Details

analyze85.0ms (4.4%)

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
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
28.6%	25%	62.4%	0.1%	12.5%	0%	0%	6
42.9%	37.5%	50%	0.1%	12.5%	0%	0%	7
55.6%	46.8%	37.5%	0.1%	15.6%	0%	0%	8
63.6%	53.1%	30.4%	0.1%	16.4%	0%	0%	9
73.9%	58.5%	20.7%	0.1%	20.7%	0%	0%	10
79.3%	62%	16.2%	0.1%	21.7%	0%	0%	11
85.7%	65%	10.8%	0.1%	24.1%	0%	0%	12

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.4s (72.7%)

Results

1.3s	8256×	body	256	valid
72.0ms	462×	body	256	infinite

Bogosity

preprocess74.0ms (3.8%)

Algorithm

2×	egg-herbie

Rules

1028×	`fma-def`
288×	`associate-r`
248×	`distribute-lft-in`
230×	`*-commutative`
216×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	38
1	33	38
2	77	38
3	149	38
4	267	38
5	571	38
6	1201	38
7	1671	38
8	1972	38
9	2118	38
10	2120	38
11	2120	38
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify48.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

686×	`fma-def`
372×	`associate-r`
184×	`*-commutative`
168×	`distribute-lft-in`
160×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	21	19
2	49	19
3	100	19
4	177	19
5	283	19
6	534	19
7	1043	19
8	1449	19
9	1683	19
10	1733	19

Stop Event

1×

saturated

Counts

1 → 4

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 32 to 17 computations (46.9% 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%	(.f64 (-.f64 x y) (.f64 2 x))
▶	100.0%	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 20 to 13 computations (35% saved)

localize8.0ms (0.4%)

Compiler: Compiled 27 to 8 computations (70.4% saved)

localize6.0ms (0.3%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 18 to 9 computations (50% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite54.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1858×	`add-sqr-sqrt`
1838×	`*-un-lft-identity`
1718×	`add-cube-cbrt`
1698×	`add-cbrt-cube`
176×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	173	19
2	2255	19

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

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

Outputs

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

simplify63.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1686×	`associate-*r/`
1386×	`associate-*l/`
1122×	`associate-r`
984×	`associate-l`
784×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	69	1137
1	187	857
2	599	857
3	3686	857

Stop Event

1×	node limit

Counts

43 → 32

Calls

Call 1

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

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

eval6.0ms (0.3%)

Compiler: Compiled 365 to 199 computations (45.5% saved)

prune5.0ms (0.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	30	4	34

Accurracy

100.0%

Counts

34 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (-.f64 x y) (.f64 2 x))
▶	52.4%	(.f64 x (.f64 x 2))
▶	62.9%	(.f64 x (.f64 -2 y))
✓	100.0%	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 34 to 23 computations (32.4% saved)

localize10.0ms (0.5%)

Compiler: Compiled 13 to 8 computations (38.5% saved)

localize5.0ms (0.2%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Accurracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (-.f64 x y) (.f64 2 x))
✓	52.4%	(.f64 x (.f64 x 2))
✓	62.9%	(.f64 x (.f64 -2 y))
✓	100.0%	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 34 to 23 computations (32.4% saved)

regimes16.0ms (0.8%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	(-.f64 (.f64 x x) (.f64 x y))
4.0ms	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
4.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))`
100.0%	1	`(-.f64 (.f64 x x) (.f64 x y))`

Compiler

Compiled 54 to 33 computations (38.9% saved)

regimes9.0ms (0.5%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(.f64 (-.f64 x y) (.f64 2 x))

Calls

2 calls:

5.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes20.0ms (1.1%)

Accuracy

Total -49.6b remaining (-1183.9%)

Threshold costs -49.6b (-1183.9%)

Counts

2 → 3

Calls

Call 1

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

Outputs
(.f64 x (.f64 -2 y))
(.f64 x (.f64 x 2))
(.f64 x (.f64 -2 y))

Calls

2 calls:

11.0ms	x
8.0ms	y

Results

Accuracy	Segments	Branch
82.3%	3	`x`
93.5%	3	`y`

Compiler

Compiled 18 to 12 computations (33.3% saved)

bsearch41.0ms (2.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	0.0022792433145943235	88173.27059544725
12.0ms	-4.54055200302436	-0.00010510985311504791

Results

38.0ms

272×

body

256

valid

Compiler

Compiled 288 to 215 computations (25.3% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative`
12×	`+-commutative`
8×	`sub-neg`
6×	`neg-mul-1`
6×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	108
1	46	108
2	60	108
3	66	108
4	69	108

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
(.f64 (-.f64 x y) (.f64 2 x))
(if (<=.f64 y -1890791267555229/4611686018427387904) (.f64 x (.f64 -2 y)) (if (<=.f64 y 662929865148937/288230376151711744) (.f64 x (.f64 x 2)) (.f64 x (.f64 -2 y))))
(.f64 x (.f64 -2 y))

Outputs
(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
(.f64 (-.f64 x y) (.f64 2 x))
(if (<=.f64 y -1890791267555229/4611686018427387904) (.f64 x (.f64 -2 y)) (if (<=.f64 y 662929865148937/288230376151711744) (.f64 x (.f64 x 2)) (.f64 x (.f64 -2 y))))
(if (or (<=.f64 y -1890791267555229/4611686018427387904) (not (<=.f64 y 662929865148937/288230376151711744))) (.f64 x (.f64 y -2)) (.f64 x (.f64 2 x)))
(.f64 x (.f64 -2 y))
(.f64 x (.f64 y -2))

Compiler

Compiled 48 to 33 computations (31.3% saved)

soundness0.0ms (0%)

end61.0ms (3.2%)

Compiler: Compiled 42 to 27 computations (35.7% saved)

Details

analyze85.0ms (4.4%)

sample1.4s (72.7%)

preprocess74.0ms (3.8%)

simplify48.0ms (2.5%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize8.0ms (0.4%)

localize6.0ms (0.3%)

series3.0ms (0.1%)

rewrite54.0ms (2.8%)

simplify63.0ms (3.3%)

eval6.0ms (0.3%)

prune5.0ms (0.3%)

localize10.0ms (0.5%)

localize5.0ms (0.2%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes16.0ms (0.8%)

regimes9.0ms (0.5%)

regimes20.0ms (1.1%)

bsearch41.0ms (2.1%)

simplify6.0ms (0.3%)

soundness0.0ms (0%)

end61.0ms (3.2%)

Profiling