Details

analyze97.0ms (4.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
25%	50%	25.1%	7
31.2%	37.5%	31.3%	8
39%	24.2%	36.8%	9
42.9%	18.3%	38.7%	10
47.2%	11.9%	40.9%	11
49.4%	9.1%	41.6%	12

Compiler

Compiled 10 to 6 computations (40% saved)

sample802.0ms (37%)

Results

762.0ms	8256×	body	256	valid
28.0ms	332×	body	256	invalid

preprocess148.0ms (6.8%)

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)

simplify127.0ms (5.9%)

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%)

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)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite54.0ms (2.5%)

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)))))))

simplify54.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

897×	`fma-neg_binary64`
692×	`distribute-rgt-neg-in_binary64`
674×	`fma-def_binary64`
606×	`distribute-lft-neg-in_binary64`
486×	`unswap-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	228
1	21	210
2	42	210
3	87	210
4	223	210
5	763	210
6	1792	210
7	5169	210

Stop Event

1×	node limit

Counts

70 → 51

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))

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 -1 (.f64 b b) (.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 a a (*.f64 b (neg.f64 b)))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 -1 (.f64 b b) (.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 a a (*.f64 b (neg.f64 b)))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 -1 (.f64 b b) (.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 a a (*.f64 b (neg.f64 b)))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 -1 (.f64 b b) (.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 a a (*.f64 b (neg.f64 b)))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 -1 (.f64 b b) (.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 a a (*.f64 b (neg.f64 b)))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 -1 (.f64 b b) (.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 a a (*.f64 b (neg.f64 b)))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 -1 (.f64 b b) (.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 a a (*.f64 b (neg.f64 b)))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 -1 (.f64 b b) (.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 a a (*.f64 b (neg.f64 b)))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 -1 (.f64 b b) (.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 a a (*.f64 b (neg.f64 b)))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 -1 (.f64 b b) (.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 a a (*.f64 b (neg.f64 b)))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 -1 (.f64 b b) (.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 a a (*.f64 b (neg.f64 b)))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 -1 (.f64 b b) (.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 a a (*.f64 b (neg.f64 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 -1 (.f64 b b) (.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 a a (*.f64 b (neg.f64 b)))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 -1 (.f64 b b) (.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 a a (*.f64 b (neg.f64 b)))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 -1 (.f64 b b) (.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 a a (*.f64 b (neg.f64 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 -1 (.f64 b b) (.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 a a (*.f64 b (neg.f64 b)))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 -1 (.f64 b b) (.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 a a (*.f64 b (neg.f64 b)))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 -1 (.f64 b b) (.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 a a (*.f64 b (neg.f64 b)))

eval13.0ms (0.6%)

Compiler: Compiled 777 to 233 computations (70% saved)

prune8.0ms (0.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	47	4	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	4	52

Error

Counts

52 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(*.f64 (-.f64 a b) (+.f64 a b))
▶	28.8b	(*.f64 a a)
▶	0.2b	(fma.f64 (+.f64 a b) (-.f64 a b) (fma.f64 (neg.f64 b) b (*.f64 b b)))
▶	27.6b	(*.f64 b (neg.f64 b))

Compiler

Compiled 36 to 20 computations (44.4% saved)

localize3.0ms (0.1%)

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)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite56.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

863×	`pow1_binary64`
807×	`add-log-exp_binary64`
807×	`log1p-expm1-u_binary64`
807×	`expm1-log1p-u_binary64`
788×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	140	10
2	2219	10

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

simplify72.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

520×	`unswap-sqr_binary64`
471×	`associate-l_binary64`
391×	`unsub-neg_binary64`
387×	`fma-neg_binary64`
359×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	300
1	72	192
2	220	180
3	324	180
4	724	180
5	2730	180
6	5799	180
7	7509	180

Stop Event

1×	node limit

Counts

68 → 57

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)))

Outputs
(*.f64 -1 (pow.f64 b 2))
(neg.f64 (*.f64 b b))
(*.f64 b (neg.f64 b))
(+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 (+.f64 b (*.f64 -1 b)) a))
(neg.f64 (*.f64 b b))
(*.f64 b (neg.f64 b))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (.f64 (+.f64 b (*.f64 -1 b)) a)))
(fma.f64 -1 (.f64 b b) (+.f64 (.f64 (.f64 0 b) a) (.f64 a a)))
(-.f64 (fma.f64 a a 0) (*.f64 b b))
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 (+.f64 b a) (-.f64 a b))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (.f64 (+.f64 b (*.f64 -1 b)) a)))
(fma.f64 -1 (.f64 b b) (+.f64 (.f64 (.f64 0 b) a) (.f64 a a)))
(-.f64 (fma.f64 a a 0) (*.f64 b b))
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 (+.f64 b a) (-.f64 a b))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (pow.f64 a 2) (.f64 (+.f64 b (.f64 -1 b)) a))
(*.f64 a a)
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (.f64 (+.f64 b (*.f64 -1 b)) a)))
(fma.f64 -1 (.f64 b b) (+.f64 (.f64 (.f64 0 b) a) (.f64 a a)))
(-.f64 (fma.f64 a a 0) (*.f64 b b))
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 (+.f64 b a) (-.f64 a b))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (.f64 (+.f64 b (*.f64 -1 b)) a)))
(fma.f64 -1 (.f64 b b) (+.f64 (.f64 (.f64 0 b) a) (.f64 a a)))
(-.f64 (fma.f64 a a 0) (*.f64 b b))
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 (+.f64 b a) (-.f64 a b))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (pow.f64 a 2) (.f64 (+.f64 b (.f64 -1 b)) a))
(*.f64 a a)
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (.f64 (+.f64 b (*.f64 -1 b)) a)))
(fma.f64 -1 (.f64 b b) (+.f64 (.f64 (.f64 0 b) a) (.f64 a a)))
(-.f64 (fma.f64 a a 0) (*.f64 b b))
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 (+.f64 b a) (-.f64 a b))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (.f64 (+.f64 b (*.f64 -1 b)) a)))
(fma.f64 -1 (.f64 b b) (+.f64 (.f64 (.f64 0 b) a) (.f64 a a)))
(-.f64 (fma.f64 a a 0) (*.f64 b b))
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 (+.f64 b a) (-.f64 a b))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (pow.f64 a 2) (.f64 (+.f64 a (.f64 -1 a)) b))
(*.f64 a a)
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (.f64 (+.f64 a (*.f64 -1 a)) b)))
(fma.f64 -1 (.f64 b b) (+.f64 (.f64 (.f64 0 b) a) (.f64 a a)))
(-.f64 (fma.f64 a a 0) (*.f64 b b))
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 (+.f64 b a) (-.f64 a b))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (.f64 (+.f64 a (*.f64 -1 a)) b)))
(fma.f64 -1 (.f64 b b) (+.f64 (.f64 (.f64 0 b) a) (.f64 a a)))
(-.f64 (fma.f64 a a 0) (*.f64 b b))
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 (+.f64 b a) (-.f64 a b))
(*.f64 -1 (pow.f64 b 2))
(neg.f64 (*.f64 b b))
(*.f64 b (neg.f64 b))
(+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 (+.f64 a (*.f64 -1 a)) b))
(neg.f64 (*.f64 b 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)))
(fma.f64 -1 (.f64 b b) (+.f64 (.f64 (.f64 0 b) a) (.f64 a a)))
(-.f64 (fma.f64 a a 0) (*.f64 b b))
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 (+.f64 b a) (-.f64 a b))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (.f64 (+.f64 a (*.f64 -1 a)) b)))
(fma.f64 -1 (.f64 b b) (+.f64 (.f64 (.f64 0 b) a) (.f64 a a)))
(-.f64 (fma.f64 a a 0) (*.f64 b b))
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 (+.f64 b a) (-.f64 a b))
(*.f64 -1 (pow.f64 b 2))
(neg.f64 (*.f64 b b))
(*.f64 b (neg.f64 b))
(+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 -1 (.f64 (+.f64 a (.f64 -1 a)) b)))
(neg.f64 (*.f64 b 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)))
(fma.f64 -1 (.f64 b b) (+.f64 (.f64 (.f64 0 b) a) (.f64 a a)))
(-.f64 (fma.f64 a a 0) (*.f64 b b))
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 (+.f64 b a) (-.f64 a b))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (.f64 -1 (.f64 (+.f64 a (.f64 -1 a)) b)) (pow.f64 a 2)))
(fma.f64 -1 (.f64 b b) (+.f64 (.f64 (.f64 0 b) a) (.f64 a a)))
(-.f64 (fma.f64 a a 0) (*.f64 b b))
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 (+.f64 b a) (-.f64 a b))

localize13.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (+.f64 a b) (-.f64 a b) (fma.f64 (neg.f64 b) b (*.f64 b b)))
✓	41.3b	(fma.f64 (neg.f64 b) b (*.f64 b b))

Compiler

Compiled 36 to 8 computations (77.8% saved)

series6.0ms (0.3%)

Counts

2 → 36

Calls

9 calls:

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

rewrite59.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

806×	`pow1_binary64`
749×	`add-log-exp_binary64`
748×	`log1p-expm1-u_binary64`
748×	`expm1-log1p-u_binary64`
732×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	198	14
2	2953	14

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

Inputs
(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

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

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

simplify68.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

841×	`fma-neg_binary64`
567×	`difference-of-squares_binary64`
453×	`fma-def_binary64`
411×	`unsub-neg_binary64`
371×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	384
1	102	204
2	405	192
3	585	192
4	1162	192
5	2749	192
6	6681	192

Stop Event

1×	node limit

Counts

104 → 85

Calls

Call 1

Inputs
0
0
0
0
0
0
0
0
0
0
0
0
(+.f64 (pow.f64 b 2) (*.f64 -2 (pow.f64 b 2)))
(+.f64 (pow.f64 b 2) (+.f64 (.f64 -2 (pow.f64 b 2)) (.f64 (+.f64 b (*.f64 -1 b)) a)))
(+.f64 (pow.f64 b 2) (+.f64 (pow.f64 a 2) (+.f64 (.f64 -2 (pow.f64 b 2)) (.f64 (+.f64 b (*.f64 -1 b)) a))))
(+.f64 (pow.f64 b 2) (+.f64 (pow.f64 a 2) (+.f64 (.f64 -2 (pow.f64 b 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 (pow.f64 b 2) (+.f64 (pow.f64 a 2) (+.f64 (.f64 -2 (pow.f64 b 2)) (.f64 (+.f64 b (*.f64 -1 b)) a))))
(+.f64 (pow.f64 b 2) (+.f64 (pow.f64 a 2) (+.f64 (.f64 -2 (pow.f64 b 2)) (.f64 (+.f64 b (*.f64 -1 b)) a))))
(pow.f64 a 2)
(+.f64 (.f64 -1 (.f64 (+.f64 b (*.f64 -1 b)) a)) (pow.f64 a 2))
(+.f64 (.f64 -1 (.f64 (+.f64 b (.f64 -1 b)) a)) (+.f64 (pow.f64 b 2) (+.f64 (pow.f64 a 2) (.f64 -2 (pow.f64 b 2)))))
(+.f64 (.f64 -1 (.f64 (+.f64 b (.f64 -1 b)) a)) (+.f64 (pow.f64 b 2) (+.f64 (pow.f64 a 2) (.f64 -2 (pow.f64 b 2)))))
(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)))

Outputs
0
0
0
0
0
0
0
0
0
0
0
0
(+.f64 (pow.f64 b 2) (*.f64 -2 (pow.f64 b 2)))
(neg.f64 (*.f64 b b))
(*.f64 b (neg.f64 b))
(+.f64 (pow.f64 b 2) (+.f64 (.f64 -2 (pow.f64 b 2)) (.f64 (+.f64 b (*.f64 -1 b)) a)))
(neg.f64 (*.f64 b b))
(*.f64 b (neg.f64 b))
(+.f64 (pow.f64 b 2) (+.f64 (pow.f64 a 2) (+.f64 (.f64 -2 (pow.f64 b 2)) (.f64 (+.f64 b (*.f64 -1 b)) a))))
(+.f64 (+.f64 (.f64 b b) (.f64 a a)) (fma.f64 -2 (.f64 b b) (.f64 (*.f64 0 b) a)))
(-.f64 (fma.f64 a a 0) (*.f64 b b))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 b (neg.f64 b) (*.f64 a a))
(+.f64 (pow.f64 b 2) (+.f64 (pow.f64 a 2) (+.f64 (.f64 -2 (pow.f64 b 2)) (.f64 (+.f64 b (*.f64 -1 b)) a))))
(+.f64 (+.f64 (.f64 b b) (.f64 a a)) (fma.f64 -2 (.f64 b b) (.f64 (*.f64 0 b) a)))
(-.f64 (fma.f64 a a 0) (*.f64 b b))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 b (neg.f64 b) (*.f64 a a))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (pow.f64 a 2) (.f64 (+.f64 b (.f64 -1 b)) a))
(*.f64 a a)
(+.f64 (pow.f64 b 2) (+.f64 (pow.f64 a 2) (+.f64 (.f64 -2 (pow.f64 b 2)) (.f64 (+.f64 b (*.f64 -1 b)) a))))
(+.f64 (+.f64 (.f64 b b) (.f64 a a)) (fma.f64 -2 (.f64 b b) (.f64 (*.f64 0 b) a)))
(-.f64 (fma.f64 a a 0) (*.f64 b b))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 b (neg.f64 b) (*.f64 a a))
(+.f64 (pow.f64 b 2) (+.f64 (pow.f64 a 2) (+.f64 (.f64 -2 (pow.f64 b 2)) (.f64 (+.f64 b (*.f64 -1 b)) a))))
(+.f64 (+.f64 (.f64 b b) (.f64 a a)) (fma.f64 -2 (.f64 b b) (.f64 (*.f64 0 b) a)))
(-.f64 (fma.f64 a a 0) (*.f64 b b))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 b (neg.f64 b) (*.f64 a a))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (.f64 -1 (.f64 (+.f64 b (*.f64 -1 b)) a)) (pow.f64 a 2))
(*.f64 a a)
(+.f64 (.f64 -1 (.f64 (+.f64 b (.f64 -1 b)) a)) (+.f64 (pow.f64 b 2) (+.f64 (pow.f64 a 2) (.f64 -2 (pow.f64 b 2)))))
(+.f64 (+.f64 (.f64 b b) (.f64 a a)) (fma.f64 -2 (.f64 b b) (.f64 (*.f64 0 b) a)))
(-.f64 (fma.f64 a a 0) (*.f64 b b))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 b (neg.f64 b) (*.f64 a a))
(+.f64 (.f64 -1 (.f64 (+.f64 b (.f64 -1 b)) a)) (+.f64 (pow.f64 b 2) (+.f64 (pow.f64 a 2) (.f64 -2 (pow.f64 b 2)))))
(+.f64 (+.f64 (.f64 b b) (.f64 a a)) (fma.f64 -2 (.f64 b b) (.f64 (*.f64 0 b) a)))
(-.f64 (fma.f64 a a 0) (*.f64 b b))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 b (neg.f64 b) (*.f64 a a))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (pow.f64 a 2) (.f64 (+.f64 a (.f64 -1 a)) b))
(*.f64 a a)
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (.f64 (+.f64 a (*.f64 -1 a)) b)))
(+.f64 (+.f64 (.f64 b b) (.f64 a a)) (fma.f64 -2 (.f64 b b) (.f64 (*.f64 0 b) a)))
(-.f64 (fma.f64 a a 0) (*.f64 b b))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 b (neg.f64 b) (*.f64 a a))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (.f64 (+.f64 a (*.f64 -1 a)) b)))
(+.f64 (+.f64 (.f64 b b) (.f64 a a)) (fma.f64 -2 (.f64 b b) (.f64 (*.f64 0 b) a)))
(-.f64 (fma.f64 a a 0) (*.f64 b b))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 b (neg.f64 b) (*.f64 a a))
(*.f64 -1 (pow.f64 b 2))
(neg.f64 (*.f64 b b))
(*.f64 b (neg.f64 b))
(+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 (+.f64 a (*.f64 -1 a)) b))
(neg.f64 (*.f64 b 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 b b) (.f64 a a)) (fma.f64 -2 (.f64 b b) (.f64 (*.f64 0 b) a)))
(-.f64 (fma.f64 a a 0) (*.f64 b b))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 b (neg.f64 b) (*.f64 a a))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (.f64 (+.f64 a (*.f64 -1 a)) b)))
(+.f64 (+.f64 (.f64 b b) (.f64 a a)) (fma.f64 -2 (.f64 b b) (.f64 (*.f64 0 b) a)))
(-.f64 (fma.f64 a a 0) (*.f64 b b))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 b (neg.f64 b) (*.f64 a a))
(*.f64 -1 (pow.f64 b 2))
(neg.f64 (*.f64 b b))
(*.f64 b (neg.f64 b))
(+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 -1 (.f64 (+.f64 a (.f64 -1 a)) b)))
(neg.f64 (*.f64 b 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 b b) (.f64 a a)) (fma.f64 -2 (.f64 b b) (.f64 (*.f64 0 b) a)))
(-.f64 (fma.f64 a a 0) (*.f64 b b))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 b (neg.f64 b) (*.f64 a a))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (.f64 -1 (.f64 (+.f64 a (.f64 -1 a)) b)) (pow.f64 a 2)))
(+.f64 (+.f64 (.f64 b b) (.f64 a a)) (fma.f64 -2 (.f64 b b) (.f64 (*.f64 0 b) a)))
(-.f64 (fma.f64 a a 0) (*.f64 b b))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 b (neg.f64 b) (*.f64 a a))

eval38.0ms (1.8%)

Compiler: Compiled 2118 to 800 computations (62.2% saved)

prune19.0ms (0.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	141	1	142
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	142	4	146

Error

Counts

146 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(*.f64 (-.f64 a b) (+.f64 a b))
✓	28.8b	(*.f64 a a)
✓	27.6b	(*.f64 b (neg.f64 b))
▶	0.0b	(+.f64 (.f64 b (-.f64 a b)) (.f64 a (-.f64 a b)))

Compiler

Compiled 33 to 18 computations (45.5% saved)

localize10.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 28 to 6 computations (78.6% saved)

series8.0ms (0.4%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	a	@	-inf	(*.f64 b (-.f64 a b))
1.0ms	a	@	0	(*.f64 a (-.f64 a b))
0.0ms	b	@	-inf	(*.f64 b (-.f64 a b))
0.0ms	a	@	inf	(*.f64 a (-.f64 a b))
0.0ms	a	@	inf	(+.f64 (.f64 b (-.f64 a b)) (.f64 a (-.f64 a b)))

rewrite71.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

995×	`pow1_binary64`
928×	`add-log-exp_binary64`
928×	`log1p-expm1-u_binary64`
928×	`expm1-log1p-u_binary64`
89×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
1	163	24
2	2565	24

Stop Event

1×	node limit

Counts

3 → 84

Calls

Call 1

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

Outputs

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

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

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

simplify87.0ms (4%)

Algorithm

1×	egg-herbie

Rules

594×	`unswap-sqr_binary64`
490×	`associate-r_binary64`
454×	`fma-def_binary64`
384×	`distribute-rgt-in_binary64`
372×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	772
1	99	606
2	276	498
3	406	498
4	1053	498
5	3751	498
6	7868	498

Stop Event

1×	node limit

Counts

156 → 106

Calls

Call 1

Inputs
(.f64 -1 (.f64 a b))
(+.f64 (pow.f64 a 2) (.f64 -1 (.f64 a b)))
(+.f64 (pow.f64 a 2) (.f64 -1 (.f64 a b)))
(+.f64 (pow.f64 a 2) (.f64 -1 (.f64 a b)))
(pow.f64 a 2)
(+.f64 (pow.f64 a 2) (.f64 -1 (.f64 a b)))
(+.f64 (pow.f64 a 2) (.f64 -1 (.f64 a b)))
(+.f64 (pow.f64 a 2) (.f64 -1 (.f64 a b)))
(pow.f64 a 2)
(+.f64 (pow.f64 a 2) (.f64 -1 (.f64 a b)))
(+.f64 (pow.f64 a 2) (.f64 -1 (.f64 a b)))
(+.f64 (pow.f64 a 2) (.f64 -1 (.f64 a b)))
(pow.f64 a 2)
(+.f64 (pow.f64 a 2) (.f64 -1 (.f64 a b)))
(+.f64 (pow.f64 a 2) (.f64 -1 (.f64 a b)))
(+.f64 (pow.f64 a 2) (.f64 -1 (.f64 a b)))
(.f64 -1 (.f64 a b))
(+.f64 (pow.f64 a 2) (.f64 -1 (.f64 a b)))
(+.f64 (pow.f64 a 2) (.f64 -1 (.f64 a b)))
(+.f64 (pow.f64 a 2) (.f64 -1 (.f64 a b)))
(.f64 -1 (.f64 a b))
(+.f64 (pow.f64 a 2) (.f64 -1 (.f64 a b)))
(+.f64 (pow.f64 a 2) (.f64 -1 (.f64 a b)))
(+.f64 (pow.f64 a 2) (.f64 -1 (.f64 a b)))
(*.f64 a b)
(+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 a b))
(+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 a b))
(+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 a b))
(*.f64 -1 (pow.f64 b 2))
(+.f64 (.f64 a b) (.f64 -1 (pow.f64 b 2)))
(+.f64 (.f64 a b) (.f64 -1 (pow.f64 b 2)))
(+.f64 (.f64 a b) (.f64 -1 (pow.f64 b 2)))
(*.f64 -1 (pow.f64 b 2))
(+.f64 (.f64 a b) (.f64 -1 (pow.f64 b 2)))
(+.f64 (.f64 a b) (.f64 -1 (pow.f64 b 2)))
(+.f64 (.f64 a b) (.f64 -1 (pow.f64 b 2)))
(*.f64 -1 (pow.f64 b 2))
(+.f64 (.f64 a b) (.f64 -1 (pow.f64 b 2)))
(+.f64 (.f64 a b) (.f64 -1 (pow.f64 b 2)))
(+.f64 (.f64 a b) (.f64 -1 (pow.f64 b 2)))
(*.f64 a b)
(+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 a b))
(+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 a b))
(+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 a b))
(*.f64 a b)
(+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 a b))
(+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 a b))
(+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 a b))
(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 -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 (*.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 (.f64 (+.f64 b (*.f64 -1 b)) a)) (pow.f64 a 2))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (.f64 -1 (.f64 (+.f64 b (.f64 -1 b)) a)) (pow.f64 a 2)))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (.f64 -1 (.f64 (+.f64 b (.f64 -1 b)) a)) (pow.f64 a 2)))

Outputs
(.f64 -1 (.f64 a b))
(*.f64 (neg.f64 a) b)
(*.f64 a (neg.f64 b))
(*.f64 b (neg.f64 a))
(+.f64 (pow.f64 a 2) (.f64 -1 (.f64 a b)))
(+.f64 (.f64 (neg.f64 a) b) (.f64 a a))
(-.f64 (.f64 a a) (.f64 a b))
(*.f64 a (-.f64 a b))
(+.f64 (pow.f64 a 2) (.f64 -1 (.f64 a b)))
(+.f64 (.f64 (neg.f64 a) b) (.f64 a a))
(-.f64 (.f64 a a) (.f64 a b))
(*.f64 a (-.f64 a b))
(+.f64 (pow.f64 a 2) (.f64 -1 (.f64 a b)))
(+.f64 (.f64 (neg.f64 a) b) (.f64 a a))
(-.f64 (.f64 a a) (.f64 a b))
(*.f64 a (-.f64 a b))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (pow.f64 a 2) (.f64 -1 (.f64 a b)))
(+.f64 (.f64 (neg.f64 a) b) (.f64 a a))
(-.f64 (.f64 a a) (.f64 a b))
(*.f64 a (-.f64 a b))
(+.f64 (pow.f64 a 2) (.f64 -1 (.f64 a b)))
(+.f64 (.f64 (neg.f64 a) b) (.f64 a a))
(-.f64 (.f64 a a) (.f64 a b))
(*.f64 a (-.f64 a b))
(+.f64 (pow.f64 a 2) (.f64 -1 (.f64 a b)))
(+.f64 (.f64 (neg.f64 a) b) (.f64 a a))
(-.f64 (.f64 a a) (.f64 a b))
(*.f64 a (-.f64 a b))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (pow.f64 a 2) (.f64 -1 (.f64 a b)))
(+.f64 (.f64 (neg.f64 a) b) (.f64 a a))
(-.f64 (.f64 a a) (.f64 a b))
(*.f64 a (-.f64 a b))
(+.f64 (pow.f64 a 2) (.f64 -1 (.f64 a b)))
(+.f64 (.f64 (neg.f64 a) b) (.f64 a a))
(-.f64 (.f64 a a) (.f64 a b))
(*.f64 a (-.f64 a b))
(+.f64 (pow.f64 a 2) (.f64 -1 (.f64 a b)))
(+.f64 (.f64 (neg.f64 a) b) (.f64 a a))
(-.f64 (.f64 a a) (.f64 a b))
(*.f64 a (-.f64 a b))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (pow.f64 a 2) (.f64 -1 (.f64 a b)))
(+.f64 (.f64 (neg.f64 a) b) (.f64 a a))
(-.f64 (.f64 a a) (.f64 a b))
(*.f64 a (-.f64 a b))
(+.f64 (pow.f64 a 2) (.f64 -1 (.f64 a b)))
(+.f64 (.f64 (neg.f64 a) b) (.f64 a a))
(-.f64 (.f64 a a) (.f64 a b))
(*.f64 a (-.f64 a b))
(+.f64 (pow.f64 a 2) (.f64 -1 (.f64 a b)))
(+.f64 (.f64 (neg.f64 a) b) (.f64 a a))
(-.f64 (.f64 a a) (.f64 a b))
(*.f64 a (-.f64 a b))
(.f64 -1 (.f64 a b))
(*.f64 (neg.f64 a) b)
(*.f64 a (neg.f64 b))
(*.f64 b (neg.f64 a))
(+.f64 (pow.f64 a 2) (.f64 -1 (.f64 a b)))
(+.f64 (.f64 (neg.f64 a) b) (.f64 a a))
(-.f64 (.f64 a a) (.f64 a b))
(*.f64 a (-.f64 a b))
(+.f64 (pow.f64 a 2) (.f64 -1 (.f64 a b)))
(+.f64 (.f64 (neg.f64 a) b) (.f64 a a))
(-.f64 (.f64 a a) (.f64 a b))
(*.f64 a (-.f64 a b))
(+.f64 (pow.f64 a 2) (.f64 -1 (.f64 a b)))
(+.f64 (.f64 (neg.f64 a) b) (.f64 a a))
(-.f64 (.f64 a a) (.f64 a b))
(*.f64 a (-.f64 a b))
(.f64 -1 (.f64 a b))
(*.f64 (neg.f64 a) b)
(*.f64 a (neg.f64 b))
(*.f64 b (neg.f64 a))
(+.f64 (pow.f64 a 2) (.f64 -1 (.f64 a b)))
(+.f64 (.f64 (neg.f64 a) b) (.f64 a a))
(-.f64 (.f64 a a) (.f64 a b))
(*.f64 a (-.f64 a b))
(+.f64 (pow.f64 a 2) (.f64 -1 (.f64 a b)))
(+.f64 (.f64 (neg.f64 a) b) (.f64 a a))
(-.f64 (.f64 a a) (.f64 a b))
(*.f64 a (-.f64 a b))
(+.f64 (pow.f64 a 2) (.f64 -1 (.f64 a b)))
(+.f64 (.f64 (neg.f64 a) b) (.f64 a a))
(-.f64 (.f64 a a) (.f64 a b))
(*.f64 a (-.f64 a b))
(*.f64 a b)
(+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 a b))
(fma.f64 a b (neg.f64 (*.f64 b b)))
(-.f64 (.f64 a b) (.f64 b b))
(*.f64 b (-.f64 a b))
(+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 a b))
(fma.f64 a b (neg.f64 (*.f64 b b)))
(-.f64 (.f64 a b) (.f64 b b))
(*.f64 b (-.f64 a b))
(+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 a b))
(fma.f64 a b (neg.f64 (*.f64 b b)))
(-.f64 (.f64 a b) (.f64 b b))
(*.f64 b (-.f64 a b))
(*.f64 -1 (pow.f64 b 2))
(neg.f64 (*.f64 b b))
(*.f64 b (neg.f64 b))
(+.f64 (.f64 a b) (.f64 -1 (pow.f64 b 2)))
(fma.f64 a b (neg.f64 (*.f64 b b)))
(-.f64 (.f64 a b) (.f64 b b))
(*.f64 b (-.f64 a b))
(+.f64 (.f64 a b) (.f64 -1 (pow.f64 b 2)))
(fma.f64 a b (neg.f64 (*.f64 b b)))
(-.f64 (.f64 a b) (.f64 b b))
(*.f64 b (-.f64 a b))
(+.f64 (.f64 a b) (.f64 -1 (pow.f64 b 2)))
(fma.f64 a b (neg.f64 (*.f64 b b)))
(-.f64 (.f64 a b) (.f64 b b))
(*.f64 b (-.f64 a b))
(*.f64 -1 (pow.f64 b 2))
(neg.f64 (*.f64 b b))
(*.f64 b (neg.f64 b))
(+.f64 (.f64 a b) (.f64 -1 (pow.f64 b 2)))
(fma.f64 a b (neg.f64 (*.f64 b b)))
(-.f64 (.f64 a b) (.f64 b b))
(*.f64 b (-.f64 a b))
(+.f64 (.f64 a b) (.f64 -1 (pow.f64 b 2)))
(fma.f64 a b (neg.f64 (*.f64 b b)))
(-.f64 (.f64 a b) (.f64 b b))
(*.f64 b (-.f64 a b))
(+.f64 (.f64 a b) (.f64 -1 (pow.f64 b 2)))
(fma.f64 a b (neg.f64 (*.f64 b b)))
(-.f64 (.f64 a b) (.f64 b b))
(*.f64 b (-.f64 a b))
(*.f64 -1 (pow.f64 b 2))
(neg.f64 (*.f64 b b))
(*.f64 b (neg.f64 b))
(+.f64 (.f64 a b) (.f64 -1 (pow.f64 b 2)))
(fma.f64 a b (neg.f64 (*.f64 b b)))
(-.f64 (.f64 a b) (.f64 b b))
(*.f64 b (-.f64 a b))
(+.f64 (.f64 a b) (.f64 -1 (pow.f64 b 2)))
(fma.f64 a b (neg.f64 (*.f64 b b)))
(-.f64 (.f64 a b) (.f64 b b))
(*.f64 b (-.f64 a b))
(+.f64 (.f64 a b) (.f64 -1 (pow.f64 b 2)))
(fma.f64 a b (neg.f64 (*.f64 b b)))
(-.f64 (.f64 a b) (.f64 b b))
(*.f64 b (-.f64 a b))
(*.f64 a b)
(+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 a b))
(fma.f64 a b (neg.f64 (*.f64 b b)))
(-.f64 (.f64 a b) (.f64 b b))
(*.f64 b (-.f64 a b))
(+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 a b))
(fma.f64 a b (neg.f64 (*.f64 b b)))
(-.f64 (.f64 a b) (.f64 b b))
(*.f64 b (-.f64 a b))
(+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 a b))
(fma.f64 a b (neg.f64 (*.f64 b b)))
(-.f64 (.f64 a b) (.f64 b b))
(*.f64 b (-.f64 a b))
(*.f64 a b)
(+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 a b))
(fma.f64 a b (neg.f64 (*.f64 b b)))
(-.f64 (.f64 a b) (.f64 b b))
(*.f64 b (-.f64 a b))
(+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 a b))
(fma.f64 a b (neg.f64 (*.f64 b b)))
(-.f64 (.f64 a b) (.f64 b b))
(*.f64 b (-.f64 a b))
(+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 a b))
(fma.f64 a b (neg.f64 (*.f64 b b)))
(-.f64 (.f64 a b) (.f64 b b))
(*.f64 b (-.f64 a b))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (pow.f64 a 2) (.f64 (+.f64 a (.f64 -1 a)) b))
(*.f64 a a)
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (.f64 (+.f64 a (*.f64 -1 a)) b)))
(+.f64 (fma.f64 -1 (.f64 b b) (.f64 a a)) (.f64 b (.f64 0 a)))
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 (+.f64 a b) (-.f64 a b))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (.f64 (+.f64 a (*.f64 -1 a)) b)))
(+.f64 (fma.f64 -1 (.f64 b b) (.f64 a a)) (.f64 b (.f64 0 a)))
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 (+.f64 a b) (-.f64 a b))
(*.f64 -1 (pow.f64 b 2))
(neg.f64 (*.f64 b b))
(*.f64 b (neg.f64 b))
(+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 (+.f64 a (*.f64 -1 a)) b))
(neg.f64 (*.f64 b 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 (fma.f64 -1 (.f64 b b) (.f64 a a)) (.f64 b (.f64 0 a)))
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 (+.f64 a b) (-.f64 a b))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (.f64 (+.f64 a (*.f64 -1 a)) b)))
(+.f64 (fma.f64 -1 (.f64 b b) (.f64 a a)) (.f64 b (.f64 0 a)))
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 (+.f64 a b) (-.f64 a b))
(*.f64 -1 (pow.f64 b 2))
(neg.f64 (*.f64 b b))
(*.f64 b (neg.f64 b))
(+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 -1 (.f64 (+.f64 a (.f64 -1 a)) b)))
(neg.f64 (*.f64 b 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 (fma.f64 -1 (.f64 b b) (.f64 a a)) (.f64 b (.f64 0 a)))
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 (+.f64 a b) (-.f64 a b))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (.f64 -1 (.f64 (+.f64 a (.f64 -1 a)) b)) (pow.f64 a 2)))
(+.f64 (fma.f64 -1 (.f64 b b) (.f64 a a)) (.f64 b (.f64 0 a)))
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 (+.f64 a b) (-.f64 a b))
(*.f64 -1 (pow.f64 b 2))
(neg.f64 (*.f64 b b))
(*.f64 b (neg.f64 b))
(+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 (+.f64 b (*.f64 -1 b)) a))
(neg.f64 (*.f64 b b))
(*.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 (fma.f64 -1 (.f64 b b) (.f64 a a)) (.f64 b (.f64 0 a)))
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 (+.f64 a b) (-.f64 a b))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (.f64 (+.f64 b (*.f64 -1 b)) a)))
(+.f64 (fma.f64 -1 (.f64 b b) (.f64 a a)) (.f64 b (.f64 0 a)))
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 (+.f64 a b) (-.f64 a b))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (fma.f64 -1 (.f64 b b) (.f64 a a)) (.f64 b (.f64 0 a)))
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 (+.f64 a b) (-.f64 a b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (fma.f64 -1 (.f64 b b) (.f64 a a)) (.f64 b (.f64 0 a)))
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 (+.f64 a b) (-.f64 a b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (fma.f64 -1 (.f64 b b) (.f64 a a)) (.f64 b (.f64 0 a)))
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 (+.f64 a b) (-.f64 a b))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (.f64 -1 (.f64 (+.f64 b (*.f64 -1 b)) a)) (pow.f64 a 2))
(*.f64 a a)
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (.f64 -1 (.f64 (+.f64 b (.f64 -1 b)) a)) (pow.f64 a 2)))
(+.f64 (fma.f64 -1 (.f64 b b) (.f64 a a)) (.f64 b (.f64 0 a)))
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 (+.f64 a b) (-.f64 a b))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (.f64 -1 (.f64 (+.f64 b (.f64 -1 b)) a)) (pow.f64 a 2)))
(+.f64 (fma.f64 -1 (.f64 b b) (.f64 a a)) (.f64 b (.f64 0 a)))
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 (+.f64 a b) (-.f64 a b))

eval28.0ms (1.3%)

Compiler: Compiled 1693 to 496 computations (70.7% saved)

prune27.0ms (1.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	106	4	110

Error

Counts

110 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(*.f64 (-.f64 a b) (+.f64 a b))
✓	28.8b	(*.f64 a a)
✓	27.6b	(*.f64 b (neg.f64 b))
✓	0.0b	(+.f64 (.f64 b (-.f64 a b)) (.f64 a (-.f64 a b)))

Compiler

Compiled 33 to 18 computations (45.5% saved)

regimes65.0ms (3%)

Counts

6 → 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))
(+.f64 (.f64 b (-.f64 a b)) (.f64 a (-.f64 a b)))
(fma.f64 (+.f64 a b) (-.f64 a b) (fma.f64 (neg.f64 b) b (*.f64 b b)))

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

Calls

7 calls:

11.0ms	a
10.0ms	b
10.0ms	(-.f64 (.f64 a a) (.f64 b b))
9.0ms	(*.f64 b b)
7.0ms	(*.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 a a)`
0.0b	1	`(*.f64 b b)`
0.0b	1	`(*.f64 b b)`

Compiler

Compiled 83 to 36 computations (56.6% saved)

regimes79.0ms (3.6%)

Accuracy

Total -48.0b remaining (-656.7%)

Threshold costs -48.0b (-656.7%)

Counts

2 → 7

Calls

Call 1

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

Outputs
(*.f64 a a)
(*.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:

38.0ms	b
21.0ms	a
18.0ms	(*.f64 a a)

Results

Error	Segments	Branch
7.3b	7	`a`
11.0b	5	`b`
8.9b	4	`(*.f64 a a)`

Compiler

Compiled 20 to 12 computations (40% saved)

bsearch93.0ms (4.3%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
15.0ms	2.750773054450256e+20	3.4815279712742246e+21
16.0ms	1.8182797219656897e-17	1.7340035137776547e-16
15.0ms	1.4545134939914696e-46	2.1213998457649413e-43
15.0ms	-2.7205698542016622e-90	-4.296766235824699e-102
16.0ms	-1.211790202385206e-55	-1.100006324835641e-56
15.0ms	-4.18143352514134e-12	-2.999971457011718e-18

Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
4×	`*-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	28	84
1	38	84
2	43	84
3	46	84
4	47	84

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

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

(if (<=.f64 a -331287294872491328/79228162514264337593543950336) (*.f64 a a) (if (<=.f64 a -6690774881910955/55213970774324510299478046898216203619608871777363092441300193790394368) (*.f64 b (neg.f64 b)) (if (<=.f64 a -24958492781263292/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (*.f64 a a) (if (<=.f64 a 7479401822025481/51422017416287688817342786954917203280710495801049370729644032) (*.f64 b (neg.f64 b)) (if (<=.f64 a 5900655055187519/324518553658426726783156020576256) (*.f64 a a) (if (<=.f64 a 36054932579290396986703872/131072) (*.f64 b (neg.f64 b)) (*.f64 a a)))))))

(*.f64 a a)

Outputs
(*.f64 (-.f64 a b) (+.f64 a b))
(if (<=.f64 a -331287294872491328/79228162514264337593543950336) (.f64 a a) (if (<=.f64 a -6690774881910955/55213970774324510299478046898216203619608871777363092441300193790394368) (.f64 b (neg.f64 b)) (if (<=.f64 a -24958492781263292/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (.f64 a a) (if (<=.f64 a 7479401822025481/51422017416287688817342786954917203280710495801049370729644032) (.f64 b (neg.f64 b)) (if (<=.f64 a 5900655055187519/324518553658426726783156020576256) (.f64 a a) (if (<=.f64 a 36054932579290396986703872/131072) (.f64 b (neg.f64 b)) (*.f64 a a)))))))
(if (<=.f64 a -5176363982382677/1237940039285380274899124224) (.f64 a a) (if (<=.f64 a -6690774881910955/55213970774324510299478046898216203619608871777363092441300193790394368) (.f64 b (neg.f64 b)) (if (<=.f64 a -6239623195315823/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624) (.f64 a a) (if (<=.f64 a 7479401822025481/51422017416287688817342786954917203280710495801049370729644032) (.f64 b (neg.f64 b)) (if (<=.f64 a 5900655055187519/324518553658426726783156020576256) (.f64 a a) (if (<=.f64 a 275077305445025611776) (.f64 b (neg.f64 b)) (*.f64 a a)))))))
(*.f64 a a)

Compiler

Compiled 64 to 31 computations (51.6% saved)

soundness0.0ms (0%)

end31.0ms (1.4%)

Compiler: Compiled 60 to 26 computations (56.7% saved)

Details

analyze97.0ms (4.5%)

sample802.0ms (37%)

preprocess148.0ms (6.8%)

simplify127.0ms (5.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.3%)

series3.0ms (0.1%)

rewrite54.0ms (2.5%)

simplify54.0ms (2.5%)

eval13.0ms (0.6%)

prune8.0ms (0.4%)

localize3.0ms (0.1%)

localize4.0ms (0.2%)

localize6.0ms (0.3%)

series3.0ms (0.1%)

rewrite56.0ms (2.6%)

simplify72.0ms (3.3%)

localize13.0ms (0.6%)

series6.0ms (0.3%)

rewrite59.0ms (2.7%)

simplify68.0ms (3.1%)

eval38.0ms (1.8%)

prune19.0ms (0.9%)

localize10.0ms (0.4%)

series8.0ms (0.4%)

rewrite71.0ms (3.3%)

simplify87.0ms (4%)

eval28.0ms (1.3%)

prune27.0ms (1.3%)

regimes65.0ms (3%)

regimes79.0ms (3.6%)

bsearch93.0ms (4.3%)

simplify7.0ms (0.3%)

soundness0.0ms (0%)

end31.0ms (1.4%)

Profiling