Metrics for Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, A

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 10 to 6 computations (40% saved)

sample716.0ms (30.4%)

Results

614.0ms	7195×	body	256	valid
90.0ms	1061×	body	256	infinite

Bogosity

preprocess120.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

2210×	`fma-def`
236×	`cancel-sign-sub-inv`
140×	`fma-neg`
132×	`distribute-rgt-in`
130×	`distribute-lft-neg-in`

Problems

256×

No Errors

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	241
1	68	217
2	180	191
3	550	174
4	1338	168
5	2183	168
6	2428	168
7	2435	168

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 x y) (*.f64 x y))
(-.f64 (+.f64 x y) (*.f64 x y))
(-.f64 (+.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) y))
(-.f64 (+.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))
(neg.f64 (-.f64 (+.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) y)))
(neg.f64 (-.f64 (+.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))))
(-.f64 (+.f64 y x) (*.f64 y x))

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

Symmetry

(sort x y)

Compiler

Compiled 27 to 11 computations (59.3% saved)

eval1.0ms (0%)

Compiler: Compiled 22 to 12 computations (45.5% saved)

prune2.0ms (0.1%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 34 to 22 computations (35.3% saved)

localize52.0ms (2.2%)

Localize:

Found 3 expressions with local error:

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

Compiler

Compiled 33 to 19 computations (42.4% saved)

series5.0ms (0.2%)

Counts

3 → 51

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(+.f64 y (*.f64 x (-.f64 1 y)))
1.0ms	y	@	inf	(+.f64 y (*.f64 x (-.f64 1 y)))
0.0ms	y	@	-inf	(+.f64 y (*.f64 x (-.f64 1 y)))
0.0ms	x	@	inf	(+.f64 y (*.f64 x (-.f64 1 y)))
0.0ms	y	@	0	(+.f64 y (*.f64 x (-.f64 1 y)))

rewrite248.0ms (10.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1846×	`prod-diff`
683×	`log1p-expm1-u`
683×	`expm1-log1p-u`
620×	`log-prod`
592×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	67
1	154	67
2	1815	67

Stop Event

1×	node limit

Counts

3 → 146

Calls

Call 1

Inputs
(+.f64 y (*.f64 x (-.f64 1 y)))
(*.f64 x (-.f64 1 y))
(fma.f64 x (-.f64 1 y) y)

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

simplify93.0ms (4%)

Algorithm

1×	egg-herbie

Rules

1922×	`fma-def`
1128×	`distribute-lft-in`
1048×	`distribute-rgt-in`
686×	`unswap-sqr`
530×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	246	7284
1	557	6275
2	1659	6198

Stop Event

1×	node limit

Counts

197 → 127

Calls

Call 1

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

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

eval33.0ms (1.4%)

Compiler: Compiled 1605 to 1033 computations (35.6% saved)

prune19.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	123	4	127
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	124	5	129

Accuracy

100.0%

Counts

129 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 y (*.f64 x (-.f64 1 y)))
▶	61.0%	(*.f64 y (-.f64 1 x))
▶	62.5%	(*.f64 x (-.f64 1 y))
	39.0%	y
	40.0%	x
✓	100.0%	(+.f64 y (*.f64 x (-.f64 1 y)))
▶	61.0%	(*.f64 y (-.f64 1 x))
▶	62.5%	(*.f64 x (-.f64 1 y))
	39.0%	y
	40.0%	x

Compiler

Compiled 58 to 40 computations (31% saved)

localize38.0ms (1.6%)

Localize:

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 15 computations (40% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 y (-.f64 1 x))
0.0ms	y	@	0	(*.f64 y (-.f64 1 x))
0.0ms	y	@	inf	(*.f64 y (-.f64 1 x))
0.0ms	y	@	-inf	(*.f64 y (-.f64 1 x))
0.0ms	x	@	inf	(*.f64 y (-.f64 1 x))

rewrite72.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

634×	`unpow-prod-down`
458×	`log-prod`
453×	`log1p-expm1-u`
453×	`expm1-log1p-u`
452×	`cbrt-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	103	19
2	1209	19

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

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

simplify88.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1630×	`log-prod`
752×	`associate-r`
646×	`associate-l`
620×	`fma-neg`
542×	`prod-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	102	1322
1	234	1130
2	591	1130
3	3407	1130
4	7061	1130

Stop Event

1×	node limit

Counts

49 → 53

Calls

Call 1

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

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

eval130.0ms (5.5%)

Compiler: Compiled 962 to 604 computations (37.2% saved)

prune17.0ms (0.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	2	2
Picked	0	2	2
Done	0	1	1
Total	98	6	104

Accuracy

100.0%

Counts

104 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 y (*.f64 x (-.f64 1 y)))
✓	61.0%	(*.f64 y (-.f64 1 x))
✓	62.5%	(*.f64 x (-.f64 1 y))
▶	24.6%	(*.f64 x (neg.f64 y))
	39.0%	y
	40.0%	x
✓	100.0%	(+.f64 y (*.f64 x (-.f64 1 y)))
✓	61.0%	(*.f64 y (-.f64 1 x))
✓	62.5%	(*.f64 x (-.f64 1 y))
▶	24.6%	(*.f64 x (neg.f64 y))
	39.0%	y
	40.0%	x

Compiler

Compiled 70 to 48 computations (31.4% saved)

localize23.0ms (1%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

eval0.0ms (0%)

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

prune4.0ms (0.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	3	3
Total	6	6

Accuracy

100.0%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 y (*.f64 x (-.f64 1 y)))
✓	61.0%	(*.f64 y (-.f64 1 x))
✓	62.5%	(*.f64 x (-.f64 1 y))
✓	24.6%	(*.f64 x (neg.f64 y))
	39.0%	y
	40.0%	x
✓	100.0%	(+.f64 y (*.f64 x (-.f64 1 y)))
✓	61.0%	(*.f64 y (-.f64 1 x))
✓	62.5%	(*.f64 x (-.f64 1 y))
✓	24.6%	(*.f64 x (neg.f64 y))
	39.0%	y
	40.0%	x

Compiler

Compiled 70 to 48 computations (31.4% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	4	4
Total	6	6

Accuracy

100.0%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 y (*.f64 x (-.f64 1 y)))
✓	61.0%	(*.f64 y (-.f64 1 x))
✓	62.5%	(*.f64 x (-.f64 1 y))
✓	24.6%	(*.f64 x (neg.f64 y))
	39.0%	y
	40.0%	x

Compiler

Compiled 73 to 44 computations (39.7% saved)

regimes70.0ms (3%)

Counts

8 → 1

Calls

Call 1

Inputs
x
y
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 1 y))
(*.f64 y (-.f64 1 x))
(+.f64 y (*.f64 x (-.f64 1 y)))
(-.f64 (+.f64 x y) (*.f64 x y))
(fma.f64 x (-.f64 1 y) y)

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

Calls

3 calls:

57.0ms	(-.f64 (+.f64 x y) (*.f64 x y))
6.0ms	y
5.0ms	x

Results

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

Compiler

Compiled 53 to 29 computations (45.3% saved)

regimes28.0ms (1.2%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	y
13.0ms	x

Results

Accuracy	Segments	Branch
92.7%	2	`x`
89.0%	2	`y`

Compiler

Compiled 24 to 14 computations (41.7% saved)

regimes17.0ms (0.7%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
92.1%	3	`x`

Compiler

Compiled 16 to 9 computations (43.8% saved)

regimes38.0ms (1.6%)

Counts

3 → 4

Calls

Call 1

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

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

Calls

2 calls:

23.0ms	y
14.0ms	x

Results

Accuracy	Segments	Branch
74.9%	7	`y`
79.4%	4	`x`

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes11.0ms (0.5%)

Counts

2 → 2

Calls

Call 1

Inputs
x
y

Outputs
x
y

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
69.4%	2	`x`

Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes6.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
40.0%	1	`y`
40.0%	1	`x`

Compiler

Compiled 9 to 6 computations (33.3% saved)

bsearch14.0ms (0.6%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-3.765117688653655e-129	-3.5131357912571075e-132

Results

12.0ms

128×

body

256

valid

Compiler

Compiled 142 to 105 computations (26.1% saved)

bsearch31.0ms (1.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.9390303939368052e-13	1.3497389076126927
14.0ms	-3.765117688653655e-129	-3.5131357912571075e-132

Results

27.0ms

288×

body

256

valid

Compiler

Compiled 230 to 171 computations (25.7% saved)

bsearch46.0ms (1.9%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.9390303939368052e-13	1.3497389076126927
14.0ms	-1.6210445117260043e-30	-2.1768167190388343e-37
15.0ms	-1.0800004222394507e+298	-2.415128962205932e+293

Results

35.0ms	383×	body	256	valid
6.0ms	49×	body	256	infinite

Compiler

Compiled 284 to 207 computations (27.1% saved)

bsearch15.0ms (0.6%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-1.6210445117260043e-30	-2.1768167190388343e-37

Results

13.0ms

144×

body

256

valid

Compiler

Compiled 86 to 63 computations (26.7% saved)

simplify9.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative`
12×	`+-commutative`
10×	`sub-neg`
6×	`neg-mul-1`
6×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	234
1	61	234
2	72	234
3	78	234
4	80	234

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 y (*.f64 x (-.f64 1 y)))
(if (<=.f64 x -5306972535537187/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088) (.f64 x (-.f64 1 y)) (.f64 y (-.f64 1 x)))
(if (<=.f64 x -1997919072202235/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (.f64 x (-.f64 1 y)) (if (<=.f64 x 6189700196426901/309485009821345068724781056) y (.f64 x (-.f64 1 y))))
(if (<=.f64 x -5500000000000000242306903013693590655435124128910482847935316333458836673446124473201897026679826578953864613075975374041973759350951960339340568093048585037202673945646334864840227521888213434617578935470535122502971286515839612150793442995357030965276581452614747541483226636655082852017359552512) (.f64 x (neg.f64 y)) (if (<=.f64 x -2740315569995443/365375409332725729550921208179070754913983135744) x (if (<=.f64 x 1) y (.f64 x (neg.f64 y)))))
(if (<=.f64 x -1205738850797995/365375409332725729550921208179070754913983135744) x y)
x

Outputs
(+.f64 y (*.f64 x (-.f64 1 y)))
(if (<=.f64 x -5306972535537187/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088) (.f64 x (-.f64 1 y)) (.f64 y (-.f64 1 x)))
(if (<=.f64 x -1997919072202235/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (.f64 x (-.f64 1 y)) (if (<=.f64 x 6189700196426901/309485009821345068724781056) y (.f64 x (-.f64 1 y))))
(if (or (<=.f64 x -1997919072202235/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (not (<=.f64 x 6189700196426901/309485009821345068724781056))) (*.f64 x (-.f64 1 y)) y)
(if (<=.f64 x -5500000000000000242306903013693590655435124128910482847935316333458836673446124473201897026679826578953864613075975374041973759350951960339340568093048585037202673945646334864840227521888213434617578935470535122502971286515839612150793442995357030965276581452614747541483226636655082852017359552512) (.f64 x (neg.f64 y)) (if (<=.f64 x -2740315569995443/365375409332725729550921208179070754913983135744) x (if (<=.f64 x 1) y (.f64 x (neg.f64 y)))))
(if (<=.f64 x -5500000000000000242306903013693590655435124128910482847935316333458836673446124473201897026679826578953864613075975374041973759350951960339340568093048585037202673945646334864840227521888213434617578935470535122502971286515839612150793442995357030965276581452614747541483226636655082852017359552512) (.f64 y (neg.f64 x)) (if (<=.f64 x -2740315569995443/365375409332725729550921208179070754913983135744) x (if (<=.f64 x 1) y (.f64 y (neg.f64 x)))))
(if (<=.f64 x -1205738850797995/365375409332725729550921208179070754913983135744) x y)
x

Compiler

Compiled 77 to 49 computations (36.4% saved)

soundness344.0ms (14.6%)

Rules

2210×	`fma-def`
1922×	`fma-def`
1630×	`log-prod`
1128×	`distribute-lft-in`
1048×	`distribute-rgt-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	241
1	68	217
2	180	191
3	550	174
4	1338	168
5	2183	168
6	2428	168
7	2435	168
0	246	7284
1	557	6275
2	1659	6198
0	102	1322
1	234	1130
2	591	1130
3	3407	1130
4	7061	1130

Stop Event

1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 180 to 86 computations (52.2% saved)

end0.0ms (0%)

preprocess57.0ms (2.4%)

Remove: (sort x y)
Compiler: Compiled 206 to 124 computations (39.8% saved)

analyze0.0ms (0%)

sample716.0ms (30.4%)

preprocess120.0ms (5.1%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize52.0ms (2.2%)

series5.0ms (0.2%)

rewrite248.0ms (10.5%)

simplify93.0ms (4%)

eval33.0ms (1.4%)

prune19.0ms (0.8%)

localize38.0ms (1.6%)

series2.0ms (0.1%)

rewrite72.0ms (3.1%)

simplify88.0ms (3.7%)

eval130.0ms (5.5%)

prune17.0ms (0.7%)

localize23.0ms (1%)

eval0.0ms (0%)

prune4.0ms (0.2%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes70.0ms (3%)

regimes28.0ms (1.2%)

regimes17.0ms (0.7%)

regimes38.0ms (1.6%)

regimes11.0ms (0.5%)

regimes6.0ms (0.2%)

bsearch14.0ms (0.6%)

bsearch31.0ms (1.3%)

bsearch46.0ms (1.9%)

bsearch15.0ms (0.6%)

simplify9.0ms (0.4%)

soundness344.0ms (14.6%)

end0.0ms (0%)

preprocess57.0ms (2.4%)

Profiling