Details

analyze65.0ms (4.7%)

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)

sample682.0ms (49.8%)

Results

640.0ms	8256×	body	256	valid
31.0ms	420×	body	256	infinite

Bogosity

preprocess90.0ms (6.6%)

Algorithm

2×	egg-herbie

Rules

572×	`fma-def`
214×	`associate-r`
168×	`associate--r+`
142×	`*-commutative`
136×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	21	38
2	41	38
3	85	38
4	137	38
5	204	38
6	411	38
7	838	38
8	1244	38
9	1338	38
10	1356	38
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)

simplify31.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

350×	`fma-def`
124×	`associate--r+`
120×	`associate-r`
116×	`distribute-lft-in`
90×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	14	19
2	25	19
3	50	19
4	80	19
5	116	19
6	219	19
7	400	19
8	627	19
9	827	19
10	899	19
11	915	19

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%)

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 (0.4%)

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)

series2.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite101.0ms (7.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1428×	`add-sqr-sqrt`
1408×	`*-un-lft-identity`
1318×	`add-cube-cbrt`
1306×	`add-cbrt-cube`
1296×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	132	13
2	1790	13

Stop Event

1×	node limit

Counts

1 → 36

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

simplify59.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

1244×	`associate-+r+`
1142×	`associate-r`
896×	`associate-l`
772×	`associate-+l+`
570×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	103	1122
1	257	1042
2	1058	1042
3	4731	1042

Stop Event

1×	node limit

Counts

60 → 45

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

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

eval9.0ms (0.6%)

Compiler: Compiled 569 to 282 computations (50.4% saved)

prune87.0ms (6.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	4	46

Error

Counts

46 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(*.f64 1/2 (fma.f64 x x (neg.f64 y)))
✓	0.0b	(.f64 1/2 (-.f64 (.f64 x x) y))
▶	44.1b	(.f64 1/2 (.f64 x x))
▶	18.4b	(*.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

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(*.f64 1/2 (fma.f64 x x (neg.f64 y)))
✓	0.0b	(.f64 1/2 (-.f64 (.f64 x x) y))
✓	44.1b	(.f64 1/2 (.f64 x x))
✓	18.4b	(*.f64 1/2 (neg.f64 y))

Compiler

Compiled 31 to 22 computations (29% saved)

regimes18.0ms (1.3%)

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

5 calls:

4.0ms	(*.f64 x x)
3.0ms	(.f64 1/2 (-.f64 (.f64 x x) y))
3.0ms	x
3.0ms	(-.f64 (*.f64 x x) y)
3.0ms	y

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`y`
0b	1	`(.f64 1/2 (-.f64 (.f64 x x) y))`
0b	1	`(-.f64 (*.f64 x x) y)`
0b	1	`(*.f64 x x)`

Compiler

Compiled 52 to 31 computations (40.4% saved)

regimes30.0ms (2.2%)

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:

17.0ms	(-.f64 (*.f64 x x) y)
3.0ms	(.f64 1/2 (-.f64 (.f64 x x) y))
3.0ms	x
3.0ms	y
2.0ms	(*.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)

regimes54.0ms (4%)

Accuracy

Total -54.3b remaining (-724%)

Threshold costs -54.3b (-724%)

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:

32.0ms	x
15.0ms	y
6.0ms	(*.f64 x x)

Results

Error	Segments	Branch
7.5b	3	`x`
14.2b	5	`y`
8.0b	2	`(*.f64 x x)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch28.0ms (2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	6.0135978817112874e-33	8.161925936453963e-25
14.0ms	-451079108375.2219	-184.12586063195357

Results

24.0ms

288×

body

256

valid

Compiler

Compiled 284 to 226 computations (20.4% saved)

simplify34.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative`
6×	`+-commutative`
4×	`sub-neg`
4×	`neg-mul-1`
4×	`neg-sub0`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	98
1	40	90
2	49	90
3	53	90
4	54	90

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 -270000000000) (.f64 1/2 (.f64 x x)) (if (<=.f64 x 6751202159711419/10889035741470030830827987437816582766592) (.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 -270000000000) (.f64 1/2 (.f64 x x)) (if (<=.f64 x 6751202159711419/10889035741470030830827987437816582766592) (.f64 1/2 (neg.f64 y)) (.f64 1/2 (*.f64 x x))))
(if (or (<=.f64 x -270000000000) (not (<=.f64 x 6751202159711419/10889035741470030830827987437816582766592))) (.f64 1/2 (.f64 x x)) (*.f64 1/2 (neg.f64 y)))
(if (or (<=.f64 x -270000000000) (not (<=.f64 x 6751202159711419/10889035741470030830827987437816582766592))) (.f64 1/2 (.f64 x x)) (*.f64 -1/2 y))
(if (or (<=.f64 x -270000000000) (not (<=.f64 x 6751202159711419/10889035741470030830827987437816582766592))) (.f64 1/2 (.f64 x x)) (*.f64 y -1/2))
(*.f64 1/2 (neg.f64 y))
(*.f64 -1/2 y)
(*.f64 y -1/2)

Compiler

Compiled 42 to 30 computations (28.6% saved)

soundness0.0ms (0%)

end56.0ms (4.1%)

Compiler: Compiled 36 to 23 computations (36.1% saved)

Iter	Nodes	Cost
0	8	19
1	14	19
2	25	19
3	50	19
4	80	19
5	116	19
6	219	19
7	400	19
8	627	19
9	827	19
10	899	19
11	915	19

Iter	Nodes	Cost
0	8	19
1	14	19
2	25	19
3	50	19
4	80	19
5	116	19
6	219	19
7	400	19
8	627	19
9	827	19
10	899	19
11	915	19

Details

analyze65.0ms (4.7%)

sample682.0ms (49.8%)

preprocess90.0ms (6.6%)

simplify31.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.4%)

series2.0ms (0.2%)

rewrite101.0ms (7.4%)

simplify59.0ms (4.3%)

eval9.0ms (0.6%)

prune87.0ms (6.3%)

localize4.0ms (0.3%)

localize4.0ms (0.3%)

localize7.0ms (0.5%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes18.0ms (1.3%)

regimes30.0ms (2.2%)

regimes54.0ms (4%)

bsearch28.0ms (2%)

simplify34.0ms (2.5%)

soundness0.0ms (0%)

end56.0ms (4.1%)

Profiling

Iter	Nodes	Cost
0	8	19
1	14	19
2	25	19
3	50	19
4	80	19
5	116	19
6	219	19
7	400	19
8	627	19
9	827	19
10	899	19
11	915	19