Metrics for Data.Colour.CIE.Chromaticity:chromaCoords from colour-2.3.3

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 8 to 6 computations (25% saved)

sample788.0ms (37.5%)

Results

776.0ms	8251×	body	256	valid
0.0ms	3×	body	512	valid
0.0ms	2×	body	1024	valid

Bogosity

preprocess86.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

566×	`fma-def`
100×	`sub-neg`
88×	`fma-neg`
86×	`cancel-sign-sub`
80×	`associate--r+`

Problems

256×

No Errors

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	157
1	48	135
2	144	133
3	365	133
4	675	133
5	847	133
6	942	133
7	973	133
8	974	133

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(sort x y)

Compiler

Compiled 21 to 14 computations (33.3% saved)

eval0.0ms (0%)

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

prune11.0ms (0.5%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize22.0ms (1%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series1.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite111.0ms (5.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1356×	`prod-diff`
798×	`unpow-prod-down`
628×	`log1p-expm1-u`
628×	`expm1-log1p-u`
572×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	113	19
2	1591	19

Stop Event

1×	node limit

Counts

1 → 119

Calls

Call 1

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

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

simplify134.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

660×	`associate-+l+`
660×	`exp-prod`
590×	`associate-+r+`
508×	`cube-prod`
422×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	284	4191
1	710	4027
2	2265	3961
3	6891	3961

Stop Event

1×	node limit

Counts

143 → 152

Calls

Call 1

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

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

eval92.0ms (4.4%)

Compiler: Compiled 2196 to 1367 computations (37.8% saved)

prune30.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	147	5	152
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	147	6	153

Accuracy

100.0%

Counts

153 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (-.f64 1 x) y)
▶	55.0%	(-.f64 1 y)
▶	67.6%	(-.f64 1 x)
▶	33.4%	(neg.f64 y)
▶	46.9%	(neg.f64 x)
▶	63.8%	(exp.f64 (log1p.f64 (-.f64 (neg.f64 x) y)))
✓	100.0%	(-.f64 (-.f64 1 x) y)
▶	55.0%	(-.f64 1 y)
▶	67.6%	(-.f64 1 x)
▶	33.4%	(neg.f64 y)
▶	46.9%	(neg.f64 x)
▶	63.8%	(exp.f64 (log1p.f64 (-.f64 (neg.f64 x) y)))

Compiler

Compiled 118 to 90 computations (23.7% saved)

localize48.0ms (2.3%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	95.9%	(exp.f64 (log1p.f64 (-.f64 (neg.f64 x) y)))

Compiler

Compiled 38 to 14 computations (63.2% saved)

series25.0ms (1.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	x	@	0	(exp.f64 (log1p.f64 (-.f64 (neg.f64 x) y)))
9.0ms	y	@	0	(exp.f64 (log1p.f64 (-.f64 (neg.f64 x) y)))
1.0ms	y	@	inf	(exp.f64 (log1p.f64 (-.f64 (neg.f64 x) y)))
1.0ms	x	@	inf	(exp.f64 (log1p.f64 (-.f64 (neg.f64 x) y)))
1.0ms	x	@	-inf	(exp.f64 (log1p.f64 (-.f64 (neg.f64 x) y)))

rewrite59.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1124×	`prod-diff`
828×	`unpow-prod-down`
549×	`log1p-expm1-u`
549×	`expm1-log1p-u`
536×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	136	19
2	1755	19

Stop Event

1×	node limit

Counts

1 → 62

Calls

Call 1

Inputs
(exp.f64 (log1p.f64 (-.f64 (neg.f64 x) y)))

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

simplify58.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

980×	`associate-+l+`
852×	`associate-+r+`
590×	`associate-/l*`
576×	`times-frac`
512×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	274	3488
1	768	3194
2	2574	2958

Stop Event

1×	node limit

Counts

86 → 124

Calls

Call 1

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

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

eval91.0ms (4.3%)

Compiler: Compiled 2002 to 1280 computations (36.1% saved)

prune20.0ms (1%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	124	6	130

Accuracy

100.0%

Counts

130 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (-.f64 1 x) y)
✓	55.0%	(-.f64 1 y)
✓	67.6%	(-.f64 1 x)
✓	33.4%	(neg.f64 y)
✓	46.9%	(neg.f64 x)
✓	63.8%	(exp.f64 (log1p.f64 (-.f64 (neg.f64 x) y)))

Compiler

Compiled 56 to 39 computations (30.4% saved)

regimes18.0ms (0.9%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	y
5.0ms	x
4.0ms	(-.f64 (-.f64 1 x) y)
3.0ms	(-.f64 1 x)

Results

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

Compiler

Compiled 41 to 27 computations (34.1% saved)

regimes30.0ms (1.4%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	y
10.0ms	(-.f64 1 x)
8.0ms	x

Results

Accuracy	Segments	Branch
93.4%	2	`x`
93.8%	2	`y`
93.4%	2	`(-.f64 1 x)`

Compiler

Compiled 23 to 16 computations (30.4% saved)

regimes21.0ms (1%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	y
6.0ms	x
5.0ms	(-.f64 1 x)

Results

Accuracy	Segments	Branch
79.6%	2	`x`
73.4%	2	`(-.f64 1 x)`
93.4%	2	`y`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes16.0ms (0.7%)

Counts

2 → 2

Calls

Call 1

Inputs
(neg.f64 x)
(neg.f64 y)

Outputs
(neg.f64 x)
(neg.f64 y)

Calls

2 calls:

9.0ms	y
6.0ms	x

Results

Accuracy	Segments	Branch
70.9%	2	`x`
72.3%	2	`y`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes18.0ms (0.9%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(neg.f64 x)

Outputs
(neg.f64 x)

Calls

2 calls:

15.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
46.9%	1	`x`
46.9%	1	`y`

Compiler

Compiled 10 to 7 computations (30% saved)

bsearch6.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	1.1754422014040395e-29	1.93969323884096e-29

Results

5.0ms

64×

body

256

valid

Compiler

Compiled 60 to 49 computations (18.3% saved)

bsearch3.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	2.333223139908016e+27	2.632419079038559e+27

Results

2.0ms

32×

body

256

valid

Compiler

Compiled 34 to 27 computations (20.6% saved)

bsearch3.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	2.333223139908016e+27	2.632419079038559e+27

Results

2.0ms

32×

body

256

valid

Compiler

Compiled 32 to 25 computations (21.9% saved)

simplify34.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

10×	`sub-neg`
10×	`+-commutative`
4×	`neg-mul-1`
4×	`*-commutative`
4×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	117
1	36	117
2	43	117
3	45	117

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(-.f64 (-.f64 1 x) y)
(if (<=.f64 y 6779426540353309/356811923176489970264571492362373784095686656) (-.f64 1 x) (-.f64 1 y))
(if (<=.f64 y 2349999999999999880042905600) (-.f64 1 x) (neg.f64 y))
(if (<=.f64 y 2499999999999999895779934208) (neg.f64 x) (neg.f64 y))
(neg.f64 x)

Outputs
(-.f64 (-.f64 1 x) y)
(if (<=.f64 y 6779426540353309/356811923176489970264571492362373784095686656) (-.f64 1 x) (-.f64 1 y))
(if (<=.f64 y 2349999999999999880042905600) (-.f64 1 x) (neg.f64 y))
(if (<=.f64 y 2499999999999999895779934208) (neg.f64 x) (neg.f64 y))
(neg.f64 x)

Compiler

Compiled 44 to 32 computations (27.3% saved)

soundness297.0ms (14.1%)

Rules

660×	`associate-+l+`
660×	`exp-prod`
660×	`associate-+l+`
660×	`exp-prod`
590×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	284	4191
1	710	4027
2	2265	3961
3	6891	3961
0	284	4191
1	710	4027
2	2265	3961
3	6891	3961

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 14 to 10 computations (28.6% saved)

end0.0ms (0%)

preprocess78.0ms (3.7%)

Remove: (sort x y)
Compiler: Compiled 128 to 84 computations (34.4% saved)

Iter	Nodes	Cost
0	20	157
1	48	135
2	144	133
3	365	133
4	675	133
5	847	133
6	942	133
7	973	133
8	974	133

Iter	Nodes	Cost
0	20	157
1	48	135
2	144	133
3	365	133
4	675	133
5	847	133
6	942	133
7	973	133
8	974	133

analyze0.0ms (0%)

sample788.0ms (37.5%)

preprocess86.0ms (4.1%)

eval0.0ms (0%)

prune11.0ms (0.5%)

localize22.0ms (1%)

series1.0ms (0.1%)

rewrite111.0ms (5.3%)

simplify134.0ms (6.4%)

eval92.0ms (4.4%)

prune30.0ms (1.4%)

localize48.0ms (2.3%)

series25.0ms (1.2%)

rewrite59.0ms (2.8%)

simplify58.0ms (2.8%)

eval91.0ms (4.3%)

prune20.0ms (1%)

regimes18.0ms (0.9%)

regimes30.0ms (1.4%)

regimes21.0ms (1%)

regimes16.0ms (0.7%)

regimes18.0ms (0.9%)

bsearch6.0ms (0.3%)

bsearch3.0ms (0.1%)

bsearch3.0ms (0.1%)

simplify34.0ms (1.6%)

soundness297.0ms (14.1%)

end0.0ms (0%)

preprocess78.0ms (3.7%)

Profiling

Iter	Nodes	Cost
0	20	157
1	48	135
2	144	133
3	365	133
4	675	133
5	847	133
6	942	133
7	973	133
8	974	133