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

analyze11.0ms (0.5%)

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)

sample1.0s (47%)

Results

991.0ms

8256×

body

256

valid

Bogosity

preprocess162.0ms (7.6%)

Algorithm

1×	egg-herbie

Rules

2028×	`fma-def`
794×	`div-sub`
594×	`times-frac`
512×	`fma-neg`
424×	`associate-/r*`

Problems

256×

No Errors

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	163
1	35	163
2	73	163
3	181	163
4	466	155
5	1507	155
6	2902	155
7	3960	155
8	4353	155
9	4451	155
10	4458	155
11	4470	155

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

Compiler

Compiled 27 to 11 computations (59.3% 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)

localize70.0ms (3.3%)

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
0.0ms	x	@	inf	(/.f64 (+.f64 x y) (-.f64 x y))
0.0ms	x	@	0	(/.f64 (+.f64 x y) (-.f64 x y))
0.0ms	y	@	-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))

rewrite107.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

1104×	`prod-diff`
735×	`log1p-expm1-u`
735×	`expm1-log1p-u`
668×	`log-prod`
508×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	127	31
2	1918	31

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

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

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

simplify102.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

1984×	`fma-def`
1616×	`times-frac`
700×	`associate-*r/`
616×	`distribute-lft-in`
584×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	204	3124
1	560	2876
2	1944	2526

Stop Event

1×	node limit

Counts

70 → 91

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

eval21.0ms (1%)

Compiler: Compiled 1392 to 605 computations (56.5% saved)

prune15.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	87	4	91
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	87	5	92

Accuracy

100.0%

Counts

92 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (-.f64 x y))
▶	51.9%	(-.f64 (*.f64 -2 (/.f64 x y)) 1)
▶	50.8%	(+.f64 1 (*.f64 2 (/.f64 y x)))
	49.7%	1
	50.6%	-1
✓	100.0%	(/.f64 (+.f64 x y) (-.f64 x y))
▶	51.9%	(-.f64 (*.f64 -2 (/.f64 x y)) 1)
▶	50.8%	(+.f64 1 (*.f64 2 (/.f64 y x)))
	49.7%	1
	50.6%	-1

Compiler

Compiled 66 to 50 computations (24.2% saved)

localize42.0ms (2%)

Localize:

Found 2 expressions with local error:

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

Compiler

Compiled 41 to 21 computations (48.8% saved)

series5.0ms (0.3%)

Counts

2 → 0

Calls

12 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	@	0	(*.f64 -2 (/.f64 x y))
0.0ms	y	@	0	(*.f64 -2 (/.f64 x y))

rewrite79.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1256×	`unpow-prod-down`
770×	`log-prod`
660×	`log1p-expm1-u`
660×	`expm1-log1p-u`
444×	`pow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	38
1	139	38
2	1808	38

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

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

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

simplify64.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1406×	`log-prod`
1118×	`fma-def`
986×	`log-div`
630×	`times-frac`
554×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	165	1447
1	361	1395
2	877	1323
3	3639	1323

Stop Event

1×	node limit

Counts

63 → 74

Calls

Call 1

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

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

eval50.0ms (2.4%)

Compiler: Compiled 806 to 557 computations (30.9% saved)

prune12.0ms (0.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	2	2
Picked	0	2	2
Done	0	1	1
Total	74	5	79

Accuracy

100.0%

Counts

79 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (-.f64 x y))
✓	51.9%	(-.f64 (*.f64 -2 (/.f64 x y)) 1)
✓	50.8%	(+.f64 1 (*.f64 2 (/.f64 y x)))
	49.7%	1
	50.6%	-1
✓	100.0%	(/.f64 (+.f64 x y) (-.f64 x y))
✓	51.9%	(-.f64 (*.f64 -2 (/.f64 x y)) 1)
✓	50.8%	(+.f64 1 (*.f64 2 (/.f64 y x)))
	49.7%	1
	50.6%	-1

Compiler

Compiled 66 to 50 computations (24.2% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune55.0ms (2.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	3	3
Total	5	5

Accuracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (-.f64 x y))
✓	51.9%	(-.f64 (*.f64 -2 (/.f64 x y)) 1)
✓	50.8%	(+.f64 1 (*.f64 2 (/.f64 y x)))
	49.7%	1
	50.6%	-1
✓	100.0%	(/.f64 (+.f64 x y) (-.f64 x y))
✓	51.9%	(-.f64 (*.f64 -2 (/.f64 x y)) 1)
✓	50.8%	(+.f64 1 (*.f64 2 (/.f64 y x)))
	49.7%	1
	50.6%	-1

Compiler

Compiled 66 to 50 computations (24.2% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	3	3
Total	5	5

Accuracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (-.f64 x y))
✓	51.9%	(-.f64 (*.f64 -2 (/.f64 x y)) 1)
✓	50.8%	(+.f64 1 (*.f64 2 (/.f64 y x)))
	49.7%	1
	50.6%	-1

Compiler

Compiled 58 to 42 computations (27.6% saved)

regimes12.0ms (0.6%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
4.0ms	y
2.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

Results

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

Compiler

Compiled 40 to 26 computations (35% saved)

regimes85.0ms (4%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

45.0ms	y
11.0ms	x

Results

Accuracy	Segments	Branch
79.2%	3	`x`
79.1%	3	`y`

Compiler

Compiled 24 to 18 computations (25% saved)

regimes40.0ms (1.9%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

25.0ms	x
14.0ms	y

Results

Accuracy	Segments	Branch
78.4%	3	`y`
80.3%	5	`x`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes12.0ms (0.6%)

Counts

2 → 3

Calls

Call 1

Inputs
-1
1

Outputs
-1
1
-1

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
77.9%	3	`y`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes6.0ms (0.3%)

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
50.6%	1	`x`
50.6%	1	`y`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch33.0ms (1.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	2.1491852430951538e+92	7.540735130963933e+113
14.0ms	-4.5652934473572666e-41	-5.279002539381696e-45

Results

28.0ms

304×

body

256

valid

Compiler

Compiled 394 to 313 computations (20.6% saved)

bsearch23.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.681294197205622e-20	8.28079235685282e-18
10.0ms	-1.6789942988423285e-69	-1.9275978372244073e-70

Results

20.0ms

208×

body

256

valid

Compiler

Compiled 196 to 165 computations (15.8% saved)

bsearch38.0ms (1.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
36.0ms	3.681294197205622e-20	8.28079235685282e-18
2.0ms	-1.6789942988423285e-69	-1.9275978372244073e-70

Results

36.0ms

128×

body

256

valid

Compiler

Compiled 78 to 73 computations (6.4% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative`
8×	`sub-neg`
8×	`*-commutative`
6×	`if-if-or-not`
4×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	191
1	63	191
2	69	191
3	76	191
4	77	191

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (-.f64 x y))
(if (<=.f64 x -3916911482881289/100433627766186892221372630771322662657637687111424552206336) (+.f64 1 (.f64 2 (/.f64 y x))) (if (<=.f64 x 62999999999999999702722318238918520773282943764627003938512789997693079427523851670232620179914752) (-.f64 (.f64 -2 (/.f64 x y)) 1) (+.f64 1 (*.f64 2 (/.f64 y x)))))
(if (<=.f64 y -2486616182048933/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704) -1 (if (<=.f64 y 7144600477343923/83076749736557242056487941267521536) (+.f64 1 (*.f64 2 (/.f64 y x))) -1))
(if (<=.f64 y -1942668892225729/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176) -1 (if (<=.f64 y 571152654438831/2596148429267413814265248164610048) 1 -1))
-1

Outputs
(/.f64 (+.f64 x y) (-.f64 x y))
(if (<=.f64 x -3916911482881289/100433627766186892221372630771322662657637687111424552206336) (+.f64 1 (.f64 2 (/.f64 y x))) (if (<=.f64 x 62999999999999999702722318238918520773282943764627003938512789997693079427523851670232620179914752) (-.f64 (.f64 -2 (/.f64 x y)) 1) (+.f64 1 (*.f64 2 (/.f64 y x)))))
(if (or (<=.f64 x -3916911482881289/100433627766186892221372630771322662657637687111424552206336) (not (<=.f64 x 62999999999999999702722318238918520773282943764627003938512789997693079427523851670232620179914752))) (+.f64 1 (.f64 2 (/.f64 y x))) (-.f64 (.f64 -2 (/.f64 x y)) 1))
(if (or (<=.f64 x -3916911482881289/100433627766186892221372630771322662657637687111424552206336) (not (<=.f64 x 62999999999999999702722318238918520773282943764627003938512789997693079427523851670232620179914752))) (+.f64 1 (.f64 2 (/.f64 y x))) (+.f64 (.f64 -2 (/.f64 x y)) -1))
(if (<=.f64 y -2486616182048933/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704) -1 (if (<=.f64 y 7144600477343923/83076749736557242056487941267521536) (+.f64 1 (*.f64 2 (/.f64 y x))) -1))
(if (<=.f64 y -1942668892225729/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176) -1 (if (<=.f64 y 571152654438831/2596148429267413814265248164610048) 1 -1))
-1

Compiler

Compiled 69 to 53 computations (23.2% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess71.0ms (3.3%)

Compiler: Compiled 170 to 114 computations (32.9% saved)

analyze11.0ms (0.5%)

sample1.0s (47%)

preprocess162.0ms (7.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize70.0ms (3.3%)

series3.0ms (0.1%)

rewrite107.0ms (5%)

simplify102.0ms (4.8%)

eval21.0ms (1%)

prune15.0ms (0.7%)

localize42.0ms (2%)

series5.0ms (0.3%)

rewrite79.0ms (3.7%)

simplify64.0ms (3%)

eval50.0ms (2.4%)

prune12.0ms (0.6%)

localize0.0ms (0%)

eval0.0ms (0%)

prune55.0ms (2.6%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes12.0ms (0.6%)

regimes85.0ms (4%)

regimes40.0ms (1.9%)

regimes12.0ms (0.6%)

regimes6.0ms (0.3%)

bsearch33.0ms (1.5%)

bsearch23.0ms (1.1%)

bsearch38.0ms (1.8%)

simplify7.0ms (0.3%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess71.0ms (3.3%)

Profiling