Details

analyze58.0ms (4.6%)

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)

sample705.0ms (55.7%)

Results

670.0ms	8256×	body	256	valid
24.0ms	321×	body	256	infinite

Bogosity

preprocess113.0ms (8.9%)

Algorithm

2×	egg-herbie

Rules

856×	`fma-def_binary64`
576×	`distribute-rgt-in_binary64`
560×	`unsub-neg_binary64`
508×	`fma-neg_binary64`
432×	`distribute-rgt-out--_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	25	20
2	47	20
3	103	20
4	273	20
5	821	20
6	2115	20
7	3862	20
8	5608	20
9	6168	20
10	6281	20
11	6395	20
12	6475	20
13	6475	20
14	7856	20
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))
(fma.f64 a a (*.f64 b (neg.f64 b)))
(-.f64 (.f64 b b) (.f64 a a))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify106.0ms (8.3%)

Algorithm

1×	egg-herbie

Rules

697×	`fma-def_binary64`
611×	`unsub-neg_binary64`
582×	`fma-neg_binary64`
443×	`distribute-rgt-out--_binary64`
409×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	15	10
2	27	10
3	56	10
4	133	10
5	382	10
6	832	10
7	1661	10
8	3915	10
9	5409	10
10	6280	10
11	6701	10
12	6947	10
13	7062	10
14	7062	10

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 (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(-.f64 (.f64 a a) (.f64 b b))

Compiler

Compiled 9 to 5 computations (44.4% saved)

localize5.0ms (0.4%)

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)

series3.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	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	b	@	-inf	(-.f64 (.f64 a a) (.f64 b b))

rewrite43.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

733×	`pow1_binary64`
684×	`add-log-exp_binary64`
684×	`log1p-expm1-u_binary64`
684×	`expm1-log1p-u_binary64`
667×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	139	10
2	1985	10

Stop Event

1×	node limit

Counts

1 → 46

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

simplify53.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

750×	`fma-def_binary64`
353×	`distribute-rgt-in_binary64`
313×	`distribute-lft-in_binary64`
298×	`fma-neg_binary64`
236×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	125	1007
1	344	953
2	1550	882
3	7940	882

Stop Event

1×	node limit

Counts

70 → 68

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

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

eval13.0ms (1%)

Compiler: Compiled 1153 to 374 computations (67.6% saved)

prune12.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	65	4	69

Error

Counts

69 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(fma.f64 a a (*.f64 b (neg.f64 b)))
✓	0.0b	(-.f64 (.f64 a a) (.f64 b b))
▶	29.4b	(*.f64 b (neg.f64 b))
▶	26.2b	(*.f64 a a)

Compiler

Compiled 29 to 17 computations (41.4% saved)

localize2.0ms (0.2%)

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

localize4.0ms (0.3%)

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

localize6.0ms (0.5%)

Compiler: Compiled 17 to 5 computations (70.6% saved)

eval0.0ms (0%)

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

prune1.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

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

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(fma.f64 a a (*.f64 b (neg.f64 b)))
✓	0.0b	(-.f64 (.f64 a a) (.f64 b b))
✓	29.4b	(*.f64 b (neg.f64 b))
✓	26.2b	(*.f64 a a)

Compiler

Compiled 29 to 17 computations (41.4% saved)

regimes21.0ms (1.7%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 58 to 29 computations (50% saved)

regimes15.0ms (1.2%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	a
3.0ms	b
3.0ms	(-.f64 (.f64 a a) (.f64 b b))
2.0ms	(*.f64 a a)
2.0ms	(*.f64 b b)

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 41 to 22 computations (46.3% saved)

regimes32.0ms (2.5%)

Accuracy

Total -44.8b remaining (-452%)

Threshold costs -44.8b (-452%)

Counts

2 → 6

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))
(*.f64 a a)

Calls

3 calls:

12.0ms	(*.f64 a a)
11.0ms	a
8.0ms	b

Results

Error	Segments	Branch
12.4b	3	`a`
11.1b	3	`b`
9.9b	6	`(*.f64 a a)`

Compiler

Compiled 20 to 12 computations (40% saved)

bsearch39.0ms (3.1%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
8.0ms	6.721086156668305e-81	3.1717237715385382e-80
0.0ms	2.197319188410059e-120	2.2763895174111954e-120
11.0ms	2.4938554045224223e-170	2.68998132003814e-168
8.0ms	2.05288232252679e-226	1.0749242732241011e-225
11.0ms	2.5e-323	1.3364013704580345e-305

Results

34.0ms

432×

body

256

valid

Compiler

Compiled 311 to 225 computations (27.7% saved)

simplify5.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	99
1	34	99
2	39	99
3	42	99
4	43	99

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(fma.f64 a a (*.f64 b (neg.f64 b)))
(-.f64 (.f64 a a) (.f64 b b))
(if (<=.f64 (.f64 a a) 2569559856440467/197658450495420525734858737030192682665582665785295037457911482448662440984370455949180062208434691889831130726871886632216610095103313942252942773379627451095231859645084337269987214591887906583241960623508540106017585433031926463494241558251132379239072320812850360890950600210186037629088210457662115491511433340911616) (.f64 b (neg.f64 b)) (if (<=.f64 (.f64 a a) 1600323463891165/6668014432879854274079851790721257797144758322315908160396257811764037237817632071521432200871554290742929910593433240445888801654119365080363356052330830046095157579514014558463078285911814024728965016135886601981690748037476461291163877376) (.f64 a a) (if (<=.f64 (.f64 a a) 2761917562647189/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (.f64 b (neg.f64 b)) (if (<=.f64 (.f64 a a) 6396180773801341/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624) (.f64 a a) (if (<=.f64 (.f64 a a) 3631177961065547/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (.f64 b (neg.f64 b)) (*.f64 a a))))))
(*.f64 a a)

Outputs
(fma.f64 a a (*.f64 b (neg.f64 b)))
(-.f64 (.f64 a a) (.f64 b b))
(if (<=.f64 (.f64 a a) 2569559856440467/197658450495420525734858737030192682665582665785295037457911482448662440984370455949180062208434691889831130726871886632216610095103313942252942773379627451095231859645084337269987214591887906583241960623508540106017585433031926463494241558251132379239072320812850360890950600210186037629088210457662115491511433340911616) (.f64 b (neg.f64 b)) (if (<=.f64 (.f64 a a) 1600323463891165/6668014432879854274079851790721257797144758322315908160396257811764037237817632071521432200871554290742929910593433240445888801654119365080363356052330830046095157579514014558463078285911814024728965016135886601981690748037476461291163877376) (.f64 a a) (if (<=.f64 (.f64 a a) 2761917562647189/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (.f64 b (neg.f64 b)) (if (<=.f64 (.f64 a a) 6396180773801341/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624) (.f64 a a) (if (<=.f64 (.f64 a a) 3631177961065547/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (.f64 b (neg.f64 b)) (*.f64 a a))))))
(*.f64 a a)

Compiler

Compiled 76 to 33 computations (56.6% saved)

soundness0.0ms (0%)

end28.0ms (2.2%)

Compiler: Compiled 70 to 23 computations (67.1% saved)

Details

analyze58.0ms (4.6%)

sample705.0ms (55.7%)

preprocess113.0ms (8.9%)

simplify106.0ms (8.3%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize5.0ms (0.4%)

series3.0ms (0.2%)

rewrite43.0ms (3.4%)

simplify53.0ms (4.2%)

eval13.0ms (1%)

prune12.0ms (0.9%)

localize2.0ms (0.2%)

localize4.0ms (0.3%)

localize6.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes21.0ms (1.7%)

regimes15.0ms (1.2%)

regimes32.0ms (2.5%)

bsearch39.0ms (3.1%)

simplify5.0ms (0.4%)

soundness0.0ms (0%)

end28.0ms (2.2%)

Profiling