Details

analyze70.0ms (4.8%)

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)

sample753.0ms (51.9%)

Results

738.0ms

8256×

body

256

valid

Bogosity

preprocess14.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

4×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	11	26
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 500))
(+.f64 y (/.f64 x 500))

Outputs
(+.f64 x (/.f64 y 500))
(+.f64 y (/.f64 x 500))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify12.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	8	13

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(+.f64 x (/.f64 y 500))

Outputs
(+.f64 x (/.f64 y 500))

eval0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.01%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.01%	(+.f64 x (/.f64 y 500))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 x (/.f64 y 500))

Compiler

Compiled 13 to 8 computations (38.5% saved)

series1.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(+.f64 x (/.f64 y 500))
0.0ms	x	@	inf	(+.f64 x (/.f64 y 500))
0.0ms	x	@	0	(+.f64 x (/.f64 y 500))
0.0ms	y	@	0	(+.f64 x (/.f64 y 500))
0.0ms	y	@	-inf	(+.f64 x (/.f64 y 500))

rewrite97.0ms (6.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1718×	`add-sqr-sqrt`
1682×	`*-un-lft-identity`
1592×	`add-cube-cbrt`
1578×	`add-cbrt-cube`
156×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	158	9
2	2090	9

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

Inputs
(+.f64 x (/.f64 y 500))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y 1/500 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y 1/500))) (/.f64 (.f64 (.f64 y y) 1/250000) (-.f64 x (.f64 y 1/500))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 y 1/500 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 y 1/500 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 y 1/500 x)) (sqrt.f64 (fma.f64 y 1/500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 y 1/500 x)) (pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 2) (cbrt.f64 (fma.f64 y 1/500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/250000)) (/.f64 1 (-.f64 x (.f64 y 1/500))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/125000000)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y 1/500) (-.f64 (.f64 y 1/500) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (.f64 y 1/500)) (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/250000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 y 1/500) (-.f64 (.f64 y 1/500) x))) (+.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/125000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/250000)) (-.f64 x (.f64 y 1/500)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/125000000)) (fma.f64 x x (.f64 (.f64 y 1/500) (-.f64 (.f64 y 1/500) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/125000000)) (+.f64 (.f64 (.f64 y y) 1/250000) (-.f64 (.f64 x x) (.f64 x (.f64 y 1/500)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 y y) 1/250000) (.f64 x x)) (-.f64 (.f64 y 1/500) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/250000))) (neg.f64 (-.f64 x (.f64 y 1/500))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/125000000))) (neg.f64 (fma.f64 x x (.f64 (.f64 y 1/500) (-.f64 (.f64 y 1/500) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y 1/500 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y 1/500 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y 1/500 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y 1/500 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y 1/500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y 1/500 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y 1/500 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y 1/500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y 1/500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 y 1/500 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y 1/500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1/500 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (.f64 y 1/500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 y 1/500) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 y 1/500)) (sqrt.f64 (.f64 y 1/500)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 y 1/500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 y 1/500)) 2) (cbrt.f64 (.f64 y 1/500)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 y 1/500))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y 1/500 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y 1/500))) (/.f64 (*.f64 (*.f64 y y) 1/250000) (-.f64 x (*.f64 y 1/500))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y 1/500 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y 1/500 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y 1/500 x)) (sqrt.f64 (fma.f64 y 1/500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y 1/500 x)) (pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 2) (cbrt.f64 (fma.f64 y 1/500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/250000)) (/.f64 1 (-.f64 x (*.f64 y 1/500))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/125000000)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y 1/500) (-.f64 (*.f64 y 1/500) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 y 1/500)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/250000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y 1/500) (-.f64 (*.f64 y 1/500) x))) (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/125000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/250000)) (-.f64 x (*.f64 y 1/500)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/125000000)) (fma.f64 x x (*.f64 (*.f64 y 1/500) (-.f64 (*.f64 y 1/500) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/125000000)) (+.f64 (*.f64 (*.f64 y y) 1/250000) (-.f64 (*.f64 x x) (*.f64 x (*.f64 y 1/500)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y y) 1/250000) (*.f64 x x)) (-.f64 (*.f64 y 1/500) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/250000))) (neg.f64 (-.f64 x (*.f64 y 1/500))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/125000000))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y 1/500) (-.f64 (*.f64 y 1/500) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y 1/500 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y 1/500 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y 1/500 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y 1/500 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y 1/500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y 1/500 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y 1/500 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y 1/500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y 1/500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y 1/500 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y 1/500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1/500 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y 1/500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y 1/500) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y 1/500)) (sqrt.f64 (*.f64 y 1/500)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 1/500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 1/500)) 2) (cbrt.f64 (*.f64 y 1/500)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 y 1/500))))))

simplify56.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

1212×	`associate-r`
994×	`associate-l`
984×	`associate-/r*`
644×	`distribute-lft-neg-in`
634×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	96	1034
1	231	960
2	838	916
3	4370	916

Stop Event

1×	node limit

Counts

60 → 49

Calls

Call 1

Inputs
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
x
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
x
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
x
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y 1/500 x))) 1)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y 1/500))) (/.f64 (.f64 (.f64 y y) 1/250000) (-.f64 x (*.f64 y 1/500))))
(*.f64 (fma.f64 y 1/500 x) 1)
(*.f64 1 (fma.f64 y 1/500 x))
(*.f64 (sqrt.f64 (fma.f64 y 1/500 x)) (sqrt.f64 (fma.f64 y 1/500 x)))
(*.f64 (cbrt.f64 (fma.f64 y 1/500 x)) (pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 2) (cbrt.f64 (fma.f64 y 1/500 x)))
(.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/250000)) (/.f64 1 (-.f64 x (*.f64 y 1/500))))
(.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/125000000)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y 1/500) (-.f64 (*.f64 y 1/500) x)))))
(/.f64 1 (/.f64 (-.f64 x (.f64 y 1/500)) (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/250000))))
(/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 y 1/500) (-.f64 (.f64 y 1/500) x))) (+.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/125000000))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/250000)) (-.f64 x (.f64 y 1/500)))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/125000000)) (fma.f64 x x (.f64 (.f64 y 1/500) (-.f64 (.f64 y 1/500) x))))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/125000000)) (+.f64 (.f64 (.f64 y y) 1/250000) (-.f64 (.f64 x x) (.f64 x (.f64 y 1/500)))))
(/.f64 (-.f64 (.f64 (.f64 y y) 1/250000) (.f64 x x)) (-.f64 (.f64 y 1/500) x))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/250000))) (neg.f64 (-.f64 x (.f64 y 1/500))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/125000000))) (neg.f64 (fma.f64 x x (.f64 (.f64 y 1/500) (-.f64 (.f64 y 1/500) x)))))
(pow.f64 (fma.f64 y 1/500 x) 1)
(pow.f64 (sqrt.f64 (fma.f64 y 1/500 x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 3)
(pow.f64 (pow.f64 (fma.f64 y 1/500 x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 y 1/500 x) 2))
(log.f64 (exp.f64 (fma.f64 y 1/500 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y 1/500 x))))
(cbrt.f64 (pow.f64 (fma.f64 y 1/500 x) 3))
(expm1.f64 (log1p.f64 (fma.f64 y 1/500 x)))
(exp.f64 (log.f64 (fma.f64 y 1/500 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y 1/500 x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 y 1/500 x)))
(fma.f64 y 1/500 x)
(fma.f64 1 x (*.f64 y 1/500))
(fma.f64 1 (*.f64 y 1/500) x)
(fma.f64 (sqrt.f64 (.f64 y 1/500)) (sqrt.f64 (.f64 y 1/500)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 1/500))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y 1/500)) 2) (cbrt.f64 (.f64 y 1/500)) x)
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 y 1/500))

Outputs
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
x
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
x
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
x
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y 1/500 x))) 1)
(fma.f64 1/500 y x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y 1/500))) (/.f64 (.f64 (.f64 y y) 1/250000) (-.f64 x (*.f64 y 1/500))))
(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 1/250000))) (-.f64 x (.f64 1/500 y)))
(/.f64 (fma.f64 x x (.f64 (.f64 y y) -1/250000)) (+.f64 x (*.f64 y -1/500)))
(/.f64 (fma.f64 y (.f64 y -1/250000) (.f64 x x)) (fma.f64 y -1/500 x))
(*.f64 (fma.f64 y 1/500 x) 1)
(fma.f64 1/500 y x)
(*.f64 1 (fma.f64 y 1/500 x))
(fma.f64 1/500 y x)
(*.f64 (sqrt.f64 (fma.f64 y 1/500 x)) (sqrt.f64 (fma.f64 y 1/500 x)))
(fma.f64 1/500 y x)
(*.f64 (cbrt.f64 (fma.f64 y 1/500 x)) (pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 2))
(fma.f64 1/500 y x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 2) (cbrt.f64 (fma.f64 y 1/500 x)))
(fma.f64 1/500 y x)
(.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/250000)) (/.f64 1 (-.f64 x (*.f64 y 1/500))))
(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 1/250000))) (-.f64 x (.f64 1/500 y)))
(/.f64 (fma.f64 x x (.f64 (.f64 y y) -1/250000)) (+.f64 x (*.f64 y -1/500)))
(/.f64 (fma.f64 y (.f64 y -1/250000) (.f64 x x)) (fma.f64 y -1/500 x))
(.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/125000000)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y 1/500) (-.f64 (*.f64 y 1/500) x)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/125000000)) 1) (fma.f64 x x (.f64 (.f64 1/500 y) (-.f64 (*.f64 1/500 y) x))))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 1/500 y) (-.f64 (*.f64 1/500 y) x))))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 y (.f64 (fma.f64 y -1/500 x) -1/500) (.f64 x x)))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 y (.f64 y 1/250000) (.f64 x (fma.f64 y -1/500 x))))
(/.f64 1 (/.f64 (-.f64 x (.f64 y 1/500)) (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/250000))))
(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 1/250000))) (-.f64 x (.f64 1/500 y)))
(/.f64 (fma.f64 x x (.f64 (.f64 y y) -1/250000)) (+.f64 x (*.f64 y -1/500)))
(/.f64 (fma.f64 y (.f64 y -1/250000) (.f64 x x)) (fma.f64 y -1/500 x))
(/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 y 1/500) (-.f64 (.f64 y 1/500) x))) (+.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/125000000))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/125000000)) 1) (fma.f64 x x (.f64 (.f64 1/500 y) (-.f64 (*.f64 1/500 y) x))))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 1/500 y) (-.f64 (*.f64 1/500 y) x))))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 y (.f64 (fma.f64 y -1/500 x) -1/500) (.f64 x x)))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 y (.f64 y 1/250000) (.f64 x (fma.f64 y -1/500 x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/250000)) (-.f64 x (.f64 y 1/500)))
(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 1/250000))) (-.f64 x (.f64 1/500 y)))
(/.f64 (fma.f64 x x (.f64 (.f64 y y) -1/250000)) (+.f64 x (*.f64 y -1/500)))
(/.f64 (fma.f64 y (.f64 y -1/250000) (.f64 x x)) (fma.f64 y -1/500 x))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/125000000)) (fma.f64 x x (.f64 (.f64 y 1/500) (-.f64 (.f64 y 1/500) x))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/125000000)) 1) (fma.f64 x x (.f64 (.f64 1/500 y) (-.f64 (*.f64 1/500 y) x))))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 1/500 y) (-.f64 (*.f64 1/500 y) x))))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 y (.f64 (fma.f64 y -1/500 x) -1/500) (.f64 x x)))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 y (.f64 y 1/250000) (.f64 x (fma.f64 y -1/500 x))))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/125000000)) (+.f64 (.f64 (.f64 y y) 1/250000) (-.f64 (.f64 x x) (.f64 x (.f64 y 1/500)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/125000000)) 1) (fma.f64 x x (.f64 (.f64 1/500 y) (-.f64 (*.f64 1/500 y) x))))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 1/500 y) (-.f64 (*.f64 1/500 y) x))))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 y (.f64 (fma.f64 y -1/500 x) -1/500) (.f64 x x)))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 y (.f64 y 1/250000) (.f64 x (fma.f64 y -1/500 x))))
(/.f64 (-.f64 (.f64 (.f64 y y) 1/250000) (.f64 x x)) (-.f64 (.f64 y 1/500) x))
(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 1/250000))) (-.f64 x (.f64 1/500 y)))
(/.f64 (fma.f64 x x (.f64 (.f64 y y) -1/250000)) (+.f64 x (*.f64 y -1/500)))
(/.f64 (fma.f64 y (.f64 y -1/250000) (.f64 x x)) (fma.f64 y -1/500 x))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/250000))) (neg.f64 (-.f64 x (.f64 y 1/500))))
(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 1/250000))) (-.f64 x (.f64 1/500 y)))
(/.f64 (fma.f64 x x (.f64 (.f64 y y) -1/250000)) (+.f64 x (*.f64 y -1/500)))
(/.f64 (fma.f64 y (.f64 y -1/250000) (.f64 x x)) (fma.f64 y -1/500 x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/125000000))) (neg.f64 (fma.f64 x x (.f64 (.f64 y 1/500) (-.f64 (.f64 y 1/500) x)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/125000000)) 1) (fma.f64 x x (.f64 (.f64 1/500 y) (-.f64 (*.f64 1/500 y) x))))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 1/500 y) (-.f64 (*.f64 1/500 y) x))))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 y (.f64 (fma.f64 y -1/500 x) -1/500) (.f64 x x)))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 y (.f64 y 1/250000) (.f64 x (fma.f64 y -1/500 x))))
(pow.f64 (fma.f64 y 1/500 x) 1)
(fma.f64 1/500 y x)
(pow.f64 (sqrt.f64 (fma.f64 y 1/500 x)) 2)
(fma.f64 1/500 y x)
(pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 3)
(fma.f64 1/500 y x)
(pow.f64 (pow.f64 (fma.f64 y 1/500 x) 3) 1/3)
(fma.f64 1/500 y x)
(sqrt.f64 (pow.f64 (fma.f64 y 1/500 x) 2))
(fma.f64 1/500 y x)
(log.f64 (exp.f64 (fma.f64 y 1/500 x)))
(fma.f64 1/500 y x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y 1/500 x))))
(fma.f64 1/500 y x)
(cbrt.f64 (pow.f64 (fma.f64 y 1/500 x) 3))
(fma.f64 1/500 y x)
(expm1.f64 (log1p.f64 (fma.f64 y 1/500 x)))
(fma.f64 1/500 y x)
(exp.f64 (log.f64 (fma.f64 y 1/500 x)))
(fma.f64 1/500 y x)
(exp.f64 (*.f64 (log.f64 (fma.f64 y 1/500 x)) 1))
(fma.f64 1/500 y x)
(log1p.f64 (expm1.f64 (fma.f64 y 1/500 x)))
(fma.f64 1/500 y x)
(fma.f64 y 1/500 x)
(fma.f64 1/500 y x)
(fma.f64 1 x (*.f64 y 1/500))
(fma.f64 1/500 y x)
(fma.f64 1 (*.f64 y 1/500) x)
(fma.f64 1/500 y x)
(fma.f64 (sqrt.f64 (.f64 y 1/500)) (sqrt.f64 (.f64 y 1/500)) x)
(fma.f64 1/500 y x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 1/500))
(fma.f64 1/500 y x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y 1/500)) 2) (cbrt.f64 (.f64 y 1/500)) x)
(fma.f64 1/500 y x)
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 y 1/500))
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 1/500 y))
(fma.f64 1/500 y (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x)))

eval26.0ms (1.8%)

Compiler: Compiled 578 to 359 computations (37.9% saved)

prune7.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	46	3	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	4	50

Error

Counts

50 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.13%	(fma.f64 y 1/500 x)
✓	0.01%	(+.f64 x (/.f64 y 500))
▶	46.53%	(*.f64 1/500 y)
	52.89%	x

Compiler

Compiled 21 to 15 computations (28.6% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.22%	(*.f64 1/500 y)

Compiler

Compiled 7 to 5 computations (28.6% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(*.f64 1/500 y)
0.0ms	y	@	-inf	(*.f64 1/500 y)
0.0ms	y	@	0	(*.f64 1/500 y)

rewrite87.0ms (6%)

Algorithm

1×	batch-egg-rewrite

Rules

920×	`associate-l`
902×	`add-sqr-sqrt`
884×	`*-un-lft-identity`
842×	`pow1`
826×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	100	7
2	1110	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 1/500 y)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 1/500 y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/500 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 1/500 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/500 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 1/500 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 y (.f64 y 1/250000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/500) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 1/500 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/500 y)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/500 y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/500 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/500 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/500 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/500 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 y (*.f64 y 1/250000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/500) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/500 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/500 y)))))))

simplify63.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

858×	`log-prod`
794×	`associate-+r-`
788×	`+-commutative`
696×	`fma-def`
682×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	143
1	84	77
2	260	77
3	1809	77
4	3980	77
5	6430	77

Stop Event

1×	node limit

Counts

11 → 13

Calls

Call 1

Inputs
(-.f64 (+.f64 (*.f64 1/500 y) 1) 1)
(pow.f64 (*.f64 1/500 y) 1)
(pow.f64 (sqrt.f64 (*.f64 1/500 y)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/500 y)) 3)
(pow.f64 (pow.f64 (*.f64 1/500 y) 3) 1/3)
(sqrt.f64 (.f64 y (.f64 y 1/250000)))
(log.f64 (pow.f64 (exp.f64 1/500) y))
(cbrt.f64 (pow.f64 (*.f64 1/500 y) 3))
(expm1.f64 (log1p.f64 (*.f64 1/500 y)))
(exp.f64 (log.f64 (*.f64 1/500 y)))
(log1p.f64 (expm1.f64 (*.f64 1/500 y)))

Outputs
(-.f64 (+.f64 (*.f64 1/500 y) 1) 1)
(+.f64 (*.f64 1/500 y) 0)
(*.f64 1/500 y)
(pow.f64 (*.f64 1/500 y) 1)
(+.f64 (*.f64 1/500 y) 0)
(*.f64 1/500 y)
(pow.f64 (sqrt.f64 (*.f64 1/500 y)) 2)
(+.f64 (*.f64 1/500 y) 0)
(*.f64 1/500 y)
(pow.f64 (cbrt.f64 (*.f64 1/500 y)) 3)
(+.f64 (*.f64 1/500 y) 0)
(*.f64 1/500 y)
(pow.f64 (pow.f64 (*.f64 1/500 y) 3) 1/3)
(+.f64 (*.f64 1/500 y) 0)
(*.f64 1/500 y)
(sqrt.f64 (.f64 y (.f64 y 1/250000)))
(+.f64 (*.f64 1/500 y) 0)
(*.f64 1/500 y)
(log.f64 (pow.f64 (exp.f64 1/500) y))
(+.f64 (*.f64 1/500 y) 0)
(*.f64 1/500 y)
(cbrt.f64 (pow.f64 (*.f64 1/500 y) 3))
(+.f64 (*.f64 1/500 y) 0)
(*.f64 1/500 y)
(expm1.f64 (log1p.f64 (*.f64 1/500 y)))
(+.f64 (*.f64 1/500 y) 0)
(*.f64 1/500 y)
(exp.f64 (log.f64 (*.f64 1/500 y)))
(+.f64 (*.f64 1/500 y) 0)
(*.f64 1/500 y)
(log1p.f64 (expm1.f64 (*.f64 1/500 y)))
(+.f64 (*.f64 1/500 y) 0)
(*.f64 1/500 y)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.13%	(fma.f64 y 1/500 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	@	0	(fma.f64 y 1/500 x)
0.0ms	y	@	-inf	(fma.f64 y 1/500 x)
0.0ms	x	@	-inf	(fma.f64 y 1/500 x)
0.0ms	x	@	0	(fma.f64 y 1/500 x)
0.0ms	y	@	inf	(fma.f64 y 1/500 x)

rewrite80.0ms (5.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1132×	`add-sqr-sqrt`
1114×	`*-un-lft-identity`
1062×	`pow1`
1036×	`add-cube-cbrt`
1026×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	121	9
2	1363	9

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(fma.f64 y 1/500 x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y 1/500))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 1/500) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y 1/500) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y 1/500 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y 1/500 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y 1/500 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y 1/500 x)) (sqrt.f64 (fma.f64 y 1/500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y 1/500 x)) (pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 2) (cbrt.f64 (fma.f64 y 1/500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y 1/500) (*.f64 y 1/500)) (*.f64 x x)) (-.f64 (*.f64 y 1/500) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y 1/500) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y 1/500) (*.f64 y 1/500)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y 1/500) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y 1/500 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y 1/500 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y 1/500 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y 1/500 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y 1/500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y 1/500 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y 1/500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y 1/500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y 1/500 x)))))))

simplify62.0ms (4.2%)

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 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
x
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
x
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 x (*.f64 y 1/500))
(+.f64 (*.f64 y 1/500) x)
(+.f64 (.f64 (.f64 y 1/500) 1) x)
(-.f64 (+.f64 1 (fma.f64 y 1/500 x)) 1)
(*.f64 (fma.f64 y 1/500 x) 1)
(*.f64 1 (fma.f64 y 1/500 x))
(*.f64 (sqrt.f64 (fma.f64 y 1/500 x)) (sqrt.f64 (fma.f64 y 1/500 x)))
(*.f64 (cbrt.f64 (fma.f64 y 1/500 x)) (pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 2) (cbrt.f64 (fma.f64 y 1/500 x)))
(/.f64 (-.f64 (.f64 (.f64 y 1/500) (.f64 y 1/500)) (.f64 x x)) (-.f64 (*.f64 y 1/500) x))
(/.f64 (+.f64 (pow.f64 (.f64 y 1/500) 3) (pow.f64 x 3)) (+.f64 (.f64 (.f64 y 1/500) (.f64 y 1/500)) (-.f64 (.f64 x x) (.f64 (*.f64 y 1/500) x))))
(pow.f64 (fma.f64 y 1/500 x) 1)
(pow.f64 (sqrt.f64 (fma.f64 y 1/500 x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 3)
(pow.f64 (pow.f64 (fma.f64 y 1/500 x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 y 1/500 x) 2))
(log.f64 (exp.f64 (fma.f64 y 1/500 x)))
(cbrt.f64 (pow.f64 (fma.f64 y 1/500 x) 3))
(expm1.f64 (log1p.f64 (fma.f64 y 1/500 x)))
(exp.f64 (log.f64 (fma.f64 y 1/500 x)))
(log1p.f64 (expm1.f64 (fma.f64 y 1/500 x)))

Outputs
x
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
x
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
x
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 x (*.f64 y 1/500))
(fma.f64 1/500 y x)
(+.f64 (*.f64 y 1/500) x)
(fma.f64 1/500 y x)
(+.f64 (.f64 (.f64 y 1/500) 1) x)
(fma.f64 1/500 y x)
(-.f64 (+.f64 1 (fma.f64 y 1/500 x)) 1)
(fma.f64 1/500 y x)
(*.f64 (fma.f64 y 1/500 x) 1)
(fma.f64 1/500 y x)
(*.f64 1 (fma.f64 y 1/500 x))
(fma.f64 1/500 y x)
(*.f64 (sqrt.f64 (fma.f64 y 1/500 x)) (sqrt.f64 (fma.f64 y 1/500 x)))
(fma.f64 1/500 y x)
(*.f64 (cbrt.f64 (fma.f64 y 1/500 x)) (pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 2))
(fma.f64 1/500 y x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 2) (cbrt.f64 (fma.f64 y 1/500 x)))
(fma.f64 1/500 y x)
(/.f64 (-.f64 (.f64 (.f64 y 1/500) (.f64 y 1/500)) (.f64 x x)) (-.f64 (*.f64 y 1/500) x))
(fma.f64 1/500 y x)
(/.f64 (+.f64 (pow.f64 (.f64 y 1/500) 3) (pow.f64 x 3)) (+.f64 (.f64 (.f64 y 1/500) (.f64 y 1/500)) (-.f64 (.f64 x x) (.f64 (*.f64 y 1/500) x))))
(/.f64 (+.f64 (pow.f64 (.f64 1/500 y) 3) (pow.f64 x 3)) (+.f64 (.f64 (.f64 y y) 1/250000) (.f64 x (-.f64 x (*.f64 1/500 y)))))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 y -1/500)) (.f64 y (*.f64 1/250000 y))))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 y -1/500)) (.f64 y (*.f64 y 1/250000))))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 x (fma.f64 y -1/500 x) (.f64 y (.f64 y 1/250000))))
(pow.f64 (fma.f64 y 1/500 x) 1)
(fma.f64 1/500 y x)
(pow.f64 (sqrt.f64 (fma.f64 y 1/500 x)) 2)
(fma.f64 1/500 y x)
(pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 3)
(fma.f64 1/500 y x)
(pow.f64 (pow.f64 (fma.f64 y 1/500 x) 3) 1/3)
(fma.f64 1/500 y x)
(sqrt.f64 (pow.f64 (fma.f64 y 1/500 x) 2))
(fma.f64 1/500 y x)
(log.f64 (exp.f64 (fma.f64 y 1/500 x)))
(fma.f64 1/500 y x)
(cbrt.f64 (pow.f64 (fma.f64 y 1/500 x) 3))
(fma.f64 1/500 y x)
(expm1.f64 (log1p.f64 (fma.f64 y 1/500 x)))
(fma.f64 1/500 y x)
(exp.f64 (log.f64 (fma.f64 y 1/500 x)))
(fma.f64 1/500 y x)
(log1p.f64 (expm1.f64 (fma.f64 y 1/500 x)))
(fma.f64 1/500 y x)

eval9.0ms (0.6%)

Compiler: Compiled 355 to 248 computations (30.1% saved)

prune6.0ms (0.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	42	4	46

Error

Counts

46 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.13%	(fma.f64 y 1/500 x)
✓	0.01%	(+.f64 x (/.f64 y 500))
✓	46.53%	(*.f64 1/500 y)
	52.89%	x

Compiler

Compiled 21 to 15 computations (28.6% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.13%	(fma.f64 y 1/500 x)
✓	0.01%	(+.f64 x (/.f64 y 500))
✓	46.53%	(*.f64 1/500 y)
	52.89%	x

Compiler

Compiled 21 to 15 computations (28.6% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.13%	(fma.f64 y 1/500 x)
✓	0.01%	(+.f64 x (/.f64 y 500))
✓	46.53%	(*.f64 1/500 y)
	52.89%	x

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes17.0ms (1.2%)

Counts

4 → 1

Calls

Call 1

Inputs
x
(*.f64 1/500 y)
(+.f64 x (/.f64 y 500))
(fma.f64 y 1/500 x)

Outputs
(+.f64 x (/.f64 y 500))

Calls

4 calls:

4.0ms	y
4.0ms	(+.f64 x (/.f64 y 500))
4.0ms	(/.f64 y 500)
4.0ms	x

Results

Error	Segments	Branch
0.01%	1	`x`
0.01%	1	`y`
0.01%	1	`(+.f64 x (/.f64 y 500))`
0.01%	1	`(/.f64 y 500)`

Compiler

Compiled 33 to 22 computations (33.3% saved)

regimes19.0ms (1.3%)

Accuracy

Total -50b remaining (-418.9%)

Threshold costs -50b (-418.9%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 1/500 y)

Outputs
x
(*.f64 1/500 y)
x

Calls

2 calls:

9.0ms	x
9.0ms	y

Results

Error	Segments	Branch
18.65%	3	`x`
23.35%	3	`y`

Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch20.0ms (1.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.6428227788505893e+22	3.407451547411289e+23
9.0ms	-2.2432092119279184e-50	-4.748086389517066e-51

Results

17.0ms

208×

body

256

valid

Compiler

Compiled 142 to 113 computations (20.4% saved)

simplify4.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`
2×	`if-if-or-not`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	41
1	25	41

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 x (/.f64 y 500))
(if (<=.f64 x -7582485000136117/421249166674228746791672110734681729275580381602196445017243910144) x (if (<=.f64 x 17200000000000000000000) (*.f64 1/500 y) x))
x

Outputs
(+.f64 x (/.f64 y 500))
(if (<=.f64 x -7582485000136117/421249166674228746791672110734681729275580381602196445017243910144) x (if (<=.f64 x 17200000000000000000000) (*.f64 1/500 y) x))
(if (<=.f64 x -7582485000136117/421249166674228746791672110734681729275580381602196445017243910144) x (if (<=.f64 x 17200000000000000000000) (*.f64 y 1/500) x))
x

Compiler

Compiled 25 to 17 computations (32% saved)

soundness0.0ms (0%)

end29.0ms (2%)

Compiler: Compiled 21 to 13 computations (38.1% saved)

Details

analyze70.0ms (4.8%)

sample753.0ms (51.9%)

preprocess14.0ms (0.9%)

simplify12.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.3%)

series1.0ms (0.1%)

rewrite97.0ms (6.7%)

simplify56.0ms (3.9%)

eval26.0ms (1.8%)

prune7.0ms (0.5%)

localize4.0ms (0.3%)

series1.0ms (0%)

rewrite87.0ms (6%)

simplify63.0ms (4.4%)

localize4.0ms (0.3%)

series1.0ms (0.1%)

rewrite80.0ms (5.5%)

simplify62.0ms (4.2%)

eval9.0ms (0.6%)

prune6.0ms (0.4%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes17.0ms (1.2%)

regimes19.0ms (1.3%)

bsearch20.0ms (1.4%)

simplify4.0ms (0.3%)

soundness0.0ms (0%)

end29.0ms (2%)

Profiling