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

analyze1.0ms (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
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)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

Operation ival-div, time spent: 0.0ms, 0.0% of total-time

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.6s (59.9%)

Results

1.6s	8255×	0	valid
0.0ms	1×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 378.0ms

Operation ival-sub, time spent: 272.0ms, 72.0% of total-time

Operation ival-div, time spent: 86.0ms, 23.0% of total-time

Operation const, time spent: 19.0ms, 5.0% of total-time

Bogosity

preprocess140.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

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

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(/.f64 x (-.f64 1 x))`
-	-	`(-.f64 1 x)`
-	-	`1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	13	96
1	29	80
2	50	80
3	111	80
4	283	76
5	824	76
6	1365	76
7	1530	76
8	1820	76
9	1837	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 30 to 20 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

Operation ival-sub, time spent: 18.0ms, 72.0% of total-time

Operation ival-div, time spent: 5.0ms, 20.0% of total-time

Operation const, time spent: 2.0ms, 8.0% of total-time

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))

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize98.0ms (3.6%)

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)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

Operation ival-sub, time spent: 77.0ms, 96.0% of total-time

Operation ival-div, time spent: 2.0ms, 2.0% of total-time

Operation const, time spent: 1.0ms, 1.0% of total-time

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))

rewrite204.0ms (7.4%)

Algorithm

1×	batch-egg-rewrite

Rules

664×	`unpow-prod-down`
449×	`log1p-expm1-u`
449×	`expm1-log1p-u`
427×	`add-exp-log`
424×	`cbrt-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	88	19
2	1174	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 (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 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.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 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 x))))
(*.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))))

simplify89.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

994×	`associate-r`
938×	`associate-l`
732×	`fma-neg`
702×	`log-prod`
650×	`exp-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	226	2814
1	554	2646
2	1492	2576
3	6198	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 (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 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.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 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 x))))
(*.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))))
(+.f64 (*.f64 x (fma.f64 x (+.f64 x 1) 1)) (pow.f64 x 4))
(*.f64 (+.f64 (pow.f64 x 2) 1) (fma.f64 x x x))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(-.f64 -1 (/.f64 1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))
(+.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 -1 (neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (-.f64 -1 (/.f64 1 x)) (+.f64 (/.f64 -1 (pow.f64 x 2)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (-.f64 (/.f64 -1 x) (/.f64 1 (pow.f64 x 2))) (+.f64 1 (pow.f64 (/.f64 1 x) 3)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(-.f64 -1 (/.f64 1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))
(+.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 -1 (neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (-.f64 -1 (/.f64 1 x)) (+.f64 (/.f64 -1 (pow.f64 x 2)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (-.f64 (/.f64 -1 x) (/.f64 1 (pow.f64 x 2))) (+.f64 1 (pow.f64 (/.f64 1 x) 3)))
(+.f64 0 (/.f64 x (-.f64 1 x)))
(/.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 3 (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 x (-.f64 1 x))
(-.f64 (+.f64 1 (/.f64 x (-.f64 1 x))) 1)
(/.f64 x (-.f64 1 x))
(*.f64 x (/.f64 1 (-.f64 1 x)))
(/.f64 x (-.f64 1 x))
(*.f64 1 (/.f64 x (-.f64 1 x)))
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 x (-.f64 1 x)) 1)
(/.f64 x (-.f64 1 x))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2)))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) -2)))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2)) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) -2)))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) -2)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(*.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -1/2) (pow.f64 (-.f64 (/.f64 1 x) 1) -1/2))
(/.f64 1 (+.f64 (/.f64 1 x) -1))
(/.f64 1 (+.f64 -1 (/.f64 1 x)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 1 (-.f64 1 x)) x)
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 1 (-.f64 1 x)) (pow.f64 (/.f64 1 x) -1))
(/.f64 x (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 x (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 x)) 3))
(*.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 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 (cbrt.f64 (/.f64 x (-.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) -2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 x)) -2)
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 x)))
(/.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 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 x (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 x)) 3))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x 1) 1))
(/.f64 (*.f64 x (fma.f64 x (+.f64 x 1) 1)) (-.f64 1 (pow.f64 x 3)))
(/.f64 (fma.f64 x (+.f64 x 1) (pow.f64 x 3)) (-.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 2))) (+.f64 x 1))
(*.f64 (+.f64 x 1) (/.f64 x (-.f64 1 (pow.f64 x 2))))
(/.f64 (fma.f64 x x x) (-.f64 1 (pow.f64 x 2)))
(*.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 x (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (/.f64 x (-.f64 1 x)))
(/.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 (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 (sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) -3))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) -3/2)) (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) -3/2)))
(pow.f64 (pow.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) -3/2) 1/6) 4)
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2) x) 1/3) (cbrt.f64 (/.f64 1 (-.f64 1 x))))
(.f64 (cbrt.f64 (.f64 x (pow.f64 (+.f64 (/.f64 1 x) -1) -2))) (cbrt.f64 (/.f64 1 (-.f64 1 x))))
(.f64 (cbrt.f64 (.f64 x (pow.f64 (+.f64 -1 (/.f64 1 x)) -2))) (cbrt.f64 (/.f64 1 (-.f64 1 x))))
(.f64 (cbrt.f64 (.f64 x (pow.f64 (+.f64 -1 (/.f64 1 x)) -2))) (cbrt.f64 (/.f64 -1 (+.f64 x -1))))
(.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 (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 (.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) -2) (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) -2)))) (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 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 5/2)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 5/2)) (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) 1)) 2) -1) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 2)))
(/.f64 (*.f64 1 (cbrt.f64 (/.f64 x (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x))) 2))
(/.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x))) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) -2) -1) (pow.f64 (/.f64 (-.f64 1 x) (cbrt.f64 x)) -1))
(/.f64 x (-.f64 1 x))
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (/.f64 (-.f64 1 x) (sqrt.f64 x)) -1))
(*.f64 (/.f64 1 (pow.f64 x -1/2)) (/.f64 1 (/.f64 (-.f64 1 x) (sqrt.f64 x))))
(*.f64 (/.f64 1 (pow.f64 x -1/2)) (/.f64 (sqrt.f64 x) (-.f64 1 x)))
(/.f64 (/.f64 (sqrt.f64 x) (-.f64 1 x)) (pow.f64 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)) x) -1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 x (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 x)) 3))
(*.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 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 x (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 x)) 3))
(*.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 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 x (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 x)) 3))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) x) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 x)) -2)
(*.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 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 x)) -2)
(*.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 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 x)) -2)
(*.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 (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 (sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) -3))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) -3/2)) (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) -3/2)))
(pow.f64 (pow.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) -3/2) 1/6) 4)
(.f64 (cbrt.f64 (.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2) x)) (cbrt.f64 (/.f64 1 (-.f64 1 x))))
(.f64 (cbrt.f64 (.f64 x (pow.f64 (+.f64 (/.f64 1 x) -1) -2))) (cbrt.f64 (/.f64 1 (-.f64 1 x))))
(.f64 (cbrt.f64 (.f64 x (pow.f64 (+.f64 -1 (/.f64 1 x)) -2))) (cbrt.f64 (/.f64 1 (-.f64 1 x))))
(.f64 (cbrt.f64 (.f64 x (pow.f64 (+.f64 -1 (/.f64 1 x)) -2))) (cbrt.f64 (/.f64 -1 (+.f64 x -1))))
(.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 (.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 (.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) -2) (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) -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)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 5/2)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 5/2)) (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) -1/2)))
(pow.f64 (/.f64 x (-.f64 1 x)) 1)
(/.f64 x (-.f64 1 x))
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 3)
(/.f64 x (-.f64 1 x))
(pow.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2) 1/2)
(/.f64 1 (+.f64 (/.f64 1 x) -1))
(/.f64 1 (+.f64 -1 (/.f64 1 x)))
(pow.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -3) 1/3)
(/.f64 1 (+.f64 (/.f64 1 x) -1))
(/.f64 1 (+.f64 -1 (/.f64 1 x)))
(pow.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -1/2) 2)
(/.f64 1 (+.f64 (/.f64 1 x) -1))
(/.f64 1 (+.f64 -1 (/.f64 1 x)))
(pow.f64 (-.f64 (/.f64 1 x) 1) -1)
(/.f64 1 (+.f64 (/.f64 1 x) -1))
(/.f64 1 (+.f64 -1 (/.f64 1 x)))
(pow.f64 (E.f64) (log.f64 (/.f64 x (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 x) 3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 x) 3)))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
(pow.f64 (/.f64 (-.f64 (/.f64 1 x) 1) 1) -1)
(/.f64 1 (+.f64 (/.f64 1 x) -1))
(/.f64 1 (+.f64 -1 (/.f64 1 x)))
(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))))
(/.f64 x (-.f64 1 x))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2))
(/.f64 1 (+.f64 (/.f64 1 x) -1))
(/.f64 1 (+.f64 -1 (/.f64 1 x)))
(log.f64 (exp.f64 (/.f64 x (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -3))
(/.f64 1 (+.f64 (/.f64 1 x) -1))
(/.f64 1 (+.f64 -1 (/.f64 1 x)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 x) 3)))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(exp.f64 (log.f64 (/.f64 x (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (-.f64 1 x)))) 3))
(/.f64 x (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -3)) 1/3))
(/.f64 1 (+.f64 (/.f64 1 x) -1))
(/.f64 1 (+.f64 -1 (/.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -1/2)) 2))
(/.f64 1 (+.f64 (/.f64 1 x) -1))
(/.f64 1 (+.f64 -1 (/.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 1 x) 1)) -1))
(/.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))

eval87.0ms (3.2%)

Compiler: Compiled 1563 to 1215 computations (22.3% saved)

prune16.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	118	4	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	118	5	123

Accuracy

100.0%

Counts

123 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.6%	(fma.f64 x x x)
✓	100.0%	(/.f64 x (-.f64 1 x))
▶	99.9%	(/.f64 1 (+.f64 (/.f64 1 x) -1))
▶	51.9%	x
▶	48.8%	-1

Compiler

Compiled 23 to 16 computations (30.4% saved)

localize74.0ms (2.7%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	99.9%	(/.f64 1 (+.f64 (/.f64 1 x) -1))

Compiler

Compiled 27 to 18 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

Operation ival-div, time spent: 10.0ms, 42.0% of total-time

Operation ival-add, time spent: 8.0ms, 34.0% of total-time

Operation ival-fma, time spent: 3.0ms, 13.0% of total-time

Operation const, time spent: 2.0ms, 8.0% of total-time

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite73.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

754×	`unpow-prod-down`
493×	`log1p-expm1-u`
493×	`expm1-log1p-u`
466×	`log-prod`
465×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	112	22
2	1424	22

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

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

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

simplify74.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

890×	`fma-neg`
798×	`associate-r`
724×	`associate-l`
528×	`fma-def`
494×	`exp-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	159	1811
1	419	1733
2	1095	1683
3	5271	1660

Stop Event

1×	node limit

Counts

58 → 85

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

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

eval33.0ms (1.2%)

Compiler: Compiled 1073 to 918 computations (14.4% saved)

prune12.0ms (0.4%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	85	5	90

Accuracy

100.0%

Counts

90 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.6%	(fma.f64 x x x)
✓	100.0%	(/.f64 x (-.f64 1 x))
✓	99.9%	(/.f64 1 (+.f64 (/.f64 1 x) -1))
✓	51.9%	x
✓	48.8%	-1

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes28.0ms (1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

24.0ms	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 8 to 5 computations (37.5% saved)

regimes9.0ms (0.3%)

Counts

2 → 3

Calls

Call 1

Inputs
-1
x

Outputs
-1
x
-1

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
96.9%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
-1

Outputs
-1

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
48.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch43.0ms (1.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.003432889284629045	699334.6636828098
26.0ms	-2.47563425928277	-1.4953276377115546e-6

Results

38.0ms	287×	0	valid
0.0ms	1×	0	valid

Compiler

Compiled 118 to 97 computations (17.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

Operation ival-sub, time spent: 5.0ms, 59.0% of total-time

Operation ival-div, time spent: 3.0ms, 35.0% of total-time

Operation const, time spent: 1.0ms, 12.0% of total-time

simplify47.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

4×	`sub-neg`
4×	`+-commutative`
3×	`1-exp`
2×	`neg-mul-1`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	50
1	29	50
2	32	50
3	34	50
4	35	50

Stop Event

1×	done
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%)

preprocess73.0ms (2.7%)

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

analyze1.0ms (0%)

sample1.6s (59.9%)

preprocess140.0ms (5.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize98.0ms (3.6%)

series1.0ms (0%)

rewrite204.0ms (7.4%)

simplify89.0ms (3.2%)

eval87.0ms (3.2%)

prune16.0ms (0.6%)

localize74.0ms (2.7%)

series1.0ms (0%)

rewrite73.0ms (2.7%)

simplify74.0ms (2.7%)

eval33.0ms (1.2%)

prune12.0ms (0.4%)

regimes28.0ms (1%)

regimes9.0ms (0.3%)

regimes3.0ms (0.1%)

bsearch43.0ms (1.5%)

simplify47.0ms (1.7%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess73.0ms (2.7%)

Profiling