Metrics for Linear.Projection:perspective from linear-1.19.1.3, A

analyze10.0ms (0.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 10 to 6 computations (40% saved)

sample1.6s (55.4%)

Results

1.6s

8256×

body

256

valid

Bogosity

preprocess132.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

2028×	`fma-def`
786×	`div-sub`
602×	`times-frac`
512×	`fma-neg`
416×	`associate-/r*`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	103
1	33	103
2	71	103
3	179	103
4	464	95
5	1504	95
6	2929	95
7	3972	95
8	4365	95
9	4463	95
10	4470	95
11	4482	95

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

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

Compiler

Compiled 9 to 5 computations (44.4% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 18 to 10 computations (44.4% saved)

localize23.0ms (0.8%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 6 computations (66.7% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite60.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1970×	`pow1`
1832×	`add-exp-log`
1832×	`log1p-expm1-u`
1832×	`expm1-log1p-u`
174×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	160	19
2	2410	19

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

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

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

simplify118.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

1812×	`fma-def`
1706×	`times-frac`
838×	`associate-/r*`
630×	`associate-*r/`
500×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	171	2156
1	513	1832
2	1844	1424

Stop Event

1×	node limit

Counts

58 → 74

Calls

Call 1

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

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

eval58.0ms (2%)

Compiler: Compiled 1135 to 484 computations (57.4% saved)

prune12.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	71	3	74
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	71	4	75

Accuracy

100.0%

Counts

75 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (-.f64 x y))
▶	50.2%	(+.f64 1 (*.f64 2 (/.f64 y x)))
	48.9%	1
	50.3%	-1
✓	100.0%	(/.f64 (+.f64 x y) (-.f64 x y))
▶	50.2%	(+.f64 1 (*.f64 2 (/.f64 y x)))
	48.9%	1
	50.3%	-1

Compiler

Compiled 48 to 36 computations (25% saved)

localize29.0ms (1%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 2 (/.f64 y x))

Compiler

Compiled 22 to 12 computations (45.5% saved)

series3.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 2 (/.f64 y x))
1.0ms	y	@	inf	(*.f64 2 (/.f64 y x))
1.0ms	y	@	0	(*.f64 2 (/.f64 y x))
0.0ms	x	@	inf	(*.f64 2 (/.f64 y x))
0.0ms	y	@	-inf	(*.f64 2 (/.f64 y x))

rewrite56.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1498×	`pow1`
1382×	`add-exp-log`
1382×	`log1p-expm1-u`
1382×	`expm1-log1p-u`
1352×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	147	13
2	1847	13

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(*.f64 2 (/.f64 y x))

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

simplify48.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1402×	`log-prod`
1274×	`fma-def`
908×	`associate-r`
818×	`associate-l`
644×	`log-div`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	57	500
1	144	380
2	513	260
3	3961	260

Stop Event

1×	node limit

Counts

20 → 23

Calls

Call 1

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

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

eval5.0ms (0.2%)

Compiler: Compiled 219 to 154 computations (29.7% saved)

prune21.0ms (0.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	23	4	27

Accuracy

100.0%

Counts

27 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (-.f64 x y))
✓	50.2%	(+.f64 1 (*.f64 2 (/.f64 y x)))
	48.9%	1
	50.3%	-1
✓	100.0%	(/.f64 (+.f64 x y) (-.f64 x y))
✓	50.2%	(+.f64 1 (*.f64 2 (/.f64 y x)))
	48.9%	1
	50.3%	-1

Compiler

Compiled 48 to 36 computations (25% saved)

localize0.0ms (0%)

eval1.0ms (0%)

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

prune12.0ms (0.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

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

Accuracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (-.f64 x y))
✓	50.2%	(+.f64 1 (*.f64 2 (/.f64 y x)))
	48.9%	1
	50.3%	-1
✓	100.0%	(/.f64 (+.f64 x y) (-.f64 x y))
✓	50.2%	(+.f64 1 (*.f64 2 (/.f64 y x)))
	48.9%	1
	50.3%	-1

Compiler

Compiled 48 to 36 computations (25% saved)

localize0.0ms (0%)

eval1.0ms (0%)

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

prune18.0ms (0.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

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

Accuracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (-.f64 x y))
✓	50.2%	(+.f64 1 (*.f64 2 (/.f64 y x)))
	48.9%	1
	50.3%	-1

Compiler

Compiled 42 to 30 computations (28.6% saved)

regimes37.0ms (1.3%)

Counts

4 → 1

Calls

Call 1

Inputs
-1
1
(+.f64 1 (*.f64 2 (/.f64 y x)))
(/.f64 (+.f64 x y) (-.f64 x y))

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

Calls

3 calls:

18.0ms	y
10.0ms	(/.f64 (+.f64 x y) (-.f64 x 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 33 to 21 computations (36.4% saved)

regimes44.0ms (1.5%)

Counts

3 → 5

Calls

Call 1

Inputs
-1
1
(+.f64 1 (*.f64 2 (/.f64 y x)))

Outputs
(+.f64 1 (*.f64 2 (/.f64 y x)))
-1
1
-1
(+.f64 1 (*.f64 2 (/.f64 y x)))

Calls

2 calls:

22.0ms	y
21.0ms	x

Results

Accuracy	Segments	Branch
77.9%	5	`x`
76.9%	5	`y`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes19.0ms (0.6%)

Counts

2 → 5

Calls

Call 1

Inputs
-1
1

Outputs
1
-1
1
-1
1

Calls

1 calls:

18.0ms

Results

Accuracy	Segments	Branch
77.4%	5	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes6.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
-1

Outputs
-1

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
50.3%	1	`y`
50.3%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch83.0ms (2.9%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
36.0ms	8.580791269303901e-60	6.387879314444683e-57
16.0ms	2.9468496818453736e-90	3.761492233734965e-87
15.0ms	4.534865681173897e-111	6.012754607603288e-104
17.0ms	-6.080789647817456	-4.379567377369555e-17

Results

74.0ms

560×

body

256

valid

Compiler

Compiled 402 to 361 computations (10.2% saved)

bsearch197.0ms (6.9%)

Algorithm

4×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough
1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
103.0ms	8.580791269303901e-60	6.387879314444683e-57
36.0ms	2.9468496818453736e-90	3.761492233734965e-87
40.0ms	4.534865681173897e-111	6.012754607603288e-104
19.0ms	-6.080789647817456	-4.379567377369555e-17

Results

183.0ms

464×

body

256

valid

Compiler

Compiled 246 to 241 computations (2% saved)

simplify31.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

8×	`not-or`
8×	`+-commutative`
6×	`not-not`
6×	`if-if-or-not`
6×	`if-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	138
1	53	138
2	59	138
3	67	138
4	72	138
5	76	138
6	77	138
7	78	138

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (-.f64 x y))
(if (<=.f64 x -4360718064785109/5070602400912917605986812821504) (+.f64 1 (.f64 2 (/.f64 y x))) (if (<=.f64 x 5164499756173817/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752) -1 (if (<=.f64 x 1612616214368019/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832) 1 (if (<=.f64 x 3268667069840011/883423532389192164791648750371459257913741948437809479060803100646309888) -1 (+.f64 1 (.f64 2 (/.f64 y x)))))))
(if (<=.f64 x -7737125245533627/77371252455336267181195264) 1 (if (<=.f64 x 5551837237886853/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376) -1 (if (<=.f64 x 8457276146463389/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832) 1 (if (<=.f64 x 5477225900812991/883423532389192164791648750371459257913741948437809479060803100646309888) -1 1))))
-1

Outputs
(/.f64 (+.f64 x y) (-.f64 x y))
(if (<=.f64 x -4360718064785109/5070602400912917605986812821504) (+.f64 1 (.f64 2 (/.f64 y x))) (if (<=.f64 x 5164499756173817/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752) -1 (if (<=.f64 x 1612616214368019/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832) 1 (if (<=.f64 x 3268667069840011/883423532389192164791648750371459257913741948437809479060803100646309888) -1 (+.f64 1 (.f64 2 (/.f64 y x)))))))
(if (<=.f64 x -7737125245533627/77371252455336267181195264) 1 (if (<=.f64 x 5551837237886853/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376) -1 (if (<=.f64 x 8457276146463389/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832) 1 (if (<=.f64 x 5477225900812991/883423532389192164791648750371459257913741948437809479060803100646309888) -1 1))))
-1

Compiler

Compiled 70 to 53 computations (24.3% saved)

soundness0.0ms (0%)

end1.0ms (0%)

preprocess257.0ms (8.9%)

Compiler: Compiled 176 to 120 computations (31.8% saved)

analyze10.0ms (0.4%)

sample1.6s (55.4%)

preprocess132.0ms (4.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize23.0ms (0.8%)

series3.0ms (0.1%)

rewrite60.0ms (2.1%)

simplify118.0ms (4.1%)

eval58.0ms (2%)

prune12.0ms (0.4%)

localize29.0ms (1%)

series3.0ms (0.1%)

rewrite56.0ms (2%)

simplify48.0ms (1.7%)

eval5.0ms (0.2%)

prune21.0ms (0.7%)

localize0.0ms (0%)

eval1.0ms (0%)

prune12.0ms (0.4%)

localize0.0ms (0%)

eval1.0ms (0%)

prune18.0ms (0.6%)

regimes37.0ms (1.3%)

regimes44.0ms (1.5%)

regimes19.0ms (0.6%)

regimes6.0ms (0.2%)

bsearch83.0ms (2.9%)

bsearch197.0ms (6.9%)

simplify31.0ms (1.1%)

soundness0.0ms (0%)

end1.0ms (0%)

preprocess257.0ms (8.9%)

Profiling