Metrics for Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, B

analyze224.0ms (1.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
3.2%	3.1%	93.7%	0.1%	0%	3.1%	0%	6
17.5%	15.6%	73.4%	0.1%	0%	10.9%	0%	7
23%	20.3%	67.9%	0.1%	0%	11.7%	0%	8
34.1%	28.9%	55.8%	0.1%	0%	15.2%	0%	9
37.4%	31.6%	52.9%	0.1%	0%	15.4%	0%	10
43.6%	36.1%	46.7%	0.1%	0%	17.1%	0%	11
45.4%	37.6%	45.2%	0.1%	0%	17.1%	0%	12

Compiler

Compiled 15 to 12 computations (20% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

Operation ival-sub, time spent: 45.0ms, 43.0% of total-time

Operation ival-log, time spent: 41.0ms, 39.0% of total-time

Operation ival-div, time spent: 15.0ms, 14.0% of total-time

Operation const, time spent: 4.0ms, 4.0% of total-time

sample2.6s (15%)

Results

1.0s	6100×	0	valid
640.0ms	2155×	1	valid
142.0ms	1626×	0	invalid
579.0ms	974×	1	invalid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

Operation ival-sub, time spent: 523.0ms, 38.0% of total-time

Operation ival-div, time spent: 401.0ms, 29.0% of total-time

Operation ival-log, time spent: 264.0ms, 19.0% of total-time

Operation backward-pass, time spent: 159.0ms, 12.0% of total-time

Operation const, time spent: 34.0ms, 2.0% of total-time

Bogosity

preprocess738.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

6246×	`fma-neg`
1048×	`fma-define`
1002×	`unsub-neg`
788×	`sub-neg`
652×	`distribute-neg-in`

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
93	-	1	(5.709866592209208e-191 0.014236132143595131)	`(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))`
88	-	0	-	`(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))`
0	-	0	-	`x`
0	-	0	-	`(-.f64 x y)`
0	-	0	-	`y`
0	-	0	-	`(-.f64 1 y)`
0	-	0	-	`(/.f64 (-.f64 x y) (-.f64 1 y))`
0	-	0	-	`(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))`
0	-	0	-	`1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	340
1	85	302
2	213	274
3	524	266
4	1141	266
5	2679	266
6	3229	266
7	3502	266
8	3835	266
9	4356	266
10	4661	266
11	5968	266
12	6677	266
13	7377	266
14	7547	266
15	7607	266
16	7623	266
17	7623	266
18	7631	266

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (neg.f64 (-.f64 1 y)))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (neg.f64 (-.f64 1 y)))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 (neg.f64 x) y) (-.f64 1 y)))))
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 (-.f64 (neg.f64 x) y)) (-.f64 1 y))))
(-.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 1 y))))
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x (neg.f64 y)) (-.f64 1 (neg.f64 y))))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 (neg.f64 x) y) (+.f64 1 y))))
(-.f64 1 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 -1 y))))
(neg.f64 (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 (neg.f64 x) y) (-.f64 1 y))))))
(+.f64 -1 (log1p.f64 (/.f64 (neg.f64 (-.f64 (neg.f64 x) y)) (-.f64 1 y))))
(+.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 1 y))) -1)
(neg.f64 (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x (neg.f64 y)) (-.f64 1 (neg.f64 y)))))))
(+.f64 -1 (log1p.f64 (/.f64 (-.f64 (neg.f64 x) y) (+.f64 1 y))))
(+.f64 (log1p.f64 (/.f64 (-.f64 (neg.f64 x) y) (+.f64 1 y))) -1)
(+.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 -1 y))) -1)
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 y x) (-.f64 1 x)))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 y x) (neg.f64 (-.f64 1 x)))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (-.f64 1 x))))

Compiler

Compiled 114 to 69 computations (39.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 169.0ms

Operation ival-sub, time spent: 70.0ms, 41.0% of total-time

Operation ival-log, time spent: 67.0ms, 40.0% of total-time

Operation ival-div, time spent: 26.0ms, 15.0% of total-time

Operation const, time spent: 5.0ms, 3.0% of total-time

eval1.0ms (0%)

Compiler: Compiled 23 to 16 computations (30.4% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.1%	(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))

Compiler

Compiled 12 to 9 computations (25% saved)

localize132.0ms (0.8%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
✓	100.0%	(/.f64 (-.f64 x y) (+.f64 y -1))
✓	68.1%	(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))

Compiler

Compiled 38 to 21 computations (44.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 119.0ms

Operation composed, time spent: 44.0ms, 37.0% of total-time

Operation ival-log, time spent: 30.0ms, 25.0% of total-time

Operation ival-add, time spent: 25.0ms, 21.0% of total-time

Operation ival-div, time spent: 11.0ms, 9.0% of total-time

Operation ival-sub, time spent: 6.0ms, 5.0% of total-time

Operation const, time spent: 3.0ms, 3.0% of total-time

series29.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))
3.0ms	x	@	inf	(/.f64 (-.f64 x y) (+.f64 y -1))
2.0ms	y	@	inf	(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))
2.0ms	y	@	0	(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))
2.0ms	x	@	-inf	(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))

rewrite233.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1114×	`log1p-expm1-u`
1114×	`expm1-log1p-u`
678×	`fma-define`
386×	`fma-neg`
338×	`expm1-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	98
1	193	98
2	2859	98

Stop Event

1×	node limit

Counts

3 → 115

Calls

Call 1

Inputs
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))
(/.f64 (-.f64 x y) (+.f64 y -1))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))

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

simplify168.0ms (1%)

Algorithm

1×	egg-herbie

Rules

906×	`sub-neg`
674×	`fma-neg`
574×	`fma-define`
536×	`+-commutative`
480×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	562	12942
1	1701	11506
2	5967	10950

Stop Event

1×	node limit

Counts

187 → 363

Calls

Call 1

Inputs
(log.f64 (-.f64 1 (/.f64 y (-.f64 y 1))))
(+.f64 (log.f64 (-.f64 1 (/.f64 y (-.f64 y 1)))) (/.f64 x (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1))))
(+.f64 (log.f64 (-.f64 1 (/.f64 y (-.f64 y 1)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 2) (pow.f64 (-.f64 y 1) 2)))) (/.f64 x (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1)))))
(+.f64 (log.f64 (-.f64 1 (/.f64 y (-.f64 y 1)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 2) (pow.f64 (-.f64 y 1) 2)))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 3) (pow.f64 (-.f64 y 1) 3)))) (/.f64 x (*.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1))))))
(+.f64 (log.f64 (/.f64 1 (-.f64 y 1))) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (/.f64 1 (-.f64 y 1))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1)) x)))
(+.f64 (log.f64 (/.f64 1 (-.f64 y 1))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2))) (/.f64 (.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1)) x))))
(+.f64 (log.f64 (/.f64 1 (-.f64 y 1))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 3) (pow.f64 (-.f64 y 1) 3)) (pow.f64 x 3))) (/.f64 (.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1)) x)))))
(+.f64 (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 (.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x)))
(+.f64 (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (+.f64 1 (.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2))) (/.f64 (.f64 (+.f64 1 (.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x))))
(+.f64 (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (+.f64 1 (.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 (+.f64 1 (.f64 -1 (/.f64 y (-.f64 y 1)))) 3) (pow.f64 (-.f64 y 1) 3)) (pow.f64 x 3))) (/.f64 (.f64 (+.f64 1 (*.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x)))))
(log.f64 (+.f64 1 (*.f64 -1 x)))
(+.f64 (log.f64 (+.f64 1 (.f64 -1 x))) (.f64 y (-.f64 (/.f64 1 (+.f64 1 (.f64 -1 x))) (/.f64 x (+.f64 1 (.f64 -1 x))))))
(+.f64 (log.f64 (+.f64 1 (.f64 -1 x))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 1 (.f64 -1 x)) 2))) (.f64 2 (/.f64 (-.f64 1 x) (+.f64 1 (.f64 -1 x))))))) (.f64 y (-.f64 (/.f64 1 (+.f64 1 (.f64 -1 x))) (/.f64 x (+.f64 1 (.f64 -1 x)))))))
(+.f64 (log.f64 (+.f64 1 (.f64 -1 x))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (+.f64 (.f64 -6 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 1 (.f64 -1 x)) 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 1 (.f64 -1 x)) 3))) (.f64 6 (/.f64 (-.f64 1 x) (+.f64 1 (.f64 -1 x)))))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 1 (.f64 -1 x)) 2))) (.f64 2 (/.f64 (-.f64 1 x) (+.f64 1 (.f64 -1 x))))))) (.f64 y (-.f64 (/.f64 1 (+.f64 1 (.f64 -1 x))) (/.f64 x (+.f64 1 (.f64 -1 x))))))))
(+.f64 (log.f64 (-.f64 x 1)) (log.f64 (/.f64 1 y)))
(+.f64 (log.f64 (-.f64 x 1)) (+.f64 (log.f64 (/.f64 1 y)) (.f64 -1 (/.f64 (+.f64 1 (.f64 -1 x)) (*.f64 y (-.f64 x 1))))))
(+.f64 (log.f64 (-.f64 x 1)) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -1 x)) (.f64 y (-.f64 x 1)))) (.f64 1/2 (/.f64 (+.f64 (.f64 -2 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 x 1))) (.f64 -1 (/.f64 (pow.f64 (+.f64 1 (.f64 -1 x)) 2) (pow.f64 (-.f64 x 1) 2)))) (pow.f64 y 2))))))
(+.f64 (log.f64 (-.f64 x 1)) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -1 x)) (.f64 y (-.f64 x 1)))) (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -6 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 x 1))) (+.f64 (.f64 -6 (/.f64 (pow.f64 (+.f64 1 (.f64 -1 x)) 2) (pow.f64 (-.f64 x 1) 2))) (.f64 -2 (/.f64 (pow.f64 (+.f64 1 (.f64 -1 x)) 3) (pow.f64 (-.f64 x 1) 3))))) (pow.f64 y 3))) (.f64 1/2 (/.f64 (+.f64 (.f64 -2 (/.f64 (+.f64 1 (.f64 -1 x)) (-.f64 x 1))) (.f64 -1 (/.f64 (pow.f64 (+.f64 1 (*.f64 -1 x)) 2) (pow.f64 (-.f64 x 1) 2)))) (pow.f64 y 2)))))))
(+.f64 (log.f64 (*.f64 -1 (-.f64 x 1))) (log.f64 (/.f64 -1 y)))
(+.f64 (log.f64 (.f64 -1 (-.f64 x 1))) (+.f64 (log.f64 (/.f64 -1 y)) (.f64 -1 (/.f64 (-.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) y))))
(+.f64 (log.f64 (.f64 -1 (-.f64 x 1))) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) y)) (.f64 1/2 (/.f64 (+.f64 2 (.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) 2)))) (pow.f64 y 2))))))
(+.f64 (log.f64 (.f64 -1 (-.f64 x 1))) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (-.f64 x 1))) y)) (+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 -6 (/.f64 (-.f64 1 x) (-.f64 x 1))) (+.f64 (.f64 2 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 x 1) 3))) (.f64 6 (/.f64 (-.f64 1 x) (-.f64 x 1))))) (pow.f64 y 3))) (.f64 1/2 (/.f64 (+.f64 2 (.f64 -1 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) 2)))) (pow.f64 y 2)))))))
(*.f64 -1 (/.f64 y (-.f64 y 1)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 y 1))) (/.f64 x (-.f64 y 1)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 y 1))) (/.f64 x (-.f64 y 1)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 y 1))) (/.f64 x (-.f64 y 1)))
(/.f64 x (-.f64 y 1))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 y 1))) (/.f64 x (-.f64 y 1)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 y 1))) (/.f64 x (-.f64 y 1)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 y 1))) (/.f64 x (-.f64 y 1)))
(/.f64 x (-.f64 y 1))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 y 1))) (/.f64 x (-.f64 y 1)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 y 1))) (/.f64 x (-.f64 y 1)))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 y 1))) (/.f64 x (-.f64 y 1)))
(*.f64 -1 x)
(+.f64 (.f64 -1 x) (.f64 y (-.f64 1 x)))
(+.f64 (.f64 -1 x) (+.f64 (.f64 y (-.f64 1 x)) (*.f64 (pow.f64 y 2) (-.f64 1 x))))
(+.f64 (.f64 -1 x) (+.f64 (.f64 y (-.f64 1 x)) (+.f64 (.f64 (pow.f64 y 2) (-.f64 1 x)) (.f64 (pow.f64 y 3) (-.f64 1 x)))))
-1
(-.f64 (/.f64 x y) (+.f64 1 (/.f64 1 y)))
(-.f64 (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 2))) (+.f64 1 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))))
(-.f64 (+.f64 (/.f64 x y) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x (pow.f64 y 3)))) (+.f64 1 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))))))
-1
(-.f64 (/.f64 x y) (+.f64 1 (/.f64 1 y)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2))) (/.f64 x y)) (+.f64 1 (/.f64 1 y)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))) (+.f64 1 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))))
(-.f64 1 (log.f64 (-.f64 1 (/.f64 y (-.f64 y 1)))))
(-.f64 (+.f64 1 (.f64 -1 (/.f64 x (.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1))))) (log.f64 (-.f64 1 (/.f64 y (-.f64 y 1)))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 x (.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1)))) (.f64 1/2 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 2) (pow.f64 (-.f64 y 1) 2)))))) (log.f64 (-.f64 1 (/.f64 y (-.f64 y 1)))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 x (.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1)))) (+.f64 (.f64 -1/3 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 3) (pow.f64 (-.f64 y 1) 3)))) (.f64 1/2 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 2) (pow.f64 (-.f64 y 1) 2))))))) (log.f64 (-.f64 1 (/.f64 y (-.f64 y 1)))))
(-.f64 1 (+.f64 (log.f64 (/.f64 1 (-.f64 y 1))) (*.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (+.f64 1 (.f64 -1 (/.f64 (.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1)) x))) (+.f64 (log.f64 (/.f64 1 (-.f64 y 1))) (*.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1)) x)) (.f64 1/2 (/.f64 (.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2))))) (+.f64 (log.f64 (/.f64 1 (-.f64 y 1))) (*.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) (-.f64 y 1)) x)) (+.f64 (.f64 -1/3 (/.f64 (.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 3) (pow.f64 (-.f64 y 1) 3)) (pow.f64 x 3))) (.f64 1/2 (/.f64 (.f64 (pow.f64 (-.f64 1 (/.f64 y (-.f64 y 1))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2)))))) (+.f64 (log.f64 (/.f64 1 (-.f64 y 1))) (*.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 1 (+.f64 (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(-.f64 (+.f64 1 (.f64 -1 (/.f64 (.f64 (+.f64 1 (.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x))) (+.f64 (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))) (.f64 -1 (log.f64 (/.f64 -1 x)))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 (.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x)) (.f64 1/2 (/.f64 (.f64 (pow.f64 (+.f64 1 (.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2))))) (+.f64 (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 (.f64 -1 (/.f64 y (-.f64 y 1)))) (-.f64 y 1)) x)) (+.f64 (.f64 -1/3 (/.f64 (.f64 (pow.f64 (+.f64 1 (.f64 -1 (/.f64 y (-.f64 y 1)))) 3) (pow.f64 (-.f64 y 1) 3)) (pow.f64 x 3))) (.f64 1/2 (/.f64 (.f64 (pow.f64 (+.f64 1 (.f64 -1 (/.f64 y (-.f64 y 1)))) 2) (pow.f64 (-.f64 y 1) 2)) (pow.f64 x 2)))))) (+.f64 (log.f64 (neg.f64 (/.f64 1 (-.f64 y 1)))) (.f64 -1 (log.f64 (/.f64 -1 x)))))
(-.f64 1 (log.f64 (+.f64 1 (*.f64 -1 x))))
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(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 2)) (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 1)
(fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 1)

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

eval250.0ms (1.4%)

Compiler: Compiled 10553 to 7838 computations (25.7% saved)

prune150.0ms (0.9%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	346	17	363
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	346	18	364

Accuracy

99.9%

Counts

364 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	40.0%	(pow.f64 (pow.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3) 1/3)
	66.9%	(/.f64 1 (/.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1) (-.f64 1 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 2))))
	33.6%	(-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y)))
	67.5%	(-.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3))
	12.1%	(-.f64 1 (-.f64 (log.f64 (+.f64 x -1)) (log.f64 y)))
	32.8%	(-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1/2 (pow.f64 y 2))) (log1p.f64 (neg.f64 x)))))
	33.1%	(-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 y))))
	55.5%	(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x))))
✓	68.1%	(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
▶	39.4%	(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 y -1))))
	68.2%	(-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1))))
▶	68.4%	(-.f64 1 (log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y))))
	57.4%	(-.f64 1 (log1p.f64 (neg.f64 x)))
▶	2.4%	(-.f64 1 (log1p.f64 -1))
	67.8%	(-.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 3)))
	32.8%	(+.f64 1 (+.f64 (/.f64 -1/2 (pow.f64 y 2)) (-.f64 (/.f64 (+.f64 (/.f64 x (-.f64 1 x)) (/.f64 -1 (-.f64 1 x))) y) (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))))))
▶	39.9%	(exp.f64 (log1p.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))
	67.8%	(cbrt.f64 (pow.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3))

Compiler

Compiled 514 to 411 computations (20% saved)

localize362.0ms (2.1%)

Compiler: Compiled 204 to 122 computations (40.2% saved)
Precisions: Click to see histograms. Total time spent on operations: 371.0ms
Operation composed, time spent: 124.0ms, 33.0% of total-time
Operation ival-log, time spent: 85.0ms, 23.0% of total-time
Operation ival-add, time spent: 60.0ms, 16.0% of total-time
Operation ival-div, time spent: 40.0ms, 11.0% of total-time
Operation ival-pow, time spent: 29.0ms, 8.0% of total-time
Operation ival-sub, time spent: 12.0ms, 3.0% of total-time
Operation const, time spent: 8.0ms, 2.0% of total-time
Operation ival-neg, time spent: 6.0ms, 2.0% of total-time
Operation ival-mult, time spent: 6.0ms, 2.0% of total-time
Operation ival-exp, time spent: 3.0ms, 1.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune19.0ms (0.1%)

Pruning

18 alts after pruning (12 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	12	12
Picked	5	5
Done	1	1
Total	18	18

Accuracy

99.9%

Counts

18 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	40.0%	(pow.f64 (pow.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3) 1/3)
	66.9%	(/.f64 1 (/.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1) (-.f64 1 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 2))))
	33.6%	(-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y)))
	67.5%	(-.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3))
▶	12.1%	(-.f64 1 (-.f64 (log.f64 (+.f64 x -1)) (log.f64 y)))
	32.8%	(-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1/2 (pow.f64 y 2))) (log1p.f64 (neg.f64 x)))))
▶	33.1%	(-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 y))))
	55.5%	(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x))))
✓	68.1%	(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
✓	39.4%	(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 y -1))))
▶	68.2%	(-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1))))
✓	68.4%	(-.f64 1 (log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y))))
▶	57.4%	(-.f64 1 (log1p.f64 (neg.f64 x)))
✓	2.4%	(-.f64 1 (log1p.f64 -1))
▶	67.8%	(-.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 3)))
	32.8%	(+.f64 1 (+.f64 (/.f64 -1/2 (pow.f64 y 2)) (-.f64 (/.f64 (+.f64 (/.f64 x (-.f64 1 x)) (/.f64 -1 (-.f64 1 x))) y) (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))))))
✓	39.9%	(exp.f64 (log1p.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))
	67.8%	(cbrt.f64 (pow.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3))

Compiler

Compiled 454 to 362 computations (20.3% saved)

localize296.0ms (1.7%)

Compiler: Compiled 181 to 105 computations (42% saved)
Precisions: Click to see histograms. Total time spent on operations: 247.0ms
Operation ival-log, time spent: 64.0ms, 26.0% of total-time
Operation composed, time spent: 58.0ms, 24.0% of total-time
Operation ival-div, time spent: 34.0ms, 14.0% of total-time
Operation ival-pow, time spent: 34.0ms, 14.0% of total-time
Operation ival-add, time spent: 30.0ms, 12.0% of total-time
Operation ival-sub, time spent: 16.0ms, 6.0% of total-time
Operation const, time spent: 6.0ms, 2.0% of total-time
Operation ival-cbrt, time spent: 4.0ms, 2.0% of total-time
Operation ival-neg, time spent: 1.0ms, 0.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune12.0ms (0.1%)

Pruning

18 alts after pruning (7 fresh and 11 done)

	Kept	Total
New	0	0
Fresh	7	7
Picked	5	5
Done	6	6
Total	18	18

Accuracy

99.9%

Counts

18 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	40.0%	(pow.f64 (pow.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3) 1/3)
	66.9%	(/.f64 1 (/.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1) (-.f64 1 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 2))))
▶	33.6%	(-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y)))
▶	67.5%	(-.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3))
✓	12.1%	(-.f64 1 (-.f64 (log.f64 (+.f64 x -1)) (log.f64 y)))
▶	32.8%	(-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1/2 (pow.f64 y 2))) (log1p.f64 (neg.f64 x)))))
✓	33.1%	(-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 y))))
▶	55.5%	(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x))))
✓	68.1%	(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
✓	39.4%	(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 y -1))))
✓	68.2%	(-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1))))
✓	68.4%	(-.f64 1 (log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y))))
✓	57.4%	(-.f64 1 (log1p.f64 (neg.f64 x)))
✓	2.4%	(-.f64 1 (log1p.f64 -1))
✓	67.8%	(-.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 3)))
	32.8%	(+.f64 1 (+.f64 (/.f64 -1/2 (pow.f64 y 2)) (-.f64 (/.f64 (+.f64 (/.f64 x (-.f64 1 x)) (/.f64 -1 (-.f64 1 x))) y) (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))))))
✓	39.9%	(exp.f64 (log1p.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))
▶	67.8%	(cbrt.f64 (pow.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3))

Compiler

Compiled 395 to 314 computations (20.5% saved)

localize1.1s (6.4%)

Localize:

Found 16 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (/.f64 1 y) (/.f64 1/2 (pow.f64 y 2)))
✓	100.0%	(log.f64 (/.f64 -1 y))
✓	99.9%	(+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1/2 (pow.f64 y 2))) (log1p.f64 (neg.f64 x))))
✓	99.6%	(/.f64 1/2 (pow.f64 y 2))
✓	100.0%	(-.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3))
✓	99.5%	(cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
✓	99.3%	(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3)
	73.8%	(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))
✓	100.0%	(log.f64 (/.f64 -1 y))
✓	100.0%	(-.f64 1 (log1p.f64 (neg.f64 x)))
✓	99.8%	(-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y)))
✓	100.0%	(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x))))
	100.0%	(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
✓	99.6%	(cbrt.f64 (pow.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3))
✓	99.5%	(pow.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3)
	73.8%	(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))

Compiler

Compiled 263 to 151 computations (42.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.2s

Operation ival-log, time spent: 428.0ms, 36.0% of total-time

Operation composed, time spent: 425.0ms, 35.0% of total-time

Operation ival-div, time spent: 115.0ms, 10.0% of total-time

Operation ival-pow, time spent: 92.0ms, 8.0% of total-time

Operation ival-add, time spent: 81.0ms, 7.0% of total-time

Operation ival-sub, time spent: 26.0ms, 2.0% of total-time

Operation ival-cbrt, time spent: 19.0ms, 2.0% of total-time

Operation const, time spent: 16.0ms, 1.0% of total-time

Operation ival-neg, time spent: 2.0ms, 0.0% of total-time

series281.0ms (1.6%)

Counts

13 → 232

Calls

63 calls:

Time	Variable		Point	Expression
47.0ms	y	@	0	(-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y)))
20.0ms	y	@	-inf	(cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
15.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3)
13.0ms	y	@	-inf	(-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y)))
12.0ms	y	@	inf	(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3)

rewrite136.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

298×	`log1p-expm1-u`
298×	`expm1-log1p-u`
284×	`add-cube-cbrt`
283×	`add-exp-log`
280×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	412
1	656	380

Stop Event

1×	node limit

Counts

13 → 368

Calls

Call 1

Inputs
(pow.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3)
(cbrt.f64 (pow.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3))
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x))))
(-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y)))
(-.f64 1 (log1p.f64 (neg.f64 x)))
(log.f64 (/.f64 -1 y))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3)
(cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(-.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3))
(/.f64 1/2 (pow.f64 y 2))
(+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1/2 (pow.f64 y 2))) (log1p.f64 (neg.f64 x))))
(log.f64 (/.f64 -1 y))
(+.f64 (/.f64 1 y) (/.f64 1/2 (pow.f64 y 2)))

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

simplify826.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

1134×	`*-commutative`
914×	`+-commutative`
816×	`sub-neg`
610×	`fma-define`
450×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	2022	110969
1	6932	110285

Stop Event

1×	node limit

Counts

600 → 791

Calls

Call 1

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

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

eval3.5s (20.3%)

Compiler: Compiled 95454 to 75708 computations (20.7% saved)

prune360.0ms (2.1%)

Pruning

32 alts after pruning (21 fresh and 11 done)

	Pruned	Kept	Total
New	1352	19	1371
Fresh	0	2	2
Picked	2	3	5
Done	3	8	11
Total	1357	32	1389

Accuracy

100.0%

Counts

1389 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	40.0%	(pow.f64 (pow.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3) 1/3)
	6.2%	(pow.f64 (sqrt.f64 (-.f64 1 (+.f64 (log1p.f64 x) (neg.f64 (log.f64 y))))) 2)
	12.3%	(/.f64 (-.f64 (pow.f64 (-.f64 1 (log1p.f64 x)) 2) (pow.f64 (neg.f64 (log.f64 y)) 2)) (-.f64 (-.f64 1 (log1p.f64 x)) (log.f64 y)))
	66.9%	(/.f64 1 (/.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1) (-.f64 1 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 2))))
✓	33.6%	(-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y)))
	23.0%	(-.f64 (+.f64 1 x) (log.f64 (/.f64 -1 y)))
	38.6%	(-.f64 (+.f64 1 x) y)
	11.9%	(-.f64 1 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 x -1)) (log.f64 y))) 3))
	33.2%	(-.f64 1 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y)))) 3))
	39.4%	(-.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 y -1)))) 3))
	6.3%	(-.f64 1 (/.f64 1/2 (pow.f64 y 2)))
	24.3%	(-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 1 y) (/.f64 1/2 (pow.f64 y 2)))))
✓	33.1%	(-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 y))))
✓	55.5%	(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x))))
	37.4%	(-.f64 1 (+.f64 y (log1p.f64 x)))
✓	68.1%	(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
✓	39.4%	(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 y -1))))
✓	68.2%	(-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1))))
✓	68.4%	(-.f64 1 (log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y))))
✓	57.4%	(-.f64 1 (log1p.f64 (neg.f64 x)))
✓	2.4%	(-.f64 1 (log1p.f64 -1))
	25.2%	(-.f64 1 (log.f64 (/.f64 -1 y)))
	37.9%	(-.f64 1 y)
	12.4%	(+.f64 (-.f64 1 (log1p.f64 x)) (log.f64 y))
	32.8%	(+.f64 1 (+.f64 (/.f64 -1/2 (pow.f64 y 2)) (-.f64 (/.f64 (+.f64 (/.f64 x (-.f64 1 x)) (/.f64 -1 (-.f64 1 x))) y) (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))))))
	4.2%	(neg.f64 y)
	12.4%	(log.f64 (.f64 (exp.f64 (-.f64 1 (log1p.f64 x))) (.f64 y 1)))
	6.1%	(expm1.f64 (log1p.f64 (+.f64 (-.f64 1 (log1p.f64 x)) (log.f64 y))))
	6.1%	(exp.f64 (log.f64 (-.f64 1 (+.f64 (log1p.f64 x) (neg.f64 (log.f64 y))))))
	33.4%	(cbrt.f64 (fma.f64 -1 (/.f64 (.f64 3 (.f64 (pow.f64 (-.f64 1 (+.f64 (log.f64 (neg.f64 (+.f64 x -1))) (log.f64 (/.f64 -1 y)))) 2) (-.f64 (/.f64 x (+.f64 x -1)) (/.f64 1 (+.f64 x -1))))) y) (pow.f64 (-.f64 1 (+.f64 (log.f64 (neg.f64 (+.f64 x -1))) (log.f64 (/.f64 -1 y)))) 3)))
	33.5%	(cbrt.f64 (pow.f64 (-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y))) 3))
✓	67.8%	(cbrt.f64 (pow.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3))

Compiler

Compiled 900 to 677 computations (24.8% saved)

regimes414.0ms (2.4%)

Counts

38 → 3

Calls

Call 1

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

Outputs
(+.f64 1 (+.f64 (/.f64 -1/2 (pow.f64 y 2)) (-.f64 (/.f64 (+.f64 (/.f64 x (-.f64 1 x)) (/.f64 -1 (-.f64 1 x))) y) (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(log.f64 (.f64 (exp.f64 (-.f64 1 (log1p.f64 x))) (.f64 y 1)))

Outputs

(+.f64 1 (+.f64 (/.f64 -1/2 (pow.f64 y 2)) (-.f64 (/.f64 (+.f64 (/.f64 x (-.f64 1 x)) (/.f64 -1 (-.f64 1 x))) y) (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))))))

(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))

(log.f64 (*.f64 (exp.f64 (-.f64 1 (log1p.f64 x))) (*.f64 y 1)))

Calls

6 calls:

169.0ms	x
132.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))
70.0ms	y
20.0ms	(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
11.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))

Results

Accuracy	Segments	Branch
79.2%	6	`x`
99.7%	3	`y`
94.0%	2	`(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))`
94.0%	2	`(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))`
94.0%	2	`(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))`
94.0%	2	`(/.f64 (-.f64 x y) (-.f64 1 y))`

Compiler

Compiled 52 to 38 computations (26.9% saved)

regimes40.0ms (0.2%)

Counts

29 → 3

Calls

Call 1

Inputs
(neg.f64 y)
(-.f64 1 y)
(-.f64 (+.f64 1 x) y)
(-.f64 1 (log1p.f64 -1))
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log.f64 (/.f64 -1 y)))
(-.f64 1 (+.f64 y (log1p.f64 x)))
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x))))
(-.f64 1 (/.f64 1/2 (pow.f64 y 2)))
(-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1))))
(-.f64 (+.f64 1 x) (log.f64 (/.f64 -1 y)))
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 y -1))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
(-.f64 1 (log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y))))
(+.f64 (-.f64 1 (log1p.f64 x)) (log.f64 y))
(-.f64 1 (-.f64 (log.f64 (+.f64 x -1)) (log.f64 y)))
(-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y)))
(-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 y))))
(-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 1 y) (/.f64 1/2 (pow.f64 y 2)))))
(log.f64 (.f64 (exp.f64 (-.f64 1 (log1p.f64 x))) (.f64 y 1)))
(exp.f64 (log1p.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))
(-.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 y -1)))) 3))
(cbrt.f64 (pow.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3))
(-.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 3)))
(-.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3))
(pow.f64 (pow.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3) 1/3)
(-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1/2 (pow.f64 y 2))) (log1p.f64 (neg.f64 x)))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 1) (-.f64 1 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 2))))

Outputs

(-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1/2 (pow.f64 y 2))) (log1p.f64 (neg.f64 x)))))

(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))

(log.f64 (*.f64 (exp.f64 (-.f64 1 (log1p.f64 x))) (*.f64 y 1)))

Calls

1 calls:

38.0ms

Results

Accuracy	Segments	Branch
99.7%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes38.0ms (0.2%)

Counts

27 → 3

Calls

Call 1

Inputs
(neg.f64 y)
(-.f64 1 y)
(-.f64 (+.f64 1 x) y)
(-.f64 1 (log1p.f64 -1))
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log.f64 (/.f64 -1 y)))
(-.f64 1 (+.f64 y (log1p.f64 x)))
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x))))
(-.f64 1 (/.f64 1/2 (pow.f64 y 2)))
(-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1))))
(-.f64 (+.f64 1 x) (log.f64 (/.f64 -1 y)))
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 y -1))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
(-.f64 1 (log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y))))
(+.f64 (-.f64 1 (log1p.f64 x)) (log.f64 y))
(-.f64 1 (-.f64 (log.f64 (+.f64 x -1)) (log.f64 y)))
(-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y)))
(-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 y))))
(-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 1 y) (/.f64 1/2 (pow.f64 y 2)))))
(log.f64 (.f64 (exp.f64 (-.f64 1 (log1p.f64 x))) (.f64 y 1)))
(exp.f64 (log1p.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))))
(-.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 y -1)))) 3))
(cbrt.f64 (pow.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3))
(-.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) 3)))
(-.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3))
(pow.f64 (pow.f64 (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) 3) 1/3)

Outputs

(-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 y))))

(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))

(log.f64 (*.f64 (exp.f64 (-.f64 1 (log1p.f64 x))) (*.f64 y 1)))

Calls

1 calls:

37.0ms

Results

Accuracy	Segments	Branch
99.6%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes38.0ms (0.2%)

Counts

20 → 3

Calls

Call 1

Inputs
(neg.f64 y)
(-.f64 1 y)
(-.f64 (+.f64 1 x) y)
(-.f64 1 (log1p.f64 -1))
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log.f64 (/.f64 -1 y)))
(-.f64 1 (+.f64 y (log1p.f64 x)))
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x))))
(-.f64 1 (/.f64 1/2 (pow.f64 y 2)))
(-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1))))
(-.f64 (+.f64 1 x) (log.f64 (/.f64 -1 y)))
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 y -1))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
(-.f64 1 (log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y))))
(+.f64 (-.f64 1 (log1p.f64 x)) (log.f64 y))
(-.f64 1 (-.f64 (log.f64 (+.f64 x -1)) (log.f64 y)))
(-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y)))
(-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 y))))
(-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 1 y) (/.f64 1/2 (pow.f64 y 2)))))

Outputs
(-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 y))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(+.f64 (-.f64 1 (log1p.f64 x)) (log.f64 y))

Calls

1 calls:

37.0ms

Results

Accuracy	Segments	Branch
99.6%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes38.0ms (0.2%)

Counts

18 → 3

Calls

Call 1

Inputs
(neg.f64 y)
(-.f64 1 y)
(-.f64 (+.f64 1 x) y)
(-.f64 1 (log1p.f64 -1))
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log.f64 (/.f64 -1 y)))
(-.f64 1 (+.f64 y (log1p.f64 x)))
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x))))
(-.f64 1 (/.f64 1/2 (pow.f64 y 2)))
(-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1))))
(-.f64 (+.f64 1 x) (log.f64 (/.f64 -1 y)))
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 y -1))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
(-.f64 1 (log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y))))
(+.f64 (-.f64 1 (log1p.f64 x)) (log.f64 y))
(-.f64 1 (-.f64 (log.f64 (+.f64 x -1)) (log.f64 y)))
(-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y)))

Outputs
(-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y)))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(+.f64 (-.f64 1 (log1p.f64 x)) (log.f64 y))

Calls

1 calls:

37.0ms

Results

Accuracy	Segments	Branch
99.4%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes67.0ms (0.4%)

Counts

17 → 3

Calls

Call 1

Inputs
(neg.f64 y)
(-.f64 1 y)
(-.f64 (+.f64 1 x) y)
(-.f64 1 (log1p.f64 -1))
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log.f64 (/.f64 -1 y)))
(-.f64 1 (+.f64 y (log1p.f64 x)))
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x))))
(-.f64 1 (/.f64 1/2 (pow.f64 y 2)))
(-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1))))
(-.f64 (+.f64 1 x) (log.f64 (/.f64 -1 y)))
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 y -1))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
(-.f64 1 (log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y))))
(+.f64 (-.f64 1 (log1p.f64 x)) (log.f64 y))
(-.f64 1 (-.f64 (log.f64 (+.f64 x -1)) (log.f64 y)))

Outputs
(-.f64 1 (log.f64 (/.f64 -1 y)))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(+.f64 (-.f64 1 (log1p.f64 x)) (log.f64 y))

Calls

5 calls:

26.0ms	y
16.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))
11.0ms	(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
6.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
6.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))

Results

Accuracy	Segments	Branch
89.0%	2	`(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))`
89.0%	2	`(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))`
89.0%	2	`(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))`
89.0%	2	`(/.f64 (-.f64 x y) (-.f64 1 y))`
91.1%	3	`y`

Compiler

Compiled 49 to 36 computations (26.5% saved)

regimes53.0ms (0.3%)

Counts

15 → 2

Calls

Call 1

Inputs
(neg.f64 y)
(-.f64 1 y)
(-.f64 (+.f64 1 x) y)
(-.f64 1 (log1p.f64 -1))
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log.f64 (/.f64 -1 y)))
(-.f64 1 (+.f64 y (log1p.f64 x)))
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x))))
(-.f64 1 (/.f64 1/2 (pow.f64 y 2)))
(-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1))))
(-.f64 (+.f64 1 x) (log.f64 (/.f64 -1 y)))
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 y -1))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
(-.f64 1 (log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y))))

Outputs
(-.f64 1 (log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y))))
(-.f64 1 (log.f64 (/.f64 -1 y)))

Calls

5 calls:

15.0ms	y
15.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))
10.0ms	(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
5.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
5.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))

Results

Accuracy	Segments	Branch
89.0%	2	`(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))`
89.0%	2	`(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))`
89.0%	2	`(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))`
89.0%	2	`(/.f64 (-.f64 x y) (-.f64 1 y))`
85.7%	2	`y`

Compiler

Compiled 49 to 36 computations (26.5% saved)

regimes37.0ms (0.2%)

Counts

14 → 2

Calls

Call 1

Inputs
(neg.f64 y)
(-.f64 1 y)
(-.f64 (+.f64 1 x) y)
(-.f64 1 (log1p.f64 -1))
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log.f64 (/.f64 -1 y)))
(-.f64 1 (+.f64 y (log1p.f64 x)))
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x))))
(-.f64 1 (/.f64 1/2 (pow.f64 y 2)))
(-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1))))
(-.f64 (+.f64 1 x) (log.f64 (/.f64 -1 y)))
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 y -1))))
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))

Outputs
(-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))))
(-.f64 1 (log.f64 (/.f64 -1 y)))

Calls

4 calls:

14.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))
11.0ms	(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
6.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
5.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))

Results

Accuracy	Segments	Branch
89.0%	2	`(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))`
89.0%	2	`(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))`
89.0%	2	`(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))`
89.0%	2	`(/.f64 (-.f64 x y) (-.f64 1 y))`

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes20.0ms (0.1%)

Counts

12 → 2

Calls

Call 1

Inputs
(neg.f64 y)
(-.f64 1 y)
(-.f64 (+.f64 1 x) y)
(-.f64 1 (log1p.f64 -1))
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log.f64 (/.f64 -1 y)))
(-.f64 1 (+.f64 y (log1p.f64 x)))
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x))))
(-.f64 1 (/.f64 1/2 (pow.f64 y 2)))
(-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1))))
(-.f64 (+.f64 1 x) (log.f64 (/.f64 -1 y)))
(-.f64 1 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 y -1))))

Outputs
(-.f64 1 (log.f64 (/.f64 -1 y)))
(-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1))))

Calls

1 calls:

19.0ms

Results

Accuracy	Segments	Branch
83.6%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts

9 → 2

Calls

Call 1

Inputs
(neg.f64 y)
(-.f64 1 y)
(-.f64 (+.f64 1 x) y)
(-.f64 1 (log1p.f64 -1))
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log.f64 (/.f64 -1 y)))
(-.f64 1 (+.f64 y (log1p.f64 x)))
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x))))
(-.f64 1 (/.f64 1/2 (pow.f64 y 2)))

Outputs
(-.f64 1 (log.f64 (/.f64 -1 y)))
(-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x))))

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
77.0%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

Inputs
(neg.f64 y)
(-.f64 1 y)
(-.f64 (+.f64 1 x) y)
(-.f64 1 (log1p.f64 -1))
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 1 (log.f64 (/.f64 -1 y)))
(-.f64 1 (+.f64 y (log1p.f64 x)))

Outputs
(-.f64 1 (log.f64 (/.f64 -1 y)))
(-.f64 1 (log1p.f64 (neg.f64 x)))

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
76.4%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
(neg.f64 y)
(-.f64 1 y)
(-.f64 (+.f64 1 x) y)
(-.f64 1 (log1p.f64 -1))
(-.f64 1 (log1p.f64 (neg.f64 x)))

Outputs
(-.f64 1 (log1p.f64 (neg.f64 x)))

Calls

2 calls:

4.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
57.4%	1	`x`
57.4%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
(neg.f64 y)
(-.f64 1 y)
(-.f64 (+.f64 1 x) y)
(-.f64 1 (log1p.f64 -1))

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

Calls

2 calls:

8.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
38.6%	1	`y`
38.6%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
(neg.f64 y)
(-.f64 1 y)

Outputs
(-.f64 1 y)

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
37.9%	1	`x`
37.9%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(neg.f64 y)

Outputs
(neg.f64 y)

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
4.2%	1	`x`
4.2%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch125.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
102.0ms	1.79768434282716e+32	9.158761206467683e+34
23.0ms	-51571.830108097856	-49.19781703386799

Results

74.0ms	786×	invalid
33.0ms	255×	valid
0.0ms	1×	valid

Compiler

Compiled 595 to 471 computations (20.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

Operation ival-sub, time spent: 23.0ms, 53.0% of total-time

Operation ival-div, time spent: 9.0ms, 21.0% of total-time

Operation ival-log, time spent: 9.0ms, 21.0% of total-time

Operation const, time spent: 2.0ms, 5.0% of total-time

Operation backward-pass, time spent: 0.0ms, 0.0% of total-time

bsearch132.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
108.0ms	1.79768434282716e+32	9.158761206467683e+34
23.0ms	-51571.830108097856	-49.19781703386799

Results

79.0ms	842×	invalid
33.0ms	255×	valid
0.0ms	1×	valid

Compiler

Compiled 515 to 415 computations (19.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

Operation ival-sub, time spent: 24.0ms, 52.0% of total-time

Operation ival-div, time spent: 10.0ms, 22.0% of total-time

Operation ival-log, time spent: 9.0ms, 20.0% of total-time

Operation const, time spent: 3.0ms, 7.0% of total-time

Operation backward-pass, time spent: 0.0ms, 0.0% of total-time

bsearch147.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
122.0ms	1.79768434282716e+32	9.158761206467683e+34
24.0ms	-5715535072.484096	-79833.38785267848

Results

93.0ms	937×	invalid
33.0ms	271×	valid
0.0ms	1×	valid

Compiler

Compiled 497 to 399 computations (19.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

Operation ival-sub, time spent: 27.0ms, 49.0% of total-time

Operation ival-log, time spent: 15.0ms, 27.0% of total-time

Operation ival-div, time spent: 10.0ms, 18.0% of total-time

Operation const, time spent: 3.0ms, 5.0% of total-time

Operation backward-pass, time spent: 1.0ms, 2.0% of total-time

bsearch154.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
126.0ms	1.79768434282716e+32	9.158761206467683e+34
28.0ms	-5715535072.484096	-79833.38785267848

Results

87.0ms	916×	invalid
43.0ms	271×	valid
0.0ms	1×	valid

Compiler

Compiled 473 to 375 computations (20.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

Operation ival-sub, time spent: 26.0ms, 49.0% of total-time

Operation ival-log, time spent: 14.0ms, 26.0% of total-time

Operation ival-div, time spent: 10.0ms, 19.0% of total-time

Operation const, time spent: 3.0ms, 6.0% of total-time

Operation backward-pass, time spent: 1.0ms, 2.0% of total-time

bsearch145.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
118.0ms	1.79768434282716e+32	9.158761206467683e+34
26.0ms	-5715535072.484096	-79833.38785267848

Results

83.0ms	787×	invalid
39.0ms	271×	valid
0.0ms	1×	valid

Compiler

Compiled 437 to 348 computations (20.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

Operation ival-sub, time spent: 36.0ms, 64.0% of total-time

Operation ival-div, time spent: 9.0ms, 16.0% of total-time

Operation ival-log, time spent: 9.0ms, 16.0% of total-time

Operation const, time spent: 2.0ms, 4.0% of total-time

Operation backward-pass, time spent: 0.0ms, 0.0% of total-time

bsearch223.0ms (1.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
196.0ms	1.79768434282716e+32	9.158761206467683e+34
27.0ms	-3.9921685343850573e+21	-429699683853063.94

Results

135.0ms	1041×	invalid
39.0ms	271×	valid
0.0ms	1×	valid

Compiler

Compiled 401 to 321 computations (20% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

Operation ival-sub, time spent: 31.0ms, 55.0% of total-time

Operation ival-div, time spent: 11.0ms, 20.0% of total-time

Operation ival-log, time spent: 10.0ms, 18.0% of total-time

Operation const, time spent: 3.0ms, 5.0% of total-time

Operation backward-pass, time spent: 1.0ms, 2.0% of total-time

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999874740694218	0.9999999998250383

Compiler

Compiled 19 to 15 computations (21.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999874740694218	0.9999999998250383

Compiler

Compiled 19 to 15 computations (21.1% saved)

bsearch23.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	-25.278996889267095	-0.009963390964968276

Results

17.0ms	127×	valid
2.0ms	22×	invalid
0.0ms	1×	valid

Compiler

Compiled 179 to 151 computations (15.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

Operation ival-sub, time spent: 3.0ms, 46.0% of total-time

Operation ival-log, time spent: 2.0ms, 31.0% of total-time

Operation ival-div, time spent: 1.0ms, 15.0% of total-time

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

Operation backward-pass, time spent: 0.0ms, 0.0% of total-time

bsearch21.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	-25.278996889267095	-0.009963390964968276

Results

17.0ms	127×	valid
1.0ms	8×	invalid
0.0ms	1×	valid

Compiler

Compiled 171 to 143 computations (16.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

Operation ival-sub, time spent: 3.0ms, 49.0% of total-time

Operation ival-log, time spent: 2.0ms, 32.0% of total-time

Operation ival-div, time spent: 1.0ms, 16.0% of total-time

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

Operation backward-pass, time spent: 0.0ms, 0.0% of total-time

bsearch55.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
54.0ms	-25.278996889267095	-0.009963390964968276

Results

15.0ms	127×	valid
3.0ms	26×	invalid
0.0ms	1×	valid

Compiler

Compiled 155 to 135 computations (12.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

Operation ival-sub, time spent: 3.0ms, 44.0% of total-time

Operation ival-log, time spent: 2.0ms, 30.0% of total-time

Operation ival-div, time spent: 1.0ms, 15.0% of total-time

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

Operation backward-pass, time spent: 0.0ms, 0.0% of total-time

simplify45.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

96×	`+-commutative`
72×	`sub-neg`
46×	`*-commutative`
40×	`neg-sub0`
40×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	1311
1	173	1311
2	237	1311
3	281	1311
4	308	1311
5	322	1311
6	330	1311
7	335	1311
8	337	1311

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 y -13600) (+.f64 1 (+.f64 (/.f64 -1/2 (pow.f64 y 2)) (-.f64 (/.f64 (+.f64 (/.f64 x (-.f64 1 x)) (/.f64 -1 (-.f64 1 x))) y) (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y)))))) (if (<=.f64 y 12499999999999999607920763489746944) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (log.f64 (.f64 (exp.f64 (-.f64 1 (log1p.f64 x))) (.f64 y 1)))))
(if (<=.f64 y -14600) (-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1/2 (pow.f64 y 2))) (log1p.f64 (neg.f64 x))))) (if (<=.f64 y 315000000000000008796931614572544) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (log.f64 (.f64 (exp.f64 (-.f64 1 (log1p.f64 x))) (.f64 y 1)))))
(if (<=.f64 y -520000) (-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 y)))) (if (<=.f64 y 1620000000000000004065594567557120) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (log.f64 (.f64 (exp.f64 (-.f64 1 (log1p.f64 x))) (.f64 y 1)))))
(if (<=.f64 y -640000) (-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 y)))) (if (<=.f64 y 90000000000000000866378311868088320) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (+.f64 (-.f64 1 (log1p.f64 x)) (log.f64 y))))
(if (<=.f64 y -345000000) (-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y))) (if (<=.f64 y 25999999999999999737877510269960192) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (+.f64 (-.f64 1 (log1p.f64 x)) (log.f64 y))))
(if (<=.f64 y -490000000000000) (-.f64 1 (log.f64 (/.f64 -1 y))) (if (<=.f64 y 81999999999999996690090445544357888) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (+.f64 (-.f64 1 (log1p.f64 x)) (log.f64 y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 9007109182748445/9007199254740992) (-.f64 1 (log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y)))) (-.f64 1 (log.f64 (/.f64 -1 y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 9007109182748445/9007199254740992) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (-.f64 1 (log.f64 (/.f64 -1 y))))
(if (<=.f64 y -25) (-.f64 1 (log.f64 (/.f64 -1 y))) (-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1)))))
(if (<=.f64 y -18) (-.f64 1 (log.f64 (/.f64 -1 y))) (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))))
(if (<=.f64 y -4165829655317709/281474976710656) (-.f64 1 (log.f64 (/.f64 -1 y))) (-.f64 1 (log1p.f64 (neg.f64 x))))
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 (+.f64 1 x) y)
(-.f64 1 y)
(neg.f64 y)

Outputs
(if (<=.f64 y -13600) (+.f64 1 (+.f64 (/.f64 -1/2 (pow.f64 y 2)) (-.f64 (/.f64 (+.f64 (/.f64 x (-.f64 1 x)) (/.f64 -1 (-.f64 1 x))) y) (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y)))))) (if (<=.f64 y 12499999999999999607920763489746944) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (log.f64 (.f64 (exp.f64 (-.f64 1 (log1p.f64 x))) (.f64 y 1)))))
(if (<=.f64 y -13600) (+.f64 1 (+.f64 (/.f64 -1/2 (pow.f64 y 2)) (-.f64 (/.f64 (+.f64 (/.f64 x (-.f64 1 x)) (/.f64 -1 (-.f64 1 x))) y) (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y)))))) (if (<=.f64 y 12499999999999999607920763489746944) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (log.f64 (*.f64 y (exp.f64 (-.f64 1 (log1p.f64 x)))))))
(if (<=.f64 y -14600) (-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1/2 (pow.f64 y 2))) (log1p.f64 (neg.f64 x))))) (if (<=.f64 y 315000000000000008796931614572544) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (log.f64 (.f64 (exp.f64 (-.f64 1 (log1p.f64 x))) (.f64 y 1)))))
(if (<=.f64 y -14600) (-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log1p.f64 (neg.f64 x)) (+.f64 (/.f64 1 y) (/.f64 1/2 (pow.f64 y 2)))))) (if (<=.f64 y 315000000000000008796931614572544) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (log.f64 (*.f64 y (exp.f64 (-.f64 1 (log1p.f64 x)))))))
(if (<=.f64 y -14600) (+.f64 1 (-.f64 (-.f64 (-.f64 (/.f64 -1 y) (/.f64 1/2 (pow.f64 y 2))) (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y)))) (if (<=.f64 y 315000000000000008796931614572544) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (log.f64 (*.f64 y (exp.f64 (-.f64 1 (log1p.f64 x)))))))
(if (<=.f64 y -520000) (-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 y)))) (if (<=.f64 y 1620000000000000004065594567557120) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (log.f64 (.f64 (exp.f64 (-.f64 1 (log1p.f64 x))) (.f64 y 1)))))
(if (<=.f64 y -520000) (-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 y)))) (if (<=.f64 y 1620000000000000004065594567557120) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (log.f64 (*.f64 y (exp.f64 (-.f64 1 (log1p.f64 x)))))))
(if (<=.f64 y -520000) (+.f64 1 (-.f64 (-.f64 (/.f64 -1 y) (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y)))) (if (<=.f64 y 1620000000000000004065594567557120) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (log.f64 (*.f64 y (exp.f64 (-.f64 1 (log1p.f64 x)))))))
(if (<=.f64 y -640000) (-.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 y)))) (if (<=.f64 y 90000000000000000866378311868088320) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (+.f64 (-.f64 1 (log1p.f64 x)) (log.f64 y))))
(if (<=.f64 y -640000) (+.f64 1 (-.f64 (-.f64 (/.f64 -1 y) (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y)))) (if (<=.f64 y 90000000000000000866378311868088320) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (+.f64 (-.f64 1 (log1p.f64 x)) (log.f64 y))))
(if (<=.f64 y -345000000) (-.f64 (-.f64 1 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 -1 y))) (if (<=.f64 y 25999999999999999737877510269960192) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (+.f64 (-.f64 1 (log1p.f64 x)) (log.f64 y))))
(if (<=.f64 y -490000000000000) (-.f64 1 (log.f64 (/.f64 -1 y))) (if (<=.f64 y 81999999999999996690090445544357888) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (+.f64 (-.f64 1 (log1p.f64 x)) (log.f64 y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 9007109182748445/9007199254740992) (-.f64 1 (log1p.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 x y)))) (-.f64 1 (log.f64 (/.f64 -1 y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 9007109182748445/9007199254740992) (-.f64 1 (log1p.f64 (*.f64 (-.f64 x y) (/.f64 1 (+.f64 y -1))))) (-.f64 1 (log.f64 (/.f64 -1 y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 9007109182748445/9007199254740992) (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) (-.f64 1 (log.f64 (/.f64 -1 y))))
(if (<=.f64 y -25) (-.f64 1 (log.f64 (/.f64 -1 y))) (-.f64 1 (log1p.f64 (/.f64 x (-.f64 y 1)))))
(if (<=.f64 y -25) (-.f64 1 (log.f64 (/.f64 -1 y))) (-.f64 1 (log1p.f64 (/.f64 x (+.f64 y -1)))))
(if (<=.f64 y -18) (-.f64 1 (log.f64 (/.f64 -1 y))) (-.f64 1 (+.f64 y (log1p.f64 (neg.f64 x)))))
(if (<=.f64 y -4165829655317709/281474976710656) (-.f64 1 (log.f64 (/.f64 -1 y))) (-.f64 1 (log1p.f64 (neg.f64 x))))
(-.f64 1 (log1p.f64 (neg.f64 x)))
(-.f64 (+.f64 1 x) y)
(-.f64 1 y)
(neg.f64 y)

Compiler

Compiled 396 to 302 computations (23.7% saved)

soundness3.6s (21%)

Rules

6246×	`fma-neg`
1134×	`*-commutative`
1134×	`*-commutative`
1114×	`log1p-expm1-u`
1114×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	340
1	85	302
2	213	274
3	524	266
4	1141	266
5	2679	266
6	3229	266
7	3502	266
8	3835	266
9	4356	266
10	4661	266
11	5968	266
12	6677	266
13	7377	266
14	7547	266
15	7607	266
16	7623	266
17	7623	266
18	7631	266
0	562	12942
1	1701	11506
2	5967	10950
0	562	12942
1	1701	11506
2	5967	10950
0	37	412
1	656	380
0	562	12942
1	1701	11506
2	5967	10950
0	2022	110969
1	6932	110285
0	562	12942
1	1701	11506
2	5967	10950
0	15	98
1	193	98
2	2859	98
0	37	412
1	656	380
0	2022	110969
1	6932	110285
0	562	12942
1	1701	11506
2	5967	10950
0	562	12942
1	1701	11506
2	5967	10950

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 1038 to 774 computations (25.4% saved)

end1.0ms (0%)

preprocess332.0ms (1.9%)

Compiler: Compiled 874 to 584 computations (33.2% saved)

analyze224.0ms (1.3%)

sample2.6s (15%)

preprocess738.0ms (4.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize132.0ms (0.8%)

series29.0ms (0.2%)

rewrite233.0ms (1.4%)

simplify168.0ms (1%)

eval250.0ms (1.4%)

prune150.0ms (0.9%)

localize362.0ms (2.1%)

eval0.0ms (0%)

prune19.0ms (0.1%)

localize296.0ms (1.7%)

eval0.0ms (0%)

prune12.0ms (0.1%)

localize1.1s (6.4%)

series281.0ms (1.6%)

rewrite136.0ms (0.8%)

simplify826.0ms (4.8%)

eval3.5s (20.3%)

prune360.0ms (2.1%)

regimes414.0ms (2.4%)

regimes40.0ms (0.2%)

regimes38.0ms (0.2%)

regimes38.0ms (0.2%)

regimes38.0ms (0.2%)

regimes67.0ms (0.4%)

regimes53.0ms (0.3%)

regimes37.0ms (0.2%)

regimes20.0ms (0.1%)

regimes13.0ms (0.1%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes12.0ms (0.1%)

regimes6.0ms (0%)

regimes6.0ms (0%)

bsearch125.0ms (0.7%)

bsearch132.0ms (0.8%)

bsearch147.0ms (0.9%)

bsearch154.0ms (0.9%)

bsearch145.0ms (0.8%)

bsearch223.0ms (1.3%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch23.0ms (0.1%)

bsearch21.0ms (0.1%)

bsearch55.0ms (0.3%)

simplify45.0ms (0.3%)

soundness3.6s (21%)

end1.0ms (0%)

preprocess332.0ms (1.9%)

Profiling