-rgt-in`
714×	`div-sub`
582×	`fma-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	161	2293
1	372	2059
2	1063	2047
3	5168	2035

Stop Event

1×	node limit

Counts

70 → 83

Calls

Call 1

Inputs
(/.f64 -2 x)
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 1 (+.f64 -1 (/.f64 -2 x))) 1)
(-.f64 (/.f64 1 (-.f64 -1 (/.f64 -2 x))) (/.f64 (/.f64 4 (pow.f64 x 2)) (-.f64 -1 (/.f64 -2 x))))
(*.f64 (+.f64 -1 (/.f64 -2 x)) 1)
(*.f64 (+.f64 -1 (/.f64 -2 x)) (log.f64 (E.f64)))
(*.f64 1 (+.f64 -1 (/.f64 -2 x)))
(*.f64 (cbrt.f64 (+.f64 -1 (/.f64 -2 x))) (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 -2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 -2 x))) 2) (cbrt.f64 (+.f64 -1 (/.f64 -2 x))))
(*.f64 (sqrt.f64 (+.f64 -1 (/.f64 -2 x))) (sqrt.f64 (+.f64 -1 (/.f64 -2 x))))
(*.f64 (fma.f64 -8 (pow.f64 x -3) -1) (/.f64 1 (fma.f64 (/.f64 -2 x) (-.f64 (/.f64 -2 x) -1) 1)))
(*.f64 (-.f64 1 (/.f64 4 (pow.f64 x 2))) (/.f64 1 (-.f64 -1 (/.f64 -2 x))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 -2 x)) 1) (-.f64 (sqrt.f64 (/.f64 -2 x)) 1))
(*.f64 (pow.f64 1 1/3) (+.f64 -1 (/.f64 -2 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 -1 (/.f64 -2 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 -1 (/.f64 -2 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 -1 (/.f64 -2 x)) (cbrt.f64 (+.f64 -1 (/.f64 -2 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 -1 (/.f64 -2 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 -1 (/.f64 -2 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 -1 (/.f64 -2 x)) (cbrt.f64 (+.f64 -1 (/.f64 -2 x)))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 -1 (/.f64 -2 x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 5/2)) (cbrt.f64 (sqrt.f64 (+.f64 -1 (/.f64 -2 x)))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 -2 x) (-.f64 (/.f64 -2 x) -1) 1) (fma.f64 -8 (pow.f64 x -3) -1)))
(/.f64 1 (/.f64 (-.f64 -1 (/.f64 -2 x)) (-.f64 1 (/.f64 4 (pow.f64 x 2)))))
(/.f64 (fma.f64 -8 (pow.f64 x -3) -1) (fma.f64 (/.f64 -2 x) (-.f64 (/.f64 -2 x) -1) 1))
(/.f64 (fma.f64 -8 (pow.f64 x -3) -1) (fma.f64 4 (pow.f64 x -2) (-.f64 1 (/.f64 2 x))))
(/.f64 (-.f64 1 (/.f64 4 (pow.f64 x 2))) (-.f64 -1 (/.f64 -2 x)))
(/.f64 (neg.f64 (fma.f64 -8 (pow.f64 x -3) -1)) (neg.f64 (fma.f64 (/.f64 -2 x) (-.f64 (/.f64 -2 x) -1) 1)))
(/.f64 (neg.f64 (-.f64 1 (/.f64 4 (pow.f64 x 2)))) (neg.f64 (-.f64 -1 (/.f64 -2 x))))
(/.f64 (fma.f64 4 (pow.f64 x -2) -1) (-.f64 (/.f64 -2 x) -1))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 2) (fma.f64 -8 (pow.f64 x -3) -1))) (cbrt.f64 (fma.f64 (/.f64 -2 x) (-.f64 (/.f64 -2 x) -1) 1)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 2) (-.f64 1 (/.f64 4 (pow.f64 x 2))))) (cbrt.f64 (-.f64 -1 (/.f64 -2 x))))
(pow.f64 (+.f64 -1 (/.f64 -2 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 -2 x))) 3)
(pow.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 -1 (/.f64 -2 x))) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 -1 (/.f64 -2 x))))
(pow.f64 (/.f64 (fma.f64 (/.f64 -2 x) (-.f64 (/.f64 -2 x) -1) 1) (fma.f64 -8 (pow.f64 x -3) -1)) -1)
(pow.f64 (/.f64 (-.f64 -1 (/.f64 -2 x)) (-.f64 1 (/.f64 4 (pow.f64 x 2)))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 -2 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 -2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 -1 (/.f64 -2 x))))) (sqrt.f64 (log.f64 (+.f64 -1 (/.f64 -2 x)))))
(sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 2))
(log.f64 (exp.f64 (+.f64 -1 (/.f64 -2 x))))
(cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -8 (pow.f64 x -3) -1) 3) (pow.f64 (fma.f64 (/.f64 -2 x) (-.f64 (/.f64 -2 x) -1) 1) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 4 (pow.f64 x 2))) 3) (pow.f64 (-.f64 -1 (/.f64 -2 x)) 3)))
(expm1.f64 (log1p.f64 (+.f64 -1 (/.f64 -2 x))))
(exp.f64 (log.f64 (+.f64 -1 (/.f64 -2 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 -1 (/.f64 -2 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 -1 (/.f64 -2 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 -1 (/.f64 -2 x)))) 2))
(log1p.f64 (expm1.f64 (+.f64 -1 (/.f64 -2 x))))
(fma.f64 -2 (/.f64 1 x) -1)
(fma.f64 (/.f64 -2 x) 1 -1)
(fma.f64 1 (/.f64 -2 x) -1)
(fma.f64 (cbrt.f64 (/.f64 -2 x)) (cbrt.f64 (/.f64 4 (pow.f64 x 2))) -1)
(fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 2))) (cbrt.f64 (/.f64 -2 x)) -1)
(fma.f64 (sqrt.f64 (/.f64 -2 x)) (sqrt.f64 (/.f64 -2 x)) -1)
(fma.f64 2 (/.f64 1 (neg.f64 x)) -1)
(fma.f64 (/.f64 1 x) -2 -1)

Outputs
(/.f64 -2 x)
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 (/.f64 -2 x) -1)
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 (/.f64 -2 x) -1)
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 (/.f64 -2 x) -1)
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 (/.f64 -2 x) -1)
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 (/.f64 -2 x) -1)
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 (/.f64 -2 x) -1)
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 (/.f64 -2 x) -1)
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 (/.f64 -2 x) -1)
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 (/.f64 -2 x) -1)
(-.f64 (+.f64 1 (+.f64 -1 (/.f64 -2 x))) 1)
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 (/.f64 -2 x) -1)
(-.f64 (/.f64 1 (-.f64 -1 (/.f64 -2 x))) (/.f64 (/.f64 4 (pow.f64 x 2)) (-.f64 -1 (/.f64 -2 x))))
(/.f64 (-.f64 1 (/.f64 4 (pow.f64 x 2))) (-.f64 -1 (/.f64 -2 x)))
(/.f64 (+.f64 1 (/.f64 -4 (pow.f64 x 2))) (+.f64 (/.f64 2 x) -1))
(*.f64 (+.f64 -1 (/.f64 -2 x)) 1)
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 (/.f64 -2 x) -1)
(*.f64 (+.f64 -1 (/.f64 -2 x)) (log.f64 (E.f64)))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 (/.f64 -2 x) -1)
(*.f64 1 (+.f64 -1 (/.f64 -2 x)))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 (/.f64 -2 x) -1)
(*.f64 (cbrt.f64 (+.f64 -1 (/.f64 -2 x))) (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 -2 x))) 2))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 (/.f64 -2 x) -1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 -2 x))) 2) (cbrt.f64 (+.f64 -1 (/.f64 -2 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 (/.f64 -2 x) -1)
(*.f64 (sqrt.f64 (+.f64 -1 (/.f64 -2 x))) (sqrt.f64 (+.f64 -1 (/.f64 -2 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 (/.f64 -2 x) -1)
(*.f64 (fma.f64 -8 (pow.f64 x -3) -1) (/.f64 1 (fma.f64 (/.f64 -2 x) (-.f64 (/.f64 -2 x) -1) 1)))
(*.f64 (fma.f64 -8 (pow.f64 x -3) -1) (/.f64 1 (fma.f64 (/.f64 -2 x) (+.f64 (/.f64 -2 x) 1) 1)))
(/.f64 (fma.f64 -8 (pow.f64 x -3) -1) (fma.f64 (/.f64 -2 x) (+.f64 (/.f64 -2 x) 1) 1))
(/.f64 (fma.f64 -8 (pow.f64 x -3) -1) (+.f64 (/.f64 -2 x) (fma.f64 4 (pow.f64 x -2) 1)))
(*.f64 (-.f64 1 (/.f64 4 (pow.f64 x 2))) (/.f64 1 (-.f64 -1 (/.f64 -2 x))))
(/.f64 (-.f64 1 (/.f64 4 (pow.f64 x 2))) (-.f64 -1 (/.f64 -2 x)))
(/.f64 (+.f64 1 (/.f64 -4 (pow.f64 x 2))) (+.f64 (/.f64 2 x) -1))
(*.f64 (+.f64 (sqrt.f64 (/.f64 -2 x)) 1) (-.f64 (sqrt.f64 (/.f64 -2 x)) 1))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 (/.f64 -2 x) -1)
(*.f64 (pow.f64 1 1/3) (+.f64 -1 (/.f64 -2 x)))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 (/.f64 -2 x) -1)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 -1 (/.f64 -2 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 -1 (/.f64 -2 x)))) 3))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 (/.f64 -2 x) -1)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 3)) 1/3))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 (/.f64 -2 x) -1)
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 -1 (/.f64 -2 x)) (cbrt.f64 (+.f64 -1 (/.f64 -2 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 -1 (/.f64 -2 x)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 (/.f64 -2 x) -1) (cbrt.f64 (+.f64 (/.f64 -2 x) -1))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 -2 x) -1))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2 x) -1)) 4) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 -2 x) -1))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2 x) -1)) 8)) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 -2 x) -1))))
(*.f64 (pow.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 -1 (/.f64 -2 x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 -2 x) -1) 5/2)) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 -2 x) -1))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 3))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 (/.f64 -2 x) -1)
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 -1 (/.f64 -2 x)) (cbrt.f64 (+.f64 -1 (/.f64 -2 x)))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 -1 (/.f64 -2 x)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 (/.f64 -2 x) -1) (cbrt.f64 (+.f64 (/.f64 -2 x) -1))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 -2 x) -1))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2 x) -1)) 4) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 -2 x) -1))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2 x) -1)) 8)) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 -2 x) -1))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 5/2)) (cbrt.f64 (sqrt.f64 (+.f64 -1 (/.f64 -2 x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 -2 x) -1) 5/2)) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 -2 x) -1))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 -2 x) (-.f64 (/.f64 -2 x) -1) 1) (fma.f64 -8 (pow.f64 x -3) -1)))
(*.f64 (fma.f64 -8 (pow.f64 x -3) -1) (/.f64 1 (fma.f64 (/.f64 -2 x) (+.f64 (/.f64 -2 x) 1) 1)))
(/.f64 (fma.f64 -8 (pow.f64 x -3) -1) (fma.f64 (/.f64 -2 x) (+.f64 (/.f64 -2 x) 1) 1))
(/.f64 (fma.f64 -8 (pow.f64 x -3) -1) (+.f64 (/.f64 -2 x) (fma.f64 4 (pow.f64 x -2) 1)))
(/.f64 1 (/.f64 (-.f64 -1 (/.f64 -2 x)) (-.f64 1 (/.f64 4 (pow.f64 x 2)))))
(/.f64 (-.f64 1 (/.f64 4 (pow.f64 x 2))) (-.f64 -1 (/.f64 -2 x)))
(/.f64 (+.f64 1 (/.f64 -4 (pow.f64 x 2))) (+.f64 (/.f64 2 x) -1))
(/.f64 (fma.f64 -8 (pow.f64 x -3) -1) (fma.f64 (/.f64 -2 x) (-.f64 (/.f64 -2 x) -1) 1))
(*.f64 (fma.f64 -8 (pow.f64 x -3) -1) (/.f64 1 (fma.f64 (/.f64 -2 x) (+.f64 (/.f64 -2 x) 1) 1)))
(/.f64 (fma.f64 -8 (pow.f64 x -3) -1) (fma.f64 (/.f64 -2 x) (+.f64 (/.f64 -2 x) 1) 1))
(/.f64 (fma.f64 -8 (pow.f64 x -3) -1) (+.f64 (/.f64 -2 x) (fma.f64 4 (pow.f64 x -2) 1)))
(/.f64 (fma.f64 -8 (pow.f64 x -3) -1) (fma.f64 4 (pow.f64 x -2) (-.f64 1 (/.f64 2 x))))
(*.f64 (fma.f64 -8 (pow.f64 x -3) -1) (/.f64 1 (fma.f64 (/.f64 -2 x) (+.f64 (/.f64 -2 x) 1) 1)))
(/.f64 (fma.f64 -8 (pow.f64 x -3) -1) (fma.f64 (/.f64 -2 x) (+.f64 (/.f64 -2 x) 1) 1))
(/.f64 (fma.f64 -8 (pow.f64 x -3) -1) (+.f64 (/.f64 -2 x) (fma.f64 4 (pow.f64 x -2) 1)))
(/.f64 (-.f64 1 (/.f64 4 (pow.f64 x 2))) (-.f64 -1 (/.f64 -2 x)))
(/.f64 (+.f64 1 (/.f64 -4 (pow.f64 x 2))) (+.f64 (/.f64 2 x) -1))
(/.f64 (neg.f64 (fma.f64 -8 (pow.f64 x -3) -1)) (neg.f64 (fma.f64 (/.f64 -2 x) (-.f64 (/.f64 -2 x) -1) 1)))
(*.f64 (fma.f64 -8 (pow.f64 x -3) -1) (/.f64 1 (fma.f64 (/.f64 -2 x) (+.f64 (/.f64 -2 x) 1) 1)))
(/.f64 (fma.f64 -8 (pow.f64 x -3) -1) (fma.f64 (/.f64 -2 x) (+.f64 (/.f64 -2 x) 1) 1))
(/.f64 (fma.f64 -8 (pow.f64 x -3) -1) (+.f64 (/.f64 -2 x) (fma.f64 4 (pow.f64 x -2) 1)))
(/.f64 (neg.f64 (-.f64 1 (/.f64 4 (pow.f64 x 2)))) (neg.f64 (-.f64 -1 (/.f64 -2 x))))
(/.f64 (-.f64 1 (/.f64 4 (pow.f64 x 2))) (-.f64 -1 (/.f64 -2 x)))
(/.f64 (+.f64 1 (/.f64 -4 (pow.f64 x 2))) (+.f64 (/.f64 2 x) -1))
(/.f64 (fma.f64 4 (pow.f64 x -2) -1) (-.f64 (/.f64 -2 x) -1))
(/.f64 (fma.f64 4 (pow.f64 x -2) -1) (+.f64 (/.f64 -2 x) 1))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 2) (fma.f64 -8 (pow.f64 x -3) -1))) (cbrt.f64 (fma.f64 (/.f64 -2 x) (-.f64 (/.f64 -2 x) -1) 1)))
(/.f64 (cbrt.f64 (*.f64 (fma.f64 -8 (pow.f64 x -3) -1) (pow.f64 (+.f64 (/.f64 -2 x) -1) 2))) (cbrt.f64 (fma.f64 (/.f64 -2 x) (+.f64 (/.f64 -2 x) 1) 1)))
(/.f64 (cbrt.f64 (*.f64 (fma.f64 -8 (pow.f64 x -3) -1) (pow.f64 (+.f64 (/.f64 -2 x) -1) 2))) (cbrt.f64 (+.f64 (/.f64 -2 x) (fma.f64 4 (pow.f64 x -2) 1))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 2) (-.f64 1 (/.f64 4 (pow.f64 x 2))))) (cbrt.f64 (-.f64 -1 (/.f64 -2 x))))
(/.f64 (cbrt.f64 (*.f64 (-.f64 1 (/.f64 4 (pow.f64 x 2))) (pow.f64 (+.f64 (/.f64 -2 x) -1) 2))) (cbrt.f64 (-.f64 -1 (/.f64 -2 x))))
(/.f64 (cbrt.f64 (*.f64 (+.f64 1 (/.f64 -4 (pow.f64 x 2))) (pow.f64 (+.f64 (/.f64 -2 x) -1) 2))) (cbrt.f64 (+.f64 (/.f64 2 x) -1)))
(pow.f64 (+.f64 -1 (/.f64 -2 x)) 1)
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 (/.f64 -2 x) -1)
(pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 -2 x))) 3)
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 (/.f64 -2 x) -1)
(pow.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 2) 1/2)
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 (/.f64 -2 x) -1)
(pow.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 3) 1/3)
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 (/.f64 -2 x) -1)
(pow.f64 (sqrt.f64 (+.f64 -1 (/.f64 -2 x))) 2)
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 (/.f64 -2 x) -1)
(pow.f64 (E.f64) (log.f64 (+.f64 -1 (/.f64 -2 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 (/.f64 -2 x) -1)
(pow.f64 (/.f64 (fma.f64 (/.f64 -2 x) (-.f64 (/.f64 -2 x) -1) 1) (fma.f64 -8 (pow.f64 x -3) -1)) -1)
(*.f64 (fma.f64 -8 (pow.f64 x -3) -1) (/.f64 1 (fma.f64 (/.f64 -2 x) (+.f64 (/.f64 -2 x) 1) 1)))
(/.f64 (fma.f64 -8 (pow.f64 x -3) -1) (fma.f64 (/.f64 -2 x) (+.f64 (/.f64 -2 x) 1) 1))
(/.f64 (fma.f64 -8 (pow.f64 x -3) -1) (+.f64 (/.f64 -2 x) (fma.f64 4 (pow.f64 x -2) 1)))
(pow.f64 (/.f64 (-.f64 -1 (/.f64 -2 x)) (-.f64 1 (/.f64 4 (pow.f64 x 2)))) -1)
(/.f64 (-.f64 1 (/.f64 4 (pow.f64 x 2))) (-.f64 -1 (/.f64 -2 x)))
(/.f64 (+.f64 1 (/.f64 -4 (pow.f64 x 2))) (+.f64 (/.f64 2 x) -1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 -2 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 -2 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 -2 x) -1))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 -2 x) -1))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 -1 (/.f64 -2 x))))) (sqrt.f64 (log.f64 (+.f64 -1 (/.f64 -2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 -2 x) -1)))) (sqrt.f64 (log.f64 (+.f64 (/.f64 -2 x) -1))))
(sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 2))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 (/.f64 -2 x) -1)
(log.f64 (exp.f64 (+.f64 -1 (/.f64 -2 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 (/.f64 -2 x) -1)
(cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 3))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 (/.f64 -2 x) -1)
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -8 (pow.f64 x -3) -1) 3) (pow.f64 (fma.f64 (/.f64 -2 x) (-.f64 (/.f64 -2 x) -1) 1) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -8 (pow.f64 x -3) -1) 3) (pow.f64 (fma.f64 (/.f64 -2 x) (+.f64 (/.f64 -2 x) 1) 1) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -8 (pow.f64 x -3) -1) 3) (pow.f64 (+.f64 (/.f64 -2 x) (fma.f64 4 (pow.f64 x -2) 1)) 3)))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -8 (pow.f64 x -3) -1) (+.f64 (/.f64 -2 x) (fma.f64 4 (pow.f64 x -2) 1))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 4 (pow.f64 x 2))) 3) (pow.f64 (-.f64 -1 (/.f64 -2 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 -4 (pow.f64 x 2))) 3) (pow.f64 (+.f64 (/.f64 2 x) -1) 3)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -4 (pow.f64 x 2))) (+.f64 (/.f64 2 x) -1)) 3))
(expm1.f64 (log1p.f64 (+.f64 -1 (/.f64 -2 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 (/.f64 -2 x) -1)
(exp.f64 (log.f64 (+.f64 -1 (/.f64 -2 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 (/.f64 -2 x) -1)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 -1 (/.f64 -2 x)))) 3))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 (/.f64 -2 x) -1)
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 -1 (/.f64 -2 x)))) 1/3))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 (/.f64 -2 x) -1)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 -1 (/.f64 -2 x)))) 2))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 (/.f64 -2 x) -1)
(log1p.f64 (expm1.f64 (+.f64 -1 (/.f64 -2 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 (/.f64 -2 x) -1)
(fma.f64 -2 (/.f64 1 x) -1)
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 (/.f64 -2 x) -1)
(fma.f64 (/.f64 -2 x) 1 -1)
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 (/.f64 -2 x) -1)
(fma.f64 1 (/.f64 -2 x) -1)
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 (/.f64 -2 x) -1)
(fma.f64 (cbrt.f64 (/.f64 -2 x)) (cbrt.f64 (/.f64 4 (pow.f64 x 2))) -1)
(fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 2))) (cbrt.f64 (/.f64 -2 x)) -1)
(fma.f64 (cbrt.f64 (/.f64 -2 x)) (cbrt.f64 (/.f64 4 (pow.f64 x 2))) -1)
(fma.f64 (sqrt.f64 (/.f64 -2 x)) (sqrt.f64 (/.f64 -2 x)) -1)
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 (/.f64 -2 x) -1)
(fma.f64 2 (/.f64 1 (neg.f64 x)) -1)
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 (/.f64 -2 x) -1)
(fma.f64 (/.f64 1 x) -2 -1)
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 (/.f64 -2 x) -1)

eval34.0ms (1.6%)

Compiler: Compiled 1171 to 1009 computations (13.8% saved)

prune12.0ms (0.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	2	2
Picked	0	2	2
Done	0	1	1
Total	83	5	88

Accuracy

100.0%

Counts

88 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x 1) (-.f64 1 x))
✓	52.8%	(+.f64 1 (*.f64 2 x))
✓	48.8%	(+.f64 -1 (/.f64 -2 x))
	51.4%	1
	47.0%	-1
✓	100.0%	(/.f64 (+.f64 x 1) (-.f64 1 x))
✓	52.8%	(+.f64 1 (*.f64 2 x))
✓	48.8%	(+.f64 -1 (/.f64 -2 x))
	51.4%	1
	47.0%	-1

Compiler

Compiled 48 to 40 computations (16.7% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune4.0ms (0.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	3	3
Total	5	5

Accuracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x 1) (-.f64 1 x))
✓	52.8%	(+.f64 1 (*.f64 2 x))
✓	48.8%	(+.f64 -1 (/.f64 -2 x))
	51.4%	1
	47.0%	-1
✓	100.0%	(/.f64 (+.f64 x 1) (-.f64 1 x))
✓	52.8%	(+.f64 1 (*.f64 2 x))
✓	48.8%	(+.f64 -1 (/.f64 -2 x))
	51.4%	1
	47.0%	-1

Compiler

Compiled 48 to 40 computations (16.7% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	3	3
Total	5	5

Accuracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x 1) (-.f64 1 x))
✓	52.8%	(+.f64 1 (*.f64 2 x))
✓	48.8%	(+.f64 -1 (/.f64 -2 x))
	51.4%	1
	47.0%	-1

Compiler

Compiled 44 to 36 computations (18.2% saved)

regimes8.0ms (0.4%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(/.f64 (+.f64 x 1) (-.f64 1 x))

Calls

2 calls:

4.0ms	x
2.0ms	(/.f64 (+.f64 x 1) (-.f64 1 x))

Results

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

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes13.0ms (0.6%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
98.5%	3	`x`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes12.0ms (0.6%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
97.7%	3	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes9.0ms (0.4%)

Counts

2 → 3

Calls

Call 1

Inputs
-1
1

Outputs
-1
1
-1

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
96.8%	3	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes4.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
-1

Outputs
-1

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
47.0%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch29.0ms (1.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.00016405950759068686	28.754212984590474
14.0ms	-1512.2424951426199	-0.002544001017935899

Results

26.0ms

288×

body

256

valid

Compiler

Compiled 264 to 225 computations (14.8% saved)

bsearch34.0ms (1.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.00016405950759068686	28.754212984590474
15.0ms	-1512.2424951426199	-0.002544001017935899

Results

26.0ms

288×

body

256

valid

Compiler

Compiled 192 to 171 computations (10.9% saved)

bsearch29.0ms (1.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.00016405950759068686	28.754212984590474
14.0ms	-1512.2424951426199	-0.002544001017935899

Results

26.0ms

288×

body

256

valid

Compiler

Compiled 120 to 117 computations (2.5% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative`
6×	`if-if-or-not`
4×	`sub-neg`
4×	`*-commutative`
3×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	164
1	49	164
2	52	164
3	54	164
4	55	164

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
(if (<=.f64 x -4728779608739021/2251799813685248) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) (+.f64 1 (*.f64 2 x)) (+.f64 -1 (/.f64 -2 x))))
(if (<=.f64 x -1) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) 1 (+.f64 -1 (/.f64 -2 x))))
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) 1 -1))
-1

Outputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
(if (<=.f64 x -4728779608739021/2251799813685248) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) (+.f64 1 (*.f64 2 x)) (+.f64 -1 (/.f64 -2 x))))
(if (or (<=.f64 x -4728779608739021/2251799813685248) (not (<=.f64 x 1))) (+.f64 -1 (/.f64 -2 x)) (+.f64 1 (*.f64 x 2)))
(if (<=.f64 x -1) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) 1 (+.f64 -1 (/.f64 -2 x))))
(if (or (<=.f64 x -1) (not (<=.f64 x 1))) (+.f64 -1 (/.f64 -2 x)) 1)
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) 1 -1))
-1

Compiler

Compiled 58 to 47 computations (19% saved)

soundness84.0ms (3.9%)

Rules

1120×	`fma-def`
834×	`associate-*r/`
802×	`associate-/l*`
726×	`distribute-rgt-in`
718×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	269	3484
1	710	3249
2	2315	3193

Stop Event

1×	node limit

Compiler

Compiled 51 to 44 computations (13.7% saved)

end0.0ms (0%)

preprocess53.0ms (2.5%)

Compiler: Compiled 124 to 98 computations (21% saved)

analyze1.0ms (0.1%)

sample879.0ms (41%)

preprocess113.0ms (5.3%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize27.0ms (1.3%)

series1.0ms (0%)

rewrite197.0ms (9.2%)

simplify69.0ms (3.2%)

eval293.0ms (13.6%)

prune19.0ms (0.9%)

localize66.0ms (3.1%)

series1.0ms (0%)

rewrite71.0ms (3.3%)

simplify71.0ms (3.3%)

eval34.0ms (1.6%)

prune12.0ms (0.6%)

localize0.0ms (0%)

eval0.0ms (0%)

prune4.0ms (0.2%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes8.0ms (0.4%)

regimes13.0ms (0.6%)

regimes12.0ms (0.6%)

regimes9.0ms (0.4%)

regimes4.0ms (0.2%)

bsearch29.0ms (1.4%)

bsearch34.0ms (1.6%)

bsearch29.0ms (1.4%)

simplify6.0ms (0.3%)

soundness84.0ms (3.9%)

end0.0ms (0%)

preprocess53.0ms (2.5%)

Profiling