Details

analyze66.0ms (4.8%)

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
63.2%	56.2%	32.8%	0.1%	10.9%	0%	0%	8
74.3%	65.6%	22.6%	0.1%	11.7%	0%	0%	9
79.6%	65.6%	16.8%	0.1%	17.6%	0%	0%	10
85.9%	70.2%	11.5%	0.1%	18.1%	0%	0%	11
89.2%	70.2%	8.5%	0.1%	21.2%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample734.0ms (53.9%)

Results

690.0ms	8255×	body	256	valid
33.0ms	420×	body	256	infinite
0.0ms	1×	body	1024	valid

Bogosity

preprocess50.0ms (3.7%)

Algorithm

2×	egg-herbie

Rules

330×	`fma-def_binary64`
192×	`fma-neg_binary64`
60×	`cancel-sign-sub-inv_binary64`
56×	`distribute-rgt-in_binary64`
37×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	18	20
2	38	20
3	82	20
4	147	20
5	210	20
6	391	20
7	692	20
8	1085	20
9	1191	20
10	1209	20
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(.f64 1/2 (-.f64 (.f64 x x) y))
(.f64 1/2 (-.f64 (.f64 y y) x))

Outputs
(.f64 1/2 (-.f64 (.f64 x x) y))
(.f64 1/2 (-.f64 (.f64 y y) x))
(*.f64 1/2 (fma.f64 y y (neg.f64 x)))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify20.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

230×	`fma-def_binary64`
111×	`fma-neg_binary64`
43×	`distribute-rgt-in_binary64`
39×	`cancel-sign-sub-inv_binary64`
28×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	10
2	22	10
3	48	10
4	84	10
5	118	10
6	209	10
7	357	10
8	552	10
9	722	10
10	822	10
11	838	10

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 1/2 (-.f64 (.f64 x x) y))

Outputs
(.f64 1/2 (-.f64 (.f64 x x) y))

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% 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 1/2 (-.f64 (.f64 x x) y))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize6.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series20.0ms (1.5%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	x	@	0	(-.f64 (*.f64 x x) y)
1.0ms	x	@	inf	(-.f64 (*.f64 x x) y)
1.0ms	x	@	-inf	(-.f64 (*.f64 x x) y)
1.0ms	y	@	0	(-.f64 (*.f64 x x) y)
1.0ms	y	@	inf	(-.f64 (*.f64 x x) y)

Compiler

Compiled 232 to 190 computations (18.1% saved)

rewrite54.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

597×	`pow1_binary64`
558×	`add-log-exp_binary64`
558×	`log1p-expm1-u_binary64`
558×	`expm1-log1p-u_binary64`
544×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	111	7
2	1536	7

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

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

Outputs

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

simplify86.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

668×	`div-sub_binary64`
612×	`fma-neg_binary64`
372×	`associate-l_binary64`
346×	`fma-def_binary64`
341×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	106	521
1	269	496
2	955	487
3	4706	487

Stop Event

1×	node limit

Counts

59 → 47

Calls

Call 1

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

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

eval10.0ms (0.7%)

Compiler: Compiled 572 to 298 computations (47.9% saved)

prune19.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	44	3	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	4	48

Error

0.0b

Counts

48 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(*.f64 1/2 (fma.f64 x x (neg.f64 y)))
✓	0.0b	(.f64 1/2 (-.f64 (.f64 x x) y))
▶	41.4b	(.f64 1/2 (.f64 x x))
▶	21.0b	(*.f64 1/2 (neg.f64 y))

Compiler

Compiled 31 to 22 computations (29% saved)

localize4.0ms (0.3%)

Compiler: Compiled 10 to 6 computations (40% saved)

localize4.0ms (0.3%)

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

localize7.0ms (0.5%)

Compiler: Compiled 19 to 7 computations (63.2% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

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

Error

0.0b

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(*.f64 1/2 (fma.f64 x x (neg.f64 y)))
✓	0.0b	(.f64 1/2 (-.f64 (.f64 x x) y))
✓	41.4b	(.f64 1/2 (.f64 x x))
✓	21.0b	(*.f64 1/2 (neg.f64 y))

Compiler

Compiled 31 to 22 computations (29% saved)

regimes42.0ms (3.1%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 1/2 (neg.f64 y))
(.f64 1/2 (.f64 x x))
(.f64 1/2 (-.f64 (.f64 x x) y))
(*.f64 1/2 (fma.f64 x x (neg.f64 y)))

Outputs
(*.f64 1/2 (fma.f64 x x (neg.f64 y)))

Calls

6 calls:

21.0ms	(*.f64 x x)
4.0ms	(.f64 1/2 (-.f64 (.f64 x x) y))
4.0ms	(-.f64 (*.f64 x x) y)
4.0ms	x
4.0ms	y

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(.f64 1/2 (-.f64 (.f64 x x) y))`
0.0b	1	`(-.f64 (*.f64 x x) y)`
0.0b	1	`(*.f64 x x)`
0.0b	1	`(*.f64 x x)`

Compiler

Compiled 57 to 34 computations (40.4% saved)

regimes19.0ms (1.4%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 1/2 (neg.f64 y))
(.f64 1/2 (.f64 x x))
(.f64 1/2 (-.f64 (.f64 x x) y))

Outputs
(.f64 1/2 (-.f64 (.f64 x x) y))

Calls

5 calls:

5.0ms	x
3.0ms	(.f64 1/2 (-.f64 (.f64 x x) y))
3.0ms	(-.f64 (*.f64 x x) y)
3.0ms	y
3.0ms	(*.f64 x x)

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(.f64 1/2 (-.f64 (.f64 x x) y))`
0.0b	1	`(-.f64 (*.f64 x x) y)`
0.0b	1	`(*.f64 x x)`

Compiler

Compiled 45 to 28 computations (37.8% saved)

regimes29.0ms (2.1%)

Accuracy

Total -52.0b remaining (-542.6%)

Threshold costs -52.0b (-542.6%)

Counts

2 → 3

Calls

Call 1

Inputs
(*.f64 1/2 (neg.f64 y))
(.f64 1/2 (.f64 x x))

Outputs
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (neg.f64 y))
(.f64 1/2 (.f64 x x))

Calls

3 calls:

11.0ms	y
10.0ms	x
6.0ms	(*.f64 x x)

Results

Error	Segments	Branch
9.6b	3	`x`
17.6b	3	`y`
10.1b	2	`(*.f64 x x)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch39.0ms (2.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
9.0ms	3.052202330235754e-19	1.8317510526198283e-18
30.0ms	-7.844751632041816e+23	-3456358177897014300.0

Results

36.0ms

240×

body

256

valid

Compiler

Compiled 239 to 190 computations (20.5% saved)

simplify4.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	58
1	30	54
2	40	54
3	44	54
4	45	54

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(*.f64 1/2 (fma.f64 x x (neg.f64 y)))
(.f64 1/2 (-.f64 (.f64 x x) y))
(if (<=.f64 x -370000000000000000000) (.f64 1/2 (.f64 x x)) (if (<=.f64 x 7269215601948759/10384593717069655257060992658440192) (.f64 1/2 (neg.f64 y)) (.f64 1/2 (*.f64 x x))))
(*.f64 1/2 (neg.f64 y))

Outputs
(*.f64 1/2 (fma.f64 x x (neg.f64 y)))
(.f64 1/2 (-.f64 (.f64 x x) y))
(if (<=.f64 x -370000000000000000000) (.f64 1/2 (.f64 x x)) (if (<=.f64 x 7269215601948759/10384593717069655257060992658440192) (.f64 1/2 (neg.f64 y)) (.f64 1/2 (*.f64 x x))))
(if (<=.f64 x -370000000000000000000) (.f64 1/2 (.f64 x x)) (if (<=.f64 x 7269215601948759/10384593717069655257060992658440192) (.f64 -1/2 y) (.f64 1/2 (*.f64 x x))))
(if (<=.f64 x -370000000000000000000) (.f64 1/2 (.f64 x x)) (if (<=.f64 x 7269215601948759/10384593717069655257060992658440192) (.f64 y -1/2) (.f64 1/2 (*.f64 x x))))
(*.f64 1/2 (neg.f64 y))
(*.f64 -1/2 y)
(*.f64 y -1/2)

Compiler

Compiled 46 to 31 computations (32.6% saved)

soundness92.0ms (6.8%)

Algorithm

1×	egg-herbie

Rules

668×	`div-sub_binary64`
612×	`fma-neg_binary64`
372×	`associate-l_binary64`
346×	`fma-def_binary64`
341×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	106	521
1	269	496
2	955	487
3	4706	487

Stop Event

1×	node limit

Compiler

Compiled 32 to 22 computations (31.3% saved)

end53.0ms (3.9%)

Compiler: Compiled 40 to 24 computations (40% saved)

Iter	Nodes	Cost
0	7	10
1	11	10
2	22	10
3	48	10
4	84	10
5	118	10
6	209	10
7	357	10
8	552	10
9	722	10
10	822	10
11	838	10

Iter	Nodes	Cost
0	7	10
1	11	10
2	22	10
3	48	10
4	84	10
5	118	10
6	209	10
7	357	10
8	552	10
9	722	10
10	822	10
11	838	10

Details

analyze66.0ms (4.8%)

sample734.0ms (53.9%)

preprocess50.0ms (3.7%)

simplify20.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize6.0ms (0.5%)

series20.0ms (1.5%)

rewrite54.0ms (4%)

simplify86.0ms (6.3%)

eval10.0ms (0.7%)

prune19.0ms (1.4%)

localize4.0ms (0.3%)

localize4.0ms (0.3%)

localize7.0ms (0.5%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes42.0ms (3.1%)

regimes19.0ms (1.4%)

regimes29.0ms (2.1%)

bsearch39.0ms (2.9%)

simplify4.0ms (0.3%)

soundness92.0ms (6.8%)

end53.0ms (3.9%)

Profiling

Iter	Nodes	Cost
0	7	10
1	11	10
2	22	10
3	48	10
4	84	10
5	118	10
6	209	10
7	357	10
8	552	10
9	722	10
10	822	10
11	838	10