Details

analyze56.0ms (2.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
56.2%	43.7%	0.1%	7
65.6%	34.3%	0.1%	8
76.5%	23.4%	0.1%	9
82%	18%	0.1%	10
87.8%	12.1%	0.1%	11
90.7%	9.2%	0.1%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample767.0ms (36.7%)

Results

727.0ms

8256×

body

256

valid

preprocess17.0ms (0.8%)

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)

simplify8.0ms (0.4%)

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)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite65.0ms (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	1885	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 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))))) (#(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 expm1.f64 (log1p.f64 (fma.f64 y 1/500 x)))))))

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 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))))) (#(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 expm1.f64 (log1p.f64 (fma.f64 y 1/500 x)))))))

simplify9.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-def_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	105
1	9	105
2	10	105

Stop Event

1×

saturated

Counts

58 → 38

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)

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)

eval17.0ms (0.8%)

Compiler: Compiled 415 to 265 computations (36.1% saved)

prune7.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	34	4	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	5	39

Error

Counts

39 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 x (/.f64 y 500))
▶	0.1b	(+.f64 (*.f64 1/500 y) x)
	30.9b	x
▶	32.4b	(*.f64 1/500 y)
▶	30.8b	(.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/250000)) (/.f64 1 (-.f64 x (*.f64 y 1/500))))

Compiler

Compiled 41 to 29 computations (29.3% saved)

localize27.0ms (1.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(.f64 (.f64 y y) 1/250000)
	0.2b	(*.f64 y 1/500)
	0.1b	(/.f64 1 (-.f64 x (*.f64 y 1/500)))
	0.0b	(-.f64 x (*.f64 y 1/500))
✓	0.2b	(*.f64 y 1/500)
✓	0.2b	(.f64 (.f64 y y) 1/250000)
✓	3.3b	(-.f64 (.f64 x x) (.f64 (*.f64 y y) 1/250000))
✓	28.8b	(.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/250000)) (/.f64 1 (-.f64 x (*.f64 y 1/500))))

Compiler

Compiled 59 to 31 computations (47.5% saved)

series9.0ms (0.4%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/250000)) (/.f64 1 (-.f64 x (*.f64 y 1/500))))
1.0ms	y	@	-inf	(.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/250000)) (/.f64 1 (-.f64 x (*.f64 y 1/500))))
1.0ms	y	@	0	(.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/250000)) (/.f64 1 (-.f64 x (*.f64 y 1/500))))
1.0ms	y	@	inf	(.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/250000)) (/.f64 1 (-.f64 x (*.f64 y 1/500))))
1.0ms	x	@	inf	(.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/250000)) (/.f64 1 (-.f64 x (*.f64 y 1/500))))

rewrite115.0ms (5.5%)

Algorithm

1×	batch-egg-rewrite

Rules

709×	`log-prod_binary64`
667×	`fma-def_binary64`
263×	`fma-neg_binary64`
249×	`expm1-udef_binary64`
249×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	46
1	319	29
2	4366	27

Stop Event

1×	node limit

Counts

4 → 343

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/250000)) (/.f64 1 (-.f64 x (*.f64 y 1/500))))
(-.f64 (.f64 x x) (.f64 (*.f64 y y) 1/250000))
(.f64 (.f64 y y) 1/250000)
(*.f64 y 1/500)

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 (fma.f64 y 1/500 x) (.f64 (fma.f64 (.f64 y y) -1/250000 (.f64 y (.f64 y 1/250000))) (/.f64 1 (fma.f64 y -1/500 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y 1/500 x) (.f64 (/.f64 1 (fma.f64 y -1/500 x)) (fma.f64 (.f64 y y) -1/250000 (.f64 y (.f64 y 1/250000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 y 1/500 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x x) (/.f64 1 (fma.f64 y -1/500 x))) (.f64 (.f64 (.f64 y y) -1/250000) (/.f64 1 (fma.f64 y -1/500 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (fma.f64 y -1/500 x)) (.f64 x x)) (.f64 (/.f64 1 (fma.f64 y -1/500 x)) (.f64 (.f64 y y) -1/250000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 y 1/500 x))) (cbrt.f64 (exp.f64 (fma.f64 y 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(fma.f64 (.f64 y y) -1/250000 (.f64 y (.f64 y 1/250000))))) (cbrt.f64 (fma.f64 (.f64 y y) -1/250000 (.f64 y (.f64 y 1/250000)))) (fma.f64 x x (.f64 (.f64 y y) -1/250000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (.f64 (.f64 y y) -1/250000)) (cbrt.f64 (.f64 (.f64 y y) -1/250000))) (cbrt.f64 (.f64 (.f64 y y) -1/250000)) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (sqrt.f64 (.f64 (.f64 y y) -1/250000)) (.f64 y 1/500)) (hypot.f64 (sqrt.f64 (.f64 (.f64 y y) -1/250000)) (.f64 y 1/500)) (fma.f64 x x (.f64 (.f64 y y) -1/250000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (.f64 y y) -1/250000)) (sqrt.f64 (.f64 (.f64 y y) -1/250000)) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (.f64 (pow.f64 y 4) 1/62500000000))) (pow.f64 (cbrt.f64 (.f64 y 1/500)) 2) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (.f64 y y) -1/250000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (.f64 (.f64 y y) -1/250000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 (.f64 y y) -1/250000 (fma.f64 (.f64 y y) -1/250000 (.f64 y (.f64 y 1/250000)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (-.f64 (.f64 y (.f64 y 1/250000)) (fma.f64 (.f64 y y) -1/250000 (.f64 y (.f64 y 1/250000))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x x (.f64 (.f64 y y) -1/250000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x x (.f64 (.f64 y y) -1/250000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x x (.f64 (.f64 y y) -1/250000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x x (.f64 (.f64 y y) -1/250000))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 y (.f64 y 1/250000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 1/250000)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 1/250000)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 1/250000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 1/250000))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 1/250000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 y 1/250000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y (.f64 y 1/250000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y 1/500) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 y 1/500)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 y y) 3) 1/15625000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 y 4) 1/62500000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 1/250000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 y 1/250000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 y y) 3) 1/15625000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 y (.f64 y 1/250000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (.f64 y 1/500))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (.f64 y 1/500))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 y (*.f64 y 1/250000))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 y 1/500))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 1/500) y)) (cbrt.f64 (pow.f64 (exp.f64 1/500) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/500) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/500) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/500) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 y 1/500))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y (.f64 y 1/250000)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y 1/500) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 y 1/500)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 y 1/500)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/125000000 (pow.f64 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 fabs.f64 (.f64 y 1/500))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/500) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 y 1/500))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 1/125000000 (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 y 1/500)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 y 1/500)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 y 1/500)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y 1/500)))))))

simplify168.0ms (8%)

Algorithm

1×	egg-herbie

Rules

1078×	`sqr-pow_binary64`
786×	`cube-prod_binary64`
730×	`fabs-mul_binary64`
484×	`unswap-sqr_binary64`
392×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	468
1	29	468
2	50	468
3	96	468
4	234	468
5	701	468
6	1077	468
7	1893	468
8	2096	468
9	2336	468
10	2649	468
11	3099	468
12	3690	468
13	4399	468
14	5274	468
15	5960	468
16	6414	468
17	6846	468
18	7000	468
19	7068	468
20	7895	468

Stop Event

1×	node limit

Counts

415 → 354

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 -1/250000 (pow.f64 y 2))
(+.f64 (*.f64 -1/250000 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1/250000 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1/250000 (pow.f64 y 2)) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1/250000 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1/250000 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1/250000 (pow.f64 y 2)) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1/250000 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1/250000 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1/250000 (pow.f64 y 2)) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1/250000 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1/250000 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1/250000 (pow.f64 y 2)) (pow.f64 x 2))
(*.f64 -1/250000 (pow.f64 y 2))
(+.f64 (*.f64 -1/250000 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1/250000 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1/250000 (pow.f64 y 2)) (pow.f64 x 2))
(*.f64 -1/250000 (pow.f64 y 2))
(+.f64 (*.f64 -1/250000 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1/250000 (pow.f64 y 2)) (pow.f64 x 2))
(+.f64 (*.f64 -1/250000 (pow.f64 y 2)) (pow.f64 x 2))
(*.f64 1/250000 (pow.f64 y 2))
(*.f64 1/250000 (pow.f64 y 2))
(*.f64 1/250000 (pow.f64 y 2))
(*.f64 1/250000 (pow.f64 y 2))
(*.f64 1/250000 (pow.f64 y 2))
(*.f64 1/250000 (pow.f64 y 2))
(*.f64 1/250000 (pow.f64 y 2))
(*.f64 1/250000 (pow.f64 y 2))
(*.f64 1/250000 (pow.f64 y 2))
(*.f64 1/250000 (pow.f64 y 2))
(*.f64 1/250000 (pow.f64 y 2))
(*.f64 1/250000 (pow.f64 y 2))
(*.f64 1/500 y)
(*.f64 1/500 y)
(*.f64 1/500 y)
(*.f64 1/500 y)
(*.f64 1/500 y)
(*.f64 1/500 y)
(*.f64 1/500 y)
(*.f64 1/500 y)
(*.f64 1/500 y)
(*.f64 1/500 y)
(*.f64 1/500 y)
(*.f64 1/500 y)

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 -1/250000 (pow.f64 y 2))
(.f64 -1/250000 (.f64 y y))
(.f64 y (.f64 y -1/250000))
(+.f64 (*.f64 -1/250000 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1/250000 (.f64 y y) (.f64 x x))
(fma.f64 x x (.f64 y (.f64 y -1/250000)))
(fma.f64 y (.f64 y -1/250000) (.f64 x x))
(+.f64 (*.f64 -1/250000 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1/250000 (.f64 y y) (.f64 x x))
(fma.f64 x x (.f64 y (.f64 y -1/250000)))
(fma.f64 y (.f64 y -1/250000) (.f64 x x))
(+.f64 (*.f64 -1/250000 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1/250000 (.f64 y y) (.f64 x x))
(fma.f64 x x (.f64 y (.f64 y -1/250000)))
(fma.f64 y (.f64 y -1/250000) (.f64 x x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1/250000 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1/250000 (.f64 y y) (.f64 x x))
(fma.f64 x x (.f64 y (.f64 y -1/250000)))
(fma.f64 y (.f64 y -1/250000) (.f64 x x))
(+.f64 (*.f64 -1/250000 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1/250000 (.f64 y y) (.f64 x x))
(fma.f64 x x (.f64 y (.f64 y -1/250000)))
(fma.f64 y (.f64 y -1/250000) (.f64 x x))
(+.f64 (*.f64 -1/250000 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1/250000 (.f64 y y) (.f64 x x))
(fma.f64 x x (.f64 y (.f64 y -1/250000)))
(fma.f64 y (.f64 y -1/250000) (.f64 x x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1/250000 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1/250000 (.f64 y y) (.f64 x x))
(fma.f64 x x (.f64 y (.f64 y -1/250000)))
(fma.f64 y (.f64 y -1/250000) (.f64 x x))
(+.f64 (*.f64 -1/250000 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1/250000 (.f64 y y) (.f64 x x))
(fma.f64 x x (.f64 y (.f64 y -1/250000)))
(fma.f64 y (.f64 y -1/250000) (.f64 x x))
(+.f64 (*.f64 -1/250000 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1/250000 (.f64 y y) (.f64 x x))
(fma.f64 x x (.f64 y (.f64 y -1/250000)))
(fma.f64 y (.f64 y -1/250000) (.f64 x x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1/250000 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1/250000 (.f64 y y) (.f64 x x))
(fma.f64 x x (.f64 y (.f64 y -1/250000)))
(fma.f64 y (.f64 y -1/250000) (.f64 x x))
(+.f64 (*.f64 -1/250000 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1/250000 (.f64 y y) (.f64 x x))
(fma.f64 x x (.f64 y (.f64 y -1/250000)))
(fma.f64 y (.f64 y -1/250000) (.f64 x x))
(+.f64 (*.f64 -1/250000 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1/250000 (.f64 y y) (.f64 x x))
(fma.f64 x x (.f64 y (.f64 y -1/250000)))
(fma.f64 y (.f64 y -1/250000) (.f64 x x))
(*.f64 -1/250000 (pow.f64 y 2))
(.f64 -1/250000 (.f64 y y))
(.f64 y (.f64 y -1/250000))
(+.f64 (*.f64 -1/250000 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1/250000 (.f64 y y) (.f64 x x))
(fma.f64 x x (.f64 y (.f64 y -1/250000)))
(fma.f64 y (.f64 y -1/250000) (.f64 x x))
(+.f64 (*.f64 -1/250000 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1/250000 (.f64 y y) (.f64 x x))
(fma.f64 x x (.f64 y (.f64 y -1/250000)))
(fma.f64 y (.f64 y -1/250000) (.f64 x x))
(+.f64 (*.f64 -1/250000 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1/250000 (.f64 y y) (.f64 x x))
(fma.f64 x x (.f64 y (.f64 y -1/250000)))
(fma.f64 y (.f64 y -1/250000) (.f64 x x))
(*.f64 -1/250000 (pow.f64 y 2))
(.f64 -1/250000 (.f64 y y))
(.f64 y (.f64 y -1/250000))
(+.f64 (*.f64 -1/250000 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1/250000 (.f64 y y) (.f64 x x))
(fma.f64 x x (.f64 y (.f64 y -1/250000)))
(fma.f64 y (.f64 y -1/250000) (.f64 x x))
(+.f64 (*.f64 -1/250000 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1/250000 (.f64 y y) (.f64 x x))
(fma.f64 x x (.f64 y (.f64 y -1/250000)))
(fma.f64 y (.f64 y -1/250000) (.f64 x x))
(+.f64 (*.f64 -1/250000 (pow.f64 y 2)) (pow.f64 x 2))
(fma.f64 -1/250000 (.f64 y y) (.f64 x x))
(fma.f64 x x (.f64 y (.f64 y -1/250000)))
(fma.f64 y (.f64 y -1/250000) (.f64 x x))
(*.f64 1/250000 (pow.f64 y 2))
(.f64 (.f64 y y) 1/250000)
(.f64 y (.f64 y 1/250000))
(*.f64 1/250000 (pow.f64 y 2))
(.f64 (.f64 y y) 1/250000)
(.f64 y (.f64 y 1/250000))
(*.f64 1/250000 (pow.f64 y 2))
(.f64 (.f64 y y) 1/250000)
(.f64 y (.f64 y 1/250000))
(*.f64 1/250000 (pow.f64 y 2))
(.f64 (.f64 y y) 1/250000)
(.f64 y (.f64 y 1/250000))
(*.f64 1/250000 (pow.f64 y 2))
(.f64 (.f64 y y) 1/250000)
(.f64 y (.f64 y 1/250000))
(*.f64 1/250000 (pow.f64 y 2))
(.f64 (.f64 y y) 1/250000)
(.f64 y (.f64 y 1/250000))
(*.f64 1/250000 (pow.f64 y 2))
(.f64 (.f64 y y) 1/250000)
(.f64 y (.f64 y 1/250000))
(*.f64 1/250000 (pow.f64 y 2))
(.f64 (.f64 y y) 1/250000)
(.f64 y (.f64 y 1/250000))
(*.f64 1/250000 (pow.f64 y 2))
(.f64 (.f64 y y) 1/250000)
(.f64 y (.f64 y 1/250000))
(*.f64 1/250000 (pow.f64 y 2))
(.f64 (.f64 y y) 1/250000)
(.f64 y (.f64 y 1/250000))
(*.f64 1/250000 (pow.f64 y 2))
(.f64 (.f64 y y) 1/250000)
(.f64 y (.f64 y 1/250000))
(*.f64 1/250000 (pow.f64 y 2))
(.f64 (.f64 y y) 1/250000)
(.f64 y (.f64 y 1/250000))
(*.f64 1/500 y)
(*.f64 1/500 y)
(*.f64 1/500 y)
(*.f64 1/500 y)
(*.f64 1/500 y)
(*.f64 1/500 y)
(*.f64 1/500 y)
(*.f64 1/500 y)
(*.f64 1/500 y)
(*.f64 1/500 y)
(*.f64 1/500 y)
(*.f64 1/500 y)

localize3.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(*.f64 1/500 y)
✓	0.2b	(*.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	@	0	(*.f64 1/500 y)
0.0ms	y	@	inf	(*.f64 1/500 y)
0.0ms	y	@	-inf	(*.f64 1/500 y)

rewrite55.0ms (2.7%)

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

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

25 → 25

Calls

Call 1

Inputs

Outputs

localize6.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 1/500 y)
	0.0b	(+.f64 (*.f64 1/500 y) x)
✓	0.0b	(+.f64 (*.f64 1/500 y) x)
	0.2b	(*.f64 1/500 y)

Compiler

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0.1%)

Counts

1 → 6

Calls

6 calls:

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

rewrite46.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

687×	`pow1_binary64`
642×	`add-log-exp_binary64`
642×	`log1p-expm1-u_binary64`
642×	`expm1-log1p-u_binary64`
629×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	131	5
2	1728	5

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
1	6	15

Stop Event

1×

saturated

Counts

41 → 37

Calls

Call 1

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

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

eval253.0ms (12.1%)

Compiler: Compiled 10484 to 6427 computations (38.7% saved)

prune66.0ms (3.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	440	1	441
Fresh	0	1	1
Picked	0	1	1
Done	1	2	3
Total	441	5	446

Error

Counts

446 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 x (/.f64 y 500))
✓	0.1b	(+.f64 (*.f64 1/500 y) x)
	30.9b	x
✓	32.4b	(*.f64 1/500 y)
▶	47.9b	(.f64 (.f64 y (.f64 y -1/250000)) (/.f64 1 (-.f64 x (.f64 y 1/500))))

Compiler

Compiled 37 to 27 computations (27% saved)

localize20.0ms (0.9%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(*.f64 y 1/500)
	0.1b	(/.f64 1 (-.f64 x (*.f64 y 1/500)))
	0.1b	(.f64 y (.f64 y -1/250000))
	0.0b	(-.f64 x (*.f64 y 1/500))
✓	0.1b	(/.f64 1 (-.f64 x (*.f64 y 1/500)))
	0.2b	(*.f64 y 1/500)
✓	0.3b	(*.f64 y -1/250000)
✓	20.1b	(.f64 (.f64 y (.f64 y -1/250000)) (/.f64 1 (-.f64 x (.f64 y 1/500))))

Compiler

Compiled 43 to 29 computations (32.6% saved)

series9.0ms (0.4%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/.f64 1 (-.f64 x (*.f64 y 1/500)))
1.0ms	y	@	0	(.f64 (.f64 y (.f64 y -1/250000)) (/.f64 1 (-.f64 x (.f64 y 1/500))))
1.0ms	x	@	inf	(.f64 (.f64 y (.f64 y -1/250000)) (/.f64 1 (-.f64 x (.f64 y 1/500))))
1.0ms	x	@	-inf	(.f64 (.f64 y (.f64 y -1/250000)) (/.f64 1 (-.f64 x (.f64 y 1/500))))
1.0ms	x	@	0	(.f64 (.f64 y (.f64 y -1/250000)) (/.f64 1 (-.f64 x (.f64 y 1/500))))

rewrite63.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

649×	`log-prod_binary64`
598×	`prod-diff_binary64`
318×	`pow2_binary64`
243×	`pow-unpow_binary64`
224×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	260	30
2	3378	26

Stop Event

1×	node limit

Counts

3 → 83

Calls

Call 1

Inputs
(.f64 (.f64 y (.f64 y -1/250000)) (/.f64 1 (-.f64 x (.f64 y 1/500))))
(*.f64 y -1/250000)
(/.f64 1 (-.f64 x (*.f64 y 1/500)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (/.f64 (fma.f64 y -1/500 x) (*.f64 y -1/250000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 (*.f64 y -1/250000) (fma.f64 y -1/500 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 (*.f64 y -1/250000) (fma.f64 y -1/500 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 (*.f64 y -1/250000) (fma.f64 y -1/500 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 (*.f64 y -1/250000) (fma.f64 y -1/500 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (/.f64 (fma.f64 y -1/500 x) (*.f64 y -1/250000))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 (fma.f64 y -1/500 x) (*.f64 y -1/250000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -1/250000) (/.f64 (fma.f64 y -1/500 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 y -1/250000)) (fma.f64 y -1/500 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y -1/500 x) (*.f64 y (*.f64 y -1/250000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y y) (/.f64 (fma.f64 y -1/500 x) -1/250000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 y -1/250000))) 2) (/.f64 (fma.f64 y -1/500 x) (cbrt.f64 (*.f64 y (*.f64 y -1/250000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (sqrt.f64 -1/250000)) (/.f64 (fma.f64 y -1/500 x) (*.f64 y (sqrt.f64 -1/250000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y (*.f64 y -1/250000))) (neg.f64 (fma.f64 y -1/500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (*.f64 y -1/250000)) (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 (*.f64 y (*.f64 y -1/250000)) 1) (fma.f64 y -1/500 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (*.f64 y -1/250000)) (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 -1 (*.f64 y (*.f64 y -1/250000))) (neg.f64 (fma.f64 y -1/500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (*.f64 y -1/250000)) -1) (neg.f64 (fma.f64 y -1/500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (/.f64 (fma.f64 y -1/500 x) (*.f64 y -1/250000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (/.f64 (fma.f64 y -1/500 x) (*.f64 y -1/250000))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (/.f64 (fma.f64 y -1/500 x) (*.f64 y -1/250000))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (/.f64 (fma.f64 y -1/500 x) (*.f64 y -1/250000)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y (sqrt.f64 -1/250000)) (sqrt.f64 (fma.f64 y -1/500 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 y -1/250000)) 3) (pow.f64 (fma.f64 y -1/500 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 y (*.f64 y -1/250000)) 3) (pow.f64 (/.f64 1 (fma.f64 y -1/500 x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 1 (fma.f64 y -1/500 x)) 3) (pow.f64 (*.f64 y (*.f64 y -1/250000)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 y -1/500 x) (*.f64 y (*.f64 y -1/250000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (/.f64 (fma.f64 y -1/500 x) (*.f64 y -1/250000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 (*.f64 y -1/250000) (fma.f64 y -1/500 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (/.f64 (fma.f64 y -1/500 x) (*.f64 y -1/250000))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (/.f64 (fma.f64 y -1/500 x) (*.f64 y -1/250000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 y -1/250000)) 3) (pow.f64 (fma.f64 y -1/500 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 y (*.f64 y -1/250000)) 3) (pow.f64 (/.f64 1 (fma.f64 y -1/500 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (fma.f64 y -1/500 x)) 3) (pow.f64 (*.f64 y (*.f64 y -1/250000)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (/.f64 (fma.f64 y -1/500 x) (*.f64 y -1/250000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (/.f64 (fma.f64 y -1/500 x) (*.f64 y -1/250000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 (fma.f64 y -1/500 x) (*.f64 y -1/250000)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (/.f64 (fma.f64 y -1/500 x) (*.f64 y -1/250000)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y -1/250000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) -1/250000)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) -1/250000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) -1/250000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) -1/250000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y -1/250000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y -1/250000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 y y) 1/62500000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y -1/250000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y -1/250000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y -1/250000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 y y) 1/62500000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) -1/250000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y -1/250000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y -1/250000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y -1/250000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y -1/250000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y -1/250000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y -1/250000)))))))

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

simplify64.0ms (3%)

Algorithm

1×	egg-herbie

Rules

736×	`distribute-rgt-out_binary64`
690×	`associate-/r/_binary64`
625×	`associate-l_binary64`
622×	`cancel-sign-sub-inv_binary64`
610×	`fma-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	79	1104
1	212	1074
2	615	1068
3	2288	1008
4	5707	996

Stop Event

1×	node limit

Counts

143 → 114

Calls

Call 1

Inputs
(*.f64 -1/250000 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 -1/125000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 -1/250000 (/.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 -1/125000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -1/250000 (/.f64 (pow.f64 y 2) x)) (*.f64 -1/62500000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 -1/125000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -1/250000 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1/31250000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -1/62500000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (.f64 1/500 y) (+.f64 (.f64 500 (/.f64 (pow.f64 x 2) y)) x))
(+.f64 (.f64 1/500 y) (+.f64 (.f64 250000 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 500 (/.f64 (pow.f64 x 2) y)) x)))
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (.f64 1/500 y) (+.f64 (.f64 500 (/.f64 (pow.f64 x 2) y)) x))
(+.f64 (.f64 1/500 y) (+.f64 (.f64 250000 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 500 (/.f64 (pow.f64 x 2) y)) x)))
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (.f64 1/500 y) (+.f64 (.f64 500 (/.f64 (pow.f64 x 2) y)) x))
(+.f64 (.f64 1/500 y) (+.f64 (.f64 250000 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 500 (/.f64 (pow.f64 x 2) y)) x)))
(*.f64 -1/250000 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 -1/125000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 -1/250000 (/.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 -1/125000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -1/250000 (/.f64 (pow.f64 y 2) x)) (*.f64 -1/62500000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 -1/125000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -1/250000 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1/31250000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -1/62500000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 -1/250000 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 -1/125000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 -1/250000 (/.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 -1/125000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -1/250000 (/.f64 (pow.f64 y 2) x)) (*.f64 -1/62500000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 -1/125000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -1/250000 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1/31250000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -1/62500000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 -1/250000 y)
(*.f64 -1/250000 y)
(*.f64 -1/250000 y)
(*.f64 -1/250000 y)
(*.f64 -1/250000 y)
(*.f64 -1/250000 y)
(*.f64 -1/250000 y)
(*.f64 -1/250000 y)
(*.f64 -1/250000 y)
(*.f64 -1/250000 y)
(*.f64 -1/250000 y)
(*.f64 -1/250000 y)
(/.f64 -500 y)
(-.f64 (.f64 -250000 (/.f64 x (pow.f64 y 2))) (.f64 500 (/.f64 1 y)))
(-.f64 (+.f64 (.f64 -125000000 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (.f64 -250000 (/.f64 x (pow.f64 y 2)))) (*.f64 500 (/.f64 1 y)))
(-.f64 (+.f64 (.f64 -125000000 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (.f64 -250000 (/.f64 x (pow.f64 y 2))) (.f64 -62500000000 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (.f64 500 (/.f64 1 y)))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 1/500 (/.f64 y (pow.f64 x 2))))
(+.f64 (.f64 1/250000 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 1/500 (/.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 1/250000 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (.f64 1/125000000 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 1 x) (*.f64 1/500 (/.f64 y (pow.f64 x 2))))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 1/500 (/.f64 y (pow.f64 x 2))))
(+.f64 (.f64 1/250000 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 1/500 (/.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 1/250000 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (.f64 1/125000000 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 1 x) (*.f64 1/500 (/.f64 y (pow.f64 x 2))))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 1/500 (/.f64 y (pow.f64 x 2))))
(+.f64 (.f64 1/250000 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 1/500 (/.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 1/250000 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (.f64 1/125000000 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 1 x) (*.f64 1/500 (/.f64 y (pow.f64 x 2))))))
(/.f64 -500 y)
(-.f64 (.f64 -250000 (/.f64 x (pow.f64 y 2))) (.f64 500 (/.f64 1 y)))
(-.f64 (+.f64 (.f64 -125000000 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (.f64 -250000 (/.f64 x (pow.f64 y 2)))) (*.f64 500 (/.f64 1 y)))
(-.f64 (+.f64 (.f64 -125000000 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (.f64 -250000 (/.f64 x (pow.f64 y 2))) (.f64 -62500000000 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (.f64 500 (/.f64 1 y)))
(/.f64 -500 y)
(-.f64 (.f64 -250000 (/.f64 x (pow.f64 y 2))) (.f64 500 (/.f64 1 y)))
(-.f64 (+.f64 (.f64 -125000000 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (.f64 -250000 (/.f64 x (pow.f64 y 2)))) (*.f64 500 (/.f64 1 y)))
(-.f64 (+.f64 (.f64 -125000000 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (.f64 -250000 (/.f64 x (pow.f64 y 2))) (.f64 -62500000000 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (.f64 500 (/.f64 1 y)))

Outputs
(*.f64 -1/250000 (/.f64 (pow.f64 y 2) x))
(/.f64 (.f64 -1/250000 (.f64 y y)) x)
(*.f64 -1/250000 (/.f64 y (/.f64 x y)))
(.f64 -1/250000 (.f64 (/.f64 y x) y))
(.f64 -1/250000 (.f64 y (/.f64 y x)))
(+.f64 (.f64 -1/125000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 -1/250000 (/.f64 (pow.f64 y 2) x)))
(fma.f64 -1/125000000 (/.f64 (pow.f64 y 3) (.f64 x x)) (/.f64 (.f64 -1/250000 (*.f64 y y)) x))
(fma.f64 -1/250000 (/.f64 y (/.f64 x y)) (.f64 -1/125000000 (/.f64 (pow.f64 y 3) (.f64 x x))))
(fma.f64 -1/125000000 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 -1/250000 (*.f64 (/.f64 y x) y)))
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(fma.f64 1/250000 (/.f64 (.f64 y y) (pow.f64 x 3)) (fma.f64 1/500 (/.f64 y (.f64 x x)) (/.f64 1 x)))
(fma.f64 1/500 (/.f64 y (.f64 x x)) (fma.f64 1/250000 (/.f64 (.f64 y y) (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (.f64 (/.f64 y (.f64 x x)) (+.f64 1/500 (/.f64 (*.f64 y 1/250000) x))))
(+.f64 (.f64 1/250000 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (.f64 1/125000000 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 1 x) (*.f64 1/500 (/.f64 y (pow.f64 x 2))))))
(fma.f64 1/250000 (/.f64 (.f64 y y) (pow.f64 x 3)) (fma.f64 1/125000000 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 (.f64 y 1/500) (*.f64 x x)))))
(fma.f64 1/250000 (/.f64 (.f64 y y) (pow.f64 x 3)) (fma.f64 1/125000000 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 1/500 (/.f64 y (.f64 x x)) (/.f64 1 x))))
(+.f64 (fma.f64 1/500 (/.f64 y (.f64 x x)) (/.f64 1 x)) (.f64 (/.f64 (.f64 y y) (pow.f64 x 3)) (+.f64 1/250000 (/.f64 (.f64 y 1/125000000) x))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 1/500 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (/.f64 (.f64 y 1/500) (.f64 x x)))
(fma.f64 1/500 (/.f64 y (*.f64 x x)) (/.f64 1 x))
(+.f64 (.f64 1/250000 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 1/500 (/.f64 y (pow.f64 x 2)))))
(fma.f64 1/250000 (/.f64 (.f64 y y) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 (.f64 y 1/500) (*.f64 x x))))
(fma.f64 1/250000 (/.f64 (.f64 y y) (pow.f64 x 3)) (fma.f64 1/500 (/.f64 y (.f64 x x)) (/.f64 1 x)))
(fma.f64 1/500 (/.f64 y (.f64 x x)) (fma.f64 1/250000 (/.f64 (.f64 y y) (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (.f64 (/.f64 y (.f64 x x)) (+.f64 1/500 (/.f64 (*.f64 y 1/250000) x))))
(+.f64 (.f64 1/250000 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (.f64 1/125000000 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 1 x) (*.f64 1/500 (/.f64 y (pow.f64 x 2))))))
(fma.f64 1/250000 (/.f64 (.f64 y y) (pow.f64 x 3)) (fma.f64 1/125000000 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 (.f64 y 1/500) (*.f64 x x)))))
(fma.f64 1/250000 (/.f64 (.f64 y y) (pow.f64 x 3)) (fma.f64 1/125000000 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 1/500 (/.f64 y (.f64 x x)) (/.f64 1 x))))
(+.f64 (fma.f64 1/500 (/.f64 y (.f64 x x)) (/.f64 1 x)) (.f64 (/.f64 (.f64 y y) (pow.f64 x 3)) (+.f64 1/250000 (/.f64 (.f64 y 1/125000000) x))))
(/.f64 -500 y)
(-.f64 (.f64 -250000 (/.f64 x (pow.f64 y 2))) (.f64 500 (/.f64 1 y)))
(-.f64 (/.f64 (.f64 -250000 x) (.f64 y y)) (/.f64 500 y))
(fma.f64 -250000 (/.f64 x (*.f64 y y)) (/.f64 -500 y))
(fma.f64 (/.f64 -250000 (*.f64 y y)) x (/.f64 -500 y))
(fma.f64 x (/.f64 -250000 (*.f64 y y)) (/.f64 -500 y))
(-.f64 (+.f64 (.f64 -125000000 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (.f64 -250000 (/.f64 x (pow.f64 y 2)))) (*.f64 500 (/.f64 1 y)))
(-.f64 (fma.f64 -125000000 (/.f64 (.f64 x x) (pow.f64 y 3)) (/.f64 (.f64 -250000 x) (*.f64 y y))) (/.f64 500 y))
(fma.f64 -125000000 (/.f64 x (/.f64 (pow.f64 y 3) x)) (fma.f64 -250000 (/.f64 x (*.f64 y y)) (/.f64 -500 y)))
(fma.f64 -250000 (/.f64 x (.f64 y y)) (fma.f64 -125000000 (.f64 (/.f64 x (pow.f64 y 3)) x) (/.f64 -500 y)))
(+.f64 (.f64 (/.f64 x (.f64 y y)) (+.f64 -250000 (/.f64 (*.f64 x -125000000) y))) (/.f64 -500 y))
(fma.f64 (/.f64 x (.f64 y y)) (+.f64 -250000 (/.f64 (.f64 x -125000000) y)) (/.f64 -500 y))
(-.f64 (+.f64 (.f64 -125000000 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (.f64 -250000 (/.f64 x (pow.f64 y 2))) (.f64 -62500000000 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (.f64 500 (/.f64 1 y)))
(-.f64 (fma.f64 -125000000 (/.f64 (.f64 x x) (pow.f64 y 3)) (fma.f64 -250000 (/.f64 x (.f64 y y)) (*.f64 -62500000000 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (/.f64 500 y))
(+.f64 (fma.f64 -125000000 (/.f64 x (/.f64 (pow.f64 y 3) x)) (fma.f64 -250000 (/.f64 x (.f64 y y)) (.f64 -62500000000 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (/.f64 -500 y))
(fma.f64 -125000000 (.f64 (/.f64 x (pow.f64 y 3)) x) (fma.f64 -250000 (/.f64 x (.f64 y y)) (fma.f64 -62500000000 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) (/.f64 -500 y))))
(+.f64 (.f64 (/.f64 x (.f64 y y)) (+.f64 -250000 (/.f64 (*.f64 x -125000000) y))) (fma.f64 -62500000000 (/.f64 (pow.f64 (/.f64 x y) 3) y) (/.f64 -500 y)))
(fma.f64 (pow.f64 x 3) (/.f64 -62500000000 (pow.f64 y 4)) (fma.f64 (/.f64 x (.f64 y y)) (+.f64 -250000 (/.f64 (.f64 x -125000000) y)) (/.f64 -500 y)))
(/.f64 -500 y)
(-.f64 (.f64 -250000 (/.f64 x (pow.f64 y 2))) (.f64 500 (/.f64 1 y)))
(-.f64 (/.f64 (.f64 -250000 x) (.f64 y y)) (/.f64 500 y))
(fma.f64 -250000 (/.f64 x (*.f64 y y)) (/.f64 -500 y))
(fma.f64 (/.f64 -250000 (*.f64 y y)) x (/.f64 -500 y))
(fma.f64 x (/.f64 -250000 (*.f64 y y)) (/.f64 -500 y))
(-.f64 (+.f64 (.f64 -125000000 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (.f64 -250000 (/.f64 x (pow.f64 y 2)))) (*.f64 500 (/.f64 1 y)))
(-.f64 (fma.f64 -125000000 (/.f64 (.f64 x x) (pow.f64 y 3)) (/.f64 (.f64 -250000 x) (*.f64 y y))) (/.f64 500 y))
(fma.f64 -125000000 (/.f64 x (/.f64 (pow.f64 y 3) x)) (fma.f64 -250000 (/.f64 x (*.f64 y y)) (/.f64 -500 y)))
(fma.f64 -250000 (/.f64 x (.f64 y y)) (fma.f64 -125000000 (.f64 (/.f64 x (pow.f64 y 3)) x) (/.f64 -500 y)))
(+.f64 (.f64 (/.f64 x (.f64 y y)) (+.f64 -250000 (/.f64 (*.f64 x -125000000) y))) (/.f64 -500 y))
(fma.f64 (/.f64 x (.f64 y y)) (+.f64 -250000 (/.f64 (.f64 x -125000000) y)) (/.f64 -500 y))
(-.f64 (+.f64 (.f64 -125000000 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (.f64 -250000 (/.f64 x (pow.f64 y 2))) (.f64 -62500000000 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (.f64 500 (/.f64 1 y)))
(-.f64 (fma.f64 -125000000 (/.f64 (.f64 x x) (pow.f64 y 3)) (fma.f64 -250000 (/.f64 x (.f64 y y)) (*.f64 -62500000000 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (/.f64 500 y))
(+.f64 (fma.f64 -125000000 (/.f64 x (/.f64 (pow.f64 y 3) x)) (fma.f64 -250000 (/.f64 x (.f64 y y)) (.f64 -62500000000 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (/.f64 -500 y))
(fma.f64 -125000000 (.f64 (/.f64 x (pow.f64 y 3)) x) (fma.f64 -250000 (/.f64 x (.f64 y y)) (fma.f64 -62500000000 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) (/.f64 -500 y))))
(+.f64 (.f64 (/.f64 x (.f64 y y)) (+.f64 -250000 (/.f64 (*.f64 x -125000000) y))) (fma.f64 -62500000000 (/.f64 (pow.f64 (/.f64 x y) 3) y) (/.f64 -500 y)))
(fma.f64 (pow.f64 x 3) (/.f64 -62500000000 (pow.f64 y 4)) (fma.f64 (/.f64 x (.f64 y y)) (+.f64 -250000 (/.f64 (.f64 x -125000000) y)) (/.f64 -500 y)))

eval55.0ms (2.6%)

Compiler: Compiled 2196 to 1541 computations (29.8% saved)

prune21.0ms (1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	132	5	137

Error

Counts

137 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 x (/.f64 y 500))
✓	0.1b	(+.f64 (*.f64 1/500 y) x)
	30.9b	x
✓	32.4b	(*.f64 1/500 y)
✓	47.9b	(.f64 (.f64 y (.f64 y -1/250000)) (/.f64 1 (-.f64 x (.f64 y 1/500))))

Compiler

Compiled 37 to 27 computations (27% saved)

eval0.0ms (0%)

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

prune5.0ms (0.2%)

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

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 x (/.f64 y 500))
✓	0.1b	(+.f64 (*.f64 1/500 y) x)
	30.9b	x
✓	32.4b	(*.f64 1/500 y)
✓	47.9b	(.f64 (.f64 y (.f64 y -1/250000)) (/.f64 1 (-.f64 x (.f64 y 1/500))))

Compiler

Compiled 37 to 27 computations (27% saved)

regimes23.0ms (1.1%)

Counts

5 → 1

Calls

Call 1

Inputs
x
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(+.f64 x (/.f64 y 500))
(.f64 (.f64 y (.f64 y -1/250000)) (/.f64 1 (-.f64 x (.f64 y 1/500))))

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

Calls

4 calls:

6.0ms	(+.f64 x (/.f64 y 500))
6.0ms	x
5.0ms	(/.f64 y 500)
5.0ms	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 47 to 32 computations (31.9% saved)

regimes10.0ms (0.5%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
4.0ms	y

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes30.0ms (1.4%)

Accuracy

Total -48.2b remaining (-357.8%)

Threshold costs -48.2b (-357.8%)

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:

17.0ms	x
12.0ms	y

Results

Error	Segments	Branch
14.3b	5	`x`
13.5b	3	`y`

Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch32.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	1.706400682227231e-16	0.0027100045923510586
16.0ms	-9.8307112374039e+105	-2.9784588964109082e+90

Compiler

Compiled 12 to 9 computations (25% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	36
1	19	36

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 x (/.f64 y 500))
(+.f64 (*.f64 1/500 y) x)
(if (<=.f64 y -9830711237403899424189892852562654967075236812397611010951216151036512779369916010497815253439209292169216) (.f64 1/500 y) (if (<=.f64 y 3460991758488335/20282409603651670423947251286016) x (.f64 1/500 y)))
x

Outputs
(+.f64 x (/.f64 y 500))
(+.f64 (*.f64 1/500 y) x)
(+.f64 x (*.f64 y 1/500))
(if (<=.f64 y -9830711237403899424189892852562654967075236812397611010951216151036512779369916010497815253439209292169216) (.f64 1/500 y) (if (<=.f64 y 3460991758488335/20282409603651670423947251286016) x (.f64 1/500 y)))
(if (<=.f64 y -9830711237403899424189892852562654967075236812397611010951216151036512779369916010497815253439209292169216) (.f64 y 1/500) (if (<=.f64 y 3460991758488335/20282409603651670423947251286016) x (.f64 y 1/500)))
x

end33.0ms (1.6%)

Stop Event

1×

fuel

Compiler

Compiled 62 to 42 computations (32.3% saved)

Details

analyze56.0ms (2.7%)

sample767.0ms (36.7%)

preprocess17.0ms (0.8%)

simplify8.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.3%)

series3.0ms (0.1%)

rewrite65.0ms (3.1%)

simplify9.0ms (0.4%)

eval17.0ms (0.8%)

prune7.0ms (0.4%)

localize27.0ms (1.3%)

series9.0ms (0.4%)

rewrite115.0ms (5.5%)

simplify168.0ms (8%)

localize3.0ms (0.2%)

series1.0ms (0%)

rewrite55.0ms (2.7%)

simplify7.0ms (0.4%)

localize6.0ms (0.3%)

series2.0ms (0.1%)

rewrite46.0ms (2.2%)

simplify7.0ms (0.3%)

eval253.0ms (12.1%)

prune66.0ms (3.2%)

localize20.0ms (0.9%)

series9.0ms (0.4%)

rewrite63.0ms (3%)

simplify64.0ms (3%)

eval55.0ms (2.6%)

prune21.0ms (1%)

eval0.0ms (0%)

prune5.0ms (0.2%)

regimes23.0ms (1.1%)

regimes10.0ms (0.5%)

regimes30.0ms (1.4%)

bsearch32.0ms (1.6%)

simplify3.0ms (0.1%)

end33.0ms (1.6%)

Profiling