Details

analyze44.0ms (3.4%)

Algorithm

1×

Search

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

Compiler

Compiled 8 to 6 computations (25% saved)

sample686.0ms (53%)

Results

664.0ms	8223×	body	256	valid
5.0ms	76×	body	256	infinite
3.0ms	16×	body	1024	valid
1.0ms	11×	body	512	valid
1.0ms	6×	body	2048	valid

Bogosity

preprocess24.0ms (1.8%)

Algorithm

2×	egg-herbie

Rules

86×	`fma-neg_binary64`
48×	`fma-def_binary64`
26×	`cancel-sign-sub-inv_binary64`
24×	`distribute-rgt-in_binary64`
22×	`associate--r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	14	14
2	34	14
3	70	14
4	114	14
5	185	14
6	273	14
7	374	14
8	422	14
9	424	14
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)

simplify17.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

113×	`fma-def_binary64`
83×	`fma-neg_binary64`
31×	`distribute-rgt-in_binary64`
27×	`cancel-sign-sub-inv_binary64`
19×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	20	7
3	40	7
4	67	7
5	96	7
6	167	7
7	270	7
8	383	7
9	456	7
10	540	7
11	556	7

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 (0.1%)

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 500 (-.f64 x y))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 500 (-.f64 x y))

Compiler

Compiled 13 to 6 computations (53.8% saved)

series10.0ms (0.7%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(*.f64 500 (-.f64 x y))
1.0ms	x	@	0	(*.f64 500 (-.f64 x y))
1.0ms	x	@	-inf	(*.f64 500 (-.f64 x y))
1.0ms	y	@	inf	(*.f64 500 (-.f64 x y))
1.0ms	y	@	-inf	(*.f64 500 (-.f64 x y))

Compiler

Compiled 216 to 174 computations (19.4% saved)

rewrite40.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

703×	`pow1_binary64`
657×	`add-log-exp_binary64`
657×	`log1p-expm1-u_binary64`
657×	`expm1-log1p-u_binary64`
644×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	131	7
2	1735	7

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

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

Outputs

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

simplify44.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

622×	`log-prod_binary64`
604×	`fma-def_binary64`
427×	`*-commutative_binary64`
352×	`associate-l_binary64`
344×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	60	340
1	155	307
2	477	307
3	2917	307
4	7235	307

Stop Event

1×	node limit

Counts

41 → 25

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

eval5.0ms (0.4%)

Compiler: Compiled 243 to 137 computations (43.6% saved)

prune5.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	21	4	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	5	26

Error

Counts

26 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(fma.f64 500 x (*.f64 -500 y))
▶	0.0b	(+.f64 (.f64 500 x) (.f64 -500 y))
✓	0.0b	(*.f64 500 (-.f64 x y))
▶	32.5b	(*.f64 500 x)
▶	30.4b	(*.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)

localize4.0ms (0.3%)

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

localize7.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

series5.0ms (0.3%)

Counts

1 → 6

Calls

6 calls:

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

Compiler

Compiled 216 to 174 computations (19.4% saved)

rewrite48.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

850×	`pow1_binary64`
793×	`add-log-exp_binary64`
793×	`log1p-expm1-u_binary64`
793×	`expm1-log1p-u_binary64`
778×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	171	8
2	2167	8

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

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

Outputs

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

simplify47.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

990×	`fma-neg_binary64`
561×	`associate-l_binary64`
550×	`div-sub_binary64`
485×	`associate-r_binary64`
264×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	758
1	233	640
2	803	529
3	5676	524

Stop Event

1×	node limit

Counts

43 → 48

Calls

Call 1

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

Outputs
(*.f64 -500 y)
(*.f64 500 x)
(*.f64 500 x)
(*.f64 500 x)
(*.f64 -500 y)
(*.f64 -500 y)
(-.f64 (+.f64 1 (fma.f64 500 x (*.f64 -500 y))) 1)
(+.f64 1 (-.f64 (fma.f64 500 x (*.f64 -500 y)) 1))
(+.f64 (fma.f64 -500 y (*.f64 500 x)) 0)
(fma.f64 -500 y (*.f64 500 x))
(-.f64 (/.f64 (pow.f64 (.f64 500 x) 2) (+.f64 (.f64 500 x) (.f64 500 y))) (/.f64 (pow.f64 (.f64 -500 y) 2) (+.f64 (.f64 500 x) (.f64 500 y))))
(/.f64 (-.f64 (pow.f64 (.f64 500 x) 2) (pow.f64 (.f64 -500 y) 2)) (*.f64 500 (+.f64 x y)))
(.f64 (-.f64 (.f64 (.f64 x x) 250000) (.f64 (*.f64 y y) 250000)) (/.f64 1/500 (+.f64 y x)))
(/.f64 (.f64 250000 (-.f64 (.f64 y y) (.f64 x x))) (.f64 -500 (+.f64 y x)))
(.f64 (fma.f64 500 x (.f64 -500 y)) 1)
(+.f64 1 (-.f64 (fma.f64 500 x (*.f64 -500 y)) 1))
(+.f64 (fma.f64 -500 y (*.f64 500 x)) 0)
(fma.f64 -500 y (*.f64 500 x))
(.f64 1 (fma.f64 500 x (.f64 -500 y)))
(+.f64 1 (-.f64 (fma.f64 500 x (*.f64 -500 y)) 1))
(+.f64 (fma.f64 -500 y (*.f64 500 x)) 0)
(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))
(+.f64 1 (-.f64 (fma.f64 500 x (*.f64 -500 y)) 1))
(+.f64 (fma.f64 -500 y (*.f64 500 x)) 0)
(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))))
(+.f64 1 (-.f64 (fma.f64 500 x (*.f64 -500 y)) 1))
(+.f64 (fma.f64 -500 y (*.f64 500 x)) 0)
(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))))
(+.f64 1 (-.f64 (fma.f64 500 x (*.f64 -500 y)) 1))
(+.f64 (fma.f64 -500 y (*.f64 500 x)) 0)
(fma.f64 -500 y (*.f64 500 x))
(.f64 (+.f64 (.f64 125000000 (pow.f64 x 3)) (.f64 -125000000 (pow.f64 y 3))) (/.f64 1 (+.f64 (pow.f64 (.f64 500 x) 2) (.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) (+.f64 (pow.f64 (.f64 500 x) 2) (.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 (.f64 -500 y) (.f64 -500 (+.f64 y x)) (.f64 (*.f64 x x) 250000)))
(/.f64 (fma.f64 125000000 (pow.f64 x 3) (.f64 -125000000 (pow.f64 y 3))) (fma.f64 y (.f64 y 250000) (.f64 x (.f64 250000 (+.f64 y x)))))
(/.f64 (.f64 125000000 (-.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 x (.f64 x -250000) (.f64 (.f64 y -250000) (+.f64 y x))))
(.f64 (-.f64 (pow.f64 (.f64 500 x) 2) (pow.f64 (.f64 -500 y) 2)) (/.f64 1 (+.f64 (.f64 500 x) (*.f64 500 y))))
(/.f64 (-.f64 (pow.f64 (.f64 500 x) 2) (pow.f64 (.f64 -500 y) 2)) (*.f64 500 (+.f64 x y)))
(.f64 (-.f64 (.f64 (.f64 x x) 250000) (.f64 (*.f64 y y) 250000)) (/.f64 1/500 (+.f64 y x)))
(/.f64 (.f64 250000 (-.f64 (.f64 y y) (.f64 x x))) (.f64 -500 (+.f64 y x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 500 x) 2) (.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) (+.f64 (pow.f64 (.f64 500 x) 2) (.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 (.f64 -500 y) (.f64 -500 (+.f64 y x)) (.f64 (*.f64 x x) 250000)))
(/.f64 (fma.f64 125000000 (pow.f64 x 3) (.f64 -125000000 (pow.f64 y 3))) (fma.f64 y (.f64 y 250000) (.f64 x (.f64 250000 (+.f64 y x)))))
(/.f64 (.f64 125000000 (-.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 x (.f64 x -250000) (.f64 (.f64 y -250000) (+.f64 y x))))
(/.f64 1 (/.f64 (+.f64 (.f64 500 x) (.f64 500 y)) (-.f64 (pow.f64 (.f64 500 x) 2) (pow.f64 (.f64 -500 y) 2))))
(/.f64 (-.f64 (pow.f64 (.f64 500 x) 2) (pow.f64 (.f64 -500 y) 2)) (*.f64 500 (+.f64 x y)))
(.f64 (-.f64 (.f64 (.f64 x x) 250000) (.f64 (*.f64 y y) 250000)) (/.f64 1/500 (+.f64 y x)))
(/.f64 (.f64 250000 (-.f64 (.f64 y y) (.f64 x x))) (.f64 -500 (+.f64 y x)))
(/.f64 (+.f64 (.f64 125000000 (pow.f64 x 3)) (.f64 -125000000 (pow.f64 y 3))) (+.f64 (pow.f64 (.f64 500 x) 2) (.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) (+.f64 (pow.f64 (.f64 500 x) 2) (.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 (.f64 -500 y) (.f64 -500 (+.f64 y x)) (.f64 (*.f64 x x) 250000)))
(/.f64 (fma.f64 125000000 (pow.f64 x 3) (.f64 -125000000 (pow.f64 y 3))) (fma.f64 y (.f64 y 250000) (.f64 x (.f64 250000 (+.f64 y x)))))
(/.f64 (.f64 125000000 (-.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 x (.f64 x -250000) (.f64 (.f64 y -250000) (+.f64 y x))))
(/.f64 (+.f64 (.f64 125000000 (pow.f64 x 3)) (.f64 -125000000 (pow.f64 y 3))) (+.f64 (pow.f64 (.f64 -500 y) 2) (-.f64 (pow.f64 (.f64 500 x) 2) (.f64 500 (.f64 x (*.f64 -500 y))))))
(/.f64 (.f64 (fma.f64 125000000 (pow.f64 x 3) (.f64 -125000000 (pow.f64 y 3))) 1) (+.f64 (pow.f64 (.f64 500 x) 2) (.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 (.f64 -500 y) (.f64 -500 (+.f64 y x)) (.f64 (*.f64 x x) 250000)))
(/.f64 (fma.f64 125000000 (pow.f64 x 3) (.f64 -125000000 (pow.f64 y 3))) (fma.f64 y (.f64 y 250000) (.f64 x (.f64 250000 (+.f64 y x)))))
(/.f64 (.f64 125000000 (-.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 x (.f64 x -250000) (.f64 (.f64 y -250000) (+.f64 y x))))
(/.f64 (-.f64 (pow.f64 (.f64 500 x) 2) (pow.f64 (.f64 -500 y) 2)) (+.f64 (.f64 500 x) (.f64 500 y)))
(/.f64 (-.f64 (pow.f64 (.f64 500 x) 2) (pow.f64 (.f64 -500 y) 2)) (*.f64 500 (+.f64 x y)))
(.f64 (-.f64 (.f64 (.f64 x x) 250000) (.f64 (*.f64 y y) 250000)) (/.f64 1/500 (+.f64 y x)))
(/.f64 (.f64 250000 (-.f64 (.f64 y y) (.f64 x x))) (.f64 -500 (+.f64 y x)))
(/.f64 (neg.f64 (+.f64 (.f64 125000000 (pow.f64 x 3)) (.f64 -125000000 (pow.f64 y 3)))) (neg.f64 (+.f64 (pow.f64 (.f64 500 x) 2) (.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) (+.f64 (pow.f64 (.f64 500 x) 2) (.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 (.f64 -500 y) (.f64 -500 (+.f64 y x)) (.f64 (*.f64 x x) 250000)))
(/.f64 (fma.f64 125000000 (pow.f64 x 3) (.f64 -125000000 (pow.f64 y 3))) (fma.f64 y (.f64 y 250000) (.f64 x (.f64 250000 (+.f64 y x)))))
(/.f64 (.f64 125000000 (-.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 x (.f64 x -250000) (.f64 (.f64 y -250000) (+.f64 y x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 500 x) 2) (pow.f64 (.f64 -500 y) 2))) (neg.f64 (+.f64 (.f64 500 x) (.f64 500 y))))
(/.f64 (-.f64 (pow.f64 (.f64 500 x) 2) (pow.f64 (.f64 -500 y) 2)) (*.f64 500 (+.f64 x y)))
(.f64 (-.f64 (.f64 (.f64 x x) 250000) (.f64 (*.f64 y y) 250000)) (/.f64 1/500 (+.f64 y x)))
(/.f64 (.f64 250000 (-.f64 (.f64 y y) (.f64 x x))) (.f64 -500 (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 (.f64 -500 y) 2) (pow.f64 (.f64 500 x) 2)) (-.f64 (.f64 -500 y) (.f64 500 x)))
(/.f64 (-.f64 (pow.f64 (.f64 500 x) 2) (pow.f64 (.f64 -500 y) 2)) (*.f64 500 (+.f64 x y)))
(.f64 (-.f64 (.f64 (.f64 x x) 250000) (.f64 (*.f64 y y) 250000)) (/.f64 1/500 (+.f64 y x)))
(/.f64 (.f64 250000 (-.f64 (.f64 y y) (.f64 x x))) (.f64 -500 (+.f64 y x)))
(pow.f64 (fma.f64 500 x (*.f64 -500 y)) 1)
(+.f64 1 (-.f64 (fma.f64 500 x (*.f64 -500 y)) 1))
(+.f64 (fma.f64 -500 y (*.f64 500 x)) 0)
(fma.f64 -500 y (*.f64 500 x))
(pow.f64 (pow.f64 (fma.f64 500 x (*.f64 -500 y)) 3) 1/3)
(+.f64 1 (-.f64 (fma.f64 500 x (*.f64 -500 y)) 1))
(+.f64 (fma.f64 -500 y (*.f64 500 x)) 0)
(fma.f64 -500 y (*.f64 500 x))
(pow.f64 (cbrt.f64 (fma.f64 500 x (*.f64 -500 y))) 3)
(+.f64 1 (-.f64 (fma.f64 500 x (*.f64 -500 y)) 1))
(+.f64 (fma.f64 -500 y (*.f64 500 x)) 0)
(fma.f64 -500 y (*.f64 500 x))
(pow.f64 (sqrt.f64 (fma.f64 500 x (*.f64 -500 y))) 2)
(+.f64 1 (-.f64 (fma.f64 500 x (*.f64 -500 y)) 1))
(+.f64 (fma.f64 -500 y (*.f64 500 x)) 0)
(fma.f64 -500 y (*.f64 500 x))
(sqrt.f64 (pow.f64 (fma.f64 500 x (*.f64 -500 y)) 2))
(+.f64 1 (-.f64 (fma.f64 500 x (*.f64 -500 y)) 1))
(+.f64 (fma.f64 -500 y (*.f64 500 x)) 0)
(fma.f64 -500 y (*.f64 500 x))
(log.f64 (exp.f64 (fma.f64 500 x (*.f64 -500 y))))
(+.f64 1 (-.f64 (fma.f64 500 x (*.f64 -500 y)) 1))
(+.f64 (fma.f64 -500 y (*.f64 500 x)) 0)
(fma.f64 -500 y (*.f64 500 x))
(cbrt.f64 (pow.f64 (fma.f64 500 x (*.f64 -500 y)) 3))
(+.f64 1 (-.f64 (fma.f64 500 x (*.f64 -500 y)) 1))
(+.f64 (fma.f64 -500 y (*.f64 500 x)) 0)
(fma.f64 -500 y (*.f64 500 x))
(expm1.f64 (log1p.f64 (fma.f64 500 x (*.f64 -500 y))))
(+.f64 1 (-.f64 (fma.f64 500 x (*.f64 -500 y)) 1))
(+.f64 (fma.f64 -500 y (*.f64 500 x)) 0)
(fma.f64 -500 y (*.f64 500 x))
(log1p.f64 (expm1.f64 (fma.f64 500 x (*.f64 -500 y))))
(+.f64 1 (-.f64 (fma.f64 500 x (*.f64 -500 y)) 1))
(+.f64 (fma.f64 -500 y (*.f64 500 x)) 0)
(fma.f64 -500 y (*.f64 500 x))
(exp.f64 (log.f64 (fma.f64 500 x (*.f64 -500 y))))
(+.f64 1 (-.f64 (fma.f64 500 x (*.f64 -500 y)) 1))
(+.f64 (fma.f64 -500 y (*.f64 500 x)) 0)
(fma.f64 -500 y (*.f64 500 x))
(fma.f64 500 x (*.f64 -500 y))
(+.f64 1 (-.f64 (fma.f64 500 x (*.f64 -500 y)) 1))
(+.f64 (fma.f64 -500 y (*.f64 500 x)) 0)
(fma.f64 -500 y (*.f64 500 x))
(fma.f64 x 500 (*.f64 -500 y))
(+.f64 1 (-.f64 (fma.f64 500 x (*.f64 -500 y)) 1))
(+.f64 (fma.f64 -500 y (*.f64 500 x)) 0)
(fma.f64 -500 y (*.f64 500 x))
(fma.f64 -500 y (*.f64 500 x))
(+.f64 1 (-.f64 (fma.f64 500 x (*.f64 -500 y)) 1))
(+.f64 (fma.f64 -500 y (*.f64 500 x)) 0)
(fma.f64 y -500 (*.f64 500 x))
(+.f64 1 (-.f64 (fma.f64 500 x (*.f64 -500 y)) 1))
(+.f64 (fma.f64 -500 y (*.f64 500 x)) 0)
(fma.f64 -500 y (*.f64 500 x))
(fma.f64 1 (.f64 500 x) (.f64 -500 y))
(+.f64 1 (-.f64 (fma.f64 500 x (*.f64 -500 y)) 1))
(+.f64 (fma.f64 -500 y (*.f64 500 x)) 0)
(fma.f64 -500 y (*.f64 500 x))
(fma.f64 1 (.f64 -500 y) (.f64 500 x))
(+.f64 1 (-.f64 (fma.f64 500 x (*.f64 -500 y)) 1))
(+.f64 (fma.f64 -500 y (*.f64 500 x)) 0)
(fma.f64 -500 y (*.f64 500 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -500 y)) 2) (cbrt.f64 (.f64 -500 y)) (*.f64 500 x))
(+.f64 1 (-.f64 (fma.f64 500 x (*.f64 -500 y)) 1))
(+.f64 (fma.f64 -500 y (*.f64 500 x)) 0)
(fma.f64 -500 y (*.f64 500 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 500 x)) 2) (cbrt.f64 (.f64 500 x)) (*.f64 -500 y))
(+.f64 1 (-.f64 (fma.f64 500 x (*.f64 -500 y)) 1))
(+.f64 (fma.f64 -500 y (*.f64 500 x)) 0)
(fma.f64 -500 y (*.f64 500 x))
(fma.f64 (sqrt.f64 (.f64 -500 y)) (sqrt.f64 (.f64 -500 y)) (*.f64 500 x))
(+.f64 1 (-.f64 (fma.f64 500 x (*.f64 -500 y)) 1))
(+.f64 (fma.f64 -500 y (*.f64 500 x)) 0)
(fma.f64 -500 y (*.f64 500 x))
(fma.f64 (sqrt.f64 (.f64 500 x)) (sqrt.f64 (.f64 500 x)) (*.f64 -500 y))
(+.f64 1 (-.f64 (fma.f64 500 x (*.f64 -500 y)) 1))
(+.f64 (fma.f64 -500 y (*.f64 500 x)) 0)
(fma.f64 -500 y (*.f64 500 x))

localize6.0ms (0.4%)

Compiler: Compiled 15 to 10 computations (33.3% saved)

eval14.0ms (1.1%)

Compiler: Compiled 709 to 535 computations (24.5% saved)

prune14.0ms (1.1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	48	5	53

Error

Counts

53 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(fma.f64 500 x (*.f64 -500 y))
✓	0.0b	(+.f64 (.f64 500 x) (.f64 -500 y))
✓	0.0b	(*.f64 500 (-.f64 x y))
✓	32.5b	(*.f64 500 x)
✓	30.4b	(*.f64 -500 y)

Compiler

Compiled 34 to 26 computations (23.5% saved)

regimes17.0ms (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:

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

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`y`
0b	1	`(*.f64 500 (-.f64 x y))`
0b	1	`(-.f64 x y)`

Compiler

Compiled 44 to 30 computations (31.8% saved)

regimes17.0ms (1.3%)

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:

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

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(*.f64 500 (-.f64 x y))`
0.0b	1	`(-.f64 x y)`

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes16.0ms (1.2%)

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:

5.0ms	(-.f64 x y)
3.0ms	(*.f64 500 (-.f64 x y))
3.0ms	y
3.0ms	x

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(*.f64 500 (-.f64 x y))`
0.0b	1	`(-.f64 x y)`

Compiler

Compiled 31 to 21 computations (32.3% saved)

regimes58.0ms (4.5%)

Accuracy

Total -47.8b remaining (-342.1%)

Threshold costs -47.8b (-342.1%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

47.0ms	y
10.0ms	x

Results

Error	Segments	Branch
15.1b	3	`x`
14.0b	3	`y`

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch26.0ms (2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
11.0ms	3.1817805560465047e-70	1.0758726331538762e-66
15.0ms	-3.4870547999352304e-14	-7.105418254150075e-20

Results

23.0ms

272×

body

256

valid

Compiler

Compiled 216 to 179 computations (17.1% saved)

simplify7.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
3×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	53
1	24	53
2	29	53
3	31	53
4	32	53

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 -8473828473128839/83076749736557242056487941267521536) (.f64 -500 y) (if (<=.f64 y 466240534134175/971334446112864535459730953411759453321203419526069760625906204869452142602604249088) (.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 -8473828473128839/83076749736557242056487941267521536) (.f64 -500 y) (if (<=.f64 y 466240534134175/971334446112864535459730953411759453321203419526069760625906204869452142602604249088) (.f64 500 x) (*.f64 -500 y)))
(*.f64 -500 y)

Compiler

Compiled 48 to 36 computations (25% saved)

soundness93.0ms (7.2%)

Algorithm

1×	egg-herbie

Rules

622×	`log-prod_binary64`
604×	`fma-def_binary64`
427×	`*-commutative_binary64`
352×	`associate-l_binary64`
344×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	60	340
1	155	307
2	477	307
3	2917	307
4	7235	307

Stop Event

1×	node limit

Compiler

Compiled 17 to 13 computations (23.5% saved)

end35.0ms (2.7%)

Compiler: Compiled 40 to 28 computations (30% saved)

Details

analyze44.0ms (3.4%)

sample686.0ms (53%)

preprocess24.0ms (1.8%)

simplify17.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize4.0ms (0.3%)

series10.0ms (0.7%)

rewrite40.0ms (3.1%)

simplify44.0ms (3.4%)

eval5.0ms (0.4%)

prune5.0ms (0.4%)

localize3.0ms (0.2%)

localize4.0ms (0.3%)

localize7.0ms (0.5%)

series5.0ms (0.3%)

rewrite48.0ms (3.7%)

simplify47.0ms (3.7%)

localize6.0ms (0.4%)

eval14.0ms (1.1%)

prune14.0ms (1.1%)

regimes17.0ms (1.3%)

regimes17.0ms (1.3%)

regimes16.0ms (1.2%)

regimes58.0ms (4.5%)

bsearch26.0ms (2%)

simplify7.0ms (0.5%)

soundness93.0ms (7.2%)

end35.0ms (2.7%)

Profiling