Details

analyze0.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 24 to 15 computations (37.5% saved)

sample1.1s (20.9%)

Results

1.0s

8256×

body

256

valid

preprocess21.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

70×	`fma-def_binary64`
24×	`associate-+l+_binary64`
18×	`associate-+r+_binary64`
10×	`distribute-rgt-in_binary64`
8×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	23	20
2	41	20
3	77	20
4	120	20
5	150	20
6	170	20
7	187	20
8	189	20
0	2	2
1	2	2

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

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

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

Symmetry

(sort a b)

Compiler

Compiled 11 to 6 computations (45.5% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

70×	`fma-def_binary64`
25×	`associate-+l+_binary64`
17×	`associate-+r+_binary64`
10×	`distribute-rgt-in_binary64`
8×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	10
1	12	10
2	29	10
3	67	10
4	110	10
5	140	10
6	160	10
7	177	10
8	179	10

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval3.0ms (0.1%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(*.f64 (+.f64 a b) (+.f64 a b))

Compiler

Compiled 9 to 4 computations (55.6% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 4 computations (71.4% saved)

series5.0ms (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	b	@	inf	(*.f64 (+.f64 a b) (+.f64 a b))
1.0ms	b	@	-inf	(*.f64 (+.f64 a b) (+.f64 a b))
1.0ms	a	@	inf	(*.f64 (+.f64 a b) (+.f64 a b))
1.0ms	b	@	0	(*.f64 (+.f64 a b) (+.f64 a b))

rewrite90.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

659×	`pow1_binary64`
618×	`add-log-exp_binary64`
618×	`log1p-expm1-u_binary64`
618×	`expm1-log1p-u_binary64`
600×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	115	7
2	1758	7

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

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

simplify195.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

947×	`sqr-pow_binary64`
615×	`fma-def_binary64`
550×	`fabs-mul_binary64`
539×	`cube-prod_binary64`
373×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	294
1	32	267
2	69	222
3	151	216
4	418	216
5	1558	216
6	2835	216
7	3107	216
8	3293	216
9	3537	216
10	3838	216
11	4229	216
12	4738	216
13	5314	216
14	6058	216
15	6608	216
16	6942	216
17	7266	216
18	7352	216
19	7384	216

Stop Event

1×	node limit

Counts

50 → 36

Calls

Call 1

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

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

eval7.0ms (0.1%)

Compiler: Compiled 471 to 164 computations (65.2% saved)

prune9.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	32	4	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	5	37

Error

Counts

37 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(/.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))))
▶	0.1b	(*.f64 b (fma.f64 2 a b))
▶	0.0b	(+.f64 (.f64 b (+.f64 a b)) (.f64 a (+.f64 a b)))
✓	0.0b	(*.f64 (+.f64 a b) (+.f64 a b))
▶	0.9b	(*.f64 b b)

Compiler

Compiled 72 to 28 computations (61.1% saved)

localize5.0ms (0.1%)

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

localize13.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 b (fma.f64 2 a b))

Compiler

Compiled 15 to 8 computations (46.7% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite42.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

552×	`pow1_binary64`
531×	`add-sqr-sqrt_binary64`
507×	`add-log-exp_binary64`
507×	`log1p-expm1-u_binary64`
507×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	120	8
2	1364	8

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

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

Outputs

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

simplify160.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

778×	`sqr-pow_binary64`
582×	`fma-def_binary64`
555×	`fabs-mul_binary64`
555×	`cube-prod_binary64`
487×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	231
1	19	213
2	41	177
3	79	177
4	170	177
5	476	177
6	1590	177
7	2828	177
8	3175	177
9	3398	177
10	3620	177
11	3938	177
12	4358	177
13	4847	177
14	5421	177
15	6115	177
16	6969	177
17	7366	177
18	7656	177
19	7936	177

Stop Event

1×	node limit

Counts

37 → 19

Calls

Call 1

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

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

localize13.0ms (0.3%)

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)

series13.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

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

rewrite134.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

603×	`fma-def_binary64`
482×	`prod-exp_binary64`
428×	`log-prod_binary64`
398×	`pow-prod-down_binary64`
299×	`exp-prod_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	24
1	167	21
2	2625	21

Stop Event

1×	node limit

Counts

3 → 235

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 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a b) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a a) 1) (*.f64 (*.f64 a b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (+.f64 a b))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (+.f64 a b)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (+.f64 a b)))))))) (#(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 (pow.f64 a 6) (pow.f64 (*.f64 a b) 3)) (+.f64 (pow.f64 a 4) (-.f64 (pow.f64 (*.f64 a b) 2) (*.f64 (*.f64 a a) (*.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a 4) (pow.f64 (*.f64 a b) 2)) (-.f64 (*.f64 a a) (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) a) (fma.f64 b (-.f64 b a) (*.f64 a a)))))) (#(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 b (-.f64 b a) (*.f64 a a)))))) (#(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 (pow.f64 (*.f64 a (+.f64 a b)) 2) 1/2)))) (#(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 pow.f64 (exp.f64 1) (log.f64 (*.f64 a (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 a (+.f64 a b)))) 2)) (cbrt.f64 (log.f64 (*.f64 a (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 a (+.f64 a b))))) (sqrt.f64 (log.f64 (*.f64 a (+.f64 a b)))))))) (#(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 exp.f64 (*.f64 (log.f64 (*.f64 a (+.f64 a b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a (+.f64 a b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a (+.f64 a b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 a (+.f64 a b)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 a (+.f64 a b))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 a (+.f64 a b))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 a) 1) (log.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 a) (*.f64 (log.f64 (+.f64 a b)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 a) 1) (*.f64 (log.f64 (+.f64 a b)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 a b)) 1) (log.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (+.f64 a b)) (*.f64 (log.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 a b)) 1) (*.f64 (log.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a a (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a b (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b a (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a a) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a b) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a a) 1 (*.f64 (*.f64 a b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) a) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) a) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) b) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) a) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (pow.f64 a 3/2) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) b) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 a) a) (pow.f64 (cbrt.f64 a) 2) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3/2) (sqrt.f64 a) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) (cbrt.f64 (*.f64 a b)) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a b)) (sqrt.f64 (*.f64 a b)) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 5) (cbrt.f64 a) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (sqrt.f64 b)) (sqrt.f64 b) (*.f64 a a))))))

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b)) (*.f64 (log.f64 (+.f64 a b)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 a b)) 1) (*.f64 (log.f64 (+.f64 a b)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a a (fma.f64 a b (*.f64 b (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a b (fma.f64 b b (*.f64 a (+.f64 a 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 a (fma.f64 b b (*.f64 a (+.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 (*.f64 a (+.f64 a b)) 1 (*.f64 b (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (+.f64 a b)) 1 (*.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 1 (*.f64 a a) (fma.f64 a b (*.f64 b (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a b) (fma.f64 b b (*.f64 a (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 b (+.f64 a b))) (pow.f64 (cbrt.f64 (*.f64 b (+.f64 a b))) 2) (*.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 b) 2) (*.f64 (cbrt.f64 b) (+.f64 a b)) (*.f64 a (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) a) (fma.f64 b b (*.f64 a (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a (+.f64 a b))) (pow.f64 (cbrt.f64 (*.f64 a (+.f64 a b))) 2) (*.f64 b (+.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 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) a) (fma.f64 a b (*.f64 b (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (+.f64 a b)) (*.f64 b (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) b) (fma.f64 b b (*.f64 a (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) (*.f64 (cbrt.f64 (+.f64 a b)) a) (*.f64 b (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) (*.f64 (cbrt.f64 (+.f64 a b)) b) (*.f64 a (+.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 b) (*.f64 (sqrt.f64 b) (+.f64 a b)) (*.f64 a (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) a) (fma.f64 b 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)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (pow.f64 a 3/2) (fma.f64 a b (*.f64 b (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (+.f64 a b)) (*.f64 b (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) b) (fma.f64 b b (*.f64 a (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a b)) (*.f64 (sqrt.f64 (+.f64 a b)) a) (*.f64 b (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a b)) (*.f64 (sqrt.f64 (+.f64 a b)) b) (*.f64 a (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 a) a) (pow.f64 (cbrt.f64 a) 2) (fma.f64 a b (*.f64 b (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3/2) (sqrt.f64 a) (fma.f64 a b (*.f64 b (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) (cbrt.f64 (*.f64 a b)) (fma.f64 b b (*.f64 a (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a b)) (sqrt.f64 (*.f64 a b)) (fma.f64 b b (*.f64 a (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 5) (cbrt.f64 a) (fma.f64 a b (*.f64 b (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (pow.f64 (cbrt.f64 (+.f64 a b)) 2)) (cbrt.f64 (+.f64 a b)) (*.f64 b (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (sqrt.f64 (+.f64 a b))) (sqrt.f64 (+.f64 a b)) (*.f64 b (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 b (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a b) (sqrt.f64 a)) (sqrt.f64 a) (*.f64 b (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (pow.f64 (cbrt.f64 (+.f64 a b)) 2)) (cbrt.f64 (+.f64 a b)) (*.f64 a (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (sqrt.f64 (+.f64 a b))) (sqrt.f64 (+.f64 a b)) (*.f64 a (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a b) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (*.f64 a (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a b) (sqrt.f64 b)) (sqrt.f64 b) (*.f64 a (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (fma.f64 b b (*.f64 a (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (sqrt.f64 a)) (sqrt.f64 a) (fma.f64 b b (*.f64 a (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (fma.f64 b b (*.f64 a (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (sqrt.f64 b)) (sqrt.f64 b) (fma.f64 b b (*.f64 a (+.f64 a b))))))))

simplify237.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

1023×	`fma-def_binary64`
640×	`sqr-pow_binary64`
525×	`fabs-mul_binary64`
512×	`cube-prod_binary64`
420×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	630
1	38	567
2	87	522
3	183	516
4	500	516
5	1783	516
6	3374	516
7	3790	516
8	3981	516
9	4233	516
10	4536	516
11	4935	516
12	5446	516
13	6024	516
14	6778	516
15	7330	516
16	7666	516
17	7988	516

Stop Event

1×	node limit

Counts

307 → 250

Calls

Call 1

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

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

localize37.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 a (+.f64 a b)) (.f64 b (+.f64 a b)))
✓	0.2b	(.f64 (.f64 a (+.f64 a b)) (*.f64 a (+.f64 a b)))
✓	0.5b	(.f64 (.f64 b (+.f64 a b)) (*.f64 b (+.f64 a b)))
✓	0.5b	(/.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))))

Compiler

Compiled 108 to 10 computations (90.7% saved)

series154.0ms (3.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
132.0ms	b	@	inf	(-.f64 (.f64 a (+.f64 a b)) (.f64 b (+.f64 a b)))
3.0ms	a	@	inf	(/.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))))
2.0ms	a	@	0	(/.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))))
1.0ms	b	@	inf	(/.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))))
1.0ms	b	@	0	(/.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))))

rewrite256.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

924×	`log-prod_binary64`
639×	`fma-neg_binary64`
245×	`expm1-udef_binary64`
245×	`log1p-udef_binary64`
219×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	64
1	292	37
2	5334	37

Stop Event

1×	node limit

Counts

4 → 270

Calls

Call 1

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

Outputs
((#(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 a) (+.f64 (.f64 a b) (.f64 b (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (+.f64 a b) (.f64 a a)) (-.f64 a b)) (neg.f64 (/.f64 (.f64 (+.f64 a b) (.f64 b b)) (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (+.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 a (+.f64 a b)) (.f64 a b)) (.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 a b) 2))) (cbrt.f64 (exp.f64 (pow.f64 (+.f64 a b) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 a b) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 a b) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 a b) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (+.f64 a b) (.f64 a a)) (-.f64 a b)) (/.f64 (.f64 (+.f64 a b) (.f64 b b)) (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 a b) 2))) 1)))) (#(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 a b) 3) (-.f64 a b)) (/.f64 1 (-.f64 (.f64 a a) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (+.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) 2) (pow.f64 (cbrt.f64 (+.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 a b) 3) (-.f64 a b))) 2) (.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 a b) 3) (-.f64 a b))) (/.f64 1 (-.f64 (.f64 a a) (.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) 2))))) (#(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 (pow.f64 (+.f64 a b) 3) (-.f64 a b))) (.f64 (sqrt.f64 (.f64 (pow.f64 (+.f64 a b) 3) (-.f64 a b))) (/.f64 1 (-.f64 (.f64 a a) (.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) (/.f64 (sqrt.f64 (.f64 (pow.f64 (+.f64 a b) 3) (-.f64 a b))) (-.f64 a 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 (neg.f64 (.f64 (pow.f64 (+.f64 a b) 3) (-.f64 a b))) (/.f64 1 (.f64 (+.f64 a b) (neg.f64 (-.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 (.f64 a a) (.f64 b b))) (.f64 (pow.f64 (+.f64 a b) 3) (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 a b) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 a b) 2) (.f64 (-.f64 (.f64 a a) (.f64 b b)) (/.f64 1 (-.f64 (.f64 a a) (.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 a b) (sqrt.f64 (+.f64 a b))) (sqrt.f64 (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 a b)) (pow.f64 (+.f64 a b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (.f64 a a) (.f64 b b))) 2)) (/.f64 (.f64 (pow.f64 (+.f64 a b) 3) (-.f64 a b)) (cbrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))) (/.f64 (.f64 (pow.f64 (+.f64 a b) 3) (-.f64 a b)) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (+.f64 a b) 2) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))) (/.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 (cbrt.f64 (.f64 (pow.f64 (+.f64 a b) 3) (-.f64 a b))) 2) (+.f64 a b)) (/.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 a b) 3) (-.f64 a b))) (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (+.f64 a b) 2) (+.f64 a b)) (+.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 a b) 3) (-.f64 a b))) 2) 1) (/.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 a b) 3) (-.f64 a b))) (-.f64 (.f64 a a) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 (pow.f64 (+.f64 a b) 3) (-.f64 a b))) 1) (/.f64 (sqrt.f64 (.f64 (pow.f64 (+.f64 a b) 3) (-.f64 a b))) (-.f64 (.f64 a a) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (+.f64 a b) 2) 1) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (-.f64 (.f64 a a) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 a b) 3) (-.f64 a b))) 2) (pow.f64 (cbrt.f64 (-.f64 (.f64 a a) (.f64 b b))) 2)) (pow.f64 (cbrt.f64 (+.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 (pow.f64 (+.f64 a b) 3) (-.f64 a b))) (pow.f64 (cbrt.f64 (-.f64 (.f64 a a) (.f64 b b))) 2)) (/.f64 (sqrt.f64 (.f64 (pow.f64 (+.f64 a b) 3) (-.f64 a b))) (cbrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (+.f64 a b) 2) (pow.f64 (cbrt.f64 (-.f64 (.f64 a a) (.f64 b b))) 2)) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (cbrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 a b) 3) (-.f64 a b))) 2) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))) (/.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 a b) 3) (-.f64 a b))) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (pow.f64 (+.f64 a b) 3) (-.f64 a b)) (.f64 (pow.f64 (+.f64 a b) 3) (-.f64 a b))) (pow.f64 (+.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (pow.f64 (+.f64 a b) 3) (-.f64 a b)) (-.f64 (pow.f64 (.f64 a (+.f64 a b)) 3) (pow.f64 (.f64 b (+.f64 a b)) 3))) (+.f64 (pow.f64 (.f64 a (+.f64 a b)) 2) (.f64 (.f64 b (+.f64 a b)) (pow.f64 (+.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 a b) (pow.f64 (cbrt.f64 (+.f64 a b)) 2)) (cbrt.f64 (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 a b) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (+.f64 a b) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (+.f64 a b) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a b) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 (pow.f64 (+.f64 a b) 3) (-.f64 a b)) (.f64 (+.f64 a b) (neg.f64 (-.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (+.f64 a b) 2) 2))))) 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b))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) a) (neg.f64 (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) (+.f64 a b)) (.f64 b (neg.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) (+.f64 a b)) (neg.f64 (-.f64 (.f64 b (+.f64 a b)) (fma.f64 (neg.f64 (+.f64 a b)) b (.f64 b (+.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 (neg.f64 (+.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))) (neg.f64 (-.f64 (.f64 b (+.f64 a b)) (fma.f64 (neg.f64 (+.f64 a b)) b (.f64 b (+.f64 a 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 (+.f64 a b)) b (.f64 b (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) (.f64 (cbrt.f64 (+.f64 a b)) a) (.f64 b (neg.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) (.f64 (cbrt.f64 (+.f64 a b)) a) (neg.f64 (-.f64 (.f64 b (+.f64 a b)) (fma.f64 (neg.f64 (+.f64 a b)) b (.f64 b (+.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 (neg.f64 (+.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))) (neg.f64 (-.f64 (.f64 b (+.f64 a b)) (fma.f64 (neg.f64 (+.f64 a b)) b (.f64 b (+.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 (.f64 (pow.f64 (+.f64 a b) 2) a)) (.f64 b (neg.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 (.f64 (pow.f64 (+.f64 a b) 2) a)) (neg.f64 (-.f64 (.f64 b (+.f64 a b)) (fma.f64 (neg.f64 (+.f64 a b)) b (.f64 b (+.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) a) (neg.f64 (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) (+.f64 a b)) (.f64 b (neg.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) (+.f64 a b)) (neg.f64 (-.f64 (.f64 b (+.f64 a b)) (fma.f64 (neg.f64 (+.f64 a b)) b (.f64 b (+.f64 a 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 (+.f64 a b)) b (.f64 b (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a b)) (.f64 (sqrt.f64 (+.f64 a b)) a) (.f64 b (neg.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a b)) (.f64 (sqrt.f64 (+.f64 a b)) a) (neg.f64 (-.f64 (.f64 b (+.f64 a b)) (fma.f64 (neg.f64 (+.f64 a b)) b (.f64 b (+.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 a) 2)) (pow.f64 (cbrt.f64 a) 2) (neg.f64 (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (sqrt.f64 a)) (sqrt.f64 a) (neg.f64 (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 a (+.f64 a b)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 a (+.f64 a b))) 2)) (.f64 b (neg.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 a (+.f64 a b)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 a (+.f64 a b))) 2)) (neg.f64 (-.f64 (.f64 b (+.f64 a b)) (fma.f64 (neg.f64 (+.f64 a b)) b (.f64 b (+.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (+.f64 a b) (.f64 a a))) (sqrt.f64 (+.f64 a b)) (.f64 b (neg.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (+.f64 a b) (.f64 a a))) (sqrt.f64 (+.f64 a b)) (neg.f64 (-.f64 (.f64 b (+.f64 a b)) (fma.f64 (neg.f64 (+.f64 a b)) b (.f64 b (+.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (neg.f64 (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (pow.f64 (cbrt.f64 (+.f64 a b)) 2)) (cbrt.f64 (+.f64 a b)) (.f64 b (neg.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (pow.f64 (cbrt.f64 (+.f64 a b)) 2)) (cbrt.f64 (+.f64 a b)) (neg.f64 (-.f64 (.f64 b (+.f64 a b)) (fma.f64 (neg.f64 (+.f64 a b)) b (.f64 b (+.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (sqrt.f64 (+.f64 a b))) (sqrt.f64 (+.f64 a b)) (.f64 b (neg.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (sqrt.f64 (+.f64 a b))) (sqrt.f64 (+.f64 a b)) (neg.f64 (-.f64 (.f64 b (+.f64 a b)) (fma.f64 (neg.f64 (+.f64 a b)) b (.f64 b (+.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (+.f64 a b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (.f64 b (neg.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (+.f64 a b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (neg.f64 (-.f64 (.f64 b (+.f64 a b)) (fma.f64 (neg.f64 (+.f64 a b)) b (.f64 b (+.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (+.f64 a b) (sqrt.f64 a)) (sqrt.f64 a) (.f64 b (neg.f64 (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (+.f64 a b) (sqrt.f64 a)) (sqrt.f64 a) (neg.f64 (-.f64 (.f64 b (+.f64 a b)) (fma.f64 (neg.f64 (+.f64 a b)) b (*.f64 b (+.f64 a b))))))))))

simplify334.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

706×	`distribute-lft-out_binary64`
693×	`associate-l_binary64`
592×	`distribute-rgt-out_binary64`
564×	`fma-neg_binary64`
502×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	1386
1	99	1341
2	237	1221
3	753	1092
4	3474	1092
5	5157	1092
6	6656	1092
7	7677	1092

Stop Event

1×	node limit

Counts

366 → 300

Calls

Call 1

Inputs
(pow.f64 b 2)
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(pow.f64 a 2)
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 a 2))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(pow.f64 a 2)
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 a 2))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(pow.f64 a 2)
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 a 2))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(pow.f64 b 2)
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(pow.f64 b 2)
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(+.f64 (.f64 2 (.f64 a (pow.f64 b 3))) (*.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (.f64 2 (.f64 a (pow.f64 b 3))) (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4)))
(+.f64 (.f64 2 (.f64 a (pow.f64 b 3))) (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4)))
(pow.f64 b 4)
(+.f64 (.f64 2 (.f64 a (pow.f64 b 3))) (pow.f64 b 4))
(+.f64 (.f64 2 (.f64 a (pow.f64 b 3))) (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4)))
(+.f64 (.f64 2 (.f64 a (pow.f64 b 3))) (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4)))
(pow.f64 b 4)
(+.f64 (.f64 2 (.f64 a (pow.f64 b 3))) (pow.f64 b 4))
(+.f64 (.f64 2 (.f64 a (pow.f64 b 3))) (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4)))
(+.f64 (.f64 2 (.f64 a (pow.f64 b 3))) (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4)))
(pow.f64 b 4)
(+.f64 (.f64 2 (.f64 a (pow.f64 b 3))) (pow.f64 b 4))
(+.f64 (.f64 2 (.f64 a (pow.f64 b 3))) (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4)))
(+.f64 (.f64 2 (.f64 a (pow.f64 b 3))) (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(+.f64 (.f64 2 (.f64 a (pow.f64 b 3))) (*.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (.f64 2 (.f64 a (pow.f64 b 3))) (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4)))
(+.f64 (.f64 2 (.f64 a (pow.f64 b 3))) (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(+.f64 (.f64 2 (.f64 a (pow.f64 b 3))) (*.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (.f64 2 (.f64 a (pow.f64 b 3))) (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4)))
(+.f64 (.f64 2 (.f64 a (pow.f64 b 3))) (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(+.f64 (.f64 2 (.f64 (pow.f64 a 3) b)) (*.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 3) b)) (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 3) b)) (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4)))
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 3) b)) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 3) b)) (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 3) b)) (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4)))
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 3) b)) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 3) b)) (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 3) b)) (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4)))
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 3) b)) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 3) b)) (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 3) b)) (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(+.f64 (.f64 2 (.f64 (pow.f64 a 3) b)) (*.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 3) b)) (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 3) b)) (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(+.f64 (.f64 2 (.f64 (pow.f64 a 3) b)) (*.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 3) b)) (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 3) b)) (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4)))
(*.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
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(fma.f64 2 (.f64 b a) (.f64 b b))
(.f64 b (+.f64 b (.f64 2 a)))
(*.f64 b (fma.f64 2 a b))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (fma.f64 2 (.f64 b a) (.f64 b b)) (*.f64 a a))
(fma.f64 2 (.f64 b a) (fma.f64 b b (.f64 a a)))
(fma.f64 b (fma.f64 2 a b) (*.f64 a a))
(fma.f64 b b (*.f64 a (fma.f64 b 2 a)))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (fma.f64 2 (.f64 b a) (.f64 b b)) (*.f64 a a))
(fma.f64 2 (.f64 b a) (fma.f64 b b (.f64 a a)))
(fma.f64 b (fma.f64 2 a b) (*.f64 a a))
(fma.f64 b b (*.f64 a (fma.f64 b 2 a)))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 a 2))
(fma.f64 2 (.f64 b a) (.f64 a a))
(.f64 a (+.f64 (.f64 b 2) a))
(*.f64 a (fma.f64 b 2 a))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (fma.f64 2 (.f64 b a) (.f64 b b)) (*.f64 a a))
(fma.f64 2 (.f64 b a) (fma.f64 b b (.f64 a a)))
(fma.f64 b (fma.f64 2 a b) (*.f64 a a))
(fma.f64 b b (*.f64 a (fma.f64 b 2 a)))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (fma.f64 2 (.f64 b a) (.f64 b b)) (*.f64 a a))
(fma.f64 2 (.f64 b a) (fma.f64 b b (.f64 a a)))
(fma.f64 b (fma.f64 2 a b) (*.f64 a a))
(fma.f64 b b (*.f64 a (fma.f64 b 2 a)))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 a 2))
(fma.f64 2 (.f64 b a) (.f64 a a))
(.f64 a (+.f64 (.f64 b 2) a))
(*.f64 a (fma.f64 b 2 a))
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(pow.f64 a 2)
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(+.f64 (.f64 2 (.f64 (pow.f64 a 3) b)) (*.f64 (pow.f64 a 2) (pow.f64 b 2)))
(fma.f64 2 (.f64 b (pow.f64 a 3)) (.f64 (.f64 b b) (.f64 a a)))
(fma.f64 2 (.f64 b (pow.f64 a 3)) (.f64 a (.f64 a (.f64 b b))))
(.f64 b (+.f64 (.f64 b (.f64 a a)) (.f64 2 (pow.f64 a 3))))
(.f64 b (.f64 (*.f64 a a) (fma.f64 2 a b)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 3) b)) (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4)))
(fma.f64 2 (.f64 b (pow.f64 a 3)) (fma.f64 (.f64 a a) (*.f64 b b) (pow.f64 a 4)))
(fma.f64 2 (.f64 b (pow.f64 a 3)) (.f64 (.f64 a a) (fma.f64 b b (.f64 a a))))
(fma.f64 b (.f64 b (.f64 a a)) (.f64 (pow.f64 a 3) (+.f64 (.f64 b 2) a)))
(.f64 (.f64 a a) (fma.f64 b b (*.f64 a (fma.f64 b 2 a))))
(+.f64 (.f64 2 (.f64 (pow.f64 a 3) b)) (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4)))
(fma.f64 2 (.f64 b (pow.f64 a 3)) (fma.f64 (.f64 a a) (*.f64 b b) (pow.f64 a 4)))
(fma.f64 2 (.f64 b (pow.f64 a 3)) (.f64 (.f64 a a) (fma.f64 b b (.f64 a a))))
(fma.f64 b (.f64 b (.f64 a a)) (.f64 (pow.f64 a 3) (+.f64 (.f64 b 2) a)))
(.f64 (.f64 a a) (fma.f64 b b (*.f64 a (fma.f64 b 2 a))))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 b b) (*.f64 a a))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 (.f64 b a) (*.f64 b a))
(+.f64 (.f64 2 (.f64 (pow.f64 a 3) b)) (*.f64 (pow.f64 a 2) (pow.f64 b 2)))
(fma.f64 2 (.f64 b (pow.f64 a 3)) (.f64 (.f64 b b) (.f64 a a)))
(fma.f64 2 (.f64 b (pow.f64 a 3)) (.f64 a (.f64 a (.f64 b b))))
(.f64 b (+.f64 (.f64 b (.f64 a a)) (.f64 2 (pow.f64 a 3))))
(.f64 b (.f64 (*.f64 a a) (fma.f64 2 a b)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 3) b)) (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4)))
(fma.f64 2 (.f64 b (pow.f64 a 3)) (fma.f64 (.f64 a a) (*.f64 b b) (pow.f64 a 4)))
(fma.f64 2 (.f64 b (pow.f64 a 3)) (.f64 (.f64 a a) (fma.f64 b b (.f64 a a))))
(fma.f64 b (.f64 b (.f64 a a)) (.f64 (pow.f64 a 3) (+.f64 (.f64 b 2) a)))
(.f64 (.f64 a a) (fma.f64 b b (*.f64 a (fma.f64 b 2 a))))
(+.f64 (.f64 2 (.f64 (pow.f64 a 3) b)) (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4)))
(fma.f64 2 (.f64 b (pow.f64 a 3)) (fma.f64 (.f64 a a) (*.f64 b b) (pow.f64 a 4)))
(fma.f64 2 (.f64 b (pow.f64 a 3)) (.f64 (.f64 a a) (fma.f64 b b (.f64 a a))))
(fma.f64 b (.f64 b (.f64 a a)) (.f64 (pow.f64 a 3) (+.f64 (.f64 b 2) a)))
(.f64 (.f64 a a) (fma.f64 b b (*.f64 a (fma.f64 b 2 a))))
(*.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 b (neg.f64 b) (*.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 b (neg.f64 b) (*.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 b (neg.f64 b) (*.f64 a a))
(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 b (neg.f64 b) (*.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 b (neg.f64 b) (*.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 b (neg.f64 b) (*.f64 a a))
(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 b (neg.f64 b) (*.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 b (neg.f64 b) (*.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 b (neg.f64 b) (*.f64 a a))
(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 b (neg.f64 b) (*.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 b (neg.f64 b) (*.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 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)) (pow.f64 a 2))
(fma.f64 -1 (.f64 b b) (.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 b (neg.f64 b) (*.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 b (neg.f64 b) (*.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 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)) (pow.f64 a 2))
(fma.f64 -1 (.f64 b b) (.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 b (neg.f64 b) (*.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 b (neg.f64 b) (*.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 b (neg.f64 b) (*.f64 a a))

eval533.0ms (10.6%)

Compiler: Compiled 14484 to 2849 computations (80.3% saved)

prune146.0ms (2.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	567	2	569
Fresh	0	0	0
Picked	1	0	1
Done	1	3	4
Total	569	5	574

Error

Counts

574 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (.f64 b (+.f64 a b)) (.f64 a (+.f64 a b)))
✓	0.0b	(*.f64 (+.f64 a b) (+.f64 a b))
▶	0.1b	(+.f64 (.f64 (.f64 2 a) b) (*.f64 b b))
▶	0.1b	(+.f64 (.f64 b (+.f64 a b)) (.f64 a b))
✓	0.9b	(*.f64 b b)

Compiler

Compiled 49 to 26 computations (46.9% saved)

localize17.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 6 computations (75% saved)

series6.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	a	@	0	(+.f64 (.f64 b (+.f64 a b)) (.f64 a b))
1.0ms	b	@	0	(+.f64 (.f64 b (+.f64 a b)) (.f64 a b))
1.0ms	b	@	inf	(+.f64 (.f64 b (+.f64 a b)) (.f64 a b))
1.0ms	b	@	-inf	(+.f64 (.f64 b (+.f64 a b)) (.f64 a b))
1.0ms	a	@	-inf	(+.f64 (.f64 b (+.f64 a b)) (.f64 a b))

rewrite91.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

968×	`pow1_binary64`
902×	`add-log-exp_binary64`
902×	`log1p-expm1-u_binary64`
902×	`expm1-log1p-u_binary64`
86×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	161	10
2	2465	10

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

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

simplify223.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

778×	`sqr-pow_binary64`
582×	`fma-def_binary64`
555×	`fabs-mul_binary64`
555×	`cube-prod_binary64`
487×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	231
1	19	213
2	41	177
3	79	177
4	170	177
5	476	177
6	1590	177
7	2828	177
8	3175	177
9	3398	177
10	3620	177
11	3938	177
12	4358	177
13	4847	177
14	5421	177
15	6115	177
16	6969	177
17	7366	177
18	7656	177
19	7936	177

Stop Event

1×	node limit

Counts

64 → 46

Calls

Call 1

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

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

localize212.0ms (4.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 2 a) b) (*.f64 b b))

Compiler

Compiled 25 to 13 computations (48% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite74.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

890×	`pow1_binary64`
828×	`add-log-exp_binary64`
827×	`log1p-expm1-u_binary64`
827×	`expm1-log1p-u_binary64`
809×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	174	8
2	2324	8

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 b (fma.f64 2 a b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 a b)) 2) (*.f64 b (-.f64 (*.f64 2 a) b))) (/.f64 (pow.f64 b 4) (*.f64 b (-.f64 (*.f64 2 a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (fma.f64 2 a b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b (fma.f64 2 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 b (fma.f64 2 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 b (fma.f64 2 a b))) (pow.f64 (cbrt.f64 (*.f64 b (fma.f64 2 a b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 b (fma.f64 2 a b))) 2) (cbrt.f64 (*.f64 b (fma.f64 2 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (fma.f64 2 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 b (fma.f64 2 a b))) (sqrt.f64 (*.f64 b (fma.f64 2 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (fma.f64 2 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 a b) 3)) (pow.f64 b 6)) (/.f64 1 (+.f64 (pow.f64 (*.f64 2 (*.f64 a b)) 2) (-.f64 (pow.f64 b 4) (*.f64 (*.f64 2 a) (pow.f64 b 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 2 (*.f64 a b)) 2) (pow.f64 b 4)) (/.f64 1 (*.f64 b (-.f64 (*.f64 2 a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 a b) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 2 (*.f64 a b)) 2) (-.f64 (pow.f64 b 4) (*.f64 (*.f64 2 a) (pow.f64 b 3)))) (+.f64 (*.f64 8 (pow.f64 (*.f64 a b) 3)) (pow.f64 b 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 b (-.f64 (*.f64 2 a) b)) (-.f64 (pow.f64 (*.f64 2 (*.f64 a b)) 2) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 a b) 3)) (pow.f64 b 6)) (+.f64 (pow.f64 (*.f64 2 (*.f64 a b)) 2) (-.f64 (pow.f64 b 4) (*.f64 (*.f64 2 a) (pow.f64 b 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 a b) 3)) (pow.f64 b 6)) (+.f64 (pow.f64 b 4) (-.f64 (pow.f64 (*.f64 2 (*.f64 a b)) 2) (*.f64 (*.f64 2 a) (pow.f64 b 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 2 (*.f64 a b)) 2) (pow.f64 b 4)) (*.f64 b (-.f64 (*.f64 2 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 a b) 3)) (pow.f64 b 6))) (neg.f64 (+.f64 (pow.f64 (*.f64 2 (*.f64 a b)) 2) (-.f64 (pow.f64 b 4) (*.f64 (*.f64 2 a) (pow.f64 b 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 2 (*.f64 a b)) 2) (pow.f64 b 4))) (neg.f64 (*.f64 b (-.f64 (*.f64 2 a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 b 4) (pow.f64 (*.f64 2 (*.f64 a b)) 2)) (-.f64 (*.f64 b b) (*.f64 2 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (fma.f64 2 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 b (fma.f64 2 a b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 b (fma.f64 2 a b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 b (fma.f64 2 a b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 b (fma.f64 2 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b) (fma.f64 2 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 b (fma.f64 2 a b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 b (fma.f64 2 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 b (fma.f64 2 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 b (fma.f64 2 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (*.f64 a b) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 a) b (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (*.f64 2 a) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b b (*.f64 2 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2 (*.f64 a b)) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 b b) (*.f64 2 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 a b))) 2) (cbrt.f64 (*.f64 2 (*.f64 a b))) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 b 4)) (pow.f64 (cbrt.f64 b) 2) (*.f64 2 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2 (*.f64 a b))) (sqrt.f64 (*.f64 2 (*.f64 a b))) (*.f64 b b))))))

simplify195.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

778×	`sqr-pow_binary64`
582×	`fma-def_binary64`
555×	`cube-prod_binary64`
549×	`fabs-mul_binary64`
488×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	231
1	19	213
2	41	177
3	79	177
4	170	177
5	485	177
6	1619	177
7	2847	177
8	3194	177
9	3416	177
10	3638	177
11	3954	177
12	4374	177
13	4863	177
14	5437	177
15	6127	177
16	6979	177
17	7370	177
18	7660	177
19	7942	177

Stop Event

1×	node limit

Counts

64 → 45

Calls

Call 1

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

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

eval331.0ms (6.6%)

Compiler: Compiled 2224 to 856 computations (61.5% saved)

prune40.0ms (0.8%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	155	6	161

Error

Counts

161 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (.f64 b (+.f64 a b)) (.f64 a (+.f64 a b)))
✓	0.0b	(*.f64 (+.f64 a b) (+.f64 a b))
✓	0.1b	(+.f64 (.f64 (.f64 2 a) b) (*.f64 b b))
✓	0.1b	(+.f64 (.f64 b (+.f64 a b)) (.f64 a b))
✓	0.9b	(*.f64 b b)
▶	0.8b	(+.f64 (.f64 b b) (.f64 a b))

Compiler

Compiled 58 to 31 computations (46.6% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 5 computations (70.6% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite51.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

715×	`pow1_binary64`
667×	`add-log-exp_binary64`
667×	`log1p-expm1-u_binary64`
667×	`expm1-log1p-u_binary64`
651×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	132	7
2	1860	7

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

simplify172.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
560×	`cube-prod_binary64`
555×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
481×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	168
1	15	150
2	29	150
3	51	150
4	110	150
5	303	150
6	1037	150
7	2189	150
8	2536	150
9	2728	150
10	2938	150
11	3246	150
12	3657	150
13	4138	150
14	4712	150
15	5406	150
16	6250	150
17	6647	150
18	6935	150
19	7211	150
20	7283	150
21	7319	150

Stop Event

1×	node limit

Counts

63 → 44

Calls

Call 1

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

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

eval10.0ms (0.2%)

Compiler: Compiled 502 to 211 computations (58% saved)

prune8.0ms (0.2%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	43	1	44
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	44	6	50

Error

Counts

50 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (.f64 b (+.f64 a b)) (.f64 a (+.f64 a b)))
✓	0.0b	(*.f64 (+.f64 a b) (+.f64 a b))
✓	0.1b	(+.f64 (.f64 (.f64 2 a) b) (*.f64 b b))
✓	0.1b	(+.f64 (.f64 b (+.f64 a b)) (.f64 a b))
✓	0.9b	(*.f64 b b)
	0.8b	(*.f64 (+.f64 b a) b)

Compiler

Compiled 56 to 30 computations (46.4% saved)

regimes28.0ms (0.6%)

Counts

9 → 1

Calls

Call 1

Inputs
(*.f64 b b)
(*.f64 (+.f64 b a) b)
(+.f64 (.f64 b b) (.f64 a b))
(*.f64 (+.f64 a b) (+.f64 a b))
(+.f64 (.f64 (.f64 2 a) b) (*.f64 b b))
(+.f64 (.f64 b (+.f64 a b)) (.f64 a b))
(+.f64 (.f64 b (+.f64 a b)) (.f64 a (+.f64 a b)))
(/.f64 (-.f64 (.f64 (.f64 a (+.f64 a b)) (.f64 a (+.f64 a b))) (.f64 (.f64 b (+.f64 a b)) (.f64 b (+.f64 a b)))) (-.f64 (.f64 a (+.f64 a b)) (.f64 b (+.f64 a b))))
(*.f64 b (fma.f64 2 a b))

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

Calls

4 calls:

8.0ms	b
7.0ms	(+.f64 a b)
6.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
4.0ms	a

Results

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

Compiler

Compiled 114 to 36 computations (68.4% saved)

regimes22.0ms (0.4%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
5.0ms	(+.f64 a b)
5.0ms	b
3.0ms	a

Results

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

Compiler

Compiled 62 to 26 computations (58.1% saved)

regimes9.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	a
4.0ms	b

Results

Error	Segments	Branch
0.8b	1	`a`
0.8b	1	`b`

Compiler

Compiled 23 to 11 computations (52.2% saved)

regimes7.0ms (0.1%)

Accuracy

Total -0.1b remaining (-6.1%)

Threshold costs -0.1b (-6.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	b
3.0ms	a

Results

Error	Segments	Branch
0.8b	1	`a`
0.8b	1	`b`

Compiler

Compiled 16 to 9 computations (43.8% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
3×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	47
1	19	47

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 43 to 22 computations (48.8% saved)

soundness0.0ms (0%)

end31.0ms (0.6%)

Remove: (sort a b)
Compiler: Compiled 61 to 22 computations (63.9% saved)

Details

analyze0.0ms (0%)

sample1.1s (20.9%)

preprocess21.0ms (0.4%)

simplify9.0ms (0.2%)

eval3.0ms (0.1%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series5.0ms (0.1%)

rewrite90.0ms (1.8%)

simplify195.0ms (3.9%)

eval7.0ms (0.1%)

prune9.0ms (0.2%)

localize5.0ms (0.1%)

localize13.0ms (0.3%)

series4.0ms (0.1%)

rewrite42.0ms (0.8%)

simplify160.0ms (3.2%)

localize13.0ms (0.3%)

series13.0ms (0.3%)

rewrite134.0ms (2.7%)

simplify237.0ms (4.7%)

localize37.0ms (0.7%)

series154.0ms (3.1%)

rewrite256.0ms (5.1%)

simplify334.0ms (6.7%)

eval533.0ms (10.6%)

prune146.0ms (2.9%)

localize17.0ms (0.3%)

series6.0ms (0.1%)

rewrite91.0ms (1.8%)

simplify223.0ms (4.4%)

localize212.0ms (4.2%)

series4.0ms (0.1%)

rewrite74.0ms (1.5%)

simplify195.0ms (3.9%)

eval331.0ms (6.6%)

prune40.0ms (0.8%)

localize6.0ms (0.1%)

series2.0ms (0%)

rewrite51.0ms (1%)

simplify172.0ms (3.4%)

eval10.0ms (0.2%)

prune8.0ms (0.2%)

regimes28.0ms (0.6%)

regimes22.0ms (0.4%)

regimes9.0ms (0.2%)

regimes7.0ms (0.1%)

simplify5.0ms (0.1%)

soundness0.0ms (0%)

end31.0ms (0.6%)

Profiling