Metrics for x / (x^2 + 1)

analyze0.0ms (0%)

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
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample856.0ms (61.1%)

Results

842.0ms

8256×

body

256

valid

Bogosity

preprocess131.0ms (9.3%)

Algorithm

1×	egg-herbie

Rules

1836×	`fma-neg`
1734×	`cube-prod`
1352×	`div-sub`
962×	`times-frac`
742×	`distribute-lft-neg-in`

Problems

187×	No Errors
69×	`(/.f64 x (+.f64 (*.f64 x x) 1))`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	14	76
1	29	76
2	53	76
3	102	76
4	249	73
5	844	73
6	2153	73
7	5568	73
8	6499	73
9	7763	73

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 27 to 14 computations (48.1% saved)

eval0.0ms (0%)

Compiler: Compiled 7 to 4 computations (42.9% saved)

prune3.0ms (0.2%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.9%	(/.f64 x (+.f64 (*.f64 x x) 1))
▶	74.9%	(/.f64 x (+.f64 (*.f64 x x) 1))

Compiler

Compiled 16 to 10 computations (37.5% saved)

localize25.0ms (1.8%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	74.9%	(/.f64 x (+.f64 (*.f64 x x) 1))

Compiler

Compiled 19 to 9 computations (52.6% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite103.0ms (7.3%)

Algorithm

1×	batch-egg-rewrite

Rules

766×	`unpow-prod-down`
501×	`log1p-expm1-u`
501×	`expm1-log1p-u`
486×	`log-prod`
426×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	107	24
2	1404	24

Stop Event

1×	node limit

Counts

1 → 64

Calls

Call 1

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

Outputs
(+.f64 0 (/.f64 x (fma.f64 x x 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))))
(-.f64 (+.f64 1 (/.f64 x (fma.f64 x x 1))) 1)
(*.f64 x (pow.f64 (hypot.f64 1 x) -2))
(*.f64 1 (/.f64 x (fma.f64 x x 1)))
(*.f64 (/.f64 x (fma.f64 x x 1)) 1)
(*.f64 (/.f64 x (fma.f64 x x 1)) (log.f64 (E.f64)))
(.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (cbrt.f64 x) (pow.f64 (hypot.f64 1 x) -2)))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 4)) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (pow.f64 (hypot.f64 1 x) -2)))
(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) (/.f64 (sqrt.f64 x) (hypot.f64 1 x)))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x x 1))))
(*.f64 (pow.f64 (hypot.f64 1 x) -2) x)
(*.f64 (pow.f64 (hypot.f64 1 x) -2) (pow.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) -2) (/.f64 x (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 x (hypot.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 2)) 1) (/.f64 (cbrt.f64 x) (fma.f64 x x 1)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4))) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 2)) (hypot.f64 1 x)) (/.f64 (cbrt.f64 x) (hypot.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x x 1)))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4))) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (-.f64 (+.f64 (pow.f64 x 4) 1) (pow.f64 x 2)))
(*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1))
(*.f64 (pow.f64 1 1/3) (/.f64 x (fma.f64 x x 1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) 2) 3) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 6)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 6)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 4) x) 1/3) (cbrt.f64 (pow.f64 (hypot.f64 1 x) -2)))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 x (fma.f64 x x 1)) (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 5/2) 1/3) (cbrt.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) 2) -1) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) -2) -1) (pow.f64 (/.f64 (fma.f64 x x 1) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (/.f64 (fma.f64 x x 1) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x 1)) x) -1))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (cbrt.f64 (pow.f64 x 2))) -1) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x 1)) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (hypot.f64 1 x) 1) -1) (pow.f64 (/.f64 (hypot.f64 1 x) x) -1))
(*.f64 (pow.f64 (/.f64 (hypot.f64 1 x) (cbrt.f64 (pow.f64 x 2))) -1) (pow.f64 (/.f64 (hypot.f64 1 x) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (hypot.f64 1 x) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (hypot.f64 1 x) (sqrt.f64 x)) -1))
(pow.f64 (/.f64 x (fma.f64 x x 1)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 4) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 6) 1/3)
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 2)
(pow.f64 (/.f64 (fma.f64 x x 1) x) -1)
(pow.f64 (E.f64) (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x 2))))
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 6)) 1/3)
(pow.f64 (/.f64 (/.f64 (fma.f64 x x 1) x) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x 2)))) 2)) (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x 2))))) (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x 2)))))
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x x 1))))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 4))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 6))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 6)))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) 3))
(exp.f64 (.f64 (.f64 3 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x))) 2))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 x 2)) (log.f64 x)) -1))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x x 1))))

simplify81.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

656×	`fma-def`
608×	`fma-neg`
598×	`sqr-pow`
520×	`unswap-sqr`
508×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	232	3016
1	570	2891
2	1530	2805
3	4991	2805

Stop Event

1×	node limit

Counts

76 → 116

Calls

Call 1

Inputs
x
(+.f64 x (*.f64 -1 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 5)))
(+.f64 x (+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 -1 (pow.f64 x 7)) (pow.f64 x 5))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(+.f64 0 (/.f64 x (fma.f64 x x 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))))
(-.f64 (+.f64 1 (/.f64 x (fma.f64 x x 1))) 1)
(*.f64 x (pow.f64 (hypot.f64 1 x) -2))
(*.f64 1 (/.f64 x (fma.f64 x x 1)))
(*.f64 (/.f64 x (fma.f64 x x 1)) 1)
(*.f64 (/.f64 x (fma.f64 x x 1)) (log.f64 (E.f64)))
(.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (cbrt.f64 x) (pow.f64 (hypot.f64 1 x) -2)))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 4)) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (pow.f64 (hypot.f64 1 x) -2)))
(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) (/.f64 (sqrt.f64 x) (hypot.f64 1 x)))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x x 1))))
(*.f64 (pow.f64 (hypot.f64 1 x) -2) x)
(*.f64 (pow.f64 (hypot.f64 1 x) -2) (pow.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) -2) (/.f64 x (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 x (hypot.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 2)) 1) (/.f64 (cbrt.f64 x) (fma.f64 x x 1)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4))) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 2)) (hypot.f64 1 x)) (/.f64 (cbrt.f64 x) (hypot.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x x 1)))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4))) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (-.f64 (+.f64 (pow.f64 x 4) 1) (pow.f64 x 2)))
(*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1))
(*.f64 (pow.f64 1 1/3) (/.f64 x (fma.f64 x x 1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) 2) 3) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 6)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 6)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 4) x) 1/3) (cbrt.f64 (pow.f64 (hypot.f64 1 x) -2)))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 x (fma.f64 x x 1)) (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 5/2) 1/3) (cbrt.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) x)) 2) -1) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) -2) -1) (pow.f64 (/.f64 (fma.f64 x x 1) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (/.f64 (fma.f64 x x 1) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x 1)) x) -1))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (cbrt.f64 (pow.f64 x 2))) -1) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4)) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x 1)) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (hypot.f64 1 x) 1) -1) (pow.f64 (/.f64 (hypot.f64 1 x) x) -1))
(*.f64 (pow.f64 (/.f64 (hypot.f64 1 x) (cbrt.f64 (pow.f64 x 2))) -1) (pow.f64 (/.f64 (hypot.f64 1 x) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (hypot.f64 1 x) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (hypot.f64 1 x) (sqrt.f64 x)) -1))
(pow.f64 (/.f64 x (fma.f64 x x 1)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 4) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 6) 1/3)
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 2)
(pow.f64 (/.f64 (fma.f64 x x 1) x) -1)
(pow.f64 (E.f64) (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x 2))))
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 6)) 1/3)
(pow.f64 (/.f64 (/.f64 (fma.f64 x x 1) x) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x 2)))) 2)) (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x 2))))) (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x 2)))))
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x x 1))))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 4))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 6))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 6)))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) 3))
(exp.f64 (.f64 (.f64 3 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x))) 2))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 x 2)) (log.f64 x)) -1))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x x 1))))

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

eval36.0ms (2.6%)

Compiler: Compiled 1613 to 1129 computations (30% saved)

prune16.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	114	2	116
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	114	3	117

Accuracy

100.0%

Counts

117 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.9%	(/.f64 x (+.f64 (*.f64 x x) 1))
▶	49.7%	(/.f64 1 x)
	53.7%	x
✓	74.9%	(/.f64 x (+.f64 (*.f64 x x) 1))
▶	49.7%	(/.f64 1 x)
	53.7%	x

Compiler

Compiled 28 to 18 computations (35.7% saved)

localize18.0ms (1.3%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

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

prune2.0ms (0.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	1	1
Total	3	3

Accuracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.9%	(/.f64 x (+.f64 (*.f64 x x) 1))
✓	49.7%	(/.f64 1 x)
	53.7%	x
✓	74.9%	(/.f64 x (+.f64 (*.f64 x x) 1))
✓	49.7%	(/.f64 1 x)
	53.7%	x

Compiler

Compiled 28 to 18 computations (35.7% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune2.0ms (0.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	2	2
Total	3	3

Accuracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.9%	(/.f64 x (+.f64 (*.f64 x x) 1))
✓	49.7%	(/.f64 1 x)
	53.7%	x
✓	74.9%	(/.f64 x (+.f64 (*.f64 x x) 1))
✓	49.7%	(/.f64 1 x)
	53.7%	x

Compiler

Compiled 28 to 18 computations (35.7% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	2	2
Total	3	3

Accuracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.9%	(/.f64 x (+.f64 (*.f64 x x) 1))
✓	49.7%	(/.f64 1 x)
	53.7%	x

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes21.0ms (1.5%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	(/.f64 x (+.f64 (*.f64 x x) 1))
10.0ms	x

Results

Accuracy	Segments	Branch
100.0%	3	`x`
99.9%	3	`(/.f64 x (+.f64 (*.f64 x x) 1))`

Compiler

Compiled 22 to 13 computations (40.9% saved)

regimes11.0ms (0.8%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(/.f64 1 x)

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
99.7%	3	`x`

Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes3.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
53.7%	1	`x`

Compiler

Compiled 4 to 2 computations (50% saved)

bsearch7.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	predicate-same

Steps

Time	Left	Right
5.0ms	7565992.960781901	274595359468.46536
2.0ms	-16760540168.612957	-3554073.616270803

Results

3.0ms

32×

body

256

valid

Compiler

Compiled 40 to 28 computations (30% saved)

bsearch33.0ms (2.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.7600201461446776e-10	588.4644529543009
17.0ms	-3554073.616270803	-3.863008880073264e-21

Results

30.0ms

336×

body

256

valid

Compiler

Compiled 180 to 134 computations (25.6% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`if-if-or-not`
2×	`1-exp`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	118
1	36	118

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -10000000000) (/.f64 1 x) (if (<=.f64 x 10000000) (/.f64 x (+.f64 (*.f64 x x) 1)) (/.f64 1 x)))
(if (<=.f64 x -1) (/.f64 1 x) (if (<=.f64 x 1) x (/.f64 1 x)))
x

Outputs
(if (<=.f64 x -10000000000) (/.f64 1 x) (if (<=.f64 x 10000000) (/.f64 x (+.f64 (*.f64 x x) 1)) (/.f64 1 x)))
(if (or (<=.f64 x -10000000000) (not (<=.f64 x 10000000))) (/.f64 1 x) (/.f64 x (+.f64 1 (*.f64 x x))))
(if (<=.f64 x -1) (/.f64 1 x) (if (<=.f64 x 1) x (/.f64 1 x)))
(if (or (<=.f64 x -1) (not (<=.f64 x 1))) (/.f64 1 x) x)
x

Compiler

Compiled 36 to 25 computations (30.6% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess46.0ms (3.3%)

Compiler: Compiled 100 to 68 computations (32% saved)

analyze0.0ms (0%)

sample856.0ms (61.1%)

preprocess131.0ms (9.3%)

eval0.0ms (0%)

prune3.0ms (0.2%)

localize25.0ms (1.8%)

series1.0ms (0.1%)

rewrite103.0ms (7.3%)

simplify81.0ms (5.8%)

eval36.0ms (2.6%)

prune16.0ms (1.2%)

localize18.0ms (1.3%)

eval0.0ms (0%)

prune2.0ms (0.2%)

localize0.0ms (0%)

eval0.0ms (0%)

prune2.0ms (0.2%)

localize0.0ms (0%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes21.0ms (1.5%)

regimes11.0ms (0.8%)

regimes3.0ms (0.2%)

bsearch7.0ms (0.5%)

bsearch33.0ms (2.4%)

simplify3.0ms (0.2%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess46.0ms (3.3%)

Profiling