Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 24 to 15 computations (37.5% saved)

sample969.0ms (19.6%)

Results

957.0ms

8256×

body

256

valid

Bogosity

preprocess154.0ms (3.1%)

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)

simplify11.0ms (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))

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

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)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite189.0ms (3.8%)

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)))))))

simplify179.0ms (3.6%)

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))

eval8.0ms (0.2%)

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

prune10.0ms (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
▶	0.0b	(+.f64 (.f64 b (+.f64 a b)) (.f64 a (+.f64 a b)))
▶	0.5b	(/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 a b)) (fma.f64 a a (.f64 b (-.f64 b a))))
▶	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))))
▶	0.5b	(*.f64 b b)
✓	0.0b	(*.f64 (+.f64 a b) (+.f64 a b))

Compiler

Compiled 86 to 36 computations (58.1% saved)

localize3.0ms (0.1%)

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

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 28 to 6 computations (78.6% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite81.0ms (1.6%)

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	17
1	167	14
2	2625	14

Stop Event

1×	node limit

Counts

2 → 174

Calls

Call 1

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

Outputs
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(+.f64 b a)) (-.f64 (.f64 a (+.f64 b a)) (.f64 b (+.f64 b a))) (pow.f64 (.f64 b (+.f64 b a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (+.f64 b a) 2) (.f64 (+.f64 b a) (-.f64 b a))) (/.f64 1 (.f64 (+.f64 b a) (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 b a) 3/2) (sqrt.f64 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 b a)) 5) (cbrt.f64 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (.f64 a (+.f64 b a)) (-.f64 (.f64 a (+.f64 b a)) (.f64 b (+.f64 b a))) (pow.f64 (.f64 b (+.f64 b a)) 2)) (+.f64 (pow.f64 (.f64 b (+.f64 b a)) 3) (pow.f64 (.f64 a (+.f64 b a)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (.f64 (pow.f64 (+.f64 b a) 2) (.f64 (+.f64 b a) (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 b (+.f64 b a)) 3) (pow.f64 (.f64 a (+.f64 b a)) 3)) (fma.f64 (.f64 a (+.f64 b a)) (-.f64 (.f64 a (+.f64 b a)) (.f64 b (+.f64 b a))) (pow.f64 (.f64 b (+.f64 b a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 b (+.f64 b a)) 3) (pow.f64 (.f64 a (+.f64 b a)) 3)) (+.f64 (pow.f64 (.f64 a (+.f64 b a)) 2) (-.f64 (pow.f64 (.f64 b (+.f64 b a)) 2) (.f64 b (.f64 (+.f64 b a) (.f64 a (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (+.f64 b a) 2) (.f64 (+.f64 b a) (-.f64 b a))) (.f64 (+.f64 b a) (-.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 2) (pow.f64 (-.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) 2) (pow.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (.f64 b (+.f64 b a)) 3) (pow.f64 (.f64 a (+.f64 b a)) 3))) (neg.f64 (fma.f64 (.f64 a (+.f64 b a)) (-.f64 (.f64 a (+.f64 b a)) (.f64 b (+.f64 b a))) (pow.f64 (.f64 b (+.f64 b a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (pow.f64 (+.f64 b a) 2) (.f64 (+.f64 b a) (-.f64 b a)))) (neg.f64 (.f64 (+.f64 b a) (-.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 b (-.f64 b a) (.f64 a 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 b (-.f64 b a) (.f64 a a)) (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 a (+.f64 b a)) 2) (pow.f64 (.f64 b (+.f64 b a)) 2)) (-.f64 (.f64 a (+.f64 b a)) (.f64 b (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 b a)) (fma.f64 b (-.f64 b a) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 a a) (.f64 b b)) (+.f64 b a)) (-.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 b 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 (+.f64 b a) (-.f64 (.f64 a a) (.f64 b b))) (-.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 b a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b a) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b a) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b a) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (+.f64 b a)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 b a)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 b a)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (.f64 2 (log.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 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1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b a (fma.f64 b b (.f64 a (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (+.f64 b a) (.f64 a (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a b (fma.f64 b b (.f64 a (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a a (fma.f64 b a (.f64 b (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (+.f64 b a) (.f64 b (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 b a) b (.f64 a (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 b a) a (.f64 b (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b (+.f64 b a)) 1 (.f64 a (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (+.f64 b a)) 1 (.f64 b (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 b (+.f64 b a)) (.f64 a (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 a (+.f64 b a)) (.f64 b (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 a a) (fma.f64 b a (.f64 b (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 b a) (fma.f64 b b (.f64 a (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 a (+.f64 b a))) (pow.f64 (cbrt.f64 (.f64 a (+.f64 b a))) 2) (.f64 b (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 a (+.f64 b a))) 2) (cbrt.f64 (.f64 a (+.f64 b a))) (.f64 b (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) a) (fma.f64 b a (.f64 b (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) (+.f64 b a)) (.f64 b (+.f64 b a)))))) (#(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 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 b (+.f64 b a))) 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a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 a) a) (pow.f64 (cbrt.f64 a) 2) (fma.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)) (fma.f64 b b (.f64 a (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 b a)) (sqrt.f64 (.f64 b a)) (fma.f64 b b (.f64 a (+.f64 b a))))))) (#(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 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b (sqrt.f64 a)) (sqrt.f64 a) (fma.f64 b b (.f64 a (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 5) (cbrt.f64 a) (fma.f64 b a (.f64 b (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b (pow.f64 (cbrt.f64 (+.f64 b a)) 2)) (cbrt.f64 (+.f64 b a)) (.f64 a (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b (sqrt.f64 (+.f64 b a))) (sqrt.f64 (+.f64 b a)) (.f64 a (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (+.f64 b a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (.f64 a (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (+.f64 b a) (sqrt.f64 b)) (sqrt.f64 b) (.f64 a (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (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 (.f64 a (sqrt.f64 (+.f64 b a))) (sqrt.f64 (+.f64 b a)) (.f64 b (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (+.f64 b a) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (.f64 b (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (+.f64 b a) (sqrt.f64 a)) (sqrt.f64 a) (.f64 b (+.f64 b a)))))) (#(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 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (sqrt.f64 b)) (sqrt.f64 b) (fma.f64 b b (*.f64 a (+.f64 b a))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a a) (.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b a) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 a (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 a a) 1) (.f64 (.f64 b a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (+.f64 b a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (+.f64 b a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 a (+.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 6) (pow.f64 (.f64 b a) 3)) (+.f64 (pow.f64 a 4) (-.f64 (pow.f64 (.f64 b a) 2) (.f64 (.f64 a a) (.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a 4) (pow.f64 (.f64 b a) 2)) (-.f64 (.f64 a a) (.f64 b a)))))) (#(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 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a (+.f64 b a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 a (+.f64 b a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 a (+.f64 b a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a (+.f64 b a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (.f64 a (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 a (+.f64 b a)))) 2)) (cbrt.f64 (log.f64 (.f64 a (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 a (+.f64 b a))))) (sqrt.f64 (log.f64 (.f64 a (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 a (+.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 a (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 a (+.f64 b a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 a (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 a (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 a (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 a (+.f64 b a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 a (+.f64 b a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 a (+.f64 b a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a (+.f64 b a)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 a (+.f64 b a))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 a (+.f64 b a))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 a) 1) (log.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 a) (.f64 (log.f64 (+.f64 b a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 a) 1) (.f64 (log.f64 (+.f64 b a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (+.f64 b a)) 1) (log.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (+.f64 b a)) (.f64 (log.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (+.f64 b a)) 1) (.f64 (log.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b a (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a b (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a a (.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 a a) (.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 b a) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a a) 1 (.f64 (.f64 b a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) a) (.f64 b a))))) (#(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 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 b) a) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (pow.f64 a 3/2) (.f64 b a))))) (#(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 (sqrt.f64 b) (.f64 (sqrt.f64 b) a) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3/2) (sqrt.f64 a) (.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 a) a) (pow.f64 (cbrt.f64 a) 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 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 b a)) (sqrt.f64 (.f64 b a)) (.f64 a a))))) (#(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 (pow.f64 (cbrt.f64 a) 5) (cbrt.f64 a) (.f64 b 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))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 b a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 b (+.f64 b a)) 2) (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 (pow.f64 (*.f64 a (+.f64 b a)) 2) (*.f64 (+.f64 b a) (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b a) (+.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 b a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 b a)) 2) (pow.f64 (cbrt.f64 (+.f64 b a)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 b a)) 4) (pow.f64 (cbrt.f64 (+.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 b a)) (pow.f64 (+.f64 b a) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 b (+.f64 b a)) 3) (pow.f64 (*.f64 a (+.f64 b a)) 3)) (/.f64 1 (fma.f64 (*.f64 a (+.f64 b a)) (-.f64 (*.f64 a (+.f64 b a)) (*.f64 b (+.f64 b a))) (pow.f64 (*.f64 b (+.f64 b a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 b a) 2) (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 1 (*.f64 (+.f64 b a) (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 b a) 3/2) (sqrt.f64 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 b a)) 5) (cbrt.f64 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 a (+.f64 b a)) (-.f64 (*.f64 a (+.f64 b a)) (*.f64 b (+.f64 b a))) (pow.f64 (*.f64 b (+.f64 b a)) 2)) (+.f64 (pow.f64 (*.f64 b (+.f64 b a)) 3) (pow.f64 (*.f64 a (+.f64 b a)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (pow.f64 (+.f64 b a) 2) (*.f64 (+.f64 b a) (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 b (+.f64 b a)) 3) (pow.f64 (*.f64 a 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(*.f64 b b)) (+.f64 b a)) (-.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 b 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 (+.f64 b a) (-.f64 (*.f64 a a) (*.f64 b b))) (-.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 b a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b a) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b a) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b a) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (+.f64 b a)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 b a)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 b a)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (*.f64 2 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a a) (*.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b a) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a a) 1) (*.f64 (*.f64 b a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (+.f64 b a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (+.f64 b a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (+.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 6) (pow.f64 (*.f64 b a) 3)) (+.f64 (pow.f64 a 4) (-.f64 (pow.f64 (*.f64 b a) 2) (*.f64 (*.f64 a a) (*.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a 4) 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(*.f64 (cbrt.f64 b) a) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (pow.f64 a 3/2) (*.f64 b a))))) (#(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 (sqrt.f64 b) (*.f64 (sqrt.f64 b) a) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3/2) (sqrt.f64 a) (*.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 a) a) (pow.f64 (cbrt.f64 a) 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 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 b a)) (sqrt.f64 (*.f64 b a)) (*.f64 a a))))) (#(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 (pow.f64 (cbrt.f64 a) 5) (cbrt.f64 a) (*.f64 b 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))))))

simplify339.0ms (6.9%)

Algorithm

1×	egg-herbie

Rules

947×	`sqr-pow_binary64`
826×	`fma-def_binary64`
549×	`fabs-mul_binary64`
539×	`cube-prod_binary64`
398×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	462
1	35	417
2	79	372
3	169	366
4	463	366
5	1674	366
6	3108	366
7	3452	366
8	3643	366
9	3891	366
10	4191	366
11	4586	366
12	5097	366
13	5675	366
14	6425	366
15	6972	366
16	7308	366
17	7630	366
18	7712	366
19	7744	366

Stop Event

1×	node limit

Counts

222 → 187

Calls

Call 1

Inputs
(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)))
(*.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))

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

localize169.0ms (3.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 a b))
✓	0.5b	(/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 a b)) (fma.f64 a a (.f64 b (-.f64 b a))))

Compiler

Compiled 68 to 29 computations (57.4% saved)

series12.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	b	@	inf	(/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 a b)) (fma.f64 a a (.f64 b (-.f64 b a))))
1.0ms	b	@	-inf	(/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 a b)) (fma.f64 a a (.f64 b (-.f64 b a))))
1.0ms	a	@	0	(/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 a b)) (fma.f64 a a (.f64 b (-.f64 b a))))
1.0ms	b	@	0	(/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 a b)) (fma.f64 a a (.f64 b (-.f64 b a))))
1.0ms	a	@	-inf	(/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 a b)) (fma.f64 a a (.f64 b (-.f64 b a))))

rewrite235.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

795×	`log-prod_binary64`
784×	`fma-def_binary64`
294×	`fma-neg_binary64`
258×	`expm1-udef_binary64`
258×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	45
1	313	23
2	4837	23

Stop Event

1×	node limit

Counts

2 → 141

Calls

Call 1

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

simplify71.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

776×	`times-frac_binary64`
592×	`associate-+l+_binary64`
276×	`associate-/l*_binary64`
230×	`associate-/r*_binary64`
222×	`associate-+l-_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	138	1014
1	500	744
2	2131	600

Stop Event

1×	node limit

Counts

189 → 180

Calls

Call 1

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

Outputs
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (.f64 a (-.f64 b (.f64 -1 b))) (pow.f64 b 2))
(fma.f64 a (-.f64 b (neg.f64 b)) (*.f64 b b))
(*.f64 b (+.f64 b (+.f64 a a)))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 1 (.f64 -1 (/.f64 (-.f64 b (.f64 -1 b)) b))))) (+.f64 (.f64 a (-.f64 b (.f64 -1 b))) (pow.f64 b 2)))
(fma.f64 -1 (.f64 (.f64 a a) (+.f64 1 (neg.f64 (/.f64 (-.f64 b (neg.f64 b)) b)))) (fma.f64 a (-.f64 b (neg.f64 b)) (*.f64 b b)))
(fma.f64 b b (*.f64 a (+.f64 (+.f64 b b) a)))
(fma.f64 b (+.f64 b (+.f64 a a)) (*.f64 a a))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 1 (.f64 -1 (/.f64 (-.f64 b (.f64 -1 b)) b))))) (+.f64 (.f64 a (-.f64 b (.f64 -1 b))) (+.f64 (pow.f64 b 2) (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1 (/.f64 (-.f64 b (.f64 -1 b)) (pow.f64 b 2))) (*.f64 2 (/.f64 1 b))))))))
(fma.f64 -1 (.f64 (.f64 a a) (+.f64 1 (neg.f64 (/.f64 (-.f64 b (neg.f64 b)) b)))) (fma.f64 a (-.f64 b (neg.f64 b)) (*.f64 b b)))
(fma.f64 b b (*.f64 a (+.f64 (+.f64 b b) a)))
(fma.f64 b (+.f64 b (+.f64 a a)) (*.f64 a a))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (.f64 a (-.f64 b (.f64 -1 b))) (pow.f64 a 2))
(fma.f64 a (-.f64 b (neg.f64 b)) (*.f64 a a))
(*.f64 a (+.f64 (+.f64 b b) a))
(*.f64 a (+.f64 b (+.f64 b a)))
(+.f64 (.f64 -1 (+.f64 (.f64 -1 (.f64 (-.f64 b (.f64 -1 b)) b)) (pow.f64 b 2))) (+.f64 (.f64 a (-.f64 b (.f64 -1 b))) (pow.f64 a 2)))
(fma.f64 -1 (.f64 (.f64 a a) (+.f64 1 (neg.f64 (/.f64 (-.f64 b (neg.f64 b)) b)))) (fma.f64 a (-.f64 b (neg.f64 b)) (*.f64 b b)))
(fma.f64 b b (*.f64 a (+.f64 (+.f64 b b) a)))
(fma.f64 b (+.f64 b (+.f64 a a)) (*.f64 a a))
(-.f64 (+.f64 (.f64 -1 (+.f64 (.f64 -1 (.f64 (-.f64 b (.f64 -1 b)) b)) (pow.f64 b 2))) (+.f64 (/.f64 (pow.f64 b 3) a) (+.f64 (.f64 a (-.f64 b (.f64 -1 b))) (pow.f64 a 2)))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (-.f64 b (.f64 -1 b)) b)) (pow.f64 b 2)) b) a) (/.f64 (.f64 (-.f64 b (.f64 -1 b)) (pow.f64 b 2)) a)))
(-.f64 (fma.f64 -1 (fma.f64 -1 (.f64 b (-.f64 b (neg.f64 b))) (.f64 b b)) (+.f64 (fma.f64 a (-.f64 b (neg.f64 b)) (.f64 a a)) (/.f64 (pow.f64 b 3) a))) (+.f64 (/.f64 (fma.f64 -1 (.f64 b (-.f64 b (neg.f64 b))) (.f64 b b)) (/.f64 a b)) (/.f64 (-.f64 b (neg.f64 b)) (/.f64 a (.f64 b b)))))
(-.f64 (+.f64 (-.f64 (.f64 a (+.f64 (+.f64 b b) a)) (.f64 b (+.f64 b (.f64 b -2)))) (/.f64 (pow.f64 b 3) a)) (+.f64 (.f64 (/.f64 (.f64 b (+.f64 b (.f64 b -2))) a) b) (/.f64 (+.f64 b b) (/.f64 a (*.f64 b b)))))
(+.f64 (.f64 b (+.f64 b (+.f64 a a))) (fma.f64 a a (.f64 (pow.f64 b 3) 0)))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (.f64 -1 (.f64 a (-.f64 (*.f64 -1 b) b))) (pow.f64 a 2))
(fma.f64 a (-.f64 b (neg.f64 b)) (*.f64 a a))
(*.f64 a (+.f64 (+.f64 b b) a))
(*.f64 a (+.f64 b (+.f64 b a)))
(+.f64 (.f64 -1 (.f64 a (-.f64 (.f64 -1 b) b))) (+.f64 (.f64 -1 (+.f64 (.f64 (-.f64 (.f64 -1 b) b) b) (pow.f64 b 2))) (pow.f64 a 2)))
(fma.f64 -1 (.f64 (.f64 a a) (+.f64 1 (neg.f64 (/.f64 (-.f64 b (neg.f64 b)) b)))) (fma.f64 a (-.f64 b (neg.f64 b)) (*.f64 b b)))
(fma.f64 b b (*.f64 a (+.f64 (+.f64 b b) a)))
(fma.f64 b (+.f64 b (+.f64 a a)) (*.f64 a a))
(+.f64 (.f64 -1 (.f64 a (-.f64 (.f64 -1 b) b))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (pow.f64 b 3)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 (-.f64 (.f64 -1 b) b) b) (pow.f64 b 2)) b)) (.f64 (-.f64 (.f64 -1 b) b) (pow.f64 b 2)))) a)) (+.f64 (.f64 -1 (+.f64 (.f64 (-.f64 (.f64 -1 b) b) b) (pow.f64 b 2))) (pow.f64 a 2))))
(-.f64 (fma.f64 -1 (fma.f64 -1 (.f64 b (-.f64 b (neg.f64 b))) (.f64 b b)) (+.f64 (fma.f64 a (-.f64 b (neg.f64 b)) (.f64 a a)) (/.f64 (pow.f64 b 3) a))) (+.f64 (/.f64 (fma.f64 -1 (.f64 b (-.f64 b (neg.f64 b))) (.f64 b b)) (/.f64 a b)) (/.f64 (-.f64 b (neg.f64 b)) (/.f64 a (.f64 b b)))))
(-.f64 (+.f64 (-.f64 (.f64 a (+.f64 (+.f64 b b) a)) (.f64 b (+.f64 b (.f64 b -2)))) (/.f64 (pow.f64 b 3) a)) (+.f64 (.f64 (/.f64 (.f64 b (+.f64 b (.f64 b -2))) a) b) (/.f64 (+.f64 b b) (/.f64 a (*.f64 b b)))))
(+.f64 (.f64 b (+.f64 b (+.f64 a a))) (fma.f64 a a (.f64 (pow.f64 b 3) 0)))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (.f64 (-.f64 a (.f64 -1 a)) b) (pow.f64 a 2))
(fma.f64 a (-.f64 b (neg.f64 b)) (*.f64 a a))
(*.f64 a (+.f64 (+.f64 b b) a))
(*.f64 a (+.f64 b (+.f64 b a)))
(+.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 (/.f64 (-.f64 a (.f64 -1 a)) a))) (pow.f64 b 2))) (+.f64 (.f64 (-.f64 a (.f64 -1 a)) b) (pow.f64 a 2)))
(fma.f64 -1 (.f64 (.f64 a a) (+.f64 1 (neg.f64 (/.f64 (-.f64 b (neg.f64 b)) b)))) (fma.f64 a (-.f64 b (neg.f64 b)) (*.f64 b b)))
(fma.f64 b b (*.f64 a (+.f64 (+.f64 b b) a)))
(fma.f64 b (+.f64 b (+.f64 a a)) (*.f64 a a))
(+.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 (/.f64 (-.f64 a (.f64 -1 a)) a))) (pow.f64 b 2))) (+.f64 (.f64 (-.f64 a (.f64 -1 a)) b) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 a (.f64 -1 a)) (pow.f64 a 2))) (*.f64 2 (/.f64 1 a))) (pow.f64 b 3))) (pow.f64 a 2))))
(-.f64 (fma.f64 -1 (fma.f64 -1 (.f64 b (-.f64 b (neg.f64 b))) (.f64 b b)) (+.f64 (fma.f64 a (-.f64 b (neg.f64 b)) (.f64 a a)) (/.f64 (pow.f64 b 3) a))) (+.f64 (/.f64 (fma.f64 -1 (.f64 b (-.f64 b (neg.f64 b))) (.f64 b b)) (/.f64 a b)) (/.f64 (-.f64 b (neg.f64 b)) (/.f64 a (.f64 b b)))))
(-.f64 (+.f64 (-.f64 (.f64 a (+.f64 (+.f64 b b) a)) (.f64 b (+.f64 b (.f64 b -2)))) (/.f64 (pow.f64 b 3) a)) (+.f64 (.f64 (/.f64 (.f64 b (+.f64 b (.f64 b -2))) a) b) (/.f64 (+.f64 b b) (/.f64 a (*.f64 b b)))))
(+.f64 (.f64 b (+.f64 b (+.f64 a a))) (fma.f64 a a (.f64 (pow.f64 b 3) 0)))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (.f64 (-.f64 a (.f64 -1 a)) b) (pow.f64 b 2))
(fma.f64 a (-.f64 b (neg.f64 b)) (*.f64 b b))
(*.f64 b (+.f64 b (+.f64 a a)))
(+.f64 (.f64 (-.f64 a (.f64 -1 a)) b) (+.f64 (.f64 -1 (+.f64 (.f64 -1 (.f64 (-.f64 a (.f64 -1 a)) a)) (pow.f64 a 2))) (pow.f64 b 2)))
(fma.f64 -1 (.f64 (.f64 a a) (+.f64 1 (neg.f64 (/.f64 (-.f64 b (neg.f64 b)) b)))) (fma.f64 a (-.f64 b (neg.f64 b)) (*.f64 b b)))
(fma.f64 b b (*.f64 a (+.f64 (+.f64 b b) a)))
(fma.f64 b (+.f64 b (+.f64 a a)) (*.f64 a a))
(-.f64 (+.f64 (.f64 (-.f64 a (.f64 -1 a)) b) (+.f64 (.f64 -1 (+.f64 (.f64 -1 (.f64 (-.f64 a (.f64 -1 a)) a)) (pow.f64 a 2))) (+.f64 (pow.f64 b 2) (/.f64 (pow.f64 a 3) b)))) (+.f64 (/.f64 (.f64 a (+.f64 (.f64 -1 (.f64 (-.f64 a (.f64 -1 a)) a)) (pow.f64 a 2))) b) (/.f64 (.f64 (-.f64 a (.f64 -1 a)) (pow.f64 a 2)) b)))
(fma.f64 -1 (.f64 (.f64 a a) (+.f64 1 (neg.f64 (/.f64 (-.f64 b (neg.f64 b)) b)))) (fma.f64 a (-.f64 b (neg.f64 b)) (*.f64 b b)))
(fma.f64 b b (*.f64 a (+.f64 (+.f64 b b) a)))
(fma.f64 b (+.f64 b (+.f64 a a)) (*.f64 a a))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -1 (.f64 (-.f64 (*.f64 -1 a) a) b)))
(fma.f64 a (-.f64 b (neg.f64 b)) (*.f64 b b))
(*.f64 b (+.f64 b (+.f64 a a)))
(+.f64 (pow.f64 b 2) (+.f64 (.f64 -1 (+.f64 (.f64 a (-.f64 (.f64 -1 a) a)) (pow.f64 a 2))) (.f64 -1 (.f64 (-.f64 (.f64 -1 a) a) b))))
(fma.f64 -1 (.f64 (.f64 a a) (+.f64 1 (neg.f64 (/.f64 (-.f64 b (neg.f64 b)) b)))) (fma.f64 a (-.f64 b (neg.f64 b)) (*.f64 b b)))
(fma.f64 b b (*.f64 a (+.f64 (+.f64 b b) a)))
(fma.f64 b (+.f64 b (+.f64 a a)) (*.f64 a a))
(+.f64 (pow.f64 b 2) (+.f64 (.f64 -1 (+.f64 (.f64 a (-.f64 (.f64 -1 a) a)) (pow.f64 a 2))) (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 a) a) b)) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (pow.f64 a 3)) (+.f64 (.f64 -1 (.f64 a (+.f64 (.f64 a (-.f64 (.f64 -1 a) a)) (pow.f64 a 2)))) (.f64 (pow.f64 a 2) (-.f64 (.f64 -1 a) a)))) b)))))
(fma.f64 -1 (.f64 (.f64 a a) (+.f64 1 (neg.f64 (/.f64 (-.f64 b (neg.f64 b)) b)))) (fma.f64 a (-.f64 b (neg.f64 b)) (*.f64 b b)))
(fma.f64 b b (*.f64 a (+.f64 (+.f64 b b) a)))
(fma.f64 b (+.f64 b (+.f64 a a)) (*.f64 a a))
(pow.f64 b 4)
(+.f64 (*.f64 a (pow.f64 b 3)) (pow.f64 b 4))
(fma.f64 a (pow.f64 b 3) (pow.f64 b 4))
(*.f64 (pow.f64 b 3) (+.f64 b a))
(+.f64 (.f64 a (pow.f64 b 3)) (+.f64 (.f64 (pow.f64 a 3) b) (pow.f64 b 4)))
(fma.f64 a (pow.f64 b 3) (fma.f64 (pow.f64 a 3) b (pow.f64 b 4)))
(fma.f64 a (pow.f64 b 3) (fma.f64 b (pow.f64 a 3) (pow.f64 b 4)))
(+.f64 (.f64 a (pow.f64 b 3)) (+.f64 (.f64 (pow.f64 a 3) b) (+.f64 (pow.f64 a 4) (pow.f64 b 4))))
(fma.f64 a (pow.f64 b 3) (+.f64 (fma.f64 (pow.f64 a 3) b (pow.f64 b 4)) (pow.f64 a 4)))
(+.f64 (fma.f64 b (pow.f64 a 3) (pow.f64 a 4)) (fma.f64 a (pow.f64 b 3) (pow.f64 b 4)))
(+.f64 (.f64 (pow.f64 b 3) (+.f64 b a)) (.f64 (pow.f64 a 3) (+.f64 b a)))
(pow.f64 a 4)
(+.f64 (*.f64 (pow.f64 a 3) b) (pow.f64 a 4))
(fma.f64 (pow.f64 a 3) b (pow.f64 a 4))
(fma.f64 b (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 b a))
(+.f64 (.f64 a (pow.f64 b 3)) (+.f64 (.f64 (pow.f64 a 3) b) (pow.f64 a 4)))
(fma.f64 a (pow.f64 b 3) (fma.f64 (pow.f64 a 3) b (pow.f64 a 4)))
(fma.f64 a (pow.f64 b 3) (fma.f64 b (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 a (pow.f64 b 3) (*.f64 (pow.f64 a 3) (+.f64 b a)))
(+.f64 (.f64 a (pow.f64 b 3)) (+.f64 (.f64 (pow.f64 a 3) b) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(fma.f64 a (pow.f64 b 3) (+.f64 (fma.f64 (pow.f64 a 3) b (pow.f64 b 4)) (pow.f64 a 4)))
(+.f64 (fma.f64 b (pow.f64 a 3) (pow.f64 a 4)) (fma.f64 a (pow.f64 b 3) (pow.f64 b 4)))
(+.f64 (.f64 (pow.f64 b 3) (+.f64 b a)) (.f64 (pow.f64 a 3) (+.f64 b a)))
(pow.f64 a 4)
(+.f64 (*.f64 (pow.f64 a 3) b) (pow.f64 a 4))
(fma.f64 (pow.f64 a 3) b (pow.f64 a 4))
(fma.f64 b (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 b a))
(+.f64 (.f64 a (pow.f64 b 3)) (+.f64 (.f64 (pow.f64 a 3) b) (pow.f64 a 4)))
(fma.f64 a (pow.f64 b 3) (fma.f64 (pow.f64 a 3) b (pow.f64 a 4)))
(fma.f64 a (pow.f64 b 3) (fma.f64 b (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 a (pow.f64 b 3) (*.f64 (pow.f64 a 3) (+.f64 b a)))
(+.f64 (.f64 a (pow.f64 b 3)) (+.f64 (.f64 (pow.f64 a 3) b) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(fma.f64 a (pow.f64 b 3) (+.f64 (fma.f64 (pow.f64 a 3) b (pow.f64 b 4)) (pow.f64 a 4)))
(+.f64 (fma.f64 b (pow.f64 a 3) (pow.f64 a 4)) (fma.f64 a (pow.f64 b 3) (pow.f64 b 4)))
(+.f64 (.f64 (pow.f64 b 3) (+.f64 b a)) (.f64 (pow.f64 a 3) (+.f64 b a)))
(pow.f64 a 4)
(+.f64 (*.f64 (pow.f64 a 3) b) (pow.f64 a 4))
(fma.f64 (pow.f64 a 3) b (pow.f64 a 4))
(fma.f64 b (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 b a))
(+.f64 (.f64 a (pow.f64 b 3)) (+.f64 (.f64 (pow.f64 a 3) b) (pow.f64 a 4)))
(fma.f64 a (pow.f64 b 3) (fma.f64 (pow.f64 a 3) b (pow.f64 a 4)))
(fma.f64 a (pow.f64 b 3) (fma.f64 b (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 a (pow.f64 b 3) (*.f64 (pow.f64 a 3) (+.f64 b a)))
(+.f64 (.f64 a (pow.f64 b 3)) (+.f64 (.f64 (pow.f64 a 3) b) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(fma.f64 a (pow.f64 b 3) (+.f64 (fma.f64 (pow.f64 a 3) b (pow.f64 b 4)) (pow.f64 a 4)))
(+.f64 (fma.f64 b (pow.f64 a 3) (pow.f64 a 4)) (fma.f64 a (pow.f64 b 3) (pow.f64 b 4)))
(+.f64 (.f64 (pow.f64 b 3) (+.f64 b a)) (.f64 (pow.f64 a 3) (+.f64 b a)))
(pow.f64 b 4)
(+.f64 (*.f64 a (pow.f64 b 3)) (pow.f64 b 4))
(fma.f64 a (pow.f64 b 3) (pow.f64 b 4))
(*.f64 (pow.f64 b 3) (+.f64 b a))
(+.f64 (.f64 a (pow.f64 b 3)) (+.f64 (.f64 (pow.f64 a 3) b) (pow.f64 b 4)))
(fma.f64 a (pow.f64 b 3) (fma.f64 (pow.f64 a 3) b (pow.f64 b 4)))
(fma.f64 a (pow.f64 b 3) (fma.f64 b (pow.f64 a 3) (pow.f64 b 4)))
(+.f64 (.f64 a (pow.f64 b 3)) (+.f64 (.f64 (pow.f64 a 3) b) (+.f64 (pow.f64 a 4) (pow.f64 b 4))))
(fma.f64 a (pow.f64 b 3) (+.f64 (fma.f64 (pow.f64 a 3) b (pow.f64 b 4)) (pow.f64 a 4)))
(+.f64 (fma.f64 b (pow.f64 a 3) (pow.f64 a 4)) (fma.f64 a (pow.f64 b 3) (pow.f64 b 4)))
(+.f64 (.f64 (pow.f64 b 3) (+.f64 b a)) (.f64 (pow.f64 a 3) (+.f64 b a)))
(pow.f64 b 4)
(+.f64 (*.f64 a (pow.f64 b 3)) (pow.f64 b 4))
(fma.f64 a (pow.f64 b 3) (pow.f64 b 4))
(*.f64 (pow.f64 b 3) (+.f64 b a))
(+.f64 (.f64 a (pow.f64 b 3)) (+.f64 (.f64 (pow.f64 a 3) b) (pow.f64 b 4)))
(fma.f64 a (pow.f64 b 3) (fma.f64 (pow.f64 a 3) b (pow.f64 b 4)))
(fma.f64 a (pow.f64 b 3) (fma.f64 b (pow.f64 a 3) (pow.f64 b 4)))
(+.f64 (.f64 a (pow.f64 b 3)) (+.f64 (.f64 (pow.f64 a 3) b) (+.f64 (pow.f64 a 4) (pow.f64 b 4))))
(fma.f64 a (pow.f64 b 3) (+.f64 (fma.f64 (pow.f64 a 3) b (pow.f64 b 4)) (pow.f64 a 4)))
(+.f64 (fma.f64 b (pow.f64 a 3) (pow.f64 a 4)) (fma.f64 a (pow.f64 b 3) (pow.f64 b 4)))
(+.f64 (.f64 (pow.f64 b 3) (+.f64 b a)) (.f64 (pow.f64 a 3) (+.f64 b a)))

localize33.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 a (+.f64 a b))
✓	0.3b	(.f64 (.f64 a (+.f64 a b)) (*.f64 a (+.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))))
✓	0.5b	(.f64 (.f64 b (+.f64 a b)) (*.f64 b (+.f64 a b)))

Compiler

Compiled 108 to 10 computations (90.7% saved)

series17.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

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

rewrite125.0ms (2.5%)

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	54
1	292	27
2	5334	27

Stop Event

1×	node limit

Counts

3 → 148

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 b (+.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 b a) (*.f64 b (+.f64 b a))) (*.f64 (*.f64 b b) (*.f64 b (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b (*.f64 (+.f64 b a) (*.f64 b b))) (*.f64 a (*.f64 (+.f64 b a) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (*.f64 (+.f64 b a) (*.f64 b b))) (*.f64 b (*.f64 (+.f64 b a) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 b (+.f64 b a)) (*.f64 b a)) (*.f64 (*.f64 b (+.f64 b a)) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 b a) (*.f64 b b)) b) (*.f64 (*.f64 (+.f64 b a) (*.f64 b b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 b a) (*.f64 b b)) a) (*.f64 (*.f64 (+.f64 b a) (*.f64 b b)) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 b (+.f64 b a)) 2))) (cbrt.f64 (exp.f64 (pow.f64 (*.f64 b (+.f64 b a)) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 b (+.f64 b a)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 b (+.f64 b a)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 b (+.f64 b a)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 b (+.f64 b a)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 b a) (*.f64 b 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 (+.f64 b a) (*.f64 b b)) (-.f64 (*.f64 a a) (*.f64 b b))) (-.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (+.f64 b a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 b (+.f64 b a)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 b (+.f64 b a))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 b (+.f64 b a)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 b (+.f64 b a)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 b (+.f64 b a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 b (+.f64 b a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 b (+.f64 b a)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 b (+.f64 b a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 b (+.f64 b a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 b (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 b (+.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 b (+.f64 b a)))) 1))))))

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 a (+.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a a) (*.f64 a (+.f64 b a))) (*.f64 (*.f64 b a) (*.f64 a (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b (*.f64 (+.f64 b a) (*.f64 a a))) (*.f64 a (*.f64 (+.f64 b a) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (*.f64 (+.f64 b a) (*.f64 a a))) (*.f64 b (*.f64 (+.f64 b a) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a (+.f64 b a)) (*.f64 a a)) (*.f64 (*.f64 a (+.f64 b a)) (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 b a) (*.f64 a a)) b) (*.f64 (*.f64 (+.f64 b a) (*.f64 a a)) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 b a) (*.f64 a a)) a) (*.f64 (*.f64 (+.f64 b a) (*.f64 a a)) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 a (+.f64 b a)) 2))) (cbrt.f64 (exp.f64 (pow.f64 (*.f64 a (+.f64 b a)) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 a (+.f64 b a)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 a (+.f64 b a)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 a (+.f64 b a)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 a (+.f64 b a)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 b a) (*.f64 a a)) (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (fma.f64 a a (*.f64 b (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 b a) (*.f64 a a)) (-.f64 (*.f64 a a) (*.f64 b b))) (-.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (+.f64 b a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (+.f64 b a)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 b a))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (+.f64 b a)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (+.f64 b a)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 a (+.f64 b a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 a (+.f64 b a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (+.f64 b a)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 a (+.f64 b a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 a (+.f64 b a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 a (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (+.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 a (+.f64 b a)))) 1))))))

simplify137.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

681×	`distribute-lft-out_binary64`
676×	`associate-l_binary64`
543×	`distribute-rgt-out_binary64`
489×	`associate-r_binary64`
462×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	1158
1	92	1131
2	218	1011
3	710	882
4	3334	882
5	4593	882
6	5997	882
7	7420	882
8	7667	882
9	7971	882

Stop Event

1×	node limit

Counts

220 → 174

Calls

Call 1

Inputs
(*.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)))
(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 (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)))

Outputs
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(+.f64 (.f64 2 (.f64 a (pow.f64 b 3))) (*.f64 (pow.f64 a 2) (pow.f64 b 2)))
(fma.f64 2 (.f64 a (pow.f64 b 3)) (.f64 (.f64 a a) (.f64 b b)))
(.f64 (.f64 b b) (.f64 a (+.f64 a (.f64 2 b))))
(.f64 a (.f64 (*.f64 b b) (fma.f64 2 b a)))
(.f64 a (.f64 b (*.f64 b (fma.f64 2 b a))))
(+.f64 (.f64 2 (.f64 a (pow.f64 b 3))) (+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4)))
(fma.f64 2 (.f64 a (pow.f64 b 3)) (fma.f64 (.f64 a a) (*.f64 b b) (pow.f64 b 4)))
(fma.f64 (.f64 a 2) (pow.f64 b 3) (.f64 (.f64 b b) (fma.f64 a a (.f64 b b))))
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(.f64 (.f64 a a) (fma.f64 a (fma.f64 2 b a) (*.f64 b b)))
(.f64 a (.f64 a (fma.f64 a (fma.f64 2 b a) (*.f64 b 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 a a (.f64 b b))))
(fma.f64 a (.f64 a (.f64 b b)) (.f64 (pow.f64 a 3) (+.f64 (.f64 2 b) a)))
(.f64 (.f64 a a) (fma.f64 a (fma.f64 2 b a) (*.f64 b b)))
(.f64 a (.f64 a (fma.f64 a (fma.f64 2 b a) (*.f64 b b))))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(+.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 a a) (.f64 b b)))
(.f64 b (+.f64 (.f64 2 (pow.f64 a 3)) (.f64 a (.f64 a b))))
(.f64 (.f64 a a) (*.f64 b (fma.f64 a 2 b)))
(.f64 a (.f64 (*.f64 a b) (fma.f64 a 2 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 a a (.f64 b b))))
(fma.f64 a (.f64 a (.f64 b b)) (.f64 (pow.f64 a 3) (+.f64 (.f64 2 b) a)))
(.f64 (.f64 a a) (fma.f64 a (fma.f64 2 b a) (*.f64 b b)))
(.f64 a (.f64 a (fma.f64 a (fma.f64 2 b a) (*.f64 b 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 a a (.f64 b b))))
(fma.f64 a (.f64 a (.f64 b b)) (.f64 (pow.f64 a 3) (+.f64 (.f64 2 b) a)))
(.f64 (.f64 a a) (fma.f64 a (fma.f64 2 b a) (*.f64 b b)))
(.f64 a (.f64 a (fma.f64 a (fma.f64 2 b a) (*.f64 b b))))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(+.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 a a) (.f64 b b)))
(.f64 b (+.f64 (.f64 2 (pow.f64 a 3)) (.f64 a (.f64 a b))))
(.f64 (.f64 a a) (*.f64 b (fma.f64 a 2 b)))
(.f64 a (.f64 (*.f64 a b) (fma.f64 a 2 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 a a (.f64 b b))))
(fma.f64 a (.f64 a (.f64 b b)) (.f64 (pow.f64 a 3) (+.f64 (.f64 2 b) a)))
(.f64 (.f64 a a) (fma.f64 a (fma.f64 2 b a) (*.f64 b b)))
(.f64 a (.f64 a (fma.f64 a (fma.f64 2 b a) (*.f64 b 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 a a (.f64 b b))))
(fma.f64 a (.f64 a (.f64 b b)) (.f64 (pow.f64 a 3) (+.f64 (.f64 2 b) a)))
(.f64 (.f64 a a) (fma.f64 a (fma.f64 2 b a) (*.f64 b b)))
(.f64 a (.f64 a (fma.f64 a (fma.f64 2 b a) (*.f64 b b))))

eval258.0ms (5.2%)

Compiler: Compiled 20122 to 5108 computations (74.6% saved)

prune93.0ms (1.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	729	4	733
Fresh	0	0	0
Picked	1	0	1
Done	1	3	4
Total	731	7	738

Error

Counts

738 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(*.f64 b (+.f64 b (+.f64 a a)))
✓	0.0b	(+.f64 (.f64 b (+.f64 a b)) (.f64 a (+.f64 a b)))
▶	0.1b	(+.f64 (.f64 b (+.f64 a b)) (.f64 a b))
▶	0.0b	(+.f64 (+.f64 (.f64 a (+.f64 b a)) (.f64 b a)) (*.f64 b b))
✓	0.5b	(*.f64 b b)
✓	0.0b	(*.f64 (+.f64 a b) (+.f64 a b))
▶	0.0b	(fma.f64 b (+.f64 b (+.f64 a a)) (*.f64 a a))

Compiler

Compiled 74 to 38 computations (48.6% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 5 computations (73.7% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite50.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

808×	`pow1_binary64`
759×	`add-log-exp_binary64`
758×	`log1p-expm1-u_binary64`
758×	`expm1-log1p-u_binary64`
743×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	142	8
2	2330	8

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

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

simplify163.0ms (3.3%)

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

49 → 31

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))

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 24 to 6 computations (75% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite58.0ms (1.2%)

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))))))

simplify158.0ms (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

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))

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 40 to 8 computations (80% saved)

series5.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite79.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

535×	`log-prod_binary64`
486×	`pow-prod-down_binary64`
456×	`fma-neg_binary64`
284×	`pow2_binary64`
190×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	35
1	213	24
2	3431	24

Stop Event

1×	node limit

Counts

3 → 154

Calls

Call 1

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

Outputs

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

simplify214.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

947×	`sqr-pow_binary64`
826×	`fma-def_binary64`
556×	`fabs-mul_binary64`
539×	`cube-prod_binary64`
390×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	693
1	35	648
2	79	585
3	169	543
4	462	543
5	1672	543
6	3106	543
7	3450	543
8	3641	543
9	3889	543
10	4193	543
11	4588	543
12	5101	543
13	5681	543
14	6425	543
15	6978	543
16	7314	543
17	7642	543
18	7726	543
19	7754	543

Stop Event

1×	node limit

Counts

226 → 169

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

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 25 to 6 computations (76% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite57.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

869×	`pow1_binary64`
813×	`add-log-exp_binary64`
812×	`log1p-expm1-u_binary64`
812×	`expm1-log1p-u_binary64`
794×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	159	12
2	2525	12

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify173.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

947×	`sqr-pow_binary64`
615×	`fma-def_binary64`
553×	`fabs-mul_binary64`
539×	`cube-prod_binary64`
372×	`unswap-sqr_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	1562	216
6	2826	216
7	3098	216
8	3284	216
9	3528	216
10	3831	216
11	4224	216
12	4729	216
13	5307	216
14	6055	216
15	6607	216
16	6943	216
17	7263	216
18	7349	216
19	7379	216

Stop Event

1×	node limit

Counts

45 → 31

Calls

Call 1

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

eval63.0ms (1.3%)

Compiler: Compiled 4429 to 1418 computations (68% saved)

prune36.0ms (0.7%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	276	1	277
Fresh	0	0	0
Picked	0	1	1
Done	2	4	6
Total	278	6	284

Error

Counts

284 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(*.f64 b (+.f64 b (+.f64 a a)))
✓	0.1b	(+.f64 (.f64 b (+.f64 a b)) (.f64 a b))
✓	0.5b	(*.f64 b b)
▶	0.0b	(+.f64 (.f64 a (+.f64 (+.f64 a b) b)) (.f64 b b))
✓	0.0b	(*.f64 (+.f64 a b) (+.f64 a b))
✓	0.0b	(fma.f64 b (+.f64 b (+.f64 a a)) (*.f64 a a))

Compiler

Compiled 59 to 31 computations (47.5% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 33 to 7 computations (78.8% saved)

series8.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

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

rewrite99.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

894×	`fma-def_binary64`
498×	`log-prod_binary64`
392×	`fma-neg_binary64`
274×	`pow2_binary64`
186×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	31
1	196	31
2	3288	25

Stop Event

1×	node limit

Counts

3 → 229

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a a) (*.f64 a (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a a) (*.f64 (+.f64 b b) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a b) (*.f64 a (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (+.f64 a b)) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (fma.f64 b 2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a (+.f64 a b)) 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) (fma.f64 b 2 a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (fma.f64 b 2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (fma.f64 b 2 a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (fma.f64 b 2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (fma.f64 b 2 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 a b)) 3) (pow.f64 (*.f64 a b) 3)) (+.f64 (pow.f64 (*.f64 a (+.f64 a b)) 2) (-.f64 (pow.f64 (*.f64 a b) 2) (*.f64 (*.f64 a (+.f64 a b)) (*.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 a (+.f64 a b)) 2) (pow.f64 (*.f64 a b) 2)) (-.f64 (*.f64 a (+.f64 a b)) (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 a b) 3) (pow.f64 b 3)) a) (fma.f64 b (-.f64 b (+.f64 a b)) (pow.f64 (+.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (+.f64 a b) 2) (*.f64 b b)) a) (+.f64 a (-.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (+.f64 (pow.f64 (+.f64 a b) 3) (pow.f64 b 3))) (fma.f64 b (-.f64 b (+.f64 a b)) (pow.f64 (+.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (-.f64 (pow.f64 (+.f64 a b) 2) (*.f64 b b))) (+.f64 a (-.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (fma.f64 b 2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (fma.f64 b 2 a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (fma.f64 b 2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (fma.f64 b 2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (fma.f64 b 2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (fma.f64 b 2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (fma.f64 b 2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (fma.f64 b 2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 a b)) (exp.f64 (*.f64 a (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (fma.f64 b 2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (fma.f64 b 2 a))))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a (+.f64 a b)) (*.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 (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) a) (*.f64 a (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) a) (*.f64 (+.f64 b b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (+.f64 a b)) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) a) (*.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 a b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) b) (*.f64 a (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) a) (*.f64 a (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) a) (*.f64 (+.f64 b b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (+.f64 a b)) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) a) (*.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 a b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (+.f64 a b)) 1 (*.f64 (*.f64 a b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 a) 2) 2) (pow.f64 (cbrt.f64 a) 2) (*.f64 a (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 a) 2) 2) (pow.f64 (cbrt.f64 a) 2) (*.f64 (+.f64 b b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3/2) (sqrt.f64 a) (*.f64 a (+.f64 b b)))))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 a (fma.f64 b 2 a) (*.f64 b b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 a (fma.f64 b 2 a)) 2) (fma.f64 a (fma.f64 b 2 a) (neg.f64 (*.f64 b b)))) (/.f64 (pow.f64 b 4) (fma.f64 a (fma.f64 b 2 a) (neg.f64 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 a (fma.f64 b 2 a) (*.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 a (fma.f64 b 2 a) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a (fma.f64 b 2 a) (*.f64 b b))) (pow.f64 (cbrt.f64 (fma.f64 a (fma.f64 b 2 a) (*.f64 b b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 a (fma.f64 b 2 a) (*.f64 b b))) 2) (cbrt.f64 (fma.f64 a (fma.f64 b 2 a) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (fma.f64 b 2 a)))) (hypot.f64 b (sqrt.f64 (*.f64 a (fma.f64 b 2 a)))))))) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (fma.f64 a b (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a b) (sqrt.f64 a)) (sqrt.f64 a) (fma.f64 a b (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (*.f64 a (fma.f64 b 2 a)))))))

simplify393.0ms (8%)

Algorithm

1×	egg-herbie

Rules

947×	`sqr-pow_binary64`
614×	`fma-def_binary64`
553×	`fabs-mul_binary64`
539×	`cube-prod_binary64`
375×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	666
1	36	603
2	73	498
3	143	498
4	402	498
5	1548	498
6	2831	498
7	3103	498
8	3288	498
9	3532	498
10	3833	498
11	4228	498
12	4733	498
13	5309	498
14	6057	498
15	6605	498
16	6937	498
17	7265	498
18	7353	498
19	7383	498

Stop Event

1×	node limit

Counts

301 → 244

Calls

Call 1

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

eval77.0ms (1.6%)

Compiler: Compiled 4055 to 1574 computations (61.2% saved)

prune36.0ms (0.7%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	244	0	244
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	244	6	250

Error

Counts

250 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(*.f64 b (+.f64 b (+.f64 a a)))
✓	0.1b	(+.f64 (.f64 b (+.f64 a b)) (.f64 a b))
✓	0.5b	(*.f64 b b)
✓	0.0b	(+.f64 (.f64 a (+.f64 (+.f64 a b) b)) (.f64 b b))
✓	0.0b	(*.f64 (+.f64 a b) (+.f64 a b))
✓	0.0b	(fma.f64 b (+.f64 b (+.f64 a a)) (*.f64 a a))

Compiler

Compiled 59 to 31 computations (47.5% saved)

regimes29.0ms (0.6%)

Counts

10 → 1

Calls

Call 1

Inputs
(*.f64 b b)
(*.f64 b (+.f64 b (+.f64 a a)))
(*.f64 (+.f64 a b) (+.f64 a b))
(+.f64 (.f64 b (+.f64 a b)) (.f64 a b))
(+.f64 (.f64 a (+.f64 (+.f64 a b) b)) (.f64 b b))
(+.f64 (.f64 b (+.f64 a b)) (.f64 a (+.f64 a b)))
(+.f64 (+.f64 (.f64 a (+.f64 b a)) (.f64 b a)) (*.f64 b 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))))
(fma.f64 b (+.f64 b (+.f64 a a)) (*.f64 a a))
(/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 a b)) (fma.f64 a a (.f64 b (-.f64 b a))))

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

Calls

4 calls:

6.0ms	a
6.0ms	(+.f64 a b)
6.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
6.0ms	b

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 148 to 49 computations (66.9% saved)

regimes16.0ms (0.3%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
4.0ms	(+.f64 a b)
4.0ms	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 48 to 22 computations (54.2% saved)

regimes7.0ms (0.1%)

Accuracy

Total -0.4b remaining (-278.5%)

Threshold costs -0.4b (-278.5%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	b
3.0ms	a

Results

Error	Segments	Branch
0.1b	1	`a`
0.1b	1	`b`

Compiler

Compiled 18 to 10 computations (44.4% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	40
1	18	40

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 36 to 19 computations (47.2% saved)

soundness0.0ms (0%)

end38.0ms (0.8%)

Compiler: Compiled 56 to 25 computations (55.4% saved)

Details

analyze0.0ms (0%)

sample969.0ms (19.6%)

preprocess154.0ms (3.1%)

simplify11.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series3.0ms (0.1%)

rewrite189.0ms (3.8%)

simplify179.0ms (3.6%)

eval8.0ms (0.2%)

prune10.0ms (0.2%)

localize3.0ms (0.1%)

localize8.0ms (0.2%)

series7.0ms (0.1%)

rewrite81.0ms (1.6%)

simplify339.0ms (6.9%)

localize169.0ms (3.4%)

series12.0ms (0.2%)

rewrite235.0ms (4.8%)

simplify71.0ms (1.4%)

localize33.0ms (0.7%)

series17.0ms (0.3%)

rewrite125.0ms (2.5%)

simplify137.0ms (2.8%)

eval258.0ms (5.2%)

prune93.0ms (1.9%)

localize6.0ms (0.1%)

series3.0ms (0.1%)

rewrite50.0ms (1%)

simplify163.0ms (3.3%)

localize8.0ms (0.2%)

series3.0ms (0.1%)

rewrite58.0ms (1.2%)

simplify158.0ms (3.2%)

localize12.0ms (0.2%)

series5.0ms (0.1%)

rewrite79.0ms (1.6%)

simplify214.0ms (4.3%)

localize11.0ms (0.2%)

series2.0ms (0%)

rewrite57.0ms (1.2%)

simplify173.0ms (3.5%)

eval63.0ms (1.3%)

prune36.0ms (0.7%)

localize10.0ms (0.2%)

series8.0ms (0.2%)

rewrite99.0ms (2%)

simplify393.0ms (8%)

eval77.0ms (1.6%)

prune36.0ms (0.7%)

regimes29.0ms (0.6%)

regimes16.0ms (0.3%)

regimes7.0ms (0.1%)

simplify4.0ms (0.1%)

soundness0.0ms (0%)

end38.0ms (0.8%)

Profiling