Details

analyze75.0ms (5.4%)

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)

sample820.0ms (58.4%)

Results

809.0ms

8256×

body

256

valid

Bogosity

preprocess15.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	10	14
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)

simplify7.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7

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

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 x (/.f64 y 500))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (/.f64 y 500))

Compiler

Compiled 13 to 8 computations (38.5% saved)

series11.0ms (0.8%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	y	@	0	(+.f64 x (/.f64 y 500))
0.0ms	y	@	inf	(+.f64 x (/.f64 y 500))
0.0ms	x	@	0	(+.f64 x (/.f64 y 500))
0.0ms	x	@	inf	(+.f64 x (/.f64 y 500))
0.0ms	y	@	-inf	(+.f64 x (/.f64 y 500))

rewrite43.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

743×	`pow1_binary64`
701×	`add-log-exp_binary64`
701×	`log1p-expm1-u_binary64`
701×	`expm1-log1p-u_binary64`
688×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	138	5
2	1889	5

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

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

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

Outputs

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

simplify66.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

633×	`fma-neg_binary64`
491×	`cancel-sign-sub-inv_binary64`
417×	`associate-l_binary64`
384×	`associate-r_binary64`
318×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	527
1	226	490
2	749	468
3	4456	468

Stop Event

1×	node limit

Counts

58 → 44

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

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

eval11.0ms (0.8%)

Compiler: Compiled 522 to 328 computations (37.2% saved)

prune8.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	41	3	44
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	4	45

Error

Counts

45 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(fma.f64 y 1/500 x)
✓	0.0b	(+.f64 x (/.f64 y 500))
▶	33.8b	(*.f64 1/500 y)
	29.5b	x

Compiler

Compiled 21 to 15 computations (28.6% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 1/500 y)

Compiler

Compiled 7 to 5 computations (28.6% saved)

series1.0ms (0.1%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(*.f64 1/500 y)
0.0ms	y	@	inf	(*.f64 1/500 y)
0.0ms	y	@	0	(*.f64 1/500 y)

rewrite71.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

345×	`pow1_binary64`
338×	`add-sqr-sqrt_binary64`
329×	`*-un-lft-identity_binary64`
321×	`add-log-exp_binary64`
321×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	80	4
2	873	4

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 1/500 y)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (.f64 1/500 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/500 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 y) 1/1000)) (log.f64 (pow.f64 (exp.f64 y) 1/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) 1/250))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) 1/500))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 1/500 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 1/500 y)) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 1/500 y)) (+.f64 1 (.f64 1/500 y))) (+.f64 1 (.f64 (+.f64 1 (.f64 1/500 y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (+.f64 1 (.f64 1/500 y)) (+.f64 1 (.f64 1/500 y))) 1) (+.f64 (+.f64 1 (.f64 1/500 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/500 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 1/500 y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 y 3) 1/125000000) 1/3)))) (#(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 (sqrt.f64 (.f64 1/500 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (.f64 1/500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 1/500 y)))) (sqrt.f64 (log.f64 (.f64 1/500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 1/500 y))) 2)) (cbrt.f64 (log.f64 (.f64 1/500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 1/500 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 1/500 y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) 1/500))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 y 3) 1/125000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 exp.f64 (.f64 (.f64 3 (log.f64 (.f64 1/500 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/500 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 1/500 y))) 2))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 1/500 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/500 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 y) 1/1000)) (log.f64 (pow.f64 (exp.f64 y) 1/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) 1/250))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) 1/500))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/500 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 1/500 y)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 1/500 y)) (+.f64 1 (*.f64 1/500 y))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 1/500 y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 1/500 y)) (+.f64 1 (*.f64 1/500 y))) 1) (+.f64 (+.f64 1 (*.f64 1/500 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/500 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/500 y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) 1/125000000) 1/3)))) (#(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 (sqrt.f64 (*.f64 1/500 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 1/500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/500 y)))) (sqrt.f64 (log.f64 (*.f64 1/500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/500 y))) 2)) (cbrt.f64 (log.f64 (*.f64 1/500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/500 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 1/500 y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) 1/500))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) 1/125000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 1/500 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/500 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/500 y))) 2))))))

simplify37.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

785×	`times-frac_binary64`
418×	`distribute-rgt-out_binary64`
371×	`fma-neg_binary64`
327×	`fma-def_binary64`
305×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	316
1	192	181
2	592	177
3	3219	177

Stop Event

1×	node limit

Counts

25 → 30

Calls

Call 1

Inputs
(+.f64 (+.f64 1 (*.f64 1/500 y)) -1)
(+.f64 0 (*.f64 1/500 y))
(+.f64 (log.f64 (pow.f64 (exp.f64 y) 1/1000)) (log.f64 (pow.f64 (exp.f64 y) 1/1000)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) 1/250))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) 1/500))))
(-.f64 (+.f64 1 (*.f64 1/500 y)) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 1/500 y)) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 1/500 y)) (+.f64 1 (.f64 1/500 y))) (+.f64 1 (.f64 (+.f64 1 (.f64 1/500 y)) 1))))
(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 1/500 y)) (+.f64 1 (.f64 1/500 y))) 1) (+.f64 (+.f64 1 (.f64 1/500 y)) 1))
(pow.f64 (*.f64 1/500 y) 1)
(pow.f64 (pow.f64 (*.f64 1/500 y) 2) 1/2)
(pow.f64 (*.f64 (pow.f64 y 3) 1/125000000) 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/500 y)) 3)
(pow.f64 (sqrt.f64 (*.f64 1/500 y)) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 1/500 y)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 1/500 y)))) (sqrt.f64 (log.f64 (.f64 1/500 y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 1/500 y))) 2)) (cbrt.f64 (log.f64 (.f64 1/500 y))))
(sqrt.f64 (pow.f64 (*.f64 1/500 y) 2))
(fabs.f64 (*.f64 1/500 y))
(log.f64 (pow.f64 (exp.f64 y) 1/500))
(cbrt.f64 (*.f64 (pow.f64 y 3) 1/125000000))
(expm1.f64 (log1p.f64 (*.f64 1/500 y)))
(log1p.f64 (expm1.f64 (*.f64 1/500 y)))
(exp.f64 (log.f64 (*.f64 1/500 y)))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 1/500 y))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/500 y))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 1/500 y))) 2))

Outputs
(+.f64 (+.f64 1 (*.f64 1/500 y)) -1)
(+.f64 1 (-.f64 (*.f64 1/500 y) 1))
(*.f64 1/500 y)
(+.f64 0 (*.f64 1/500 y))
(+.f64 1 (-.f64 (*.f64 1/500 y) 1))
(*.f64 1/500 y)
(+.f64 (log.f64 (pow.f64 (exp.f64 y) 1/1000)) (log.f64 (pow.f64 (exp.f64 y) 1/1000)))
(+.f64 1 (-.f64 (*.f64 1/500 y) 1))
(*.f64 1/500 y)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) 1/250))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) 1/500))))
(-.f64 (+.f64 1 (*.f64 1/500 y)) 1)
(+.f64 1 (-.f64 (*.f64 1/500 y) 1))
(*.f64 1/500 y)
(/.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 1/500 y)) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 1/500 y)) (+.f64 1 (.f64 1/500 y))) (+.f64 1 (.f64 (+.f64 1 (.f64 1/500 y)) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (.f64 1/500 y)) 3) -1) (fma.f64 (+.f64 1 (.f64 1/500 y)) (+.f64 1 (.f64 1/500 y)) (+.f64 1 (+.f64 1 (.f64 1/500 y)))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/500 y 1) 3)) (fma.f64 (fma.f64 1/500 y 1) (fma.f64 1/500 y 1) (+.f64 (*.f64 1/500 y) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/500 y 1) 3)) (+.f64 1 (*.f64 (fma.f64 1/500 y 1) (fma.f64 1/500 y 2))))
(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 1/500 y)) (+.f64 1 (.f64 1/500 y))) 1) (+.f64 (+.f64 1 (.f64 1/500 y)) 1))
(+.f64 1 (-.f64 (*.f64 1/500 y) 1))
(*.f64 1/500 y)
(pow.f64 (*.f64 1/500 y) 1)
(+.f64 1 (-.f64 (*.f64 1/500 y) 1))
(*.f64 1/500 y)
(pow.f64 (pow.f64 (*.f64 1/500 y) 2) 1/2)
(+.f64 1 (-.f64 (*.f64 1/500 y) 1))
(*.f64 1/500 y)
(pow.f64 (*.f64 (pow.f64 y 3) 1/125000000) 1/3)
(+.f64 1 (-.f64 (*.f64 1/500 y) 1))
(*.f64 1/500 y)
(pow.f64 (cbrt.f64 (*.f64 1/500 y)) 3)
(+.f64 1 (-.f64 (*.f64 1/500 y) 1))
(*.f64 1/500 y)
(pow.f64 (sqrt.f64 (*.f64 1/500 y)) 2)
(+.f64 1 (-.f64 (*.f64 1/500 y) 1))
(*.f64 1/500 y)
(pow.f64 (E.f64) (log.f64 (*.f64 1/500 y)))
(+.f64 1 (-.f64 (*.f64 1/500 y) 1))
(*.f64 1/500 y)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 1/500 y)))) (sqrt.f64 (log.f64 (.f64 1/500 y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 1/500 y))) 2)) (cbrt.f64 (log.f64 (.f64 1/500 y))))
(sqrt.f64 (pow.f64 (*.f64 1/500 y) 2))
(+.f64 1 (-.f64 (*.f64 1/500 y) 1))
(*.f64 1/500 y)
(fabs.f64 (*.f64 1/500 y))
(+.f64 1 (-.f64 (*.f64 1/500 y) 1))
(*.f64 1/500 y)
(log.f64 (pow.f64 (exp.f64 y) 1/500))
(+.f64 1 (-.f64 (*.f64 1/500 y) 1))
(*.f64 1/500 y)
(cbrt.f64 (*.f64 (pow.f64 y 3) 1/125000000))
(+.f64 1 (-.f64 (*.f64 1/500 y) 1))
(*.f64 1/500 y)
(expm1.f64 (log1p.f64 (*.f64 1/500 y)))
(+.f64 1 (-.f64 (*.f64 1/500 y) 1))
(*.f64 1/500 y)
(log1p.f64 (expm1.f64 (*.f64 1/500 y)))
(+.f64 1 (-.f64 (*.f64 1/500 y) 1))
(*.f64 1/500 y)
(exp.f64 (log.f64 (*.f64 1/500 y)))
(+.f64 1 (-.f64 (*.f64 1/500 y) 1))
(*.f64 1/500 y)
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 1/500 y))) 1/3))
(+.f64 1 (-.f64 (*.f64 1/500 y) 1))
(*.f64 1/500 y)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/500 y))) 3))
(+.f64 1 (-.f64 (*.f64 1/500 y) 1))
(*.f64 1/500 y)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 1/500 y))) 2))
(+.f64 1 (-.f64 (*.f64 1/500 y) 1))
(*.f64 1/500 y)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 y 1/500 x)

Compiler

Compiled 9 to 5 computations (44.4% saved)

series2.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	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)

rewrite38.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

450×	`pow1_binary64`
438×	`add-sqr-sqrt_binary64`
429×	`*-un-lft-identity_binary64`
416×	`add-log-exp_binary64`
416×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	100	5
2	1106	5

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

simplify42.0ms (3%)

Algorithm

1×	egg-herbie

Rules

811×	`fma-def_binary64`
480×	`fma-neg_binary64`
395×	`log-prod_binary64`
385×	`times-frac_binary64`
354×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	239
1	140	235
2	544	235
3	3017	233
4	7332	233

Stop Event

1×	node limit

Counts

45 → 30

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

eval15.0ms (1%)

Compiler: Compiled 604 to 453 computations (25% saved)

prune9.0ms (0.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	60	4	64

Error

Counts

64 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(fma.f64 y 1/500 x)
✓	0.0b	(+.f64 x (/.f64 y 500))
✓	33.8b	(*.f64 1/500 y)
	29.5b	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
✓	0.0b	(fma.f64 y 1/500 x)
✓	0.0b	(+.f64 x (/.f64 y 500))
✓	33.8b	(*.f64 1/500 y)
	29.5b	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
✓	0.0b	(fma.f64 y 1/500 x)
✓	0.0b	(+.f64 x (/.f64 y 500))
✓	33.8b	(*.f64 1/500 y)
	29.5b	x

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes16.0ms (1.1%)

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	(+.f64 x (/.f64 y 500))
4.0ms	x
4.0ms	(/.f64 y 500)
3.0ms	y

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(+.f64 x (/.f64 y 500))`
0.0b	1	`(/.f64 y 500)`

Compiler

Compiled 33 to 22 computations (33.3% saved)

regimes49.0ms (3.5%)

Accuracy

Total -49.6b remaining (-399.9%)

Threshold costs -49.6b (-399.9%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 1/500 y)

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

Calls

2 calls:

38.0ms	y
11.0ms	x

Results

Error	Segments	Branch
14.8b	3	`x`
12.4b	3	`y`

Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch27.0ms (1.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	3.035331240673938e+69	1.3544643878223467e+72
14.0ms	-4061623477208208400.0	-665338929055885.8

Results

23.0ms

256×

body

256

valid

Compiler

Compiled 172 to 137 computations (20.3% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	17	29

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 x (/.f64 y 500))
(if (<=.f64 y -140000000000000000) (.f64 1/500 y) (if (<=.f64 y 3099999999999999841723567566268414301504203882326922157421670936084480) x (.f64 1/500 y)))
x

Outputs
(+.f64 x (/.f64 y 500))
(if (<=.f64 y -140000000000000000) (.f64 1/500 y) (if (<=.f64 y 3099999999999999841723567566268414301504203882326922157421670936084480) x (.f64 1/500 y)))
(if (<=.f64 y -140000000000000000) (.f64 y 1/500) (if (<=.f64 y 3099999999999999841723567566268414301504203882326922157421670936084480) x (.f64 y 1/500)))
x

Compiler

Compiled 27 to 19 computations (29.6% saved)

soundness0.0ms (0%)

end22.0ms (1.6%)

Compiler: Compiled 23 to 15 computations (34.8% saved)

Details

analyze75.0ms (5.4%)

sample820.0ms (58.4%)

preprocess15.0ms (1.1%)

simplify7.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.4%)

series11.0ms (0.8%)

rewrite43.0ms (3.1%)

simplify66.0ms (4.7%)

eval11.0ms (0.8%)

prune8.0ms (0.6%)

localize3.0ms (0.2%)

series1.0ms (0.1%)

rewrite71.0ms (5.1%)

simplify37.0ms (2.7%)

localize4.0ms (0.3%)

series2.0ms (0.2%)

rewrite38.0ms (2.7%)

simplify42.0ms (3%)

eval15.0ms (1%)

prune9.0ms (0.7%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes16.0ms (1.1%)

regimes49.0ms (3.5%)

bsearch27.0ms (1.9%)

simplify3.0ms (0.2%)

soundness0.0ms (0%)

end22.0ms (1.6%)

Profiling