Details

analyze74.0ms (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
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	6
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	7
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	8
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	9
82%	82%	18%	0.1%	0%	0%	0%	10
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	11
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample1.1s (57.3%)

Results

1.1s

8256×

body

256

valid

Bogosity

preprocess60.0ms (3.2%)

Algorithm

2×	egg-herbie

Rules

224×	`fma-def`
72×	`associate--r+`
72×	`associate-+l-`
60×	`+-commutative`
54×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	14	26
2	26	26
3	47	26
4	71	26
5	117	18
6	251	18
7	380	18
8	548	18
9	590	18
10	592	18
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(-.f64 x (/.f64 y 200))
(-.f64 y (/.f64 x 200))

Outputs
(-.f64 x (/.f64 y 200))
(+.f64 x (*.f64 -1/200 y))
(fma.f64 -1/200 y x)
(fma.f64 y -1/200 x)
(-.f64 y (/.f64 x 200))
(+.f64 y (*.f64 -1/200 x))
(fma.f64 -1/200 x y)
(fma.f64 x -1/200 y)

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify24.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

128×	`fma-def`
52×	`associate--r+`
48×	`associate-+l-`
40×	`*-commutative`
40×	`+-commutative`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	10	13
2	17	13
3	28	13
4	42	13
5	66	9
6	125	9
7	169	9
8	224	9
9	301	9
10	384	9
11	405	9
12	408	9

Stop Event

1×

saturated

Counts

1 → 4

Calls

Call 1

Inputs
(-.f64 x (/.f64 y 200))

Outputs
(-.f64 x (/.f64 y 200))
(+.f64 x (*.f64 -1/200 y))
(fma.f64 -1/200 y x)
(fma.f64 y -1/200 x)

eval1.0ms (0%)

Compiler: Compiled 20 to 12 computations (40% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

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

Accurracy

100.0%

Counts

5 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 y -1/200 x)
▶	100.0%	(-.f64 x (/.f64 y 200))
▶	99.9%	(+.f64 x (*.f64 -1/200 y))

Compiler

Compiled 20 to 14 computations (30% saved)

localize5.0ms (0.3%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 x (*.f64 -1/200 y))
✓	99.8%	(*.f64 -1/200 y)

Compiler

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(*.f64 -1/200 y)
0.0ms	y	@	inf	(*.f64 -1/200 y)
0.0ms	y	@	0	(*.f64 -1/200 y)
0.0ms	y	@	inf	(+.f64 x (*.f64 -1/200 y))
0.0ms	x	@	inf	(+.f64 x (*.f64 -1/200 y))

rewrite73.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1606×	`add-sqr-sqrt`
1580×	`*-un-lft-identity`
1486×	`add-cube-cbrt`
1472×	`add-cbrt-cube`
152×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	150	16
2	1943	16

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

Inputs
(*.f64 -1/200 y)
(+.f64 x (*.f64 -1/200 y))

Outputs
((-.f64 (exp.f64 (log1p.f64 (.f64 -1/200 y))) 1) (pow.f64 (.f64 -1/200 y) 1) (pow.f64 (sqrt.f64 (.f64 -1/200 y)) 2) (pow.f64 (cbrt.f64 (.f64 -1/200 y)) 3) (pow.f64 (.f64 -1/8000000 (pow.f64 y 3)) 1/3) (sqrt.f64 (.f64 1/40000 (.f64 y y))) (log.f64 (pow.f64 (exp.f64 y) -1/200)) (log.f64 (+.f64 1 (expm1.f64 (.f64 -1/200 y)))) (cbrt.f64 (.f64 -1/8000000 (pow.f64 y 3))) (expm1.f64 (log1p.f64 (.f64 -1/200 y))) (exp.f64 (log.f64 (.f64 -1/200 y))) (exp.f64 (.f64 (log.f64 (.f64 -1/200 y)) 1)) (log1p.f64 (expm1.f64 (.f64 -1/200 y))))
((-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/200 y x))) 1) (-.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 1/200 y))) (/.f64 (.f64 1/40000 (.f64 y y)) (+.f64 x (.f64 1/200 y)))) (.f64 (fma.f64 -1/200 y x) 1) (.f64 1 (fma.f64 -1/200 y x)) (.f64 (sqrt.f64 (fma.f64 -1/200 y x)) (sqrt.f64 (fma.f64 -1/200 y x))) (.f64 (cbrt.f64 (fma.f64 -1/200 y x)) (pow.f64 (cbrt.f64 (fma.f64 -1/200 y x)) 2)) (.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/200 y x)) 2) (cbrt.f64 (fma.f64 -1/200 y x))) (.f64 (-.f64 (.f64 x x) (.f64 1/40000 (.f64 y y))) (/.f64 1 (+.f64 x (.f64 1/200 y)))) (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/8000000 (pow.f64 y 3))) (/.f64 1 (fma.f64 x x (.f64 (.f64 -1/200 y) (-.f64 (.f64 -1/200 y) x))))) (/.f64 1 (/.f64 (+.f64 x (.f64 1/200 y)) (-.f64 (.f64 x x) (.f64 1/40000 (.f64 y y))))) (/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 -1/200 y) (-.f64 (.f64 -1/200 y) x))) (+.f64 (pow.f64 x 3) (.f64 -1/8000000 (pow.f64 y 3))))) (/.f64 (-.f64 (.f64 x x) (.f64 1/40000 (.f64 y y))) (+.f64 x (.f64 1/200 y))) (/.f64 (+.f64 (pow.f64 x 3) (.f64 -1/8000000 (pow.f64 y 3))) (fma.f64 x x (.f64 (.f64 -1/200 y) (-.f64 (.f64 -1/200 y) x)))) (/.f64 (+.f64 (pow.f64 x 3) (.f64 -1/8000000 (pow.f64 y 3))) (+.f64 (.f64 1/40000 (.f64 y y)) (-.f64 (.f64 x x) (.f64 (.f64 -1/200 y) x)))) (/.f64 (-.f64 (.f64 1/40000 (.f64 y y)) (.f64 x x)) (-.f64 (.f64 -1/200 y) x)) (/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 1/40000 (.f64 y y)))) (neg.f64 (+.f64 x (.f64 1/200 y)))) (/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (.f64 -1/8000000 (pow.f64 y 3)))) (neg.f64 (fma.f64 x x (.f64 (.f64 -1/200 y) (-.f64 (.f64 -1/200 y) x))))) (pow.f64 (fma.f64 -1/200 y x) 1) (pow.f64 (sqrt.f64 (fma.f64 -1/200 y x)) 2) (pow.f64 (cbrt.f64 (fma.f64 -1/200 y x)) 3) (pow.f64 (pow.f64 (fma.f64 -1/200 y x) 3) 1/3) (sqrt.f64 (pow.f64 (fma.f64 -1/200 y x) 2)) (log.f64 (exp.f64 (fma.f64 -1/200 y x))) (log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/200 y x)))) (cbrt.f64 (pow.f64 (fma.f64 -1/200 y x) 3)) (expm1.f64 (log1p.f64 (fma.f64 -1/200 y x))) (exp.f64 (log.f64 (fma.f64 -1/200 y x))) (exp.f64 (.f64 (log.f64 (fma.f64 -1/200 y x)) 1)) (log1p.f64 (expm1.f64 (fma.f64 -1/200 y x))) (fma.f64 -1/200 y x) (fma.f64 y -1/200 x) (fma.f64 1 (.f64 -1/200 y) x) (fma.f64 1 x (.f64 -1/200 y)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 -1/200 y)) (fma.f64 (sqrt.f64 (.f64 -1/200 y)) (sqrt.f64 (.f64 -1/200 y)) x) (fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 -1/200 y)) (fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/200 y)) 2) (cbrt.f64 (.f64 -1/200 y)) x))

Outputs

((-.f64 (exp.f64 (log1p.f64 (*.f64 -1/200 y))) 1) (pow.f64 (*.f64 -1/200 y) 1) (pow.f64 (sqrt.f64 (*.f64 -1/200 y)) 2) (pow.f64 (cbrt.f64 (*.f64 -1/200 y)) 3) (pow.f64 (*.f64 -1/8000000 (pow.f64 y 3)) 1/3) (sqrt.f64 (*.f64 1/40000 (*.f64 y y))) (log.f64 (pow.f64 (exp.f64 y) -1/200)) (log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/200 y)))) (cbrt.f64 (*.f64 -1/8000000 (pow.f64 y 3))) (expm1.f64 (log1p.f64 (*.f64 -1/200 y))) (exp.f64 (log.f64 (*.f64 -1/200 y))) (exp.f64 (*.f64 (log.f64 (*.f64 -1/200 y)) 1)) (log1p.f64 (expm1.f64 (*.f64 -1/200 y))))

((-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/200 y x))) 1) (-.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 1/200 y))) (/.f64 (*.f64 1/40000 (*.f64 y y)) (+.f64 x (*.f64 1/200 y)))) (*.f64 (fma.f64 -1/200 y x) 1) (*.f64 1 (fma.f64 -1/200 y x)) (*.f64 (sqrt.f64 (fma.f64 -1/200 y x)) (sqrt.f64 (fma.f64 -1/200 y x))) (*.f64 (cbrt.f64 (fma.f64 -1/200 y x)) (pow.f64 (cbrt.f64 (fma.f64 -1/200 y x)) 2)) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/200 y x)) 2) (cbrt.f64 (fma.f64 -1/200 y x))) (*.f64 (-.f64 (*.f64 x x) (*.f64 1/40000 (*.f64 y y))) (/.f64 1 (+.f64 x (*.f64 1/200 y)))) (*.f64 (+.f64 (pow.f64 x 3) (*.f64 -1/8000000 (pow.f64 y 3))) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 -1/200 y) (-.f64 (*.f64 -1/200 y) x))))) (/.f64 1 (/.f64 (+.f64 x (*.f64 1/200 y)) (-.f64 (*.f64 x x) (*.f64 1/40000 (*.f64 y y))))) (/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 -1/200 y) (-.f64 (*.f64 -1/200 y) x))) (+.f64 (pow.f64 x 3) (*.f64 -1/8000000 (pow.f64 y 3))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 1/40000 (*.f64 y y))) (+.f64 x (*.f64 1/200 y))) (/.f64 (+.f64 (pow.f64 x 3) (*.f64 -1/8000000 (pow.f64 y 3))) (fma.f64 x x (*.f64 (*.f64 -1/200 y) (-.f64 (*.f64 -1/200 y) x)))) (/.f64 (+.f64 (pow.f64 x 3) (*.f64 -1/8000000 (pow.f64 y 3))) (+.f64 (*.f64 1/40000 (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 (*.f64 -1/200 y) x)))) (/.f64 (-.f64 (*.f64 1/40000 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 -1/200 y) x)) (/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 1/40000 (*.f64 y y)))) (neg.f64 (+.f64 x (*.f64 1/200 y)))) (/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 -1/8000000 (pow.f64 y 3)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 -1/200 y) (-.f64 (*.f64 -1/200 y) x))))) (pow.f64 (fma.f64 -1/200 y x) 1) (pow.f64 (sqrt.f64 (fma.f64 -1/200 y x)) 2) (pow.f64 (cbrt.f64 (fma.f64 -1/200 y x)) 3) (pow.f64 (pow.f64 (fma.f64 -1/200 y x) 3) 1/3) (sqrt.f64 (pow.f64 (fma.f64 -1/200 y x) 2)) (log.f64 (exp.f64 (fma.f64 -1/200 y x))) (log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/200 y x)))) (cbrt.f64 (pow.f64 (fma.f64 -1/200 y x) 3)) (expm1.f64 (log1p.f64 (fma.f64 -1/200 y x))) (exp.f64 (log.f64 (fma.f64 -1/200 y x))) (exp.f64 (*.f64 (log.f64 (fma.f64 -1/200 y x)) 1)) (log1p.f64 (expm1.f64 (fma.f64 -1/200 y x))) (fma.f64 -1/200 y x) (fma.f64 y -1/200 x) (fma.f64 1 (*.f64 -1/200 y) x) (fma.f64 1 x (*.f64 -1/200 y)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/200 y)) (fma.f64 (sqrt.f64 (*.f64 -1/200 y)) (sqrt.f64 (*.f64 -1/200 y)) x) (fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 -1/200 y)) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/200 y)) 2) (cbrt.f64 (*.f64 -1/200 y)) x))

simplify62.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1790×	`associate-+r+`
1474×	`associate-l`
1236×	`associate-+l+`
502×	`+-commutative`
494×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	1164
1	272	1066
2	1003	1046
3	4946	1046

Stop Event

1×	node limit

Counts

74 → 62

Calls

Call 1

Inputs
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
x
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
x
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
x
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/200 y))) 1)
(pow.f64 (*.f64 -1/200 y) 1)
(pow.f64 (sqrt.f64 (*.f64 -1/200 y)) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/200 y)) 3)
(pow.f64 (*.f64 -1/8000000 (pow.f64 y 3)) 1/3)
(sqrt.f64 (.f64 1/40000 (.f64 y y)))
(log.f64 (pow.f64 (exp.f64 y) -1/200))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/200 y))))
(cbrt.f64 (*.f64 -1/8000000 (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 -1/200 y)))
(exp.f64 (log.f64 (*.f64 -1/200 y)))
(exp.f64 (.f64 (log.f64 (.f64 -1/200 y)) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/200 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/200 y x))) 1)
(-.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 1/200 y))) (/.f64 (.f64 1/40000 (.f64 y y)) (+.f64 x (*.f64 1/200 y))))
(*.f64 (fma.f64 -1/200 y x) 1)
(*.f64 1 (fma.f64 -1/200 y x))
(*.f64 (sqrt.f64 (fma.f64 -1/200 y x)) (sqrt.f64 (fma.f64 -1/200 y x)))
(*.f64 (cbrt.f64 (fma.f64 -1/200 y x)) (pow.f64 (cbrt.f64 (fma.f64 -1/200 y x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/200 y x)) 2) (cbrt.f64 (fma.f64 -1/200 y x)))
(.f64 (-.f64 (.f64 x x) (.f64 1/40000 (.f64 y y))) (/.f64 1 (+.f64 x (*.f64 1/200 y))))
(.f64 (+.f64 (pow.f64 x 3) (.f64 -1/8000000 (pow.f64 y 3))) (/.f64 1 (fma.f64 x x (.f64 (.f64 -1/200 y) (-.f64 (*.f64 -1/200 y) x)))))
(/.f64 1 (/.f64 (+.f64 x (.f64 1/200 y)) (-.f64 (.f64 x x) (.f64 1/40000 (.f64 y y)))))
(/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 -1/200 y) (-.f64 (.f64 -1/200 y) x))) (+.f64 (pow.f64 x 3) (.f64 -1/8000000 (pow.f64 y 3)))))
(/.f64 (-.f64 (.f64 x x) (.f64 1/40000 (.f64 y y))) (+.f64 x (.f64 1/200 y)))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 -1/8000000 (pow.f64 y 3))) (fma.f64 x x (.f64 (.f64 -1/200 y) (-.f64 (.f64 -1/200 y) x))))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 -1/8000000 (pow.f64 y 3))) (+.f64 (.f64 1/40000 (.f64 y y)) (-.f64 (.f64 x x) (.f64 (.f64 -1/200 y) x))))
(/.f64 (-.f64 (.f64 1/40000 (.f64 y y)) (.f64 x x)) (-.f64 (.f64 -1/200 y) x))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 1/40000 (.f64 y y)))) (neg.f64 (+.f64 x (.f64 1/200 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (.f64 -1/8000000 (pow.f64 y 3)))) (neg.f64 (fma.f64 x x (.f64 (.f64 -1/200 y) (-.f64 (.f64 -1/200 y) x)))))
(pow.f64 (fma.f64 -1/200 y x) 1)
(pow.f64 (sqrt.f64 (fma.f64 -1/200 y x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/200 y x)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/200 y x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/200 y x) 2))
(log.f64 (exp.f64 (fma.f64 -1/200 y x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/200 y x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/200 y x) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/200 y x)))
(exp.f64 (log.f64 (fma.f64 -1/200 y x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/200 y x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/200 y x)))
(fma.f64 -1/200 y x)
(fma.f64 y -1/200 x)
(fma.f64 1 (*.f64 -1/200 y) x)
(fma.f64 1 x (*.f64 -1/200 y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/200 y))
(fma.f64 (sqrt.f64 (.f64 -1/200 y)) (sqrt.f64 (.f64 -1/200 y)) x)
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 -1/200 y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/200 y)) 2) (cbrt.f64 (.f64 -1/200 y)) x)

Outputs
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
x
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
x
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
x
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/200 y))) 1)
(*.f64 -1/200 y)
(pow.f64 (*.f64 -1/200 y) 1)
(*.f64 -1/200 y)
(pow.f64 (sqrt.f64 (*.f64 -1/200 y)) 2)
(*.f64 -1/200 y)
(pow.f64 (cbrt.f64 (*.f64 -1/200 y)) 3)
(*.f64 -1/200 y)
(pow.f64 (*.f64 -1/8000000 (pow.f64 y 3)) 1/3)
(cbrt.f64 (*.f64 -1/8000000 (pow.f64 y 3)))
(sqrt.f64 (.f64 1/40000 (.f64 y y)))
(sqrt.f64 (.f64 y (.f64 y 1/40000)))
(log.f64 (pow.f64 (exp.f64 y) -1/200))
(*.f64 -1/200 y)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/200 y))))
(*.f64 -1/200 y)
(cbrt.f64 (*.f64 -1/8000000 (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 -1/200 y)))
(*.f64 -1/200 y)
(exp.f64 (log.f64 (*.f64 -1/200 y)))
(*.f64 -1/200 y)
(exp.f64 (.f64 (log.f64 (.f64 -1/200 y)) 1))
(*.f64 -1/200 y)
(log1p.f64 (expm1.f64 (*.f64 -1/200 y)))
(*.f64 -1/200 y)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/200 y x))) 1)
(fma.f64 -1/200 y x)
(-.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 1/200 y))) (/.f64 (.f64 1/40000 (.f64 y y)) (+.f64 x (*.f64 1/200 y))))
(/.f64 (+.f64 (.f64 x x) (.f64 -1/40000 (.f64 y y))) (+.f64 x (.f64 y 1/200)))
(/.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000)) (fma.f64 y 1/200 x))
(/.f64 (fma.f64 x x (.f64 y (.f64 y -1/40000))) (fma.f64 y 1/200 x))
(*.f64 (fma.f64 -1/200 y x) 1)
(fma.f64 -1/200 y x)
(*.f64 1 (fma.f64 -1/200 y x))
(fma.f64 -1/200 y x)
(*.f64 (sqrt.f64 (fma.f64 -1/200 y x)) (sqrt.f64 (fma.f64 -1/200 y x)))
(fma.f64 -1/200 y x)
(*.f64 (cbrt.f64 (fma.f64 -1/200 y x)) (pow.f64 (cbrt.f64 (fma.f64 -1/200 y x)) 2))
(fma.f64 -1/200 y x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/200 y x)) 2) (cbrt.f64 (fma.f64 -1/200 y x)))
(fma.f64 -1/200 y x)
(.f64 (-.f64 (.f64 x x) (.f64 1/40000 (.f64 y y))) (/.f64 1 (+.f64 x (*.f64 1/200 y))))
(/.f64 (+.f64 (.f64 x x) (.f64 -1/40000 (.f64 y y))) (+.f64 x (.f64 y 1/200)))
(/.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000)) (fma.f64 y 1/200 x))
(/.f64 (fma.f64 x x (.f64 y (.f64 y -1/40000))) (fma.f64 y 1/200 x))
(.f64 (+.f64 (pow.f64 x 3) (.f64 -1/8000000 (pow.f64 y 3))) (/.f64 1 (fma.f64 x x (.f64 (.f64 -1/200 y) (-.f64 (*.f64 -1/200 y) x)))))
(.f64 (+.f64 (.f64 -1/8000000 (pow.f64 y 3)) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 -1/200 (.f64 y (-.f64 (*.f64 -1/200 y) x))))))
(/.f64 (fma.f64 -1/8000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x x (.f64 -1/200 (.f64 y (-.f64 (*.f64 -1/200 y) x)))))
(/.f64 (fma.f64 -1/8000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y 1/200 x) (.f64 y (.f64 y 1/40000))))
(/.f64 (fma.f64 -1/8000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 y (.f64 y 1/40000) (.f64 x (fma.f64 y 1/200 x))))
(/.f64 1 (/.f64 (+.f64 x (.f64 1/200 y)) (-.f64 (.f64 x x) (.f64 1/40000 (.f64 y y)))))
(/.f64 (+.f64 (.f64 x x) (.f64 -1/40000 (.f64 y y))) (+.f64 x (.f64 y 1/200)))
(/.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000)) (fma.f64 y 1/200 x))
(/.f64 (fma.f64 x x (.f64 y (.f64 y -1/40000))) (fma.f64 y 1/200 x))
(/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 -1/200 y) (-.f64 (.f64 -1/200 y) x))) (+.f64 (pow.f64 x 3) (.f64 -1/8000000 (pow.f64 y 3)))))
(.f64 (+.f64 (.f64 -1/8000000 (pow.f64 y 3)) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 -1/200 (.f64 y (-.f64 (*.f64 -1/200 y) x))))))
(/.f64 (fma.f64 -1/8000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x x (.f64 -1/200 (.f64 y (-.f64 (*.f64 -1/200 y) x)))))
(/.f64 (fma.f64 -1/8000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y 1/200 x) (.f64 y (.f64 y 1/40000))))
(/.f64 (fma.f64 -1/8000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 y (.f64 y 1/40000) (.f64 x (fma.f64 y 1/200 x))))
(/.f64 (-.f64 (.f64 x x) (.f64 1/40000 (.f64 y y))) (+.f64 x (.f64 1/200 y)))
(/.f64 (+.f64 (.f64 x x) (.f64 -1/40000 (.f64 y y))) (+.f64 x (.f64 y 1/200)))
(/.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000)) (fma.f64 y 1/200 x))
(/.f64 (fma.f64 x x (.f64 y (.f64 y -1/40000))) (fma.f64 y 1/200 x))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 -1/8000000 (pow.f64 y 3))) (fma.f64 x x (.f64 (.f64 -1/200 y) (-.f64 (.f64 -1/200 y) x))))
(.f64 (+.f64 (.f64 -1/8000000 (pow.f64 y 3)) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 -1/200 (.f64 y (-.f64 (*.f64 -1/200 y) x))))))
(/.f64 (fma.f64 -1/8000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x x (.f64 -1/200 (.f64 y (-.f64 (*.f64 -1/200 y) x)))))
(/.f64 (fma.f64 -1/8000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y 1/200 x) (.f64 y (.f64 y 1/40000))))
(/.f64 (fma.f64 -1/8000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 y (.f64 y 1/40000) (.f64 x (fma.f64 y 1/200 x))))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 -1/8000000 (pow.f64 y 3))) (+.f64 (.f64 1/40000 (.f64 y y)) (-.f64 (.f64 x x) (.f64 (.f64 -1/200 y) x))))
(.f64 (+.f64 (.f64 -1/8000000 (pow.f64 y 3)) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 -1/200 (.f64 y (-.f64 (*.f64 -1/200 y) x))))))
(/.f64 (fma.f64 -1/8000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x x (.f64 -1/200 (.f64 y (-.f64 (*.f64 -1/200 y) x)))))
(/.f64 (fma.f64 -1/8000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y 1/200 x) (.f64 y (.f64 y 1/40000))))
(/.f64 (fma.f64 -1/8000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 y (.f64 y 1/40000) (.f64 x (fma.f64 y 1/200 x))))
(/.f64 (-.f64 (.f64 1/40000 (.f64 y y)) (.f64 x x)) (-.f64 (.f64 -1/200 y) x))
(/.f64 (+.f64 (.f64 x x) (.f64 -1/40000 (.f64 y y))) (+.f64 x (.f64 y 1/200)))
(/.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000)) (fma.f64 y 1/200 x))
(/.f64 (fma.f64 x x (.f64 y (.f64 y -1/40000))) (fma.f64 y 1/200 x))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 1/40000 (.f64 y y)))) (neg.f64 (+.f64 x (.f64 1/200 y))))
(/.f64 (+.f64 (.f64 x x) (.f64 -1/40000 (.f64 y y))) (+.f64 x (.f64 y 1/200)))
(/.f64 (fma.f64 x x (.f64 (.f64 y y) -1/40000)) (fma.f64 y 1/200 x))
(/.f64 (fma.f64 x x (.f64 y (.f64 y -1/40000))) (fma.f64 y 1/200 x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (.f64 -1/8000000 (pow.f64 y 3)))) (neg.f64 (fma.f64 x x (.f64 (.f64 -1/200 y) (-.f64 (.f64 -1/200 y) x)))))
(.f64 (+.f64 (.f64 -1/8000000 (pow.f64 y 3)) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 -1/200 (.f64 y (-.f64 (*.f64 -1/200 y) x))))))
(/.f64 (fma.f64 -1/8000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x x (.f64 -1/200 (.f64 y (-.f64 (*.f64 -1/200 y) x)))))
(/.f64 (fma.f64 -1/8000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y 1/200 x) (.f64 y (.f64 y 1/40000))))
(/.f64 (fma.f64 -1/8000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 y (.f64 y 1/40000) (.f64 x (fma.f64 y 1/200 x))))
(pow.f64 (fma.f64 -1/200 y x) 1)
(fma.f64 -1/200 y x)
(pow.f64 (sqrt.f64 (fma.f64 -1/200 y x)) 2)
(fma.f64 -1/200 y x)
(pow.f64 (cbrt.f64 (fma.f64 -1/200 y x)) 3)
(fma.f64 -1/200 y x)
(pow.f64 (pow.f64 (fma.f64 -1/200 y x) 3) 1/3)
(fma.f64 -1/200 y x)
(sqrt.f64 (pow.f64 (fma.f64 -1/200 y x) 2))
(fma.f64 -1/200 y x)
(log.f64 (exp.f64 (fma.f64 -1/200 y x)))
(fma.f64 -1/200 y x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/200 y x))))
(fma.f64 -1/200 y x)
(cbrt.f64 (pow.f64 (fma.f64 -1/200 y x) 3))
(fma.f64 -1/200 y x)
(expm1.f64 (log1p.f64 (fma.f64 -1/200 y x)))
(fma.f64 -1/200 y x)
(exp.f64 (log.f64 (fma.f64 -1/200 y x)))
(fma.f64 -1/200 y x)
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/200 y x)) 1))
(fma.f64 -1/200 y x)
(log1p.f64 (expm1.f64 (fma.f64 -1/200 y x)))
(fma.f64 -1/200 y x)
(fma.f64 -1/200 y x)
(fma.f64 y -1/200 x)
(fma.f64 -1/200 y x)
(fma.f64 1 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(fma.f64 1 x (*.f64 -1/200 y))
(fma.f64 -1/200 y x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/200 y))
(fma.f64 -1/200 y x)
(fma.f64 (sqrt.f64 (.f64 -1/200 y)) (sqrt.f64 (.f64 -1/200 y)) x)
(fma.f64 -1/200 y x)
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 -1/200 y))
(fma.f64 -1/200 y (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/200 y)) 2) (cbrt.f64 (.f64 -1/200 y)) x)
(fma.f64 -1/200 y x)

localize5.0ms (0.3%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 x (/.f64 y 200))

Compiler

Compiled 13 to 8 computations (38.5% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 x (/.f64 y 200))
0.0ms	y	@	0	(-.f64 x (/.f64 y 200))
0.0ms	x	@	inf	(-.f64 x (/.f64 y 200))
0.0ms	x	@	-inf	(-.f64 x (/.f64 y 200))
0.0ms	y	@	inf	(-.f64 x (/.f64 y 200))

rewrite65.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1736×	`add-sqr-sqrt`
1700×	`*-un-lft-identity`
1608×	`add-cube-cbrt`
1594×	`add-cbrt-cube`
158×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	159	13
2	2107	13

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(-.f64 x (/.f64 y 200))

Outputs
((+.f64 x (.f64 y -1/200)) (+.f64 x (.f64 (.f64 y -1/200) 1)) (+.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 -1/200 y (.f64 y 1/200))) (+.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 (.f64 y -1/200) 1 (.f64 y 1/200))) (+.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y 1/200))) (sqrt.f64 (.f64 y 1/200)) (.f64 y 1/200))) (+.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y 1/200))) (pow.f64 (cbrt.f64 (.f64 y 1/200)) 2) (.f64 y 1/200))) (+.f64 (.f64 y -1/200) x) (.f64 (+.f64 x (.f64 y -1/200)) 1) (.f64 1 (+.f64 x (.f64 y -1/200))) (.f64 (sqrt.f64 (+.f64 x (.f64 y -1/200))) (sqrt.f64 (+.f64 x (.f64 y -1/200)))) (.f64 (cbrt.f64 (+.f64 x (.f64 y -1/200))) (pow.f64 (cbrt.f64 (+.f64 x (.f64 y -1/200))) 2)) (.f64 (pow.f64 (cbrt.f64 (+.f64 x (.f64 y -1/200))) 2) (cbrt.f64 (+.f64 x (.f64 y -1/200)))) (.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)) (/.f64 1 (+.f64 x (.f64 y 1/200)))) (.f64 (-.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/8000000)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y 1/200) (+.f64 x (.f64 y 1/200)))))) (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y 1/200))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y 1/200)))) (/.f64 1 (/.f64 (+.f64 x (.f64 y 1/200)) (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)))) (/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 y 1/200) (+.f64 x (.f64 y 1/200)))) (-.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/8000000)))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)) (+.f64 x (.f64 y 1/200))) (/.f64 (-.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/8000000)) (fma.f64 x x (.f64 (.f64 y 1/200) (+.f64 x (.f64 y 1/200))))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y -1/200) (.f64 y -1/200))) (-.f64 x (.f64 y -1/200))) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y -1/200) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 y -1/200) (.f64 y -1/200)) (.f64 x (.f64 y -1/200))))) (/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000))) (neg.f64 (+.f64 x (.f64 y 1/200)))) (/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/8000000))) (neg.f64 (fma.f64 x x (.f64 (.f64 y 1/200) (+.f64 x (.f64 y 1/200)))))) (pow.f64 (+.f64 x (.f64 y -1/200)) 1) (pow.f64 (sqrt.f64 (+.f64 x (.f64 y -1/200))) 2) (pow.f64 (cbrt.f64 (+.f64 x (.f64 y -1/200))) 3) (pow.f64 (pow.f64 (+.f64 x (.f64 y -1/200)) 3) 1/3) (sqrt.f64 (pow.f64 (+.f64 x (.f64 y -1/200)) 2)) (log.f64 (exp.f64 (+.f64 x (.f64 y -1/200)))) (log.f64 (+.f64 1 (expm1.f64 (+.f64 x (.f64 y -1/200))))) (cbrt.f64 (pow.f64 (+.f64 x (.f64 y -1/200)) 3)) (expm1.f64 (log1p.f64 (+.f64 x (.f64 y -1/200)))) (exp.f64 (log.f64 (+.f64 x (.f64 y -1/200)))) (exp.f64 (.f64 (log.f64 (+.f64 x (.f64 y -1/200))) 1)) (log1p.f64 (expm1.f64 (+.f64 x (.f64 y -1/200)))) (fma.f64 1 x (.f64 y -1/200)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 y -1/200)) (fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 y -1/200)))

Outputs

((+.f64 x (*.f64 y -1/200)) (+.f64 x (*.f64 (*.f64 y -1/200) 1)) (+.f64 (+.f64 x (*.f64 y -1/200)) (fma.f64 -1/200 y (*.f64 y 1/200))) (+.f64 (+.f64 x (*.f64 y -1/200)) (fma.f64 (*.f64 y -1/200) 1 (*.f64 y 1/200))) (+.f64 (+.f64 x (*.f64 y -1/200)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y 1/200))) (sqrt.f64 (*.f64 y 1/200)) (*.f64 y 1/200))) (+.f64 (+.f64 x (*.f64 y -1/200)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y 1/200))) (pow.f64 (cbrt.f64 (*.f64 y 1/200)) 2) (*.f64 y 1/200))) (+.f64 (*.f64 y -1/200) x) (*.f64 (+.f64 x (*.f64 y -1/200)) 1) (*.f64 1 (+.f64 x (*.f64 y -1/200))) (*.f64 (sqrt.f64 (+.f64 x (*.f64 y -1/200))) (sqrt.f64 (+.f64 x (*.f64 y -1/200)))) (*.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) 2)) (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) 2) (cbrt.f64 (+.f64 x (*.f64 y -1/200)))) (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000)) (/.f64 1 (+.f64 x (*.f64 y 1/200)))) (*.f64 (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/8000000)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y 1/200) (+.f64 x (*.f64 y 1/200)))))) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y 1/200))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y 1/200)))) (/.f64 1 (/.f64 (+.f64 x (*.f64 y 1/200)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000)))) (/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y 1/200) (+.f64 x (*.f64 y 1/200)))) (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/8000000)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000)) (+.f64 x (*.f64 y 1/200))) (/.f64 (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/8000000)) (fma.f64 x x (*.f64 (*.f64 y 1/200) (+.f64 x (*.f64 y 1/200))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y -1/200) (*.f64 y -1/200))) (-.f64 x (*.f64 y -1/200))) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y -1/200) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y -1/200) (*.f64 y -1/200)) (*.f64 x (*.f64 y -1/200))))) (/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000))) (neg.f64 (+.f64 x (*.f64 y 1/200)))) (/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/8000000))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y 1/200) (+.f64 x (*.f64 y 1/200)))))) (pow.f64 (+.f64 x (*.f64 y -1/200)) 1) (pow.f64 (sqrt.f64 (+.f64 x (*.f64 y -1/200))) 2) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) 3) (pow.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 3) 1/3) (sqrt.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 2)) (log.f64 (exp.f64 (+.f64 x (*.f64 y -1/200)))) (log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 y -1/200))))) (cbrt.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 3)) (expm1.f64 (log1p.f64 (+.f64 x (*.f64 y -1/200)))) (exp.f64 (log.f64 (+.f64 x (*.f64 y -1/200)))) (exp.f64 (*.f64 (log.f64 (+.f64 x (*.f64 y -1/200))) 1)) (log1p.f64 (expm1.f64 (+.f64 x (*.f64 y -1/200)))) (fma.f64 1 x (*.f64 y -1/200)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y -1/200)) (fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 y -1/200)))

simplify57.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1108×	`associate-*r/`
782×	`*-commutative`
734×	`associate-+r+`
718×	`fma-def`
576×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	109	886
1	286	816
2	1184	816
3	4272	816

Stop Event

1×	node limit

Counts

62 → 48

Calls

Call 1

Inputs
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
x
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
x
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
x
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 x (*.f64 y -1/200))
(+.f64 x (.f64 (.f64 y -1/200) 1))
(+.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 -1/200 y (.f64 y 1/200)))
(+.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 (.f64 y -1/200) 1 (*.f64 y 1/200)))
(+.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y 1/200))) (sqrt.f64 (.f64 y 1/200)) (.f64 y 1/200)))
(+.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y 1/200))) (pow.f64 (cbrt.f64 (.f64 y 1/200)) 2) (.f64 y 1/200)))
(+.f64 (*.f64 y -1/200) x)
(.f64 (+.f64 x (.f64 y -1/200)) 1)
(.f64 1 (+.f64 x (.f64 y -1/200)))
(.f64 (sqrt.f64 (+.f64 x (.f64 y -1/200))) (sqrt.f64 (+.f64 x (*.f64 y -1/200))))
(.f64 (cbrt.f64 (+.f64 x (.f64 y -1/200))) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x (.f64 y -1/200))) 2) (cbrt.f64 (+.f64 x (*.f64 y -1/200))))
(.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)) (/.f64 1 (+.f64 x (*.f64 y 1/200))))
(.f64 (-.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/8000000)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y 1/200) (+.f64 x (*.f64 y 1/200))))))
(.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y 1/200))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y 1/200))))
(/.f64 1 (/.f64 (+.f64 x (.f64 y 1/200)) (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000))))
(/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 y 1/200) (+.f64 x (.f64 y 1/200)))) (-.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/8000000))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)) (+.f64 x (.f64 y 1/200)))
(/.f64 (-.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/8000000)) (fma.f64 x x (.f64 (.f64 y 1/200) (+.f64 x (.f64 y 1/200)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y -1/200) (.f64 y -1/200))) (-.f64 x (*.f64 y -1/200)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y -1/200) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 y -1/200) (.f64 y -1/200)) (.f64 x (*.f64 y -1/200)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000))) (neg.f64 (+.f64 x (.f64 y 1/200))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/8000000))) (neg.f64 (fma.f64 x x (.f64 (.f64 y 1/200) (+.f64 x (.f64 y 1/200))))))
(pow.f64 (+.f64 x (*.f64 y -1/200)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 y -1/200))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) 3)
(pow.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 2))
(log.f64 (exp.f64 (+.f64 x (*.f64 y -1/200))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 y -1/200)))))
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 y -1/200))))
(exp.f64 (log.f64 (+.f64 x (*.f64 y -1/200))))
(exp.f64 (.f64 (log.f64 (+.f64 x (.f64 y -1/200))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 y -1/200))))
(fma.f64 1 x (*.f64 y -1/200))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y -1/200))
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 y -1/200))

Outputs
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
x
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
x
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
x
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 x (*.f64 y -1/200))
(fma.f64 -1/200 y x)
(+.f64 x (.f64 (.f64 y -1/200) 1))
(fma.f64 -1/200 y x)
(+.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 -1/200 y (.f64 y 1/200)))
(fma.f64 -1/200 y x)
(+.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 (.f64 y -1/200) 1 (*.f64 y 1/200)))
(fma.f64 -1/200 y x)
(+.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y 1/200))) (sqrt.f64 (.f64 y 1/200)) (.f64 y 1/200)))
(fma.f64 -1/200 y x)
(+.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y 1/200))) (pow.f64 (cbrt.f64 (.f64 y 1/200)) 2) (.f64 y 1/200)))
(fma.f64 -1/200 y x)
(+.f64 (*.f64 y -1/200) x)
(fma.f64 -1/200 y x)
(.f64 (+.f64 x (.f64 y -1/200)) 1)
(fma.f64 -1/200 y x)
(.f64 1 (+.f64 x (.f64 y -1/200)))
(fma.f64 -1/200 y x)
(.f64 (sqrt.f64 (+.f64 x (.f64 y -1/200))) (sqrt.f64 (+.f64 x (*.f64 y -1/200))))
(fma.f64 -1/200 y x)
(.f64 (cbrt.f64 (+.f64 x (.f64 y -1/200))) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) 2))
(fma.f64 -1/200 y x)
(.f64 (pow.f64 (cbrt.f64 (+.f64 x (.f64 y -1/200))) 2) (cbrt.f64 (+.f64 x (*.f64 y -1/200))))
(fma.f64 -1/200 y x)
(.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)) (/.f64 1 (+.f64 x (*.f64 y 1/200))))
(fma.f64 -1/200 y x)
(.f64 (-.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/8000000)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y 1/200) (+.f64 x (*.f64 y 1/200))))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 x x (.f64 1/200 (.f64 y (fma.f64 y 1/200 x)))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 y (.f64 1/200 (fma.f64 y 1/200 x)) (.f64 x x)))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 (.f64 y 1/200) (fma.f64 y 1/200 x) (.f64 x x)))
(.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y 1/200))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y 1/200))))
(.f64 (+.f64 (sqrt.f64 (.f64 y 1/200)) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y 1/200))))
(/.f64 1 (/.f64 (+.f64 x (.f64 y 1/200)) (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000))))
(fma.f64 -1/200 y x)
(/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 y 1/200) (+.f64 x (.f64 y 1/200)))) (-.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/8000000))))
(.f64 (-.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/8000000)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y 1/200) (+.f64 x (*.f64 y 1/200))))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 x x (.f64 1/200 (.f64 y (fma.f64 y 1/200 x)))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 y (.f64 1/200 (fma.f64 y 1/200 x)) (.f64 x x)))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 (.f64 y 1/200) (fma.f64 y 1/200 x) (.f64 x x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)) (+.f64 x (.f64 y 1/200)))
(fma.f64 -1/200 y x)
(/.f64 (-.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/8000000)) (fma.f64 x x (.f64 (.f64 y 1/200) (+.f64 x (.f64 y 1/200)))))
(.f64 (-.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/8000000)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y 1/200) (+.f64 x (*.f64 y 1/200))))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 x x (.f64 1/200 (.f64 y (fma.f64 y 1/200 x)))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 y (.f64 1/200 (fma.f64 y 1/200 x)) (.f64 x x)))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 (.f64 y 1/200) (fma.f64 y 1/200 x) (.f64 x x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y -1/200) (.f64 y -1/200))) (-.f64 x (*.f64 y -1/200)))
(fma.f64 -1/200 y x)
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y -1/200) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 y -1/200) (.f64 y -1/200)) (.f64 x (*.f64 y -1/200)))))
(.f64 (-.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/8000000)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y 1/200) (+.f64 x (*.f64 y 1/200))))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 x x (.f64 1/200 (.f64 y (fma.f64 y 1/200 x)))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 y (.f64 1/200 (fma.f64 y 1/200 x)) (.f64 x x)))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 (.f64 y 1/200) (fma.f64 y 1/200 x) (.f64 x x)))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000))) (neg.f64 (+.f64 x (.f64 y 1/200))))
(fma.f64 -1/200 y x)
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/8000000))) (neg.f64 (fma.f64 x x (.f64 (.f64 y 1/200) (+.f64 x (.f64 y 1/200))))))
(.f64 (-.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/8000000)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y 1/200) (+.f64 x (*.f64 y 1/200))))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 x x (.f64 1/200 (.f64 y (fma.f64 y 1/200 x)))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 y (.f64 1/200 (fma.f64 y 1/200 x)) (.f64 x x)))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 (.f64 y 1/200) (fma.f64 y 1/200 x) (.f64 x x)))
(pow.f64 (+.f64 x (*.f64 y -1/200)) 1)
(fma.f64 -1/200 y x)
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 y -1/200))) 2)
(fma.f64 -1/200 y x)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) 3)
(fma.f64 -1/200 y x)
(pow.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 3) 1/3)
(fma.f64 -1/200 y x)
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 2))
(fma.f64 -1/200 y x)
(log.f64 (exp.f64 (+.f64 x (*.f64 y -1/200))))
(fma.f64 -1/200 y x)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 y -1/200)))))
(fma.f64 -1/200 y x)
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 3))
(fma.f64 -1/200 y x)
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 y -1/200))))
(fma.f64 -1/200 y x)
(exp.f64 (log.f64 (+.f64 x (*.f64 y -1/200))))
(fma.f64 -1/200 y x)
(exp.f64 (.f64 (log.f64 (+.f64 x (.f64 y -1/200))) 1))
(fma.f64 -1/200 y x)
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 y -1/200))))
(fma.f64 -1/200 y x)
(fma.f64 1 x (*.f64 y -1/200))
(fma.f64 -1/200 y x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y -1/200))
(fma.f64 -1/200 y x)
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 y -1/200))
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 -1/200 y))
(fma.f64 -1/200 y (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x)))

localize4.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(fma.f64 y -1/200 x)

Compiler

Compiled 9 to 5 computations (44.4% saved)

series1.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(fma.f64 y -1/200 x)
0.0ms	y	@	0	(fma.f64 y -1/200 x)
0.0ms	x	@	0	(fma.f64 y -1/200 x)
0.0ms	x	@	-inf	(fma.f64 y -1/200 x)
0.0ms	y	@	inf	(fma.f64 y -1/200 x)

rewrite50.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1134×	`add-sqr-sqrt`
1114×	`*-un-lft-identity`
1062×	`pow1`
1038×	`add-cube-cbrt`
1028×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	121	9
2	1365	9

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(fma.f64 y -1/200 x)

Outputs

((+.f64 x (*.f64 y -1/200)) (+.f64 (*.f64 y -1/200) x) (+.f64 (*.f64 (*.f64 y -1/200) 1) x) (-.f64 (+.f64 1 (fma.f64 y -1/200 x)) 1) (*.f64 (fma.f64 y -1/200 x) 1) (*.f64 1 (fma.f64 y -1/200 x)) (*.f64 (sqrt.f64 (fma.f64 y -1/200 x)) (sqrt.f64 (fma.f64 y -1/200 x))) (*.f64 (cbrt.f64 (fma.f64 y -1/200 x)) (pow.f64 (cbrt.f64 (fma.f64 y -1/200 x)) 2)) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/200 x)) 2) (cbrt.f64 (fma.f64 y -1/200 x))) (/.f64 (-.f64 (*.f64 (*.f64 y -1/200) (*.f64 y -1/200)) (*.f64 x x)) (-.f64 (*.f64 y -1/200) x)) (/.f64 (+.f64 (pow.f64 (*.f64 y -1/200) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y -1/200) (*.f64 y -1/200)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y -1/200) x)))) (pow.f64 (fma.f64 y -1/200 x) 1) (pow.f64 (sqrt.f64 (fma.f64 y -1/200 x)) 2) (pow.f64 (cbrt.f64 (fma.f64 y -1/200 x)) 3) (pow.f64 (pow.f64 (fma.f64 y -1/200 x) 3) 1/3) (sqrt.f64 (pow.f64 (fma.f64 y -1/200 x) 2)) (log.f64 (exp.f64 (fma.f64 y -1/200 x))) (cbrt.f64 (pow.f64 (fma.f64 y -1/200 x) 3)) (expm1.f64 (log1p.f64 (fma.f64 y -1/200 x))) (exp.f64 (log.f64 (fma.f64 y -1/200 x))) (log1p.f64 (expm1.f64 (fma.f64 y -1/200 x))))

simplify58.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1114×	`fma-def`
1042×	`associate-r`
850×	`associate-l`
788×	`associate-/r/`
782×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	433
1	147	425
2	639	425
3	3205	421
4	7144	421

Stop Event

1×	node limit

Counts

45 → 29

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
x
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
x
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 x (*.f64 y -1/200))
(+.f64 (*.f64 y -1/200) x)
(+.f64 (.f64 (.f64 y -1/200) 1) x)
(-.f64 (+.f64 1 (fma.f64 y -1/200 x)) 1)
(*.f64 (fma.f64 y -1/200 x) 1)
(*.f64 1 (fma.f64 y -1/200 x))
(*.f64 (sqrt.f64 (fma.f64 y -1/200 x)) (sqrt.f64 (fma.f64 y -1/200 x)))
(*.f64 (cbrt.f64 (fma.f64 y -1/200 x)) (pow.f64 (cbrt.f64 (fma.f64 y -1/200 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/200 x)) 2) (cbrt.f64 (fma.f64 y -1/200 x)))
(/.f64 (-.f64 (.f64 (.f64 y -1/200) (.f64 y -1/200)) (.f64 x x)) (-.f64 (*.f64 y -1/200) x))
(/.f64 (+.f64 (pow.f64 (.f64 y -1/200) 3) (pow.f64 x 3)) (+.f64 (.f64 (.f64 y -1/200) (.f64 y -1/200)) (-.f64 (.f64 x x) (.f64 (*.f64 y -1/200) x))))
(pow.f64 (fma.f64 y -1/200 x) 1)
(pow.f64 (sqrt.f64 (fma.f64 y -1/200 x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 y -1/200 x)) 3)
(pow.f64 (pow.f64 (fma.f64 y -1/200 x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 y -1/200 x) 2))
(log.f64 (exp.f64 (fma.f64 y -1/200 x)))
(cbrt.f64 (pow.f64 (fma.f64 y -1/200 x) 3))
(expm1.f64 (log1p.f64 (fma.f64 y -1/200 x)))
(exp.f64 (log.f64 (fma.f64 y -1/200 x)))
(log1p.f64 (expm1.f64 (fma.f64 y -1/200 x)))

Outputs
x
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
x
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
x
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 x (*.f64 y -1/200))
(fma.f64 -1/200 y x)
(+.f64 (*.f64 y -1/200) x)
(fma.f64 -1/200 y x)
(+.f64 (.f64 (.f64 y -1/200) 1) x)
(fma.f64 -1/200 y x)
(-.f64 (+.f64 1 (fma.f64 y -1/200 x)) 1)
(fma.f64 -1/200 y x)
(*.f64 (fma.f64 y -1/200 x) 1)
(fma.f64 -1/200 y x)
(*.f64 1 (fma.f64 y -1/200 x))
(fma.f64 -1/200 y x)
(*.f64 (sqrt.f64 (fma.f64 y -1/200 x)) (sqrt.f64 (fma.f64 y -1/200 x)))
(fma.f64 -1/200 y x)
(*.f64 (cbrt.f64 (fma.f64 y -1/200 x)) (pow.f64 (cbrt.f64 (fma.f64 y -1/200 x)) 2))
(fma.f64 -1/200 y x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/200 x)) 2) (cbrt.f64 (fma.f64 y -1/200 x)))
(fma.f64 -1/200 y x)
(/.f64 (-.f64 (.f64 (.f64 y -1/200) (.f64 y -1/200)) (.f64 x x)) (-.f64 (*.f64 y -1/200) x))
(fma.f64 -1/200 y x)
(/.f64 (+.f64 (pow.f64 (.f64 y -1/200) 3) (pow.f64 x 3)) (+.f64 (.f64 (.f64 y -1/200) (.f64 y -1/200)) (-.f64 (.f64 x x) (.f64 (*.f64 y -1/200) x))))
(/.f64 (+.f64 (pow.f64 (.f64 -1/200 y) 3) (pow.f64 x 3)) (+.f64 (.f64 (.f64 y y) 1/40000) (.f64 x (-.f64 x (*.f64 -1/200 y)))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 y 1/200)) (.f64 y (*.f64 1/40000 y))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 y 1/200)) (.f64 y (*.f64 y 1/40000))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8000000 (pow.f64 x 3)) (fma.f64 x (fma.f64 y 1/200 x) (.f64 y (.f64 y 1/40000))))
(pow.f64 (fma.f64 y -1/200 x) 1)
(fma.f64 -1/200 y x)
(pow.f64 (sqrt.f64 (fma.f64 y -1/200 x)) 2)
(fma.f64 -1/200 y x)
(pow.f64 (cbrt.f64 (fma.f64 y -1/200 x)) 3)
(fma.f64 -1/200 y x)
(pow.f64 (pow.f64 (fma.f64 y -1/200 x) 3) 1/3)
(fma.f64 -1/200 y x)
(sqrt.f64 (pow.f64 (fma.f64 y -1/200 x) 2))
(fma.f64 -1/200 y x)
(log.f64 (exp.f64 (fma.f64 y -1/200 x)))
(fma.f64 -1/200 y x)
(cbrt.f64 (pow.f64 (fma.f64 y -1/200 x) 3))
(fma.f64 -1/200 y x)
(expm1.f64 (log1p.f64 (fma.f64 y -1/200 x)))
(fma.f64 -1/200 y x)
(exp.f64 (log.f64 (fma.f64 y -1/200 x)))
(fma.f64 -1/200 y x)
(log1p.f64 (expm1.f64 (fma.f64 y -1/200 x)))
(fma.f64 -1/200 y x)

eval37.0ms (2%)

Compiler: Compiled 1545 to 998 computations (35.4% saved)

prune22.0ms (1.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	137	2	139
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	137	5	142

Accurracy

100.0%

Counts

142 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y -1/200 x)
✓	100.0%	(-.f64 x (/.f64 y 200))
✓	99.9%	(+.f64 x (*.f64 -1/200 y))
▶	52.7%	(*.f64 -1/200 y)
	48.3%	x

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize3.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
	99.8%	(*.f64 -1/200 y)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval2.0ms (0.1%)

Compiler: Compiled 85 to 69 computations (18.8% saved)

prune5.0ms (0.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	14	5	19

Accurracy

100.0%

Counts

19 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y -1/200 x)
✓	100.0%	(-.f64 x (/.f64 y 200))
✓	99.9%	(+.f64 x (*.f64 -1/200 y))
✓	52.7%	(*.f64 -1/200 y)
	48.3%	x

Compiler

Compiled 28 to 20 computations (28.6% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	4	4
Total	5	5

Accurracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y -1/200 x)
✓	100.0%	(-.f64 x (/.f64 y 200))
✓	99.9%	(+.f64 x (*.f64 -1/200 y))
✓	52.7%	(*.f64 -1/200 y)
	48.3%	x

Compiler

Compiled 28 to 20 computations (28.6% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	4	4
Total	5	5

Accurracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y -1/200 x)
✓	100.0%	(-.f64 x (/.f64 y 200))
✓	99.9%	(+.f64 x (*.f64 -1/200 y))
✓	52.7%	(*.f64 -1/200 y)
	48.3%	x

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes21.0ms (1.1%)

Counts

5 → 1

Calls

Call 1

Inputs
x
(*.f64 -1/200 y)
(+.f64 x (*.f64 -1/200 y))
(-.f64 x (/.f64 y 200))
(fma.f64 y -1/200 x)

Outputs
(-.f64 x (/.f64 y 200))

Calls

4 calls:

7.0ms	(-.f64 x (/.f64 y 200))
4.0ms	(/.f64 y 200)
4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(-.f64 x (/.f64 y 200))`
100.0%	1	`(/.f64 y 200)`

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes8.0ms (0.4%)

Counts

3 → 1

Calls

Call 1

Inputs
x
(*.f64 -1/200 y)
(+.f64 x (*.f64 -1/200 y))

Outputs
(+.f64 x (*.f64 -1/200 y))

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes25.0ms (1.3%)

Accuracy

Total -48.9b remaining (-380.2%)

Threshold costs -48.9b (-380.2%)

Counts

2 → 5

Calls

Call 1

Inputs
x
(*.f64 -1/200 y)

Outputs
x
(*.f64 -1/200 y)
x
(*.f64 -1/200 y)
x

Calls

2 calls:

14.0ms	x
11.0ms	y

Results

Accuracy	Segments	Branch
79.9%	5	`x`
77.2%	3	`y`

Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch59.0ms (3.2%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	37848180692823816.0	5.309125165292514e+29
10.0ms	-1.7083106983352315e-24	-3.078086590069584e-25
12.0ms	-28576.18425728732	-10.874901030033286
23.0ms	-8.987761736141724e+45	-1.2709134972642662e+42

Results

51.0ms

512×

body

256

valid

Compiler

Compiled 332 to 265 computations (20.2% saved)

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	80
1	35	80
2	45	80
3	55	80
4	62	80
5	67	80
6	68	80
7	69	80

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 y 200))
(+.f64 x (*.f64 -1/200 y))
(if (<=.f64 x -32000000000000001436342805698429337137577984) x (if (<=.f64 x -330) (.f64 -1/200 y) (if (<=.f64 x -1742245718635205/2722258935367507707706996859454145691648) x (if (<=.f64 x 205000000000000000) (.f64 -1/200 y) x))))
x

Outputs
(-.f64 x (/.f64 y 200))
(+.f64 x (*.f64 -1/200 y))
(+.f64 x (*.f64 y -1/200))
(if (<=.f64 x -32000000000000001436342805698429337137577984) x (if (<=.f64 x -330) (.f64 -1/200 y) (if (<=.f64 x -1742245718635205/2722258935367507707706996859454145691648) x (if (<=.f64 x 205000000000000000) (.f64 -1/200 y) x))))
(if (<=.f64 x -32000000000000001436342805698429337137577984) x (if (<=.f64 x -330) (.f64 y -1/200) (if (<=.f64 x -1742245718635205/2722258935367507707706996859454145691648) x (if (<=.f64 x 205000000000000000) (.f64 y -1/200) x))))
x

Compiler

Compiled 44 to 30 computations (31.8% saved)

soundness0.0ms (0%)

end61.0ms (3.3%)

Compiler: Compiled 38 to 24 computations (36.8% saved)

Iter	Nodes	Cost
0	9	26
1	14	26
2	26	26
3	47	26
4	71	26
5	117	18
6	251	18
7	380	18
8	548	18
9	590	18
10	592	18
0	2	2

Iter	Nodes	Cost
0	7	13
1	10	13
2	17	13
3	28	13
4	42	13
5	66	9
6	125	9
7	169	9
8	224	9
9	301	9
10	384	9
11	405	9
12	408	9

Iter	Nodes	Cost
0	9	26
1	14	26
2	26	26
3	47	26
4	71	26
5	117	18
6	251	18
7	380	18
8	548	18
9	590	18
10	592	18
0	2	2

Iter	Nodes	Cost
0	7	13
1	10	13
2	17	13
3	28	13
4	42	13
5	66	9
6	125	9
7	169	9
8	224	9
9	301	9
10	384	9
11	405	9
12	408	9

Details

analyze74.0ms (4%)

sample1.1s (57.3%)

preprocess60.0ms (3.2%)

simplify24.0ms (1.3%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

series2.0ms (0.1%)

rewrite73.0ms (3.9%)

simplify62.0ms (3.3%)

localize5.0ms (0.3%)

series1.0ms (0%)

rewrite65.0ms (3.5%)

simplify57.0ms (3%)

localize4.0ms (0.2%)

series1.0ms (0.1%)

rewrite50.0ms (2.7%)

simplify58.0ms (3.1%)

eval37.0ms (2%)

prune22.0ms (1.2%)

localize3.0ms (0.2%)

eval2.0ms (0.1%)

prune5.0ms (0.2%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes21.0ms (1.1%)

regimes8.0ms (0.4%)

regimes25.0ms (1.3%)

bsearch59.0ms (3.2%)

simplify7.0ms (0.4%)

soundness0.0ms (0%)

end61.0ms (3.3%)

Profiling

Iter	Nodes	Cost
0	9	26
1	14	26
2	26	26
3	47	26
4	71	26
5	117	18
6	251	18
7	380	18
8	548	18
9	590	18
10	592	18
0	2	2

Iter	Nodes	Cost
0	7	13
1	10	13
2	17	13
3	28	13
4	42	13
5	66	9
6	125	9
7	169	9
8	224	9
9	301	9
10	384	9
11	405	9
12	408	9