Details

analyze52.0ms (3.1%)

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
28.6%	25%	62.4%	0.1%	12.5%	0%	0%	6
33.3%	25%	50%	0.1%	25%	0%	0%	7
45.5%	31.2%	37.5%	0.1%	31.2%	0%	0%	8
61.7%	39%	24.2%	0.1%	36.7%	0%	0%	9
70.1%	42.9%	18.3%	0.1%	38.6%	0%	0%	10
79.9%	47.2%	11.9%	0.1%	40.8%	0%	0%	11
84.5%	49.4%	9.1%	0.1%	41.5%	0%	0%	12

Compiler

Compiled 10 to 6 computations (40% saved)

sample789.0ms (46.4%)

Results

751.0ms	8256×	body	256	valid
27.0ms	355×	body	256	infinite

Bogosity

preprocess135.0ms (7.9%)

Algorithm

2×	egg-herbie

Rules

1348×	`associate-+r-`
1296×	`fma-def`
1120×	`associate--l+`
1096×	`associate-+l-`
1086×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	38
1	28	38
2	49	38
3	103	38
4	253	38
5	921	38
6	3015	38
7	4475	38
8	6053	38
9	6608	38
10	6721	38
11	6835	38
12	6915	38
13	6915	38
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(-.f64 (.f64 a a) (.f64 b b))
(-.f64 (.f64 b b) (.f64 a a))

Outputs
(-.f64 (.f64 a a) (.f64 b b))
(-.f64 (.f64 b b) (.f64 a a))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify162.0ms (9.5%)

Algorithm

1×	egg-herbie

Rules

1420×	`fma-def`
1404×	`distribute-lft-out`
1070×	`*-commutative`
982×	`+-commutative`
970×	`associate-+r-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	18	19
2	30	19
3	58	19
4	131	19
5	363	19
6	1010	19
7	2028	19
8	4473	19
9	6300	19
10	7278	19
11	7602	19
12	7832	19
13	7946	19
14	7946	19

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 (.f64 a a) (.f64 b b))

Outputs
(-.f64 (.f64 a a) (.f64 b b))

eval0.0ms (0%)

Compiler: Compiled 9 to 5 computations (44.4% 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 (.f64 a a) (.f64 b b))

Compiler

Compiled 9 to 5 computations (44.4% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 a a) (.f64 b b))

Compiler

Compiled 17 to 5 computations (70.6% saved)

series1.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite59.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1700×	`add-sqr-sqrt`
1680×	`*-un-lft-identity`
1570×	`add-cube-cbrt`
1558×	`add-cbrt-cube`
168×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	159	19
2	2247	19

Stop Event

1×	node limit

Counts

1 → 48

Calls

Call 1

Inputs
(-.f64 (.f64 a a) (.f64 b b))

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

Outputs

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

simplify77.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

1272×	`fma-def`
1110×	`+-commutative`
758×	`distribute-lft-in`
680×	`distribute-rgt-in`
498×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	132	2116
1	352	2002
2	1670	1848
3	7814	1848

Stop Event

1×	node limit

Counts

72 → 70

Calls

Call 1

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

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

eval13.0ms (0.8%)

Compiler: Compiled 1164 to 381 computations (67.3% saved)

prune19.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	67	4	71

Error

Counts

71 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (.f64 a a) (.f64 b b))
▶	0.0b	(*.f64 (-.f64 a b) (+.f64 a b))
▶	25.5b	(*.f64 b (neg.f64 b))
▶	31.7b	(*.f64 a a)

Compiler

Compiled 29 to 17 computations (41.4% saved)

localize3.0ms (0.2%)

Compiler: Compiled 6 to 3 computations (50% saved)

localize4.0ms (0.2%)

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

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 a b) (+.f64 a b))

Compiler

Compiled 17 to 5 computations (70.6% saved)

series1.0ms (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	@	0	(*.f64 (-.f64 a b) (+.f64 a b))

rewrite101.0ms (5.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1938×	`add-sqr-sqrt`
1922×	`*-un-lft-identity`
1804×	`add-cube-cbrt`
1776×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	160	19
2	2397	19

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

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

Outputs

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

simplify55.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1684×	`associate-/l*`
770×	`associate-*r/`
764×	`associate-*l/`
714×	`unswap-sqr`
666×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	149	2696
1	496	1768
2	2490	1760

Stop Event

1×	node limit

Counts

68 → 82

Calls

Call 1

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

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

eval18.0ms (1.1%)

Compiler: Compiled 1439 to 520 computations (63.9% saved)

prune37.0ms (2.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	82	4	86

Error

Counts

86 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (.f64 a a) (.f64 b b))
✓	0.0b	(*.f64 (-.f64 a b) (+.f64 a b))
✓	25.5b	(*.f64 b (neg.f64 b))
✓	31.7b	(*.f64 a a)

Compiler

Compiled 29 to 17 computations (41.4% saved)

regimes18.0ms (1.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	a
4.0ms	(-.f64 (.f64 a a) (.f64 b b))
4.0ms	b
3.0ms	(*.f64 b b)
3.0ms	(*.f64 a a)

Results

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

Compiler

Compiled 48 to 25 computations (47.9% saved)

regimes33.0ms (2%)

Accuracy

Total -47.3b remaining (-521.8%)

Threshold costs -47.3b (-521.8%)

Counts

2 → 5

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	b
12.0ms	a
4.0ms	(*.f64 a a)

Results

Error	Segments	Branch
12.1b	3	`a`
9.1b	5	`b`
12.4b	2	`(*.f64 a a)`

Compiler

Compiled 20 to 12 computations (40% saved)

bsearch70.0ms (4.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
12.0ms	4.393745721649133e-13	5.248317422170524e-10
42.0ms	7.363688856233197e-56	2.6120523364753238e-55
10.0ms	4.1824972844528015e-113	5.8273958248297505e-111
6.0ms	-7.89036811267481e-117	-4.598346391524511e-117

Results

66.0ms

384×

body

256

valid

Compiler

Compiled 326 to 225 computations (31% saved)

simplify8.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

8×	`not-or`
8×	`+-commutative`
8×	`*-commutative`
6×	`not-not`
6×	`if-if-or-not`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	105
1	41	105
2	49	101
3	58	97
4	63	97
5	67	97
6	68	97
7	69	97

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

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

(if (<=.f64 b -5323525812711965/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944) (*.f64 b (neg.f64 b)) (if (<=.f64 b 7310750170045117/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152) (*.f64 a a) (if (<=.f64 b 4196261778848663/55213970774324510299478046898216203619608871777363092441300193790394368) (*.f64 b (neg.f64 b)) (if (<=.f64 b 8715097876569077/19807040628566084398385987584) (*.f64 a a) (*.f64 b (neg.f64 b))))))

(*.f64 a a)

Outputs
(*.f64 (-.f64 a b) (+.f64 a b))
(if (<=.f64 b -5323525812711965/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944) (.f64 b (neg.f64 b)) (if (<=.f64 b 7310750170045117/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152) (.f64 a a) (if (<=.f64 b 4196261778848663/55213970774324510299478046898216203619608871777363092441300193790394368) (.f64 b (neg.f64 b)) (if (<=.f64 b 8715097876569077/19807040628566084398385987584) (.f64 a a) (*.f64 b (neg.f64 b))))))
(if (<=.f64 b -5323525812711965/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944) (.f64 b (neg.f64 b)) (if (<=.f64 b 7310750170045117/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152) (.f64 a a) (if (or (<=.f64 b 4196261778848663/55213970774324510299478046898216203619608871777363092441300193790394368) (not (<=.f64 b 8715097876569077/19807040628566084398385987584))) (.f64 b (neg.f64 b)) (.f64 a a))))
(if (or (<=.f64 b -5323525812711965/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944) (not (or (<=.f64 b 7310750170045117/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152) (not (or (<=.f64 b 4196261778848663/55213970774324510299478046898216203619608871777363092441300193790394368) (not (<=.f64 b 8715097876569077/19807040628566084398385987584))))))) (.f64 b (neg.f64 b)) (.f64 a a))
(if (or (<=.f64 b -5323525812711965/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944) (not (or (<=.f64 b 7310750170045117/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152) (and (not (<=.f64 b 4196261778848663/55213970774324510299478046898216203619608871777363092441300193790394368)) (<=.f64 b 8715097876569077/19807040628566084398385987584))))) (.f64 b (neg.f64 b)) (.f64 a a))
(*.f64 a a)

Compiler

Compiled 41 to 27 computations (34.1% saved)

soundness0.0ms (0%)

end32.0ms (1.9%)

Compiler: Compiled 37 to 22 computations (40.5% saved)

Details

analyze52.0ms (3.1%)

sample789.0ms (46.4%)

preprocess135.0ms (7.9%)

simplify162.0ms (9.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.3%)

series1.0ms (0.1%)

rewrite59.0ms (3.5%)

simplify77.0ms (4.5%)

eval13.0ms (0.8%)

prune19.0ms (1.1%)

localize3.0ms (0.2%)

localize4.0ms (0.2%)

localize6.0ms (0.3%)

series1.0ms (0.1%)

rewrite101.0ms (5.9%)

simplify55.0ms (3.2%)

eval18.0ms (1.1%)

prune37.0ms (2.2%)

regimes18.0ms (1.1%)

regimes33.0ms (2%)

bsearch70.0ms (4.1%)

simplify8.0ms (0.5%)

soundness0.0ms (0%)

end32.0ms (1.9%)

Profiling