Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample961.0ms (59.3%)

Results

922.0ms	8255×	body	256	valid
0.0ms	1×	body	256	infinite

Bogosity

preprocess14.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

8×	`fma-def`
8×	`associate-+l+`
6×	`+-commutative`
4×	`associate-+r+`
4×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	13	26
2	19	26
3	22	18
4	27	18
5	29	18
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

Outputs
(+.f64 (+.f64 x y) x)
(+.f64 x (+.f64 x y))
(fma.f64 2 x y)
(fma.f64 x 2 y)
(+.f64 (+.f64 y x) y)
(+.f64 y (+.f64 x y))
(+.f64 x (+.f64 y y))
(fma.f64 2 y x)
(fma.f64 y 2 x)

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify14.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def`
4×	`associate-+l+`
4×	`+-commutative`
2×	`associate-+r+`
2×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	9	13
2	12	13
3	14	9
4	17	9
5	18	9

Stop Event

1×

saturated

Counts

1 → 4

Calls

Call 1

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

Outputs
(+.f64 (+.f64 x y) x)
(+.f64 x (+.f64 x y))
(fma.f64 2 x y)
(fma.f64 x 2 y)

eval1.0ms (0%)

Compiler: Compiled 20 to 9 computations (55% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	2	2	4
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	3	5

Accurracy

100.0%

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x 2 y)
▶	100.0%	(+.f64 (+.f64 x y) x)

Compiler

Compiled 13 to 8 computations (38.5% saved)

localize18.0ms (1.1%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series17.0ms (1.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	y	@	0	(+.f64 (+.f64 x y) x)
0.0ms	x	@	inf	(+.f64 (+.f64 x y) x)
0.0ms	x	@	0	(+.f64 (+.f64 x y) x)
0.0ms	y	@	inf	(+.f64 (+.f64 x y) x)
0.0ms	x	@	-inf	(+.f64 (+.f64 x y) x)

rewrite69.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1718×	`pow1`
1600×	`add-exp-log`
1600×	`log1p-expm1-u`
1600×	`expm1-log1p-u`
1572×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	139	13
2	2117	13

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

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

simplify58.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1760×	`fma-neg`
1118×	`div-sub`
872×	`associate-r`
826×	`associate-l`
556×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	88	1007
1	228	867
2	772	765
3	5447	765

Stop Event

1×	node limit

Counts

57 → 44

Calls

Call 1

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

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

localize19.0ms (1.2%)

Compiler: Compiled 10 to 6 computations (40% saved)

eval8.0ms (0.5%)

Compiler: Compiled 535 to 207 computations (61.3% saved)

prune8.0ms (0.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	41	3	44
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	43	3	46

Accurracy

100.0%

Counts

46 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (*.f64 2 x) y)
▶	51.1%	(+.f64 x x)
	50.3%	y

Compiler

Compiled 15 to 10 computations (33.3% saved)

localize14.0ms (0.9%)

Compiler: Compiled 7 to 4 computations (42.9% saved)

localize76.0ms (4.7%)

Compiler: Compiled 14 to 9 computations (35.7% saved)

eval0.0ms (0%)

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

prune1.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Accurracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 2 x) y)
✓	51.1%	(+.f64 x x)
	50.3%	y

Compiler

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Accurracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 2 x) y)
✓	51.1%	(+.f64 x x)
	50.3%	y

Compiler

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Accurracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 2 x) y)
✓	51.1%	(+.f64 x x)
	50.3%	y

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes17.0ms (1.1%)

Counts

5 → 1

Calls

Call 1

Inputs
y
(+.f64 x x)
(+.f64 (*.f64 2 x) y)
(+.f64 (+.f64 x y) x)
(fma.f64 x 2 y)

Outputs
(+.f64 (*.f64 2 x) y)

Calls

3 calls:

8.0ms	x
4.0ms	y
4.0ms	(+.f64 (+.f64 x y) x)

Results

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

Compiler

Compiled 33 to 18 computations (45.5% saved)

regimes37.0ms (2.3%)

Accuracy

Total -48.8b remaining (-369.9%)

Threshold costs -48.8b (-369.9%)

Counts

2 → 5

Calls

Call 1

Inputs
y
(+.f64 x x)

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

Calls

2 calls:

19.0ms	x
17.0ms	y

Results

Accuracy	Segments	Branch
78.0%	5	`x`
79.4%	5	`y`

Compiler

Compiled 12 to 7 computations (41.7% saved)

bsearch107.0ms (6.6%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
14.0ms	1332591.4541642922	7210028158448.267
13.0ms	-5.336201669709312e-89	-5.615476354401502e-95
14.0ms	-2.413131317783845e-19	-2.2093846267911508e-26
66.0ms	-1.45818398782691e+84	-9.087655051752552e+79

Results

101.0ms

560×

body

256

valid

Compiler

Compiled 362 to 253 computations (30.1% saved)

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	67
1	30	67
2	33	67
3	39	67
4	43	67
5	47	67
6	48	67
7	49	67

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

(+.f64 (*.f64 2 x) y)

(if (<=.f64 y -359999999999999994830180929522262860638747260068801296808520348805107569383178240) y (if (<=.f64 y -6911985578081563/2658455991569831745807614120560689152) (+.f64 x x) (if (<=.f64 y -949651770683389/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208) y (if (<=.f64 y 41000000000) (+.f64 x x) y))))

Outputs

(+.f64 (*.f64 2 x) y)

(if (<=.f64 y -359999999999999994830180929522262860638747260068801296808520348805107569383178240) y (if (<=.f64 y -6911985578081563/2658455991569831745807614120560689152) (+.f64 x x) (if (<=.f64 y -949651770683389/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208) y (if (<=.f64 y 41000000000) (+.f64 x x) y))))

Compiler

Compiled 37 to 22 computations (40.5% saved)

soundness124.0ms (7.7%)

Rules

1760×	`fma-neg`
1118×	`div-sub`
872×	`associate-r`
826×	`associate-l`
556×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	88	1007
1	228	867
2	772	765
3	5447	765

Stop Event

1×	node limit

Compiler

Compiled 8 to 5 computations (37.5% saved)

end45.0ms (2.8%)

Compiler: Compiled 94 to 54 computations (42.6% saved)

Details

analyze0.0ms (0%)

sample961.0ms (59.3%)

preprocess14.0ms (0.9%)

simplify14.0ms (0.9%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize18.0ms (1.1%)

series17.0ms (1.1%)

rewrite69.0ms (4.3%)

simplify58.0ms (3.6%)

localize19.0ms (1.2%)

eval8.0ms (0.5%)

prune8.0ms (0.5%)

localize14.0ms (0.9%)

localize76.0ms (4.7%)

eval0.0ms (0%)

prune1.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes17.0ms (1.1%)

regimes37.0ms (2.3%)

bsearch107.0ms (6.6%)

simplify7.0ms (0.4%)

soundness124.0ms (7.7%)

end45.0ms (2.8%)

Profiling