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)

sample859.0ms (50.8%)

Results

732.0ms

8256×

body

256

valid

Bogosity

preprocess137.0ms (8.1%)

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)

simplify10.0ms (0.6%)

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)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 4 computations (71.4% saved)

series3.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite64.0ms (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)))))))

simplify46.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

696×	`distribute-rgt-in_binary64`
665×	`distribute-lft-in_binary64`
626×	`fma-def_binary64`
501×	`times-frac_binary64`
284×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	794
1	309	741
2	1357	594

Stop Event

1×	node limit

Counts

50 → 57

Calls

Call 1

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

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

eval12.0ms (0.7%)

Compiler: Compiled 897 to 318 computations (64.5% saved)

prune33.0ms (2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	53	4	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	5	58

Error

Counts

58 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (fma.f64 2 (.f64 b a) (.f64 b b)) (*.f64 a a))
✓	0.0b	(*.f64 (+.f64 a b) (+.f64 a b))
▶	0.1b	(.f64 b (+.f64 b (.f64 2 a)))
▶	0.5b	(*.f64 b b)
▶	0.9b	(exp.f64 (*.f64 (log.f64 (+.f64 a b)) 2))

Compiler

Compiled 46 to 28 computations (39.1% saved)

localize10.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (+.f64 a b))
✓	0.8b	(exp.f64 (*.f64 (log.f64 (+.f64 a b)) 2))

Compiler

Compiled 25 to 10 computations (60% saved)

series5.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

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

rewrite48.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

795×	`pow1_binary64`
738×	`add-log-exp_binary64`
737×	`log1p-expm1-u_binary64`
737×	`expm1-log1p-u_binary64`
722×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	165	13
2	2064	13

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

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

Outputs

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

simplify91.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

666×	`fma-def_binary64`
551×	`fma-neg_binary64`
400×	`distribute-rgt-in_binary64`
392×	`distribute-lft-in_binary64`
331×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	1736
1	541	1588
2	1801	1316
3	7488	1316

Stop Event

1×	node limit

Counts

104 → 156

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

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

localize3.0ms (0.2%)

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

localize7.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 12 computations (40% saved)

series3.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite42.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

818×	`pow1_binary64`
764×	`add-log-exp_binary64`
763×	`log1p-expm1-u_binary64`
763×	`expm1-log1p-u_binary64`
748×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	153	8
2	2092	8

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b b) (*.f64 a (*.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (*.f64 2 b)) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 b b) 1) (*.f64 (*.f64 a (*.f64 2 b)) 1))))) (#(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 a (*.f64 2 b)) 3)) (+.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 (*.f64 (*.f64 a (*.f64 2 b)) (*.f64 a (*.f64 2 b))) (*.f64 (*.f64 b b) (*.f64 a (*.f64 2 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a (*.f64 2 b)) (*.f64 a (*.f64 2 b)))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 b 3) (*.f64 8 (pow.f64 a 3))) b) (fma.f64 b b (*.f64 (*.f64 2 a) (-.f64 (*.f64 2 a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a a))) b) (+.f64 b (*.f64 -2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b (+.f64 (pow.f64 b 3) (*.f64 8 (pow.f64 a 3)))) (fma.f64 b b (*.f64 (*.f64 2 a) (-.f64 (*.f64 2 a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b (-.f64 (*.f64 b b) (*.f64 4 (*.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 (fma.f64 2 a b)) 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 a (*.f64 2 b)))))))

simplify39.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

350×	`fma-neg_binary64`
312×	`fma-def_binary64`
289×	`cancel-sign-sub-inv_binary64`
223×	`associate-+r+_binary64`
221×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	84	573
1	250	444
2	982	442
3	3663	442

Stop Event

1×	node limit

Counts

47 → 38

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))
(+.f64 (.f64 b b) (.f64 a (*.f64 2 b)))
(+.f64 (.f64 a (.f64 2 b)) (*.f64 b b))
(+.f64 (.f64 (.f64 b b) 1) (.f64 (.f64 a (*.f64 2 b)) 1))
(-.f64 (+.f64 1 (*.f64 b (fma.f64 2 a b))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 b b) 3) (pow.f64 (.f64 a (.f64 2 b)) 3)) (+.f64 (.f64 (.f64 b b) (.f64 b b)) (-.f64 (.f64 (.f64 a (.f64 2 b)) (.f64 a (.f64 2 b))) (.f64 (.f64 b b) (.f64 a (*.f64 2 b))))))
(/.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a (.f64 2 b)) (.f64 a (.f64 2 b)))) (-.f64 (.f64 b b) (.f64 a (*.f64 2 b))))
(/.f64 (.f64 (+.f64 (pow.f64 b 3) (.f64 8 (pow.f64 a 3))) b) (fma.f64 b b (.f64 (.f64 2 a) (-.f64 (*.f64 2 a) b))))
(/.f64 (.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a a))) b) (+.f64 b (*.f64 -2 a)))
(/.f64 (.f64 b (+.f64 (pow.f64 b 3) (.f64 8 (pow.f64 a 3)))) (fma.f64 b b (.f64 (.f64 2 a) (-.f64 (*.f64 2 a) b))))
(/.f64 (.f64 b (-.f64 (.f64 b b) (.f64 4 (.f64 a a)))) (+.f64 b (*.f64 -2 a)))
(pow.f64 (*.f64 b (fma.f64 2 a b)) 1)
(pow.f64 (pow.f64 (*.f64 b (fma.f64 2 a b)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 b (fma.f64 2 a b))) 3)
(pow.f64 (sqrt.f64 (*.f64 b (fma.f64 2 a b))) 2)
(sqrt.f64 (pow.f64 (*.f64 b (fma.f64 2 a b)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 2 a b)) b))
(cbrt.f64 (pow.f64 (*.f64 b (fma.f64 2 a b)) 3))
(cbrt.f64 (*.f64 (pow.f64 b 3) (pow.f64 (fma.f64 2 a b) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 2 a b) 3) (pow.f64 b 3)))
(expm1.f64 (log1p.f64 (*.f64 b (fma.f64 2 a b))))
(log1p.f64 (expm1.f64 (*.f64 b (fma.f64 2 a b))))
(exp.f64 (log.f64 (*.f64 b (fma.f64 2 a b))))
(fma.f64 b b (.f64 a (.f64 2 b)))

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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (fma.f64 2 a b))
(+.f64 (.f64 b b) (.f64 a (*.f64 2 b)))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(+.f64 (.f64 a (.f64 2 b)) (*.f64 b b))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(+.f64 (.f64 (.f64 b b) 1) (.f64 (.f64 a (*.f64 2 b)) 1))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(-.f64 (+.f64 1 (*.f64 b (fma.f64 2 a b))) 1)
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(/.f64 (+.f64 (pow.f64 (.f64 b b) 3) (pow.f64 (.f64 a (.f64 2 b)) 3)) (+.f64 (.f64 (.f64 b b) (.f64 b b)) (-.f64 (.f64 (.f64 a (.f64 2 b)) (.f64 a (.f64 2 b))) (.f64 (.f64 b b) (.f64 a (*.f64 2 b))))))
(/.f64 (+.f64 (pow.f64 (.f64 b b) 3) (pow.f64 (.f64 2 (.f64 a b)) 3)) (+.f64 (.f64 b (pow.f64 b 3)) (.f64 (.f64 2 (.f64 a b)) (-.f64 (.f64 2 (.f64 a b)) (.f64 b b)))))
(/.f64 (+.f64 (pow.f64 b 6) (pow.f64 (.f64 b (.f64 2 a)) 3)) (fma.f64 (.f64 b (.f64 2 a)) (.f64 b (-.f64 (.f64 2 a) b)) (pow.f64 b 4)))
(/.f64 (fma.f64 8 (pow.f64 (.f64 a b) 3) (pow.f64 b 6)) (fma.f64 a (.f64 (.f64 2 b) (.f64 b (-.f64 (*.f64 2 a) b))) (pow.f64 b 4)))
(/.f64 (fma.f64 8 (pow.f64 (.f64 a b) 3) (pow.f64 b 6)) (-.f64 (pow.f64 b 4) (.f64 (.f64 b (.f64 2 a)) (*.f64 b (fma.f64 a -2 b)))))
(/.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a (.f64 2 b)) (.f64 a (.f64 2 b)))) (-.f64 (.f64 b b) (.f64 a (*.f64 2 b))))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(/.f64 (.f64 (+.f64 (pow.f64 b 3) (.f64 8 (pow.f64 a 3))) b) (fma.f64 b b (.f64 (.f64 2 a) (-.f64 (*.f64 2 a) b))))
(/.f64 b (/.f64 (fma.f64 b b (.f64 2 (.f64 a (-.f64 (.f64 2 a) b)))) (+.f64 (pow.f64 b 3) (.f64 8 (pow.f64 a 3)))))
(.f64 (/.f64 b (fma.f64 b b (.f64 2 (.f64 a (-.f64 (.f64 2 a) b))))) (fma.f64 8 (pow.f64 a 3) (pow.f64 b 3)))
(.f64 b (/.f64 (fma.f64 8 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 (.f64 4 (.f64 a a)) (.f64 b (fma.f64 a -2 b)))))
(.f64 b (/.f64 (fma.f64 8 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 (.f64 b (fma.f64 a -2 b)) (.f64 4 (.f64 a a)))))
(/.f64 (.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a a))) b) (+.f64 b (*.f64 -2 a)))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(/.f64 (.f64 b (+.f64 (pow.f64 b 3) (.f64 8 (pow.f64 a 3)))) (fma.f64 b b (.f64 (.f64 2 a) (-.f64 (*.f64 2 a) b))))
(/.f64 b (/.f64 (fma.f64 b b (.f64 2 (.f64 a (-.f64 (.f64 2 a) b)))) (+.f64 (pow.f64 b 3) (.f64 8 (pow.f64 a 3)))))
(.f64 (/.f64 b (fma.f64 b b (.f64 2 (.f64 a (-.f64 (.f64 2 a) b))))) (fma.f64 8 (pow.f64 a 3) (pow.f64 b 3)))
(.f64 b (/.f64 (fma.f64 8 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 (.f64 4 (.f64 a a)) (.f64 b (fma.f64 a -2 b)))))
(.f64 b (/.f64 (fma.f64 8 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 (.f64 b (fma.f64 a -2 b)) (.f64 4 (.f64 a a)))))
(/.f64 (.f64 b (-.f64 (.f64 b b) (.f64 4 (.f64 a a)))) (+.f64 b (*.f64 -2 a)))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(pow.f64 (*.f64 b (fma.f64 2 a b)) 1)
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(pow.f64 (pow.f64 (*.f64 b (fma.f64 2 a b)) 3) 1/3)
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(pow.f64 (cbrt.f64 (*.f64 b (fma.f64 2 a b))) 3)
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(pow.f64 (sqrt.f64 (*.f64 b (fma.f64 2 a b))) 2)
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(sqrt.f64 (pow.f64 (*.f64 b (fma.f64 2 a b)) 2))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(log.f64 (pow.f64 (exp.f64 (fma.f64 2 a b)) b))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(cbrt.f64 (pow.f64 (*.f64 b (fma.f64 2 a b)) 3))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(cbrt.f64 (*.f64 (pow.f64 b 3) (pow.f64 (fma.f64 2 a b) 3)))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 2 a b) 3) (pow.f64 b 3)))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(expm1.f64 (log1p.f64 (*.f64 b (fma.f64 2 a b))))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(log1p.f64 (expm1.f64 (*.f64 b (fma.f64 2 a b))))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(exp.f64 (log.f64 (*.f64 b (fma.f64 2 a b))))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))
(fma.f64 b b (.f64 a (.f64 2 b)))
(fma.f64 2 (.f64 a b) (.f64 b b))
(*.f64 b (fma.f64 2 a b))

localize12.0ms (0.7%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 34 to 11 computations (67.6% saved)

series4.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite40.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

619×	`pow1_binary64`
568×	`add-log-exp_binary64`
568×	`log1p-expm1-u_binary64`
568×	`expm1-log1p-u_binary64`
555×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	139	11
2	1583	11

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify35.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

626×	`associate-/l*_binary64`
448×	`distribute-rgt-in_binary64`
428×	`distribute-lft-in_binary64`
359×	`associate-/r*_binary64`
316×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	529
1	159	479
2	680	401
3	2673	381

Stop Event

1×	node limit

Counts

45 → 38

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

Outputs
(.f64 2 (.f64 a b))
(.f64 (.f64 2 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 b (.f64 2 a)))
(*.f64 b (fma.f64 2 a b))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(fma.f64 2 (.f64 a b) (.f64 b b))
(.f64 b (+.f64 b (.f64 2 a)))
(*.f64 b (fma.f64 2 a b))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(fma.f64 2 (.f64 a b) (.f64 b b))
(.f64 b (+.f64 b (.f64 2 a)))
(*.f64 b (fma.f64 2 a b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(fma.f64 2 (.f64 a b) (.f64 b b))
(.f64 b (+.f64 b (.f64 2 a)))
(*.f64 b (fma.f64 2 a b))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(fma.f64 2 (.f64 a b) (.f64 b b))
(.f64 b (+.f64 b (.f64 2 a)))
(*.f64 b (fma.f64 2 a b))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(fma.f64 2 (.f64 a b) (.f64 b b))
(.f64 b (+.f64 b (.f64 2 a)))
(*.f64 b (fma.f64 2 a b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(fma.f64 2 (.f64 a b) (.f64 b b))
(.f64 b (+.f64 b (.f64 2 a)))
(*.f64 b (fma.f64 2 a b))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(fma.f64 2 (.f64 a b) (.f64 b b))
(.f64 b (+.f64 b (.f64 2 a)))
(*.f64 b (fma.f64 2 a b))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(fma.f64 2 (.f64 a b) (.f64 b b))
(.f64 b (+.f64 b (.f64 2 a)))
(*.f64 b (fma.f64 2 a b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(fma.f64 2 (.f64 a b) (.f64 b b))
(.f64 b (+.f64 b (.f64 2 a)))
(*.f64 b (fma.f64 2 a b))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(fma.f64 2 (.f64 a b) (.f64 b b))
(.f64 b (+.f64 b (.f64 2 a)))
(*.f64 b (fma.f64 2 a b))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(fma.f64 2 (.f64 a b) (.f64 b b))
(.f64 b (+.f64 b (.f64 2 a)))
(*.f64 b (fma.f64 2 a b))
(.f64 2 (.f64 a b))
(.f64 (.f64 2 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 b (.f64 2 a)))
(*.f64 b (fma.f64 2 a b))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(fma.f64 2 (.f64 a b) (.f64 b b))
(.f64 b (+.f64 b (.f64 2 a)))
(*.f64 b (fma.f64 2 a b))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(fma.f64 2 (.f64 a b) (.f64 b b))
(.f64 b (+.f64 b (.f64 2 a)))
(*.f64 b (fma.f64 2 a b))
(.f64 2 (.f64 a b))
(.f64 (.f64 2 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 b (.f64 2 a)))
(*.f64 b (fma.f64 2 a b))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(fma.f64 2 (.f64 a b) (.f64 b b))
(.f64 b (+.f64 b (.f64 2 a)))
(*.f64 b (fma.f64 2 a b))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(fma.f64 2 (.f64 a b) (.f64 b b))
(.f64 b (+.f64 b (.f64 2 a)))
(*.f64 b (fma.f64 2 a b))
(+.f64 (.f64 b b) (.f64 2 (*.f64 b a)))
(fma.f64 2 (.f64 a b) (.f64 b b))
(.f64 b (+.f64 b (.f64 2 a)))
(*.f64 b (fma.f64 2 a b))
(+.f64 (.f64 2 (.f64 b a)) (*.f64 b b))
(fma.f64 2 (.f64 a b) (.f64 b b))
(.f64 b (+.f64 b (.f64 2 a)))
(*.f64 b (fma.f64 2 a b))
(+.f64 (.f64 (.f64 2 (.f64 b a)) 1) (.f64 b b))
(fma.f64 2 (.f64 a b) (.f64 b b))
(.f64 b (+.f64 b (.f64 2 a)))
(*.f64 b (fma.f64 2 a b))
(-.f64 (+.f64 1 (fma.f64 2 (.f64 b a) (.f64 b b))) 1)
(fma.f64 2 (.f64 a b) (.f64 b b))
(.f64 b (+.f64 b (.f64 2 a)))
(*.f64 b (fma.f64 2 a b))
(.f64 (fma.f64 2 (.f64 b a) (*.f64 b b)) 1)
(fma.f64 2 (.f64 a b) (.f64 b b))
(.f64 b (+.f64 b (.f64 2 a)))
(*.f64 b (fma.f64 2 a b))
(.f64 1 (fma.f64 2 (.f64 b a) (*.f64 b b)))
(fma.f64 2 (.f64 a b) (.f64 b b))
(.f64 b (+.f64 b (.f64 2 a)))
(*.f64 b (fma.f64 2 a b))
(.f64 (cbrt.f64 (fma.f64 2 (.f64 b a) (.f64 b b))) (pow.f64 (cbrt.f64 (fma.f64 2 (.f64 b a) (*.f64 b b))) 2))
(fma.f64 2 (.f64 a b) (.f64 b b))
(.f64 b (+.f64 b (.f64 2 a)))
(*.f64 b (fma.f64 2 a b))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (.f64 b a) (.f64 b b))) 2) (cbrt.f64 (fma.f64 2 (.f64 b a) (*.f64 b b))))
(fma.f64 2 (.f64 a b) (.f64 b b))
(.f64 b (+.f64 b (.f64 2 a)))
(*.f64 b (fma.f64 2 a b))
(.f64 (sqrt.f64 (fma.f64 2 (.f64 b a) (.f64 b b))) (sqrt.f64 (fma.f64 2 (.f64 b a) (*.f64 b b))))
(fma.f64 2 (.f64 a b) (.f64 b b))
(.f64 b (+.f64 b (.f64 2 a)))
(*.f64 b (fma.f64 2 a b))
(/.f64 (+.f64 (pow.f64 (.f64 2 (.f64 b a)) 3) (pow.f64 (.f64 b b) 3)) (+.f64 (.f64 (.f64 2 (.f64 b a)) (.f64 2 (.f64 b a))) (-.f64 (pow.f64 b 4) (.f64 (.f64 2 (.f64 b a)) (.f64 b b)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 2 a) b) 3) (pow.f64 (.f64 b b) 3)) (+.f64 (.f64 4 (.f64 (.f64 a b) (.f64 a b))) (-.f64 (pow.f64 b 4) (.f64 (.f64 b b) (.f64 (*.f64 2 a) b)))))
(/.f64 (fma.f64 8 (pow.f64 (.f64 a b) 3) (pow.f64 b 6)) (-.f64 (fma.f64 (.f64 (.f64 a b) 4) (.f64 a b) (pow.f64 b 4)) (.f64 (.f64 2 a) (pow.f64 b 3))))
(/.f64 (fma.f64 8 (pow.f64 (.f64 a b) 3) (pow.f64 b 6)) (-.f64 (pow.f64 b 4) (.f64 (.f64 b (.f64 2 a)) (.f64 b (-.f64 b (.f64 2 a))))))
(/.f64 (fma.f64 8 (pow.f64 (.f64 a b) 3) (pow.f64 b 6)) (+.f64 (pow.f64 b 4) (.f64 (.f64 (.f64 b b) (.f64 2 a)) (-.f64 (.f64 2 a) b))))
(/.f64 (-.f64 (.f64 (.f64 2 (.f64 b a)) (.f64 2 (.f64 b a))) (pow.f64 b 4)) (-.f64 (.f64 2 (.f64 b a)) (.f64 b b)))
(/.f64 (-.f64 (.f64 4 (.f64 (.f64 a b) (.f64 a b))) (pow.f64 b 4)) (-.f64 (.f64 (.f64 2 a) b) (*.f64 b b)))
(/.f64 (-.f64 (.f64 (.f64 a b) (.f64 (.f64 a b) 4)) (pow.f64 b 4)) (.f64 b (-.f64 (.f64 2 a) b)))
(/.f64 (-.f64 (.f64 (.f64 b b) (.f64 4 (.f64 a a))) (pow.f64 b 4)) (.f64 b (-.f64 (.f64 2 a) b)))
(/.f64 (fma.f64 2 a b) (/.f64 1 b))
(pow.f64 (fma.f64 2 (.f64 b a) (.f64 b b)) 1)
(fma.f64 2 (.f64 a b) (.f64 b b))
(.f64 b (+.f64 b (.f64 2 a)))
(*.f64 b (fma.f64 2 a b))
(pow.f64 (pow.f64 (fma.f64 2 (.f64 b a) (.f64 b b)) 3) 1/3)
(fma.f64 2 (.f64 a b) (.f64 b b))
(.f64 b (+.f64 b (.f64 2 a)))
(*.f64 b (fma.f64 2 a b))
(pow.f64 (cbrt.f64 (fma.f64 2 (.f64 b a) (.f64 b b))) 3)
(fma.f64 2 (.f64 a b) (.f64 b b))
(.f64 b (+.f64 b (.f64 2 a)))
(*.f64 b (fma.f64 2 a b))
(pow.f64 (sqrt.f64 (fma.f64 2 (.f64 b a) (.f64 b b))) 2)
(fma.f64 2 (.f64 a b) (.f64 b b))
(.f64 b (+.f64 b (.f64 2 a)))
(*.f64 b (fma.f64 2 a b))
(sqrt.f64 (pow.f64 (fma.f64 2 (.f64 b a) (.f64 b b)) 2))
(fma.f64 2 (.f64 a b) (.f64 b b))
(.f64 b (+.f64 b (.f64 2 a)))
(*.f64 b (fma.f64 2 a b))
(log.f64 (exp.f64 (fma.f64 2 (.f64 b a) (.f64 b b))))
(fma.f64 2 (.f64 a b) (.f64 b b))
(.f64 b (+.f64 b (.f64 2 a)))
(*.f64 b (fma.f64 2 a b))
(cbrt.f64 (pow.f64 (fma.f64 2 (.f64 b a) (.f64 b b)) 3))
(fma.f64 2 (.f64 a b) (.f64 b b))
(.f64 b (+.f64 b (.f64 2 a)))
(*.f64 b (fma.f64 2 a b))
(expm1.f64 (log1p.f64 (fma.f64 2 (.f64 b a) (.f64 b b))))
(fma.f64 2 (.f64 a b) (.f64 b b))
(.f64 b (+.f64 b (.f64 2 a)))
(*.f64 b (fma.f64 2 a b))
(log1p.f64 (expm1.f64 (fma.f64 2 (.f64 b a) (.f64 b b))))
(fma.f64 2 (.f64 a b) (.f64 b b))
(.f64 b (+.f64 b (.f64 2 a)))
(*.f64 b (fma.f64 2 a b))
(exp.f64 (log.f64 (fma.f64 2 (.f64 b a) (.f64 b b))))
(fma.f64 2 (.f64 a b) (.f64 b b))
(.f64 b (+.f64 b (.f64 2 a)))
(*.f64 b (fma.f64 2 a b))

eval60.0ms (3.5%)

Compiler: Compiled 3658 to 1887 computations (48.4% saved)

prune36.0ms (2.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	230	2	232
Fresh	0	0	0
Picked	1	0	1
Done	1	3	4
Total	232	5	237

Error

Counts

237 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(fma.f64 b b (.f64 a (.f64 2 b)))
▶	0.0b	(+.f64 (.f64 b (+.f64 b (.f64 2 a))) (*.f64 a a))
✓	0.0b	(*.f64 (+.f64 a b) (+.f64 a b))
✓	0.1b	(.f64 b (+.f64 b (.f64 2 a)))
✓	0.5b	(*.f64 b b)

Compiler

Compiled 46 to 27 computations (41.3% saved)

localize12.0ms (0.7%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 34 to 18 computations (47.1% saved)

localize8.0ms (0.5%)

Compiler: Compiled 21 to 12 computations (42.9% saved)

eval11.0ms (0.6%)

Compiler: Compiled 714 to 373 computations (47.8% saved)

prune8.0ms (0.5%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	38	5	43

Error

Counts

43 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 b b (.f64 a (.f64 2 b)))
✓	0.0b	(+.f64 (.f64 b (+.f64 b (.f64 2 a))) (*.f64 a a))
✓	0.0b	(*.f64 (+.f64 a b) (+.f64 a b))
✓	0.1b	(.f64 b (+.f64 b (.f64 2 a)))
✓	0.5b	(*.f64 b b)

Compiler

Compiled 46 to 27 computations (41.3% saved)

regimes20.0ms (1.2%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	(+.f64 a b)
5.0ms	(*.f64 (+.f64 a b) (+.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 77 to 38 computations (50.6% saved)

regimes6.0ms (0.3%)

Accuracy

Total -0.5b remaining (-638.3%)

Threshold costs -0.5b (-638.3%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	b
2.0ms	a

Results

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

Compiler

Compiled 18 to 11 computations (38.9% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	14	24

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 23 to 13 computations (43.5% saved)

soundness0.0ms (0%)

end20.0ms (1.2%)

Remove: (sort a b)
Compiler: Compiled 37 to 17 computations (54.1% saved)

Details

analyze0.0ms (0%)

sample859.0ms (50.8%)

preprocess137.0ms (8.1%)

simplify10.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.3%)

series3.0ms (0.2%)

rewrite64.0ms (3.8%)

simplify46.0ms (2.7%)

eval12.0ms (0.7%)

prune33.0ms (2%)

localize10.0ms (0.6%)

series5.0ms (0.3%)

rewrite48.0ms (2.8%)

simplify91.0ms (5.4%)

localize3.0ms (0.2%)

localize7.0ms (0.4%)

series3.0ms (0.2%)

rewrite42.0ms (2.5%)

simplify39.0ms (2.3%)

localize12.0ms (0.7%)

series4.0ms (0.2%)

rewrite40.0ms (2.4%)

simplify35.0ms (2.1%)

eval60.0ms (3.5%)

prune36.0ms (2.1%)

localize12.0ms (0.7%)

localize8.0ms (0.5%)

eval11.0ms (0.6%)

prune8.0ms (0.5%)

regimes20.0ms (1.2%)

regimes6.0ms (0.3%)

simplify3.0ms (0.2%)

soundness0.0ms (0%)

end20.0ms (1.2%)

Profiling