Details

analyze197.0ms (6.7%)

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)

sample1.0s (35.4%)

Results

980.0ms

8256×

body

256

valid

preprocess27.0ms (0.9%)

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)

simplify13.0ms (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))

eval1.0ms (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)

localize11.0ms (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)

series5.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite116.0ms (4%)

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))))))

simplify161.0ms (5.5%)

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)

eval18.0ms (0.6%)

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

prune17.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	33	5	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	6	39

Error

Counts

39 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	33.7b	x
▶	0.1b	(+.f64 (*.f64 1/500 y) x)
▶	33.7b	(.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/250000)) (/.f64 1 (-.f64 x (*.f64 y 1/500))))
▶	30.2b	(*.f64 1/500 y)
✓	0.0b	(+.f64 x (/.f64 y 500))
▶	0.1b	(fma.f64 y 1/500 x)

Compiler

Compiled 47 to 33 computations (29.8% saved)

localize7.0ms (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)

series3.0ms (0.1%)

Counts

1 → 0

Calls

3 calls:

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

rewrite94.0ms (3.2%)

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))))))

simplify17.0ms (0.6%)

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

localize95.0ms (3.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (-.f64 x (*.f64 y 1/500)))
✓	0.6b	(.f64 (.f64 y y) 1/250000)
✓	3.2b	(-.f64 (.f64 x x) (.f64 (*.f64 y y) 1/250000))
✓	31.0b	(.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)

series24.0ms (0.8%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(-.f64 (.f64 x x) (.f64 (*.f64 y y) 1/250000))
2.0ms	x	@	0	(.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/250000)) (/.f64 1 (-.f64 x (*.f64 y 1/500))))
2.0ms	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))))

rewrite220.0ms (7.6%)

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	52
1	319	35
2	4385	31

Stop Event

1×	node limit

Counts

4 → 353

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 1 (-.f64 x (*.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 1/500 x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y 1/500 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y 1/500 x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y 1/500 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y 1/500 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 x x) (fma.f64 y -1/500 x)) (/.f64 (.f64 y (.f64 y 1/250000)) (fma.f64 y -1/500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x (.f64 (.f64 y 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) (fma.f64 x x (.f64 (.f64 y y) -1/250000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (.f64 (.f64 y y) -1/250000))) 2) (/.f64 (fma.f64 y -1/500 x) (cbrt.f64 (fma.f64 x x (.f64 (.f64 y y) -1/250000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 x (sqrt.f64 (.f64 (.f64 y y) -1/250000))) (/.f64 (fma.f64 y -1/500 x) (hypot.f64 x (sqrt.f64 (.f64 (.f64 y y) -1/250000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 6) (.f64 (pow.f64 (.f64 y y) 3) 1/15625000000000000)) (.f64 (fma.f64 y -1/500 x) (fma.f64 (.f64 y (.f64 y 1/250000)) (fma.f64 x x (.f64 y (.f64 y 1/250000))) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (.f64 (pow.f64 y 4) 1/62500000000)) (.f64 (fma.f64 y -1/500 x) (fma.f64 x x (.f64 y (.f64 y 1/250000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x (.f64 (.f64 y y) -1/250000))) (neg.f64 (fma.f64 y -1/500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 x 6) (.f64 (pow.f64 (.f64 y y) 3) 1/15625000000000000)) 1) (.f64 (fma.f64 (.f64 y (.f64 y 1/250000)) (fma.f64 x x (.f64 y (.f64 y 1/250000))) (pow.f64 x 4)) (fma.f64 y -1/500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 x 4) (.f64 (pow.f64 y 4) 1/62500000000)) 1) (.f64 (fma.f64 x x (.f64 y (.f64 y 1/250000))) (fma.f64 y -1/500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 x 6) (.f64 (pow.f64 (.f64 y y) 3) 1/15625000000000000)) -1) (.f64 (fma.f64 (.f64 y (.f64 y 1/250000)) (fma.f64 x x (.f64 y (.f64 y 1/250000))) (pow.f64 x 4)) (neg.f64 (fma.f64 y -1/500 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 x 4) (.f64 (pow.f64 y 4) 1/62500000000)) -1) (.f64 (fma.f64 x x (.f64 y (.f64 y 1/250000))) (neg.f64 (fma.f64 y -1/500 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 (-.f64 (pow.f64 x 6) (.f64 (pow.f64 (.f64 y y) 3) 1/15625000000000000))) (.f64 (neg.f64 (fma.f64 y -1/500 x)) (fma.f64 (.f64 y (.f64 y 1/250000)) (fma.f64 x x (.f64 y (.f64 y 1/250000))) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 (-.f64 (pow.f64 x 4) (.f64 (pow.f64 y 4) 1/62500000000))) (.f64 (neg.f64 (fma.f64 y -1/500 x)) (fma.f64 x x (.f64 y (.f64 y 1/250000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x x (.f64 (.f64 y 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 (fma.f64 x x (.f64 (.f64 y y) -1/250000)) 1) (fma.f64 y -1/500 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x x (.f64 (.f64 y 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 (pow.f64 x 3) (.f64 1/125000000 (pow.f64 y 3))) (fma.f64 x x (-.f64 (.f64 y (.f64 y 1/250000)) (.f64 x (.f64 y 1/500)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 x 6) (.f64 (pow.f64 (.f64 y y) 3) 1/15625000000000000)) (/.f64 1 (fma.f64 y -1/500 x))) (fma.f64 (.f64 y (.f64 y 1/250000)) (fma.f64 x x (.f64 y (.f64 y 1/250000))) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 x 4) (.f64 (pow.f64 y 4) 1/62500000000)) (/.f64 1 (fma.f64 y -1/500 x))) (fma.f64 x x (.f64 y (.f64 y 1/250000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 (fma.f64 x x (.f64 (.f64 y y) -1/250000))) (neg.f64 (fma.f64 y -1/500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 x x (.f64 (.f64 y y) -1/250000)) -1) (neg.f64 (fma.f64 y -1/500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 1 (fma.f64 y -1/500 x)) (-.f64 (pow.f64 x 6) (.f64 (pow.f64 (.f64 y y) 3) 1/15625000000000000))) (fma.f64 (.f64 y (.f64 y 1/250000)) (fma.f64 x x (.f64 y (.f64 y 1/250000))) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 1 (fma.f64 y -1/500 x)) (-.f64 (pow.f64 x 4) (.f64 (pow.f64 y 4) 1/62500000000))) (fma.f64 x x (.f64 y (.f64 y 1/250000))))))) (#(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 pow.f64 (/.f64 (fma.f64 y -1/500 x) (fma.f64 x x (.f64 (.f64 y y) -1/250000))) -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 (fma.f64 y 1/500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y 1/500 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 x) (pow.f64 (exp.f64 1/500) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 1/500) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (.f64 y 1/500)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (.f64 y 1/500)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 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simplify172.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

815×	`associate-/r*_binary64`
763×	`fma-def_binary64`
535×	`associate-*l/_binary64`
535×	`cancel-sign-sub-inv_binary64`
501×	`fma-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	53	966
1	136	936
2	387	930
3	1456	906
4	7291	894

Stop Event

1×	node limit

Counts

437 → 378

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

localize11.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 1/500 y) x)
	0.1b	(*.f64 1/500 y)

Compiler

Compiled 13 to 8 computations (38.5% saved)

series5.0ms (0.2%)

Counts

1 → 6

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(+.f64 (*.f64 1/500 y) x)
0.0ms	x	@	-inf	(+.f64 (*.f64 1/500 y) x)
0.0ms	y	@	-inf	(+.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)

rewrite66.0ms (2.3%)

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	1732	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 (pow.f64 (*.f64 1/500 y) 2) (-.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 (*.f64 (pow.f64 y 3) 1/125000000) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 1/500 y) 2) (*.f64 x (-.f64 x (*.f64 1/500 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 1/500 y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 1/500 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 1/500 y) 2) (*.f64 x (-.f64 x (*.f64 1/500 y)))) (+.f64 (*.f64 (pow.f64 y 3) 1/125000000) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 1/500 y) x) (-.f64 (pow.f64 (*.f64 1/500 y) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 y 3) 1/125000000) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 1/500 y) 2) (*.f64 x (-.f64 x (*.f64 1/500 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 y 3) 1/125000000) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 1/500 y) 2) (*.f64 1/500 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 1/500 y) 2) (*.f64 x x)) (-.f64 (*.f64 1/500 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 y 3) 1/125000000) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 1/500 y) 2) (*.f64 x (-.f64 x (*.f64 1/500 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 1/500 y) 2) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 1/500 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 1/500 y) 2)) (-.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 expm1.f64 (log1p.f64 (fma.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 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)))))

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

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 9 to 5 computations (44.4% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite47.0ms (1.6%)

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)))))))

simplify13.0ms (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

45 → 25

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)

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)

eval305.0ms (10.5%)

Compiler: Compiled 11277 to 6956 computations (38.3% saved)

prune77.0ms (2.7%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	489	1	490
Fresh	1	0	1
Picked	0	1	1
Done	0	4	4
Total	490	6	496

Error

Counts

496 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	33.7b	(.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/250000)) (/.f64 1 (-.f64 x (*.f64 y 1/500))))
✓	30.2b	(*.f64 1/500 y)
	33.7b	x
✓	0.0b	(+.f64 x (/.f64 y 500))
✓	0.1b	(+.f64 (*.f64 1/500 y) x)
✓	0.1b	(fma.f64 y 1/500 x)

Compiler

Compiled 47 to 33 computations (29.8% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	5	5
Total	6	6

Error

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	33.7b	(.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/250000)) (/.f64 1 (-.f64 x (*.f64 y 1/500))))
✓	30.2b	(*.f64 1/500 y)
	33.7b	x
✓	0.0b	(+.f64 x (/.f64 y 500))
✓	0.1b	(+.f64 (*.f64 1/500 y) x)
✓	0.1b	(fma.f64 y 1/500 x)

Compiler

Compiled 47 to 33 computations (29.8% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	5	5
Total	6	6

Error

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	33.7b	(.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/250000)) (/.f64 1 (-.f64 x (*.f64 y 1/500))))
✓	30.2b	(*.f64 1/500 y)
	33.7b	x
✓	0.0b	(+.f64 x (/.f64 y 500))
✓	0.1b	(+.f64 (*.f64 1/500 y) x)
✓	0.1b	(fma.f64 y 1/500 x)

Compiler

Compiled 47 to 33 computations (29.8% saved)

regimes25.0ms (0.8%)

Counts

7 → 1

Calls

Call 1

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

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 56 to 36 computations (35.7% saved)

regimes9.0ms (0.3%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
4.0ms	y

Results

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

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes30.0ms (1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

19.0ms	y
10.0ms	x

Results

Error	Segments	Branch
13.7b	3	`x`
16.2b	5	`y`

Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch30.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	6.937944541277839e+83	1.671743018299042e+88
15.0ms	-1.5941671742645593e+105	-1.5567513505981408e+100

Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
x
x

Outputs
x

Calls

2 calls:

4.0ms	y
3.0ms	x

Results

Error	Segments	Branch
33.7b	1	`x`
33.7b	1	`y`

Compiler

Compiled 10 to 6 computations (40% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	33
1	19	33

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 x (/.f64 y 500))
(+.f64 (*.f64 1/500 y) x)
(if (<=.f64 x -1594167174264559271769291104971389078828505150115143159394884553215852534389651102007721221652185878626304) x (if (<=.f64 x 693794454127783880367632295558852175398271537370881837866271084823722900309336391680) (*.f64 1/500 y) x))
x

Outputs
(+.f64 x (/.f64 y 500))
(+.f64 (*.f64 1/500 y) x)
(+.f64 x (*.f64 y 1/500))
(if (<=.f64 x -1594167174264559271769291104971389078828505150115143159394884553215852534389651102007721221652185878626304) x (if (<=.f64 x 693794454127783880367632295558852175398271537370881837866271084823722900309336391680) (*.f64 1/500 y) x))
(if (<=.f64 x -1594167174264559271769291104971389078828505150115143159394884553215852534389651102007721221652185878626304) x (if (<=.f64 x 693794454127783880367632295558852175398271537370881837866271084823722900309336391680) (*.f64 y 1/500) x))
x

Compiler

Compiled 32 to 22 computations (31.3% saved)

soundness0.0ms (0%)

end35.0ms (1.2%)

Compiler: Compiled 26 to 16 computations (38.5% saved)

Details

analyze197.0ms (6.7%)

sample1.0s (35.4%)

preprocess27.0ms (0.9%)

simplify13.0ms (0.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize11.0ms (0.4%)

series5.0ms (0.2%)

rewrite116.0ms (4%)

simplify161.0ms (5.5%)

eval18.0ms (0.6%)

prune17.0ms (0.6%)

localize7.0ms (0.2%)

series3.0ms (0.1%)

rewrite94.0ms (3.2%)

simplify17.0ms (0.6%)

localize95.0ms (3.3%)

series24.0ms (0.8%)

rewrite220.0ms (7.6%)

simplify172.0ms (5.9%)

localize11.0ms (0.4%)

series5.0ms (0.2%)

rewrite66.0ms (2.3%)

simplify7.0ms (0.3%)

localize6.0ms (0.2%)

series2.0ms (0.1%)

rewrite47.0ms (1.6%)

simplify13.0ms (0.4%)

eval305.0ms (10.5%)

prune77.0ms (2.7%)

eval0.0ms (0%)

prune3.0ms (0.1%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes25.0ms (0.8%)

regimes9.0ms (0.3%)

regimes30.0ms (1%)

bsearch30.0ms (1%)

regimes9.0ms (0.3%)

simplify4.0ms (0.2%)

soundness0.0ms (0%)

end35.0ms (1.2%)

Profiling