Details

analyze52.0ms (2.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	6
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	7
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	8
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	9
82%	82%	18%	0.1%	0%	0%	0%	10
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	11
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample716.0ms (40.4%)

Results

668.0ms	8227×	body	256	valid
27.0ms	13×	body	1024	valid
6.0ms	87×	body	256	infinite
3.0ms	8×	body	2048	valid
1.0ms	8×	body	512	valid

Bogosity

preprocess42.0ms (2.4%)

Algorithm

2×	egg-herbie

Rules

240×	`fma-def`
76×	`associate--r+`
56×	`*-commutative`
48×	`+-commutative`
44×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	16	26
2	36	26
3	67	26
4	113	26
5	190	26
6	309	26
7	399	26
8	447	26
9	449	26
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(*.f64 500 (-.f64 x y))
(*.f64 500 (-.f64 y x))

Outputs
(*.f64 500 (-.f64 x y))
(*.f64 500 (-.f64 y x))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify25.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

232×	`fma-def`
82×	`associate--r+`
64×	`associate-+l-`
54×	`*-commutative`
54×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	11	13
2	22	13
3	42	13
4	64	13
5	95	13
6	181	13
7	285	13
8	386	13
9	456	13
10	526	13
11	542	13

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 500 (-.f64 x y))

Outputs
(*.f64 500 (-.f64 x y))

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

0.05%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.05%	(*.f64 500 (-.f64 x y))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize11.0ms (0.6%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.05%	(*.f64 500 (-.f64 x y))

Compiler

Compiled 13 to 6 computations (53.8% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite92.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1626×	`add-sqr-sqrt`
1602×	`*-un-lft-identity`
1504×	`add-cube-cbrt`
1490×	`add-cbrt-cube`
154×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	151	13
2	1949	13

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

Inputs
(*.f64 500 (-.f64 x y))

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

Outputs

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

simplify80.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

1274×	`fma-def`
862×	`associate-r`
774×	`associate-l`
588×	`associate-+r+`
570×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	67	669
1	167	599
2	472	599
3	3081	599
4	7647	599

Stop Event

1×	node limit

Counts

43 → 28

Calls

Call 1

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

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

eval5.0ms (0.3%)

Compiler: Compiled 279 to 159 computations (43% saved)

prune5.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	24	4	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	5	29

Error

Counts

29 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.01%	(fma.f64 500 x (*.f64 -500 y))
▶	0.03%	(+.f64 (.f64 500 x) (.f64 -500 y))
✓	0.05%	(*.f64 500 (-.f64 x y))
▶	47.66%	(*.f64 500 x)
▶	51.95%	(*.f64 -500 y)

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize3.0ms (0.2%)

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

localize3.0ms (0.2%)

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

localize44.0ms (2.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.03%	(+.f64 (.f64 500 x) (.f64 -500 y))

Compiler

Compiled 19 to 13 computations (31.6% saved)

series1.0ms (0.1%)

Counts

1 → 6

Calls

6 calls:

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

rewrite82.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1946×	`add-sqr-sqrt`
1914×	`*-un-lft-identity`
1794×	`add-cube-cbrt`
1778×	`add-cbrt-cube`
188×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	192	15
2	2379	15

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

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

Outputs

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

simplify61.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1484×	`associate-r`
1254×	`associate-l`
858×	`associate-*r/`
688×	`associate-*l/`
672×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	104	1135
1	258	1039
2	990	943
3	5532	943

Stop Event

1×	node limit

Counts

45 → 49

Calls

Call 1

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

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

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(fma.f64 500 x (*.f64 -500 y))

Compiler

Compiled 15 to 10 computations (33.3% saved)

series1.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite84.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1606×	`add-sqr-sqrt`
1580×	`*-un-lft-identity`
1466×	`add-cube-cbrt`
1452×	`add-cbrt-cube`
1436×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	179	15
2	1967	15

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(fma.f64 500 x (*.f64 -500 y))

Outputs

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

simplify51.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1324×	`distribute-lft-in`
1230×	`distribute-rgt-in`
1038×	`associate-r`
900×	`*-commutative`
788×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	758
1	164	726
2	724	716
3	3225	714

Stop Event

1×	node limit

Counts

46 → 33

Calls

Call 1

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

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

eval78.0ms (4.4%)

Compiler: Compiled 1120 to 761 computations (32.1% saved)

prune8.0ms (0.5%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	82	5	87

Error

Counts

87 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.01%	(fma.f64 500 x (*.f64 -500 y))
✓	0.03%	(+.f64 (.f64 500 x) (.f64 -500 y))
✓	0.05%	(*.f64 500 (-.f64 x y))
✓	47.66%	(*.f64 500 x)
✓	51.95%	(*.f64 -500 y)

Compiler

Compiled 34 to 26 computations (23.5% saved)

regimes23.0ms (1.3%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(fma.f64 500 x (*.f64 -500 y))

Calls

4 calls:

7.0ms	x
6.0ms	(-.f64 x y)
5.0ms	(*.f64 500 (-.f64 x y))
4.0ms	y

Results

Error	Segments	Branch
0.01%	1	`x`
0.01%	1	`y`
0.01%	1	`(*.f64 500 (-.f64 x y))`
0.01%	1	`(-.f64 x y)`

Compiler

Compiled 44 to 30 computations (31.8% saved)

regimes20.0ms (1.1%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 -500 y)
(*.f64 500 x)
(*.f64 500 (-.f64 x y))
(+.f64 (.f64 500 x) (.f64 -500 y))

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

Calls

4 calls:

6.0ms	y
4.0ms	(-.f64 x y)
4.0ms	(*.f64 500 (-.f64 x y))
4.0ms	x

Results

Error	Segments	Branch
0.03%	1	`x`
0.03%	1	`y`
0.03%	1	`(*.f64 500 (-.f64 x y))`
0.03%	1	`(-.f64 x y)`

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes18.0ms (1%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 -500 y)
(*.f64 500 x)
(*.f64 500 (-.f64 x y))

Outputs
(*.f64 500 (-.f64 x y))

Calls

4 calls:

7.0ms	(-.f64 x y)
4.0ms	(*.f64 500 (-.f64 x y))
4.0ms	x
4.0ms	y

Results

Error	Segments	Branch
0.05%	1	`x`
0.05%	1	`y`
0.05%	1	`(*.f64 500 (-.f64 x y))`
0.05%	1	`(-.f64 x y)`

Compiler

Compiled 31 to 21 computations (32.3% saved)

regimes27.0ms (1.5%)

Accuracy

Total -48b remaining (-347.7%)

Threshold costs -48b (-347.7%)

Counts

2 → 5

Calls

Call 1

Inputs
(*.f64 -500 y)
(*.f64 500 x)

Outputs
(*.f64 -500 y)
(*.f64 500 x)
(*.f64 -500 y)
(*.f64 500 x)
(*.f64 -500 y)

Calls

2 calls:

17.0ms	y
9.0ms	x

Results

Error	Segments	Branch
22.96%	3	`x`
21.57%	5	`y`

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch72.0ms (4%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
14.0ms	7.3828534105045925e+87	1.8373116979809537e+95
30.0ms	-7.616651972071171e-85	-3.162550871229925e-90
18.0ms	-2.605684928957189e-58	-8.772200038516208e-64
10.0ms	-3.3105382730358255e-26	-4.370637392433643e-28

Results

65.0ms

544×

body

256

valid

Compiler

Compiled 420 to 349 computations (16.9% saved)

simplify8.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

8×	`not-or`
8×	`*-commutative`
6×	`+-commutative`
6×	`not-not`
6×	`if-if-or-not`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	125
1	40	125
2	48	125
3	56	121
4	61	121
5	65	121
6	66	121
7	67	121

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(fma.f64 500 x (*.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(*.f64 500 (-.f64 x y))
(if (<=.f64 y -2439144006089287/696898287454081973172991196020261297061888) (.f64 -500 y) (if (<=.f64 y -2408475456136177/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (.f64 500 x) (if (<=.f64 y -46479077901639/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432) (.f64 -500 y) (if (<=.f64 y 7500000000000000137337199617223802882014345858093014754394016792455018952533708514525184) (.f64 500 x) (*.f64 -500 y)))))
(*.f64 -500 y)

Outputs
(fma.f64 500 x (*.f64 -500 y))
(+.f64 (.f64 500 x) (.f64 -500 y))
(+.f64 (.f64 -500 y) (.f64 500 x))
(*.f64 500 (-.f64 x y))
(if (<=.f64 y -2439144006089287/696898287454081973172991196020261297061888) (.f64 -500 y) (if (<=.f64 y -2408475456136177/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (.f64 500 x) (if (<=.f64 y -46479077901639/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432) (.f64 -500 y) (if (<=.f64 y 7500000000000000137337199617223802882014345858093014754394016792455018952533708514525184) (.f64 500 x) (*.f64 -500 y)))))
(if (<=.f64 y -2439144006089287/696898287454081973172991196020261297061888) (.f64 -500 y) (if (or (<=.f64 y -2408475456136177/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (and (not (<=.f64 y -46479077901639/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432)) (<=.f64 y 7500000000000000137337199617223802882014345858093014754394016792455018952533708514525184))) (.f64 500 x) (*.f64 -500 y)))
(*.f64 -500 y)

Compiler

Compiled 57 to 43 computations (24.6% saved)

soundness116.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

1274×	`fma-def`
862×	`associate-r`
774×	`associate-l`
588×	`associate-+r+`
570×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	67	669
1	167	599
2	472	599
3	3081	599
4	7647	599

Stop Event

1×	node limit

Compiler

Compiled 15 to 11 computations (26.7% saved)

end35.0ms (2%)

Compiler: Compiled 49 to 35 computations (28.6% saved)

Iter	Nodes	Cost
0	7	13
1	11	13
2	22	13
3	42	13
4	64	13
5	95	13
6	181	13
7	285	13
8	386	13
9	456	13
10	526	13
11	542	13

Iter	Nodes	Cost
0	7	13
1	11	13
2	22	13
3	42	13
4	64	13
5	95	13
6	181	13
7	285	13
8	386	13
9	456	13
10	526	13
11	542	13

Details

analyze52.0ms (2.9%)

sample716.0ms (40.4%)

preprocess42.0ms (2.4%)

simplify25.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize11.0ms (0.6%)

series2.0ms (0.1%)

rewrite92.0ms (5.2%)

simplify80.0ms (4.5%)

eval5.0ms (0.3%)

prune5.0ms (0.3%)

localize3.0ms (0.2%)

localize3.0ms (0.2%)

localize44.0ms (2.5%)

series1.0ms (0.1%)

rewrite82.0ms (4.6%)

simplify61.0ms (3.4%)

localize6.0ms (0.3%)

series1.0ms (0.1%)

rewrite84.0ms (4.7%)

simplify51.0ms (2.9%)

eval78.0ms (4.4%)

prune8.0ms (0.5%)

regimes23.0ms (1.3%)

regimes20.0ms (1.1%)

regimes18.0ms (1%)

regimes27.0ms (1.5%)

bsearch72.0ms (4%)

simplify8.0ms (0.5%)

soundness116.0ms (6.6%)

end35.0ms (2%)

Profiling

Iter	Nodes	Cost
0	7	13
1	11	13
2	22	13
3	42	13
4	64	13
5	95	13
6	181	13
7	285	13
8	386	13
9	456	13
10	526	13
11	542	13