Metrics for Expression 4, p15

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
100%	0%	0%	100%	0%	0%	0%	1

Compiler

Compiled 24 to 15 computations (37.5% saved)

sample861.0ms (43.4%)

Results

850.0ms

8256×

body

256

valid

Bogosity

preprocess169.0ms (8.5%)

Algorithm

1×	egg-herbie

Rules

4056×	`fma-def`
572×	`unsub-neg`
400×	`distribute-rgt-in`
338×	`distribute-lft-in`
328×	`associate-+l-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	92
1	52	76
2	136	76
3	352	76
4	924	76
5	1869	76
6	3478	76
7	3663	76
8	3663	76
9	3663	76
10	4351	76
11	4639	76
12	4639	76

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (+.f64 a b) (+.f64 a b))
(*.f64 (+.f64 (neg.f64 a) b) (+.f64 (neg.f64 a) b))
(*.f64 (+.f64 a (neg.f64 b)) (+.f64 a (neg.f64 b)))
(*.f64 (+.f64 b a) (+.f64 b a))

Outputs
(*.f64 (+.f64 a b) (+.f64 a b))
(*.f64 (+.f64 (neg.f64 a) b) (+.f64 (neg.f64 a) b))
(*.f64 (+.f64 b (neg.f64 a)) (+.f64 b (neg.f64 a)))
(*.f64 (-.f64 b a) (-.f64 b a))
(*.f64 (-.f64 a b) (-.f64 a b))
(*.f64 (+.f64 a (neg.f64 b)) (+.f64 a (neg.f64 b)))
(*.f64 (+.f64 b (neg.f64 a)) (+.f64 b (neg.f64 a)))
(*.f64 (-.f64 b a) (-.f64 b a))
(*.f64 (-.f64 a b) (-.f64 a b))
(*.f64 (+.f64 b a) (+.f64 b a))
(*.f64 (+.f64 a b) (+.f64 a b))

Symmetry

(sort a b)

Compiler

Compiled 11 to 6 computations (45.5% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

140×	`fma-def`
52×	`associate-+r+`
32×	`associate-+l+`
20×	`distribute-rgt-in`
16×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
1	13	19
2	31	19
3	69	19
4	112	19
5	142	19
6	162	19
7	179	19
8	181	19

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 (+.f64 a b) (+.f64 a b))

Outputs
(*.f64 (+.f64 a b) (+.f64 a b))

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Accurracy

100.0%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
▶	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))

Compiler

Compiled 18 to 8 computations (55.6% saved)

localize20.0ms (1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))

Compiler

Compiled 15 to 5 computations (66.7% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	a	@	inf	(*.f64 (+.f64 a b) (+.f64 a b))
0.0ms	a	@	0	(*.f64 (+.f64 a b) (+.f64 a b))
0.0ms	a	@	-inf	(*.f64 (+.f64 a b) (+.f64 a b))
0.0ms	b	@	-inf	(*.f64 (+.f64 a b) (+.f64 a b))
0.0ms	b	@	inf	(*.f64 (+.f64 a b) (+.f64 a b))

rewrite96.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1514×	`pow1`
1412×	`add-exp-log`
1412×	`log1p-expm1-u`
1412×	`expm1-log1p-u`
1386×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	135	13
2	1993	13

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

Inputs
(*.f64 (+.f64 a b) (+.f64 a b))

Outputs
(+.f64 (.f64 a (+.f64 a b)) (.f64 b (+.f64 a b)))
(+.f64 (.f64 b (+.f64 a b)) (.f64 a (+.f64 a b)))
(+.f64 (.f64 (.f64 a (+.f64 a b)) 1) (.f64 (.f64 b (+.f64 a b)) 1))
(-.f64 (+.f64 1 (pow.f64 (+.f64 a b) 2)) 1)
(/.f64 (.f64 (-.f64 (.f64 a a) (.f64 b b)) (-.f64 (.f64 a a) (.f64 b b))) (.f64 (-.f64 a b) (-.f64 a b)))
(/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (.f64 (fma.f64 a a (.f64 b (-.f64 b a))) (fma.f64 a a (.f64 b (-.f64 b a)))))
(/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (.f64 a a) (.f64 b b))) (.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (-.f64 a b)))
(/.f64 (.f64 (-.f64 (.f64 a a) (.f64 b b)) (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (.f64 (-.f64 a b) (fma.f64 a a (*.f64 b (-.f64 b a)))))
(/.f64 (+.f64 (pow.f64 (.f64 a (+.f64 a b)) 3) (pow.f64 (.f64 b (+.f64 a b)) 3)) (+.f64 (.f64 (.f64 a (+.f64 a b)) (.f64 a (+.f64 a b))) (-.f64 (.f64 (.f64 b (+.f64 a b)) (.f64 b (+.f64 a b))) (.f64 (.f64 a (+.f64 a b)) (*.f64 b (+.f64 a b))))))
(/.f64 (-.f64 (.f64 (.f64 a (+.f64 a b)) (.f64 a (+.f64 a b))) (.f64 (.f64 b (+.f64 a b)) (.f64 b (+.f64 a b)))) (-.f64 (.f64 a (+.f64 a b)) (.f64 b (+.f64 a b))))
(/.f64 (.f64 (+.f64 a b) (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (fma.f64 a a (.f64 b (-.f64 b a))))
(/.f64 (.f64 (+.f64 a b) (-.f64 (.f64 a a) (*.f64 b b))) (-.f64 a b))
(/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 a b)) (fma.f64 a a (.f64 b (-.f64 b a))))
(/.f64 (.f64 (-.f64 (.f64 a a) (*.f64 b b)) (+.f64 a b)) (-.f64 a b))
(pow.f64 (+.f64 a b) 2)
(pow.f64 (pow.f64 (+.f64 a b) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (+.f64 a b) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 a b) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 a b) 2)))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 a b) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 a b) 2)))
(exp.f64 (*.f64 (log.f64 (+.f64 a b)) 2))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 a b) 2)))
(fma.f64 a (+.f64 a b) (*.f64 b (+.f64 a b)))
(fma.f64 (+.f64 a b) a (*.f64 b (+.f64 a b)))

simplify300.0ms (15.1%)

Algorithm

1×	egg-herbie

Rules

1394×	`distribute-lft-in`
1358×	`fma-def`
1344×	`distribute-rgt-in`
1002×	`times-frac`
548×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	92	1538
1	310	1432
2	1353	1138

Stop Event

1×	node limit

Counts

50 → 57

Calls

Call 1

Inputs
(pow.f64 b 2)
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(pow.f64 a 2)
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 a 2))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(pow.f64 a 2)
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 a 2))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(pow.f64 a 2)
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 a 2))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(pow.f64 b 2)
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(pow.f64 b 2)
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (.f64 a (+.f64 a b)) (.f64 b (+.f64 a b)))
(+.f64 (.f64 b (+.f64 a b)) (.f64 a (+.f64 a b)))
(+.f64 (.f64 (.f64 a (+.f64 a b)) 1) (.f64 (.f64 b (+.f64 a b)) 1))
(-.f64 (+.f64 1 (pow.f64 (+.f64 a b) 2)) 1)
(/.f64 (.f64 (-.f64 (.f64 a a) (.f64 b b)) (-.f64 (.f64 a a) (.f64 b b))) (.f64 (-.f64 a b) (-.f64 a b)))
(/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (.f64 (fma.f64 a a (.f64 b (-.f64 b a))) (fma.f64 a a (.f64 b (-.f64 b a)))))
(/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (.f64 a a) (.f64 b b))) (.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (-.f64 a b)))
(/.f64 (.f64 (-.f64 (.f64 a a) (.f64 b b)) (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (.f64 (-.f64 a b) (fma.f64 a a (*.f64 b (-.f64 b a)))))
(/.f64 (+.f64 (pow.f64 (.f64 a (+.f64 a b)) 3) (pow.f64 (.f64 b (+.f64 a b)) 3)) (+.f64 (.f64 (.f64 a (+.f64 a b)) (.f64 a (+.f64 a b))) (-.f64 (.f64 (.f64 b (+.f64 a b)) (.f64 b (+.f64 a b))) (.f64 (.f64 a (+.f64 a b)) (*.f64 b (+.f64 a b))))))
(/.f64 (-.f64 (.f64 (.f64 a (+.f64 a b)) (.f64 a (+.f64 a b))) (.f64 (.f64 b (+.f64 a b)) (.f64 b (+.f64 a b)))) (-.f64 (.f64 a (+.f64 a b)) (.f64 b (+.f64 a b))))
(/.f64 (.f64 (+.f64 a b) (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (fma.f64 a a (.f64 b (-.f64 b a))))
(/.f64 (.f64 (+.f64 a b) (-.f64 (.f64 a a) (*.f64 b b))) (-.f64 a b))
(/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 a b)) (fma.f64 a a (.f64 b (-.f64 b a))))
(/.f64 (.f64 (-.f64 (.f64 a a) (*.f64 b b)) (+.f64 a b)) (-.f64 a b))
(pow.f64 (+.f64 a b) 2)
(pow.f64 (pow.f64 (+.f64 a b) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (+.f64 a b) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 a b) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 a b) 2)))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 a b) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 a b) 2)))
(exp.f64 (*.f64 (log.f64 (+.f64 a b)) 2))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 a b) 2)))
(fma.f64 a (+.f64 a b) (*.f64 b (+.f64 a b)))
(fma.f64 (+.f64 a b) a (*.f64 b (+.f64 a b)))

Outputs
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(fma.f64 2 (.f64 b a) (.f64 b b))
(.f64 b (+.f64 b (.f64 2 a)))
(*.f64 b (fma.f64 2 a b))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (fma.f64 2 (.f64 b a) (.f64 b b)) (*.f64 a a))
(fma.f64 2 (.f64 b a) (fma.f64 b b (.f64 a a)))
(fma.f64 b (fma.f64 2 a b) (*.f64 a a))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (fma.f64 2 (.f64 b a) (.f64 b b)) (*.f64 a a))
(fma.f64 2 (.f64 b a) (fma.f64 b b (.f64 a a)))
(fma.f64 b (fma.f64 2 a b) (*.f64 a a))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 a 2))
(fma.f64 2 (.f64 b a) (.f64 a a))
(.f64 a (+.f64 (.f64 b 2) a))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (fma.f64 2 (.f64 b a) (.f64 b b)) (*.f64 a a))
(fma.f64 2 (.f64 b a) (fma.f64 b b (.f64 a a)))
(fma.f64 b (fma.f64 2 a b) (*.f64 a a))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (fma.f64 2 (.f64 b a) (.f64 b b)) (*.f64 a a))
(fma.f64 2 (.f64 b a) (fma.f64 b b (.f64 a a)))
(fma.f64 b (fma.f64 2 a b) (*.f64 a a))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 a 2))
(fma.f64 2 (.f64 b a) (.f64 a a))
(.f64 a (+.f64 (.f64 b 2) a))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (fma.f64 2 (.f64 b a) (.f64 b b)) (*.f64 a a))
(fma.f64 2 (.f64 b a) (fma.f64 b b (.f64 a a)))
(fma.f64 b (fma.f64 2 a b) (*.f64 a a))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (fma.f64 2 (.f64 b a) (.f64 b b)) (*.f64 a a))
(fma.f64 2 (.f64 b a) (fma.f64 b b (.f64 a a)))
(fma.f64 b (fma.f64 2 a b) (*.f64 a a))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 a 2))
(fma.f64 2 (.f64 b a) (.f64 a a))
(.f64 a (+.f64 (.f64 b 2) a))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (fma.f64 2 (.f64 b a) (.f64 b b)) (*.f64 a a))
(fma.f64 2 (.f64 b a) (fma.f64 b b (.f64 a a)))
(fma.f64 b (fma.f64 2 a b) (*.f64 a a))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (fma.f64 2 (.f64 b a) (.f64 b b)) (*.f64 a a))
(fma.f64 2 (.f64 b a) (fma.f64 b b (.f64 a a)))
(fma.f64 b (fma.f64 2 a b) (*.f64 a a))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(fma.f64 2 (.f64 b a) (.f64 b b))
(.f64 b (+.f64 b (.f64 2 a)))
(*.f64 b (fma.f64 2 a b))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (fma.f64 2 (.f64 b a) (.f64 b b)) (*.f64 a a))
(fma.f64 2 (.f64 b a) (fma.f64 b b (.f64 a a)))
(fma.f64 b (fma.f64 2 a b) (*.f64 a a))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (fma.f64 2 (.f64 b a) (.f64 b b)) (*.f64 a a))
(fma.f64 2 (.f64 b a) (fma.f64 b b (.f64 a a)))
(fma.f64 b (fma.f64 2 a b) (*.f64 a a))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(fma.f64 2 (.f64 b a) (.f64 b b))
(.f64 b (+.f64 b (.f64 2 a)))
(*.f64 b (fma.f64 2 a b))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (fma.f64 2 (.f64 b a) (.f64 b b)) (*.f64 a a))
(fma.f64 2 (.f64 b a) (fma.f64 b b (.f64 a a)))
(fma.f64 b (fma.f64 2 a b) (*.f64 a a))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (fma.f64 2 (.f64 b a) (.f64 b b)) (*.f64 a a))
(fma.f64 2 (.f64 b a) (fma.f64 b b (.f64 a a)))
(fma.f64 b (fma.f64 2 a b) (*.f64 a a))
(+.f64 (.f64 a (+.f64 a b)) (.f64 b (+.f64 a b)))
(pow.f64 (+.f64 b a) 2)
(+.f64 (.f64 b (+.f64 a b)) (.f64 a (+.f64 a b)))
(pow.f64 (+.f64 b a) 2)
(+.f64 (.f64 (.f64 a (+.f64 a b)) 1) (.f64 (.f64 b (+.f64 a b)) 1))
(pow.f64 (+.f64 b a) 2)
(-.f64 (+.f64 1 (pow.f64 (+.f64 a b) 2)) 1)
(pow.f64 (+.f64 b a) 2)
(/.f64 (.f64 (-.f64 (.f64 a a) (.f64 b b)) (-.f64 (.f64 a a) (.f64 b b))) (.f64 (-.f64 a b) (-.f64 a b)))
(.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (-.f64 a b)) (/.f64 (-.f64 (.f64 a a) (*.f64 b b)) (-.f64 a b)))
(/.f64 (.f64 (pow.f64 (+.f64 b a) 2) (.f64 (-.f64 a b) (-.f64 a b))) (*.f64 (-.f64 a b) (-.f64 a b)))
(/.f64 (pow.f64 (+.f64 b a) 2) 1)
(/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (.f64 (fma.f64 a a (.f64 b (-.f64 b a))) (fma.f64 a a (.f64 b (-.f64 b a)))))
(.f64 (/.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (fma.f64 a a (.f64 b (-.f64 b a)))) (/.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (fma.f64 a a (*.f64 b (-.f64 b a)))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (fma.f64 a a (.f64 b (-.f64 b a)))) (fma.f64 a a (*.f64 b (-.f64 b a))))
(.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (/.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) (fma.f64 b (-.f64 b a) (.f64 a a)))))
(/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (.f64 a a) (.f64 b b))) (.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (-.f64 a b)))
(.f64 (/.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (fma.f64 a a (.f64 b (-.f64 b a)))) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (-.f64 a b)))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (/.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (/.f64 (+.f64 b a) (/.f64 (-.f64 a b) (-.f64 a b)))))
(.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (/.f64 (/.f64 (+.f64 b a) 1) (fma.f64 b (-.f64 b a) (.f64 a a))))
(/.f64 (.f64 (-.f64 (.f64 a a) (.f64 b b)) (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (.f64 (-.f64 a b) (fma.f64 a a (*.f64 b (-.f64 b a)))))
(.f64 (/.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (fma.f64 a a (.f64 b (-.f64 b a)))) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (-.f64 a b)))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (/.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (/.f64 (+.f64 b a) (/.f64 (-.f64 a b) (-.f64 a b)))))
(.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (/.f64 (/.f64 (+.f64 b a) 1) (fma.f64 b (-.f64 b a) (.f64 a a))))
(/.f64 (+.f64 (pow.f64 (.f64 a (+.f64 a b)) 3) (pow.f64 (.f64 b (+.f64 a b)) 3)) (+.f64 (.f64 (.f64 a (+.f64 a b)) (.f64 a (+.f64 a b))) (-.f64 (.f64 (.f64 b (+.f64 a b)) (.f64 b (+.f64 a b))) (.f64 (.f64 a (+.f64 a b)) (*.f64 b (+.f64 a b))))))
(/.f64 (+.f64 (pow.f64 (.f64 a (+.f64 b a)) 3) (pow.f64 (.f64 b (+.f64 b a)) 3)) (+.f64 (.f64 (.f64 a a) (pow.f64 (+.f64 b a) 2)) (.f64 (.f64 b (+.f64 b a)) (-.f64 (.f64 b (+.f64 b a)) (.f64 a (+.f64 b a))))))
(/.f64 (.f64 (pow.f64 (+.f64 b a) 3) (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (fma.f64 a (.f64 (pow.f64 (+.f64 b a) 2) a) (.f64 (.f64 (pow.f64 (+.f64 b a) 2) b) (-.f64 b a))))
(/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (pow.f64 (+.f64 b a) 3)) (fma.f64 b (.f64 b (pow.f64 (+.f64 b a) 2)) (.f64 a (.f64 (pow.f64 (+.f64 b a) 2) (-.f64 a b)))))
(/.f64 (-.f64 (.f64 (.f64 a (+.f64 a b)) (.f64 a (+.f64 a b))) (.f64 (.f64 b (+.f64 a b)) (.f64 b (+.f64 a b)))) (-.f64 (.f64 a (+.f64 a b)) (.f64 b (+.f64 a b))))
(.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (-.f64 a b)) (/.f64 (-.f64 (.f64 a a) (*.f64 b b)) (-.f64 a b)))
(/.f64 (.f64 (pow.f64 (+.f64 b a) 2) (.f64 (-.f64 a b) (-.f64 a b))) (*.f64 (-.f64 a b) (-.f64 a b)))
(/.f64 (pow.f64 (+.f64 b a) 2) 1)
(/.f64 (.f64 (+.f64 a b) (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (fma.f64 a a (.f64 b (-.f64 b a))))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (/.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (+.f64 b a)))
(/.f64 (.f64 (+.f64 b a) (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (fma.f64 a a (.f64 b (-.f64 b a))))
(.f64 (+.f64 b a) (/.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (fma.f64 b (-.f64 b a) (.f64 a a))))
(/.f64 (.f64 (+.f64 a b) (-.f64 (.f64 a a) (*.f64 b b))) (-.f64 a b))
(.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (-.f64 a b)) (/.f64 (-.f64 (.f64 a a) (*.f64 b b)) (-.f64 a b)))
(/.f64 (.f64 (pow.f64 (+.f64 b a) 2) (.f64 (-.f64 a b) (-.f64 a b))) (*.f64 (-.f64 a b) (-.f64 a b)))
(/.f64 (pow.f64 (+.f64 b a) 2) 1)
(/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 a b)) (fma.f64 a a (.f64 b (-.f64 b a))))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (/.f64 (fma.f64 a a (*.f64 b (-.f64 b a))) (+.f64 b a)))
(/.f64 (.f64 (+.f64 b a) (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (fma.f64 a a (.f64 b (-.f64 b a))))
(.f64 (+.f64 b a) (/.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (fma.f64 b (-.f64 b a) (.f64 a a))))
(/.f64 (.f64 (-.f64 (.f64 a a) (*.f64 b b)) (+.f64 a b)) (-.f64 a b))
(.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (-.f64 a b)) (/.f64 (-.f64 (.f64 a a) (*.f64 b b)) (-.f64 a b)))
(/.f64 (.f64 (pow.f64 (+.f64 b a) 2) (.f64 (-.f64 a b) (-.f64 a b))) (*.f64 (-.f64 a b) (-.f64 a b)))
(/.f64 (pow.f64 (+.f64 b a) 2) 1)
(pow.f64 (+.f64 a b) 2)
(pow.f64 (+.f64 b a) 2)
(pow.f64 (pow.f64 (+.f64 a b) 2) 1)
(pow.f64 (+.f64 b a) 2)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) 3)
(pow.f64 (+.f64 b a) 2)
(pow.f64 (pow.f64 (pow.f64 (+.f64 a b) 2) 3) 1/3)
(pow.f64 (+.f64 b a) 2)
(sqrt.f64 (pow.f64 (+.f64 a b) 4))
(pow.f64 (+.f64 b a) 2)
(log.f64 (exp.f64 (pow.f64 (+.f64 a b) 2)))
(pow.f64 (+.f64 b a) 2)
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 a b) 2) 3))
(pow.f64 (+.f64 b a) 2)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 a b) 2)))
(pow.f64 (+.f64 b a) 2)
(exp.f64 (*.f64 (log.f64 (+.f64 a b)) 2))
(pow.f64 (+.f64 b a) 2)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 a b) 2)))
(pow.f64 (+.f64 b a) 2)
(fma.f64 a (+.f64 a b) (*.f64 b (+.f64 a b)))
(pow.f64 (+.f64 b a) 2)
(fma.f64 (+.f64 a b) a (*.f64 b (+.f64 a b)))
(pow.f64 (+.f64 b a) 2)

eval38.0ms (1.9%)

Compiler: Compiled 922 to 327 computations (64.5% saved)

prune8.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	3	58

Accurracy

100.0%

Counts

58 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
▶	100.0%	(.f64 b (+.f64 b (.f64 2 a)))
▶	99.4%	(*.f64 b b)
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
▶	100.0%	(.f64 b (+.f64 b (.f64 2 a)))
▶	99.4%	(*.f64 b b)

Compiler

Compiled 46 to 26 computations (43.5% saved)

localize57.0ms (2.9%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(.f64 b (+.f64 b (.f64 2 a)))

Compiler

Compiled 25 to 14 computations (44% saved)

series4.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	b	@	-inf	(.f64 b (+.f64 b (.f64 2 a)))
0.0ms	a	@	-inf	(.f64 b (+.f64 b (.f64 2 a)))
0.0ms	b	@	0	(.f64 b (+.f64 b (.f64 2 a)))
0.0ms	a	@	inf	(.f64 b (+.f64 b (.f64 2 a)))
0.0ms	b	@	inf	(.f64 b (+.f64 b (.f64 2 a)))

rewrite89.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1832×	`pow1`
1704×	`add-exp-log`
1702×	`log1p-expm1-u`
1702×	`expm1-log1p-u`
1674×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	173	15
2	2332	15

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(.f64 b (+.f64 b (.f64 2 a)))

Outputs
(+.f64 (.f64 b b) (.f64 (*.f64 b 2) a))
(+.f64 (.f64 (.f64 b 2) a) (*.f64 b b))
(+.f64 (.f64 (.f64 b b) 1) (.f64 (.f64 (*.f64 b 2) a) 1))
(-.f64 (+.f64 1 (*.f64 b (fma.f64 2 a b))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 b b) 3) (pow.f64 (.f64 (.f64 b 2) a) 3)) (+.f64 (.f64 (.f64 b b) (.f64 b b)) (-.f64 (.f64 (.f64 (.f64 b 2) a) (.f64 (.f64 b 2) a)) (.f64 (.f64 b b) (.f64 (*.f64 b 2) a)))))
(/.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 (.f64 b 2) a) (.f64 (.f64 b 2) a))) (-.f64 (.f64 b b) (.f64 (*.f64 b 2) a)))
(/.f64 (.f64 b (+.f64 (.f64 (pow.f64 a 3) 8) (pow.f64 b 3))) (fma.f64 b b (.f64 (.f64 2 a) (-.f64 (*.f64 2 a) b))))
(/.f64 (.f64 b (-.f64 (.f64 b b) (.f64 (.f64 a a) 4))) (+.f64 b (*.f64 -2 a)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 a 3) 8) (pow.f64 b 3)) b) (fma.f64 b b (.f64 (.f64 2 a) (-.f64 (*.f64 2 a) b))))
(/.f64 (.f64 (-.f64 (.f64 b b) (.f64 (.f64 a a) 4)) b) (+.f64 b (*.f64 -2 a)))
(pow.f64 (*.f64 b (fma.f64 2 a b)) 1)
(pow.f64 (cbrt.f64 (*.f64 b (fma.f64 2 a b))) 3)
(pow.f64 (pow.f64 (*.f64 b (fma.f64 2 a b)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 b (fma.f64 2 a b))) 2)
(sqrt.f64 (pow.f64 (*.f64 b (fma.f64 2 a b)) 2))
(log.f64 (pow.f64 (exp.f64 b) (fma.f64 2 a b)))
(cbrt.f64 (pow.f64 (*.f64 b (fma.f64 2 a b)) 3))
(cbrt.f64 (*.f64 (pow.f64 b 3) (pow.f64 (fma.f64 2 a b) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 2 a b) 3) (pow.f64 b 3)))
(expm1.f64 (log1p.f64 (*.f64 b (fma.f64 2 a b))))
(exp.f64 (log.f64 (*.f64 b (fma.f64 2 a b))))
(log1p.f64 (expm1.f64 (*.f64 b (fma.f64 2 a b))))
(fma.f64 b b (.f64 (.f64 b 2) a))

simplify58.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1362×	`distribute-lft-in`
1280×	`distribute-rgt-in`
638×	`fma-def`
532×	`fma-neg`
472×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	87	1147
1	252	893
2	927	893
3	3300	893

Stop Event

1×	node limit

Counts

47 → 39

Calls

Call 1

Inputs
(.f64 2 (.f64 a b))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(pow.f64 b 2)
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(pow.f64 b 2)
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(pow.f64 b 2)
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(.f64 2 (.f64 a b))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(.f64 2 (.f64 a b))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(+.f64 (.f64 b b) (.f64 (*.f64 b 2) a))
(+.f64 (.f64 (.f64 b 2) a) (*.f64 b b))
(+.f64 (.f64 (.f64 b b) 1) (.f64 (.f64 (*.f64 b 2) a) 1))
(-.f64 (+.f64 1 (*.f64 b (fma.f64 2 a b))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 b b) 3) (pow.f64 (.f64 (.f64 b 2) a) 3)) (+.f64 (.f64 (.f64 b b) (.f64 b b)) (-.f64 (.f64 (.f64 (.f64 b 2) a) (.f64 (.f64 b 2) a)) (.f64 (.f64 b b) (.f64 (*.f64 b 2) a)))))
(/.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 (.f64 b 2) a) (.f64 (.f64 b 2) a))) (-.f64 (.f64 b b) (.f64 (*.f64 b 2) a)))
(/.f64 (.f64 b (+.f64 (.f64 (pow.f64 a 3) 8) (pow.f64 b 3))) (fma.f64 b b (.f64 (.f64 2 a) (-.f64 (*.f64 2 a) b))))
(/.f64 (.f64 b (-.f64 (.f64 b b) (.f64 (.f64 a a) 4))) (+.f64 b (*.f64 -2 a)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 a 3) 8) (pow.f64 b 3)) b) (fma.f64 b b (.f64 (.f64 2 a) (-.f64 (*.f64 2 a) b))))
(/.f64 (.f64 (-.f64 (.f64 b b) (.f64 (.f64 a a) 4)) b) (+.f64 b (*.f64 -2 a)))
(pow.f64 (*.f64 b (fma.f64 2 a b)) 1)
(pow.f64 (cbrt.f64 (*.f64 b (fma.f64 2 a b))) 3)
(pow.f64 (pow.f64 (*.f64 b (fma.f64 2 a b)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 b (fma.f64 2 a b))) 2)
(sqrt.f64 (pow.f64 (*.f64 b (fma.f64 2 a b)) 2))
(log.f64 (pow.f64 (exp.f64 b) (fma.f64 2 a b)))
(cbrt.f64 (pow.f64 (*.f64 b (fma.f64 2 a b)) 3))
(cbrt.f64 (*.f64 (pow.f64 b 3) (pow.f64 (fma.f64 2 a b) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 2 a b) 3) (pow.f64 b 3)))
(expm1.f64 (log1p.f64 (*.f64 b (fma.f64 2 a b))))
(exp.f64 (log.f64 (*.f64 b (fma.f64 2 a b))))
(log1p.f64 (expm1.f64 (*.f64 b (fma.f64 2 a b))))
(fma.f64 b b (.f64 (.f64 b 2) a))

Outputs
(.f64 2 (.f64 a b))
(.f64 a (.f64 2 b))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(.f64 2 (.f64 a b))
(.f64 a (.f64 2 b))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(.f64 2 (.f64 a b))
(.f64 a (.f64 2 b))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(+.f64 (.f64 b b) (.f64 (*.f64 b 2) a))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(+.f64 (.f64 (.f64 b 2) a) (*.f64 b b))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(+.f64 (.f64 (.f64 b b) 1) (.f64 (.f64 (*.f64 b 2) a) 1))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(-.f64 (+.f64 1 (*.f64 b (fma.f64 2 a b))) 1)
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(/.f64 (+.f64 (pow.f64 (.f64 b b) 3) (pow.f64 (.f64 (.f64 b 2) a) 3)) (+.f64 (.f64 (.f64 b b) (.f64 b b)) (-.f64 (.f64 (.f64 (.f64 b 2) a) (.f64 (.f64 b 2) a)) (.f64 (.f64 b b) (.f64 (*.f64 b 2) a)))))
(/.f64 (+.f64 (pow.f64 (.f64 b b) 3) (pow.f64 (.f64 a (.f64 2 b)) 3)) (+.f64 (.f64 b (pow.f64 b 3)) (.f64 (.f64 a (.f64 2 b)) (-.f64 (.f64 a (.f64 2 b)) (.f64 b b)))))
(/.f64 (+.f64 (pow.f64 b 6) (pow.f64 (.f64 a (.f64 2 b)) 3)) (fma.f64 (.f64 a (.f64 2 b)) (.f64 b (-.f64 (.f64 2 a) b)) (pow.f64 b 4)))
(/.f64 (+.f64 (pow.f64 b 6) (.f64 8 (pow.f64 (.f64 a b) 3))) (fma.f64 (.f64 2 (.f64 a b)) (*.f64 b (fma.f64 2 a (neg.f64 b))) (pow.f64 b 4)))
(/.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 (.f64 b 2) a) (.f64 (.f64 b 2) a))) (-.f64 (.f64 b b) (.f64 (*.f64 b 2) a)))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(/.f64 (.f64 b (+.f64 (.f64 (pow.f64 a 3) 8) (pow.f64 b 3))) (fma.f64 b b (.f64 (.f64 2 a) (-.f64 (*.f64 2 a) b))))
(/.f64 b (/.f64 (fma.f64 b b (.f64 2 (.f64 a (-.f64 (*.f64 2 a) b)))) (fma.f64 (pow.f64 a 3) 8 (pow.f64 b 3))))
(/.f64 b (/.f64 (+.f64 (.f64 a (.f64 a 4)) (*.f64 b (fma.f64 a -2 b))) (fma.f64 (pow.f64 a 3) 8 (pow.f64 b 3))))
(.f64 (fma.f64 (pow.f64 a 3) 8 (pow.f64 b 3)) (/.f64 b (+.f64 (.f64 b (fma.f64 a -2 b)) (.f64 a (.f64 a 4)))))
(/.f64 (.f64 b (-.f64 (.f64 b b) (.f64 (.f64 a a) 4))) (+.f64 b (*.f64 -2 a)))
(/.f64 (-.f64 (.f64 b b) (.f64 a (.f64 a 4))) (/.f64 (+.f64 b (.f64 a -2)) b))
(.f64 (/.f64 b (fma.f64 a -2 b)) (fma.f64 b b (.f64 (*.f64 a a) -4)))
(.f64 b (/.f64 (fma.f64 a (.f64 a -4) (*.f64 b b)) (fma.f64 a -2 b)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 a 3) 8) (pow.f64 b 3)) b) (fma.f64 b b (.f64 (.f64 2 a) (-.f64 (*.f64 2 a) b))))
(/.f64 b (/.f64 (fma.f64 b b (.f64 2 (.f64 a (-.f64 (*.f64 2 a) b)))) (fma.f64 (pow.f64 a 3) 8 (pow.f64 b 3))))
(/.f64 b (/.f64 (+.f64 (.f64 a (.f64 a 4)) (*.f64 b (fma.f64 a -2 b))) (fma.f64 (pow.f64 a 3) 8 (pow.f64 b 3))))
(.f64 (fma.f64 (pow.f64 a 3) 8 (pow.f64 b 3)) (/.f64 b (+.f64 (.f64 b (fma.f64 a -2 b)) (.f64 a (.f64 a 4)))))
(/.f64 (.f64 (-.f64 (.f64 b b) (.f64 (.f64 a a) 4)) b) (+.f64 b (*.f64 -2 a)))
(/.f64 (-.f64 (.f64 b b) (.f64 a (.f64 a 4))) (/.f64 (+.f64 b (.f64 a -2)) b))
(.f64 (/.f64 b (fma.f64 a -2 b)) (fma.f64 b b (.f64 (*.f64 a a) -4)))
(.f64 b (/.f64 (fma.f64 a (.f64 a -4) (*.f64 b b)) (fma.f64 a -2 b)))
(pow.f64 (*.f64 b (fma.f64 2 a b)) 1)
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(pow.f64 (cbrt.f64 (*.f64 b (fma.f64 2 a b))) 3)
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(pow.f64 (pow.f64 (*.f64 b (fma.f64 2 a b)) 3) 1/3)
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(pow.f64 (sqrt.f64 (*.f64 b (fma.f64 2 a b))) 2)
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(sqrt.f64 (pow.f64 (*.f64 b (fma.f64 2 a b)) 2))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(log.f64 (pow.f64 (exp.f64 b) (fma.f64 2 a b)))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(cbrt.f64 (pow.f64 (*.f64 b (fma.f64 2 a b)) 3))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(cbrt.f64 (*.f64 (pow.f64 b 3) (pow.f64 (fma.f64 2 a b) 3)))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 2 a b) 3) (pow.f64 b 3)))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(expm1.f64 (log1p.f64 (*.f64 b (fma.f64 2 a b))))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(exp.f64 (log.f64 (*.f64 b (fma.f64 2 a b))))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(log1p.f64 (expm1.f64 (*.f64 b (fma.f64 2 a b))))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(fma.f64 b b (.f64 (.f64 b 2) a))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))

eval10.0ms (0.5%)

Compiler: Compiled 559 to 330 computations (41% saved)

prune7.0ms (0.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	39	3	42

Accurracy

100.0%

Counts

42 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
✓	100.0%	(.f64 b (+.f64 b (.f64 2 a)))
✓	99.4%	(*.f64 b b)

Compiler

Compiled 42 to 22 computations (47.6% saved)

regimes14.0ms (0.7%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 b b)
(.f64 b (+.f64 b (.f64 2 a)))
(*.f64 (+.f64 a b) (+.f64 a b))

Outputs
(.f64 b (+.f64 b (.f64 2 a)))

Calls

4 calls:

4.0ms	b
3.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
3.0ms	(+.f64 a b)
2.0ms	a

Results

Accuracy	Segments	Branch
100.0%	1	`a`
100.0%	1	`b`
100.0%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
100.0%	1	`(+.f64 a b)`

Compiler

Compiled 39 to 20 computations (48.7% saved)

regimes6.0ms (0.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 b b)

Outputs
(*.f64 b b)

Calls

2 calls:

2.0ms	b
2.0ms	a

Results

Accuracy	Segments	Branch
99.4%	1	`a`
99.4%	1	`b`

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	12	26

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(.f64 b (+.f64 b (.f64 2 a)))
(*.f64 b b)

Outputs
(.f64 b (+.f64 b (.f64 2 a)))
(*.f64 b b)

Compiler

Compiled 14 to 9 computations (35.7% saved)

soundness168.0ms (8.5%)

Rules

1394×	`distribute-lft-in`
1394×	`distribute-lft-in`
1358×	`fma-def`
1358×	`fma-def`
1344×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	92	1538
1	310	1432
2	1353	1138
0	92	1538
1	310	1432
2	1353	1138

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 53 to 30 computations (43.4% saved)

end0.0ms (0%)

preprocess68.0ms (3.4%)

Compiler: Compiled 94 to 50 computations (46.8% saved)

analyze0.0ms (0%)

sample861.0ms (43.4%)

preprocess169.0ms (8.5%)

simplify6.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize20.0ms (1%)

series2.0ms (0.1%)

rewrite96.0ms (4.8%)

simplify300.0ms (15.1%)

eval38.0ms (1.9%)

prune8.0ms (0.4%)

localize57.0ms (2.9%)

series4.0ms (0.2%)

rewrite89.0ms (4.5%)

simplify58.0ms (2.9%)

eval10.0ms (0.5%)

prune7.0ms (0.3%)

regimes14.0ms (0.7%)

regimes6.0ms (0.3%)

simplify4.0ms (0.2%)

soundness168.0ms (8.5%)

end0.0ms (0%)

preprocess68.0ms (3.4%)

Profiling