Metrics for Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1

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 7 to 5 computations (28.6% saved)

sample777.0ms (40.1%)

Results

765.0ms

8256×

body

256

valid

Bogosity

preprocess84.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

1030×	`fma-def`
296×	`div-sub`
168×	`times-frac`
158×	`associate-/r*`
116×	`associate-r`

Problems

256×

No Errors

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	13	96
1	26	80
2	47	80
3	108	80
4	280	76
5	819	76
6	1359	76
7	1524	76
8	1814	76
9	1831	76

Stop Event

1×

saturated

Calls

Call 1

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

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

Compiler

Compiled 18 to 12 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize49.0ms (2.5%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite789.0ms (40.7%)

Algorithm

1×	batch-egg-rewrite

Rules

662×	`unpow-prod-down`
450×	`log1p-expm1-u`
450×	`expm1-log1p-u`
429×	`add-exp-log`
420×	`cbrt-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	85	19
2	1171	19

Stop Event

1×	node limit

Counts

1 → 66

Calls

Call 1

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

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

simplify82.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

992×	`associate-r`
934×	`associate-l`
732×	`fma-neg`
702×	`log-prod`
650×	`exp-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	226	2814
1	551	2646
2	1489	2576
3	6192	2423

Stop Event

1×	node limit

Counts

78 → 122

Calls

Call 1

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

Outputs
x
(+.f64 x (pow.f64 x 2))
(fma.f64 x x x)
(+.f64 x (+.f64 (pow.f64 x 2) (pow.f64 x 3)))
(*.f64 x (fma.f64 x (+.f64 x 1) 1))
(fma.f64 x (+.f64 x 1) (pow.f64 x 3))
(+.f64 x (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) (pow.f64 x 4))))
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(/.f64 1 (+.f64 (/.f64 1 x) -1))
(/.f64 1 (+.f64 -1 (/.f64 1 x)))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 x))))
(/.f64 x (-.f64 1 x))

eval38.0ms (2%)

Compiler: Compiled 1563 to 1213 computations (22.4% saved)

prune18.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	120	2	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	120	3	123

Accuracy

100.0%

Counts

123 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (-.f64 1 x))
	47.7%	x
	53.8%	-1
✓	100.0%	(/.f64 x (-.f64 1 x))
	47.7%	x
	53.8%	-1

Compiler

Compiled 20 to 14 computations (30% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

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

Accuracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (-.f64 1 x))
	47.7%	x
	53.8%	-1
✓	100.0%	(/.f64 x (-.f64 1 x))
	47.7%	x
	53.8%	-1

Compiler

Compiled 20 to 14 computations (30% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

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

Accuracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (-.f64 1 x))
	47.7%	x
	53.8%	-1
✓	100.0%	(/.f64 x (-.f64 1 x))
	47.7%	x
	53.8%	-1

Compiler

Compiled 20 to 14 computations (30% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

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

Accuracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (-.f64 1 x))
	47.7%	x
	53.8%	-1

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes8.0ms (0.4%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
3.0ms	(/.f64 x (-.f64 1 x))

Results

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

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes11.0ms (0.6%)

Counts

2 → 3

Calls

Call 1

Inputs
-1
x

Outputs
-1
x
-1

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
97.8%	3	`x`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes3.0ms (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
53.8%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch35.0ms (1.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.301252307714925e-6	33603.732596841495
19.0ms	-3.193429627264068	-6.73352745367408e-26

Results

31.0ms

336×

body

256

valid

Compiler

Compiled 136 to 112 computations (17.6% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	50
1	26	50
2	29	50
3	31	50
4	32	50

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 x (-.f64 1 x))
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) x -1))
-1

Outputs
(/.f64 x (-.f64 1 x))
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) x -1))
-1

Compiler

Compiled 20 to 15 computations (25% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess32.0ms (1.7%)

Compiler: Compiled 48 to 34 computations (29.2% saved)

analyze1.0ms (0.1%)

sample777.0ms (40.1%)

preprocess84.0ms (4.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize49.0ms (2.5%)

series1.0ms (0%)

rewrite789.0ms (40.7%)

simplify82.0ms (4.3%)

eval38.0ms (2%)

prune18.0ms (0.9%)

localize0.0ms (0%)

eval0.0ms (0%)

prune2.0ms (0.1%)

localize0.0ms (0%)

eval0.0ms (0%)

prune2.0ms (0.1%)

localize0.0ms (0%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes8.0ms (0.4%)

regimes11.0ms (0.6%)

regimes3.0ms (0.2%)

bsearch35.0ms (1.8%)

simplify3.0ms (0.1%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess32.0ms (1.7%)

Profiling