Details

analyze78.0ms (6.1%)

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
48%	37.5%	40.6%	0.1%	21.9%	0%	0%	7
57.1%	43.7%	32.8%	0.1%	23.4%	0%	0%	8
71.4%	54.6%	21.9%	0.1%	23.4%	0%	0%	9
77.3%	58.5%	17.2%	0.1%	24.2%	0%	0%	10
85.1%	64.4%	11.3%	0.1%	24.2%	0%	0%	11
88.3%	66.5%	8.8%	0.1%	24.6%	0%	0%	12

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample871.0ms (67.5%)

Results

832.0ms	8256×	body	256	valid
4.0ms	39×	body	256	infinite

Bogosity

preprocess22.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

90×	`fma-neg_binary64`
60×	`fma-def_binary64`
24×	`cancel-sign-sub-inv_binary64`
20×	`sub-neg_binary64`
16×	`associate--r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	17	14
2	31	14
3	55	14
4	82	14
5	151	14
6	229	14
7	319	14
8	383	14
9	397	14
10	399	14
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify13.0ms (1%)

Algorithm

1×	egg-herbie

Rules

65×	`fma-def_binary64`
44×	`fma-neg_binary64`
22×	`cancel-sign-sub-inv_binary64`
15×	`sub-neg_binary64`
11×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	10	7
2	18	7
3	30	7
4	45	7
5	72	7
6	116	7
7	161	7
8	209	7
9	258	7
10	296	7
11	300	7

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 12 to 6 computations (50% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(fma.f64 y (neg.f64 y) x)
▶	0.0b	(-.f64 x (*.f64 y y))

Compiler

Compiled 14 to 8 computations (42.9% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 4 computations (66.7% saved)

series2.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite41.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

613×	`pow1_binary64`
573×	`add-log-exp_binary64`
573×	`log1p-expm1-u_binary64`
573×	`expm1-log1p-u_binary64`
559×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	113	7
2	1608	7

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 (.f64 y (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (.f64 y y)) (fma.f64 (neg.f64 y) y (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (.f64 y y)) (fma.f64 (.f64 y (neg.f64 y)) 1 (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (.f64 y y)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y y))) (cbrt.f64 (pow.f64 y 4)) (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (neg.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 x (.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 x (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 x (.f64 y y))) (pow.f64 (cbrt.f64 (-.f64 x (.f64 y y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 x (.f64 y y))) 2) (cbrt.f64 (-.f64 x (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 x (.f64 y y))) (sqrt.f64 (-.f64 x (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (/.f64 1 (fma.f64 x x (+.f64 (pow.f64 y 4) (.f64 x (.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 x x) (pow.f64 y 4)) (/.f64 1 (+.f64 x (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 x) y) (-.f64 (sqrt.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (+.f64 (pow.f64 y 4) (.f64 x (.f64 y y)))) (-.f64 (pow.f64 x 3) (pow.f64 y 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (.f64 y y)) (-.f64 (.f64 x x) (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (fma.f64 x x (+.f64 (pow.f64 y 4) (.f64 x (.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x x) (pow.f64 y 4)) (+.f64 x (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 y 4) (.f64 x (.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 y 4))) (neg.f64 (+.f64 x (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (neg.f64 y)) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 y (neg.f64 y)) (.f64 y (neg.f64 y))) (.f64 x (.f64 y (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x x) (.f64 (.f64 y (neg.f64 y)) (.f64 y (neg.f64 y)))) (-.f64 x (.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (.f64 y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (.f64 y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (.f64 y y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (neg.f64 y)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 y (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y y)) (fma.f64 (neg.f64 y) y (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y y)) (fma.f64 (*.f64 y (neg.f64 y)) 1 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y y))) (cbrt.f64 (pow.f64 y 4)) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (neg.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (*.f64 y y))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y y))) 2) (cbrt.f64 (-.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (*.f64 y y))) (sqrt.f64 (-.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (/.f64 1 (fma.f64 x x (+.f64 (pow.f64 y 4) (*.f64 x (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 y 4)) (/.f64 1 (+.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) y) (-.f64 (sqrt.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (+.f64 (pow.f64 y 4) (*.f64 x (*.f64 y y)))) (-.f64 (pow.f64 x 3) (pow.f64 y 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (*.f64 y y)) (-.f64 (*.f64 x x) (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (fma.f64 x x (+.f64 (pow.f64 y 4) (*.f64 x (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 y 4)) (+.f64 x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 y 4) (*.f64 x (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 y 4))) (neg.f64 (+.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (neg.f64 y)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y (neg.f64 y)) (*.f64 y (neg.f64 y))) (*.f64 x (*.f64 y (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 y)) (*.f64 y (neg.f64 y)))) (-.f64 x (*.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (*.f64 y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (*.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (*.f64 y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (*.f64 y y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (*.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (neg.f64 y)))))))

simplify57.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

720×	`div-sub_binary64`
608×	`fma-neg_binary64`
353×	`fma-def_binary64`
220×	`distribute-rgt-neg-in_binary64`
178×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	539
1	261	514
2	966	500
3	4001	487

Stop Event

1×	node limit

Counts

59 → 48

Calls

Call 1

Inputs
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
x
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
x
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
x
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(+.f64 x (*.f64 y (neg.f64 y)))
(+.f64 x (.f64 (.f64 y (neg.f64 y)) 1))
(+.f64 (-.f64 x (.f64 y y)) (fma.f64 (neg.f64 y) y (.f64 y y)))
(+.f64 (-.f64 x (.f64 y y)) (fma.f64 (.f64 y (neg.f64 y)) 1 (*.f64 y y)))
(+.f64 (-.f64 x (.f64 y y)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y y))) (cbrt.f64 (pow.f64 y 4)) (*.f64 y y)))
(+.f64 (*.f64 y (neg.f64 y)) x)
(.f64 (-.f64 x (.f64 y y)) 1)
(.f64 1 (-.f64 x (.f64 y y)))
(.f64 (cbrt.f64 (-.f64 x (.f64 y y))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y y))) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 x (.f64 y y))) 2) (cbrt.f64 (-.f64 x (*.f64 y y))))
(.f64 (sqrt.f64 (-.f64 x (.f64 y y))) (sqrt.f64 (-.f64 x (*.f64 y y))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (/.f64 1 (fma.f64 x x (+.f64 (pow.f64 y 4) (.f64 x (*.f64 y y))))))
(.f64 (-.f64 (.f64 x x) (pow.f64 y 4)) (/.f64 1 (+.f64 x (*.f64 y y))))
(*.f64 (+.f64 (sqrt.f64 x) y) (-.f64 (sqrt.f64 x) y))
(/.f64 1 (/.f64 (fma.f64 x x (+.f64 (pow.f64 y 4) (.f64 x (.f64 y y)))) (-.f64 (pow.f64 x 3) (pow.f64 y 6))))
(/.f64 1 (/.f64 (+.f64 x (.f64 y y)) (-.f64 (.f64 x x) (pow.f64 y 4))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (fma.f64 x x (+.f64 (pow.f64 y 4) (.f64 x (.f64 y y)))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 y 4)) (+.f64 x (.f64 y y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 y 4) (.f64 x (.f64 y y))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 y 4))) (neg.f64 (+.f64 x (.f64 y y))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (neg.f64 y)) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 y (neg.f64 y)) (.f64 y (neg.f64 y))) (.f64 x (*.f64 y (neg.f64 y))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y (neg.f64 y)) (.f64 y (neg.f64 y)))) (-.f64 x (*.f64 y (neg.f64 y))))
(pow.f64 (-.f64 x (*.f64 y y)) 1)
(pow.f64 (pow.f64 (-.f64 x (*.f64 y y)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 y y))) 3)
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 y y))) 2)
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 y y)) 2))
(log.f64 (exp.f64 (-.f64 x (*.f64 y y))))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 y y)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 y y))))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 y y))))
(exp.f64 (log.f64 (-.f64 x (*.f64 y y))))
(fma.f64 1 x (*.f64 y (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y (neg.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (neg.f64 y)))

Outputs
(*.f64 -1 (pow.f64 y 2))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
x
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
x
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
x
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(*.f64 -1 (pow.f64 y 2))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(*.f64 -1 (pow.f64 y 2))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) x)
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(+.f64 x (*.f64 y (neg.f64 y)))
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(+.f64 x (.f64 (.f64 y (neg.f64 y)) 1))
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(+.f64 (-.f64 x (.f64 y y)) (fma.f64 (neg.f64 y) y (.f64 y y)))
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(+.f64 (-.f64 x (.f64 y y)) (fma.f64 (.f64 y (neg.f64 y)) 1 (*.f64 y y)))
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(+.f64 (-.f64 x (.f64 y y)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y y))) (cbrt.f64 (pow.f64 y 4)) (*.f64 y y)))
(+.f64 (fma.f64 y (neg.f64 y) x) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y y))) (cbrt.f64 (pow.f64 y 4)) (.f64 y y)))
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 y y))) (cbrt.f64 (pow.f64 y 4)) (+.f64 x 0))
(-.f64 x (.f64 (cbrt.f64 (.f64 y y)) (cbrt.f64 (pow.f64 y 4))))
(+.f64 (*.f64 y (neg.f64 y)) x)
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(.f64 (-.f64 x (.f64 y y)) 1)
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(.f64 1 (-.f64 x (.f64 y y)))
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(.f64 (cbrt.f64 (-.f64 x (.f64 y y))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y y))) 2))
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(.f64 (pow.f64 (cbrt.f64 (-.f64 x (.f64 y y))) 2) (cbrt.f64 (-.f64 x (*.f64 y y))))
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(.f64 (sqrt.f64 (-.f64 x (.f64 y y))) (sqrt.f64 (-.f64 x (*.f64 y y))))
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (/.f64 1 (fma.f64 x x (+.f64 (pow.f64 y 4) (.f64 x (*.f64 y y))))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (/.f64 1 (fma.f64 x x (+.f64 (pow.f64 y 4) (.f64 (*.f64 x y) y)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (fma.f64 x x (.f64 (.f64 y y) (fma.f64 y y x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (*.f64 x (fma.f64 y y x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (fma.f64 x (fma.f64 y y x) (pow.f64 y 4)))
(.f64 (-.f64 (.f64 x x) (pow.f64 y 4)) (/.f64 1 (+.f64 x (*.f64 y y))))
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(*.f64 (+.f64 (sqrt.f64 x) y) (-.f64 (sqrt.f64 x) y))
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(/.f64 1 (/.f64 (fma.f64 x x (+.f64 (pow.f64 y 4) (.f64 x (.f64 y y)))) (-.f64 (pow.f64 x 3) (pow.f64 y 6))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (/.f64 1 (fma.f64 x x (+.f64 (pow.f64 y 4) (.f64 (*.f64 x y) y)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (fma.f64 x x (.f64 (.f64 y y) (fma.f64 y y x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (*.f64 x (fma.f64 y y x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (fma.f64 x (fma.f64 y y x) (pow.f64 y 4)))
(/.f64 1 (/.f64 (+.f64 x (.f64 y y)) (-.f64 (.f64 x x) (pow.f64 y 4))))
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (fma.f64 x x (+.f64 (pow.f64 y 4) (.f64 x (.f64 y y)))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (/.f64 1 (fma.f64 x x (+.f64 (pow.f64 y 4) (.f64 (*.f64 x y) y)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (fma.f64 x x (.f64 (.f64 y y) (fma.f64 y y x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (*.f64 x (fma.f64 y y x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (fma.f64 x (fma.f64 y y x) (pow.f64 y 4)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 y 4)) (+.f64 x (.f64 y y)))
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 y 4) (.f64 x (.f64 y y))))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (/.f64 1 (fma.f64 x x (+.f64 (pow.f64 y 4) (.f64 (*.f64 x y) y)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (fma.f64 x x (.f64 (.f64 y y) (fma.f64 y y x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (*.f64 x (fma.f64 y y x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (fma.f64 x (fma.f64 y y x) (pow.f64 y 4)))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 y 4))) (neg.f64 (+.f64 x (.f64 y y))))
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (neg.f64 y)) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 y (neg.f64 y)) (.f64 y (neg.f64 y))) (.f64 x (*.f64 y (neg.f64 y))))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (/.f64 1 (fma.f64 x x (+.f64 (pow.f64 y 4) (.f64 (*.f64 x y) y)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (fma.f64 x x (.f64 (.f64 y y) (fma.f64 y y x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (*.f64 x (fma.f64 y y x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 6)) (fma.f64 x (fma.f64 y y x) (pow.f64 y 4)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y (neg.f64 y)) (.f64 y (neg.f64 y)))) (-.f64 x (*.f64 y (neg.f64 y))))
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(pow.f64 (-.f64 x (*.f64 y y)) 1)
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(pow.f64 (pow.f64 (-.f64 x (*.f64 y y)) 3) 1/3)
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 y y))) 3)
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 y y))) 2)
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 y y)) 2))
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(log.f64 (exp.f64 (-.f64 x (*.f64 y y))))
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 y y)) 3))
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 y y))))
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 y y))))
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(exp.f64 (log.f64 (-.f64 x (*.f64 y y))))
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(fma.f64 1 x (*.f64 y (neg.f64 y)))
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y (neg.f64 y)))
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (neg.f64 y)))
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))

localize7.0ms (0.5%)

Compiler: Compiled 11 to 4 computations (63.6% saved)

eval8.0ms (0.6%)

Compiler: Compiled 579 to 223 computations (61.5% saved)

prune7.0ms (0.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	46	4	50

Error

Counts

50 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(fma.f64 y (neg.f64 y) x)
✓	0.0b	(-.f64 x (*.f64 y y))
▶	40.1b	(*.f64 y (neg.f64 y))
	22.2b	x

Compiler

Compiled 23 to 14 computations (39.1% saved)

localize6.0ms (0.5%)

Compiler: Compiled 9 to 4 computations (55.6% saved)

eval0.0ms (0%)

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

prune1.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	2	2
Total	4	4

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(fma.f64 y (neg.f64 y) x)
✓	0.0b	(-.f64 x (*.f64 y y))
✓	40.1b	(*.f64 y (neg.f64 y))
	22.2b	x

Compiler

Compiled 23 to 14 computations (39.1% saved)

eval0.0ms (0%)

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

prune1.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	3	3
Total	4	4

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(fma.f64 y (neg.f64 y) x)
✓	0.0b	(-.f64 x (*.f64 y y))
✓	40.1b	(*.f64 y (neg.f64 y))
	22.2b	x

Compiler

Compiled 23 to 14 computations (39.1% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	3	3
Total	4	4

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(fma.f64 y (neg.f64 y) x)
✓	0.0b	(-.f64 x (*.f64 y y))
✓	40.1b	(*.f64 y (neg.f64 y))
	22.2b	x

Compiler

Compiled 23 to 14 computations (39.1% saved)

regimes15.0ms (1.2%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(fma.f64 y (neg.f64 y) x)

Calls

4 calls:

4.0ms	(-.f64 x (*.f64 y y))
4.0ms	y
3.0ms	x
3.0ms	(*.f64 y y)

Results

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

Compiler

Compiled 35 to 18 computations (48.6% saved)

regimes18.0ms (1.4%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	(*.f64 y y)
4.0ms	x
3.0ms	(-.f64 x (*.f64 y y))
3.0ms	y

Results

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

Compiler

Compiled 30 to 17 computations (43.3% saved)

regimes45.0ms (3.5%)

Accuracy

Total -49.6b remaining (-409.9%)

Threshold costs -49.6b (-409.9%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 y (neg.f64 y))

Outputs
(*.f64 y (neg.f64 y))
x
(*.f64 y (neg.f64 y))

Calls

2 calls:

33.0ms	x
11.0ms	y

Results

Error	Segments	Branch
14.8b	5	`x`
12.1b	3	`y`

Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch43.0ms (3.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	8.657958793773477e-10	2737503222.4920983
14.0ms	-2.026615443369741e-17	-1.726775721701076e-24

Results

39.0ms

304×

body

256

valid

Compiler

Compiled 221 to 160 computations (27.6% saved)

simplify4.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	40
1	24	40
2	29	40
3	32	40
4	33	40

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(if (<=.f64 y -3334767195825197/680564733841876926926749214863536422912) (.f64 y (neg.f64 y)) (if (<=.f64 y 1500000) x (.f64 y (neg.f64 y))))
x

Outputs
(fma.f64 y (neg.f64 y) x)
(-.f64 x (*.f64 y y))
(if (<=.f64 y -3334767195825197/680564733841876926926749214863536422912) (.f64 y (neg.f64 y)) (if (<=.f64 y 1500000) x (.f64 y (neg.f64 y))))
x

Compiler

Compiled 36 to 20 computations (44.4% saved)

soundness18.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

65×	`fma-def_binary64`
44×	`fma-neg_binary64`
22×	`cancel-sign-sub-inv_binary64`
15×	`sub-neg_binary64`
11×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	10	7
2	18	7
3	30	7
4	45	7
5	72	7
6	116	7
7	161	7
8	209	7
9	258	7
10	296	7
11	300	7

Stop Event

1×

saturated

Compiler

Compiled 38 to 23 computations (39.5% saved)

end24.0ms (1.8%)

Compiler: Compiled 30 to 13 computations (56.7% saved)

Iter	Nodes	Cost
0	7	14
1	17	14
2	31	14
3	55	14
4	82	14
5	151	14
6	229	14
7	319	14
8	383	14
9	397	14
10	399	14
0	2	2

Iter	Nodes	Cost
0	7	14
1	17	14
2	31	14
3	55	14
4	82	14
5	151	14
6	229	14
7	319	14
8	383	14
9	397	14
10	399	14
0	2	2

Details

analyze78.0ms (6.1%)

sample871.0ms (67.5%)

preprocess22.0ms (1.7%)

simplify13.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize4.0ms (0.3%)

series2.0ms (0.2%)

rewrite41.0ms (3.2%)

simplify57.0ms (4.4%)

localize7.0ms (0.5%)

eval8.0ms (0.6%)

prune7.0ms (0.6%)

localize6.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes15.0ms (1.2%)

regimes18.0ms (1.4%)

regimes45.0ms (3.5%)

bsearch43.0ms (3.3%)

simplify4.0ms (0.3%)

soundness18.0ms (1.4%)

end24.0ms (1.8%)

Profiling

Iter	Nodes	Cost
0	7	14
1	17	14
2	31	14
3	55	14
4	82	14
5	151	14
6	229	14
7	319	14
8	383	14
9	397	14
10	399	14
0	2	2