Details

analyze1.0ms (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)

sample1.9s (27.8%)

Results

1.8s

8256×

body

256

valid

Bogosity

preprocess20.0ms (0.3%)

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 (0.2%)

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)

localize4.0ms (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%)

Counts

1 → 24

Calls

6 calls:

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

rewrite48.0ms (0.7%)

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)))))))

simplify173.0ms (2.6%)

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))

eval7.0ms (0.1%)

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

prune11.0ms (0.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	30	6	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	7	37

Error

Counts

37 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(*.f64 b b)
▶	0.9b	(exp.f64 (*.f64 (log.f64 (+.f64 a b)) 2))
▶	0.0b	(+.f64 (.f64 b (+.f64 a b)) (.f64 a (+.f64 a b)))
✓	0.0b	(*.f64 (+.f64 a b) (+.f64 a b))
▶	0.1b	(/.f64 (.f64 (-.f64 (.f64 a a) (*.f64 b b)) (+.f64 a b)) (-.f64 a b))
▶	0.0b	(*.f64 b (fma.f64 2 a b))
	0.9b	(expm1.f64 (log1p.f64 (pow.f64 (+.f64 a b) 2)))

Compiler

Compiled 131 to 78 computations (40.5% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 28 to 6 computations (78.6% saved)

series9.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite82.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 235

Calls

Call 1

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

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

Outputs

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

simplify185.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	630
1	38	567
2	87	522
3	183	516
4	500	516
5	1786	516
6	3377	516
7	3793	516
8	3985	516
9	4237	516
10	4540	516
11	4937	516
12	5450	516
13	6030	516
14	6776	516
15	7328	516
16	7666	516
17	7988	516

Stop Event

1×	node limit

Counts

307 → 250

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 (.f64 a a) (*.f64 b b)) (+.f64 a b))
✓	0.3b	(/.f64 (.f64 (-.f64 (.f64 a a) (*.f64 b b)) (+.f64 a b)) (-.f64 a b))

Compiler

Compiled 49 to 9 computations (81.6% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite117.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

843×	`fma-def_binary64`
683×	`log-prod_binary64`
316×	`fma-neg_binary64`
219×	`log-div_binary64`
211×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	244	20
2	4132	20

Stop Event

1×	node limit

Counts

2 → 174

Calls

Call 1

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

simplify68.0ms (1%)

Algorithm

1×	egg-herbie

Rules

663×	`times-frac_binary64`
521×	`associate-+l+_binary64`
369×	`associate-l_binary64`
315×	`associate-r_binary64`
275×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	118	1059
1	442	752
2	1872	651

Stop Event

1×	node limit

Counts

222 → 213

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

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

localize14.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 8 computations (46.7% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	b	@	0	(*.f64 b (fma.f64 2 a b))
1.0ms	b	@	-inf	(*.f64 b (fma.f64 2 a b))
1.0ms	a	@	-inf	(*.f64 b (fma.f64 2 a b))
0.0ms	a	@	0	(*.f64 b (fma.f64 2 a b))
0.0ms	b	@	inf	(*.f64 b (fma.f64 2 a b))

rewrite44.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

Outputs

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

simplify160.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

37 → 19

Calls

Call 1

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

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

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (+.f64 a b))
✓	0.9b	(exp.f64 (*.f64 (log.f64 (+.f64 a b)) 2))

Compiler

Compiled 25 to 10 computations (60% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite60.0ms (0.9%)

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))))))))

simplify47.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

774×	`associate-/l*_binary64`
559×	`associate-/r*_binary64`
468×	`fma-neg_binary64`
446×	`associate-*l/_binary64`
393×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	762
1	222	681
2	634	618
3	2164	606

Stop Event

1×	node limit

Counts

104 → 96

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)))))

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

eval153.0ms (2.3%)

Compiler: Compiled 10414 to 3352 computations (67.8% saved)

prune240.0ms (3.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	574	4	578
Fresh	1	0	1
Picked	1	0	1
Done	2	3	5
Total	578	7	585

Error

Counts

585 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(*.f64 b (+.f64 b (+.f64 a a)))
▶	0.0b	(fma.f64 (+.f64 b a) b (*.f64 a (+.f64 b a)))
✓	0.0b	(+.f64 (.f64 b (+.f64 a b)) (.f64 a (+.f64 a b)))
▶	0.0b	(.f64 (/.f64 (-.f64 (.f64 a a) (*.f64 b b)) 1) (/.f64 (+.f64 a b) (-.f64 a b)))
✓	0.0b	(*.f64 (+.f64 a b) (+.f64 a b))
✓	0.5b	(*.f64 b b)
▶	1.3b	(exp.f64 (*.f64 (log.f64 b) 2))

Compiler

Compiled 74 to 40 computations (45.9% saved)

localize18.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.9b	(exp.f64 (*.f64 (log.f64 b) 2))

Compiler

Compiled 15 to 9 computations (40% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite56.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

457×	`pow1_binary64`
441×	`add-sqr-sqrt_binary64`
434×	`*-un-lft-identity_binary64`
420×	`add-log-exp_binary64`
420×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	4
1	115	4
2	1227	4

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify167.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1366×	`sqr-pow_binary64`
695×	`pow-sqr_binary64`
617×	`cube-prod_binary64`
612×	`fabs-mul_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	48
1	9	48
2	16	48
3	27	48
4	53	48
5	147	48
6	558	48
7	1404	48
8	1568	48
9	1752	48
10	1960	48
11	2251	48
12	2646	48
13	3127	48
14	3693	48
15	4385	48
16	5226	48
17	5620	48
18	5906	48
19	6186	48
20	6258	48
21	6292	48
22	7233	48

Stop Event

1×	node limit

Counts

36 → 24

Calls

Call 1

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

Outputs
(pow.f64 b 2)
(*.f64 b b)
(pow.f64 b 2)
(*.f64 b b)
(pow.f64 b 2)
(*.f64 b b)
(pow.f64 b 2)
(*.f64 b b)
(pow.f64 b 2)
(*.f64 b b)
(pow.f64 b 2)
(*.f64 b b)
(pow.f64 b 2)
(*.f64 b b)
(pow.f64 b 2)
(*.f64 b b)
(pow.f64 b 2)
(*.f64 b b)
(pow.f64 b 2)
(*.f64 b b)
(pow.f64 b 2)
(*.f64 b b)
(pow.f64 b 2)
(*.f64 b b)

localize12.0ms (0.2%)

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)

series4.0ms (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)))
1.0ms	a	@	-inf	(*.f64 b (+.f64 b (+.f64 a a)))
1.0ms	a	@	0	(*.f64 b (+.f64 b (+.f64 a a)))
1.0ms	b	@	inf	(*.f64 b (+.f64 b (+.f64 a a)))

rewrite69.0ms (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)))))))

simplify171.0ms (2.6%)

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))

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 a b) (-.f64 a b))
✓	0.0b	(.f64 (/.f64 (-.f64 (.f64 a a) (*.f64 b b)) 1) (/.f64 (+.f64 a b) (-.f64 a b)))

Compiler

Compiled 57 to 14 computations (75.4% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite91.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

764×	`fma-def_binary64`
672×	`log-prod_binary64`
301×	`fma-neg_binary64`
300×	`log-div_binary64`
217×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	32
1	286	17
2	4258	17

Stop Event

1×	node limit

Counts

2 → 179

Calls

Call 1

Inputs
(.f64 (/.f64 (-.f64 (.f64 a a) (*.f64 b b)) 1) (/.f64 (+.f64 a b) (-.f64 a b)))
(/.f64 (+.f64 a b) (-.f64 a b))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 a b) 2) (*.f64 (fma.f64 b (neg.f64 b) (*.f64 b b)) (/.f64 (+.f64 a b) (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 a b) 2) (*.f64 (/.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 b (neg.f64 b) (*.f64 b 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 a (+.f64 a b)) (*.f64 b (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a a) (/.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (*.f64 b (neg.f64 b)) (/.f64 (+.f64 a b) (-.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 (/.f64 (+.f64 a b) (-.f64 a 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simplify63.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

661×	`associate-/l*_binary64`
564×	`associate-/r*_binary64`
392×	`fma-neg_binary64`
378×	`associate-l_binary64`
374×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	167	1163
1	612	830
2	2603	647

Stop Event

1×	node limit

Counts

227 → 229

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 5 computations (77.3% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite71.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`pow1_binary64`
690×	`add-log-exp_binary64`
690×	`log1p-expm1-u_binary64`
690×	`expm1-log1p-u_binary64`
674×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	21
1	133	14
2	1950	14

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

Outputs

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

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

simplify202.0ms (3%)

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

106 → 71

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))

eval88.0ms (1.3%)

Compiler: Compiled 6996 to 2163 computations (69.1% saved)

prune54.0ms (0.8%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	352	3	355
Fresh	0	0	0
Picked	1	0	1
Done	2	4	6
Total	355	7	362

Error

Counts

362 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(*.f64 (+.f64 a b) (+.f64 a b))
▶	0.0b	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (/.f64 (-.f64 a b) (+.f64 a b)))
✓	0.0b	(+.f64 (.f64 b (+.f64 a b)) (.f64 a (+.f64 a b)))
▶	0.0b	(fma.f64 (+.f64 b a) b (*.f64 a b))
✓	0.0b	(*.f64 b (+.f64 b (+.f64 a a)))
✓	0.5b	(*.f64 b b)
▶	0.4b	(/.f64 (/.f64 (+.f64 a b) (-.f64 a b)) (/.f64 (/.f64 1 (+.f64 a b)) (-.f64 a b)))

Compiler

Compiled 82 to 41 computations (50% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 45 to 9 computations (80% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite96.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

737×	`log-prod_binary64`
721×	`fma-def_binary64`
346×	`fma-neg_binary64`
281×	`log-div_binary64`
219×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	249	17
2	4264	17

Stop Event

1×	node limit

Counts

2 → 135

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 a (+.f64 a b)) (neg.f64 (/.f64 b (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 a b) (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 a b) (+.f64 a b)))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 a b) (+.f64 a b)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 a b) (+.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 a b) (+.f64 a b))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 a b) (+.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 (exp.f64 (log1p.f64 (/.f64 (-.f64 a b) (+.f64 a b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 a b) (/.f64 1 (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 a b) (+.f64 a b)) 1)))) (#(struct:change #<rule 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simplify69.0ms (1%)

Algorithm

1×	egg-herbie

Rules

722×	`associate-/l*_binary64`
566×	`associate-/r*_binary64`
416×	`fma-neg_binary64`
376×	`associate-l_binary64`
341×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	170	1137
1	619	806
2	2621	660

Stop Event

1×	node limit

Counts

183 → 184

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

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

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (+.f64 a b) (-.f64 a b))
✓	0.0b	(/.f64 1 (+.f64 a b))
✓	0.3b	(/.f64 (/.f64 1 (+.f64 a b)) (-.f64 a b))
✓	0.3b	(/.f64 (/.f64 (+.f64 a b) (-.f64 a b)) (/.f64 (/.f64 1 (+.f64 a b)) (-.f64 a b)))

Compiler

Compiled 49 to 15 computations (69.4% saved)

series12.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	a	@	0	(/.f64 (/.f64 1 (+.f64 a b)) (-.f64 a b))
1.0ms	b	@	0	(/.f64 (/.f64 1 (+.f64 a b)) (-.f64 a b))
1.0ms	a	@	inf	(/.f64 (/.f64 1 (+.f64 a b)) (-.f64 a b))
1.0ms	b	@	inf	(/.f64 (/.f64 1 (+.f64 a b)) (-.f64 a b))
1.0ms	a	@	-inf	(/.f64 (/.f64 1 (+.f64 a b)) (-.f64 a b))

rewrite784.0ms (11.8%)

Algorithm

1×	batch-egg-rewrite

Rules

658×	`log-prod_binary64`
618×	`prod-diff_binary64`
309×	`log-div_binary64`
277×	`fma-def_binary64`
198×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	45
1	234	27
2	3933	27

Stop Event

1×	node limit

Counts

3 → 150

Calls

Call 1

Inputs
(/.f64 (/.f64 (+.f64 a b) (-.f64 a b)) (/.f64 (/.f64 1 (+.f64 a b)) (-.f64 a b)))
(/.f64 (/.f64 1 (+.f64 a b)) (-.f64 a b))
(/.f64 1 (+.f64 a b))

Outputs

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

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

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

simplify101.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

649×	`fma-def_binary64`
505×	`times-frac_binary64`
371×	`unsub-neg_binary64`
339×	`unswap-sqr_binary64`
305×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	130	1347
1	408	1212
2	1798	1068
3	6758	1068

Stop Event

1×	node limit

Counts

222 → 200

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 -1 (pow.f64 b 2))
(-.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (/.f64 1 (pow.f64 b 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 4)))) (/.f64 1 (pow.f64 b 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (*.f64 -1 (/.f64 (pow.f64 a 6) (pow.f64 b 8))))) (/.f64 1 (pow.f64 b 2)))
(/.f64 1 (pow.f64 a 2))
(+.f64 (.f64 -1 (/.f64 (+.f64 b (.f64 -1 b)) (pow.f64 a 3))) (/.f64 1 (pow.f64 a 2)))
(+.f64 (.f64 -1 (/.f64 (+.f64 b (.f64 -1 b)) (pow.f64 a 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 -1 (pow.f64 (+.f64 b (.f64 -1 b)) 2))) (pow.f64 a 4))) (/.f64 1 (pow.f64 a 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 b (.f64 -1 b)) (pow.f64 a 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 b (.f64 -1 b)) (+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 -1 (pow.f64 (+.f64 b (.f64 -1 b)) 2))))) (.f64 (+.f64 b (.f64 -1 b)) (pow.f64 b 2))) (pow.f64 a 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 -1 (pow.f64 (+.f64 b (*.f64 -1 b)) 2))) (pow.f64 a 4))) (/.f64 1 (pow.f64 a 2)))))
(/.f64 1 (pow.f64 a 2))
(+.f64 (.f64 -1 (/.f64 (+.f64 b (.f64 -1 b)) (pow.f64 a 3))) (/.f64 1 (pow.f64 a 2)))
(+.f64 (.f64 -1 (/.f64 (+.f64 b (.f64 -1 b)) (pow.f64 a 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 -1 (pow.f64 (+.f64 b (.f64 -1 b)) 2))) (pow.f64 a 4))) (/.f64 1 (pow.f64 a 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 b (.f64 -1 b)) (pow.f64 a 3))) (+.f64 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 -1 (pow.f64 (+.f64 b (.f64 -1 b)) 2)))) (pow.f64 a 5)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 -1 (pow.f64 (+.f64 b (.f64 -1 b)) 2))) (pow.f64 a 4))) (+.f64 (/.f64 1 (pow.f64 a 2)) (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (pow.f64 b 2)) (pow.f64 a 5)))))))
(/.f64 1 (pow.f64 a 2))
(+.f64 (/.f64 1 (pow.f64 a 2)) (/.f64 (pow.f64 b 2) (pow.f64 a 4)))
(+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 6)) (+.f64 (/.f64 1 (pow.f64 a 2)) (/.f64 (pow.f64 b 2) (pow.f64 a 4))))
(+.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 8)) (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 6)) (+.f64 (/.f64 1 (pow.f64 a 2)) (/.f64 (pow.f64 b 2) (pow.f64 a 4)))))
(/.f64 -1 (pow.f64 b 2))
(-.f64 (.f64 -1 (/.f64 (+.f64 a (.f64 -1 a)) (pow.f64 b 3))) (/.f64 1 (pow.f64 b 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 a (.f64 -1 a)) 2) (pow.f64 a 2)) (pow.f64 b 4))) (.f64 -1 (/.f64 (+.f64 a (.f64 -1 a)) (pow.f64 b 3)))) (/.f64 1 (pow.f64 b 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 (pow.f64 (+.f64 a (.f64 -1 a)) 2) (pow.f64 a 2)) (+.f64 a (.f64 -1 a))) (.f64 (+.f64 a (.f64 -1 a)) (pow.f64 a 2))) (pow.f64 b 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 a (.f64 -1 a)) 2) (pow.f64 a 2)) (pow.f64 b 4))) (.f64 -1 (/.f64 (+.f64 a (.f64 -1 a)) (pow.f64 b 3))))) (/.f64 1 (pow.f64 b 2)))
(/.f64 -1 (pow.f64 b 2))
(-.f64 (+.f64 (*.f64 -1 (/.f64 a (pow.f64 b 3))) (/.f64 a (pow.f64 b 3))) (/.f64 1 (pow.f64 b 2)))
(-.f64 (+.f64 (/.f64 a (pow.f64 b 3)) (+.f64 (.f64 -1 (/.f64 a (pow.f64 b 3))) (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 a (*.f64 -1 a)) 2) (pow.f64 a 2)) (pow.f64 b 4))))) (/.f64 1 (pow.f64 b 2)))
(-.f64 (+.f64 (/.f64 a (pow.f64 b 3)) (+.f64 (.f64 -1 (/.f64 a (pow.f64 b 3))) (+.f64 (/.f64 (.f64 (+.f64 (pow.f64 (+.f64 a (.f64 -1 a)) 2) (pow.f64 a 2)) (+.f64 a (.f64 -1 a))) (pow.f64 b 5)) (+.f64 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (pow.f64 a 2)) (pow.f64 b 5)) (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 a (.f64 -1 a)) 2) (pow.f64 a 2)) (pow.f64 b 4))))))) (/.f64 1 (pow.f64 b 2)))
(/.f64 1 b)
(+.f64 (*.f64 -1 (/.f64 a (pow.f64 b 2))) (/.f64 1 b))
(+.f64 (*.f64 -1 (/.f64 a (pow.f64 b 2))) (+.f64 (/.f64 1 b) (/.f64 (pow.f64 a 2) (pow.f64 b 3))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 4))) (+.f64 (.f64 -1 (/.f64 a (pow.f64 b 2))) (+.f64 (/.f64 1 b) (/.f64 (pow.f64 a 2) (pow.f64 b 3)))))
(/.f64 1 a)
(+.f64 (*.f64 -1 (/.f64 b (pow.f64 a 2))) (/.f64 1 a))
(+.f64 (*.f64 -1 (/.f64 b (pow.f64 a 2))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 3)) (/.f64 1 a)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 4))) (+.f64 (.f64 -1 (/.f64 b (pow.f64 a 2))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 3)) (/.f64 1 a))))
(/.f64 1 a)
(+.f64 (*.f64 -1 (/.f64 b (pow.f64 a 2))) (/.f64 1 a))
(+.f64 (*.f64 -1 (/.f64 b (pow.f64 a 2))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 3)) (/.f64 1 a)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 4))) (+.f64 (.f64 -1 (/.f64 b (pow.f64 a 2))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 3)) (/.f64 1 a))))
(/.f64 1 a)
(+.f64 (*.f64 -1 (/.f64 b (pow.f64 a 2))) (/.f64 1 a))
(+.f64 (*.f64 -1 (/.f64 b (pow.f64 a 2))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 3)) (/.f64 1 a)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 4))) (+.f64 (.f64 -1 (/.f64 b (pow.f64 a 2))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 3)) (/.f64 1 a))))
(/.f64 1 b)
(+.f64 (*.f64 -1 (/.f64 a (pow.f64 b 2))) (/.f64 1 b))
(+.f64 (*.f64 -1 (/.f64 a (pow.f64 b 2))) (+.f64 (/.f64 1 b) (/.f64 (pow.f64 a 2) (pow.f64 b 3))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 4))) (+.f64 (.f64 -1 (/.f64 a (pow.f64 b 2))) (+.f64 (/.f64 1 b) (/.f64 (pow.f64 a 2) (pow.f64 b 3)))))
(/.f64 1 b)
(+.f64 (*.f64 -1 (/.f64 a (pow.f64 b 2))) (/.f64 1 b))
(+.f64 (*.f64 -1 (/.f64 a (pow.f64 b 2))) (+.f64 (/.f64 1 b) (/.f64 (pow.f64 a 2) (pow.f64 b 3))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 4))) (+.f64 (.f64 -1 (/.f64 a (pow.f64 b 2))) (+.f64 (/.f64 1 b) (/.f64 (pow.f64 a 2) (pow.f64 b 3)))))

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 b (.f64 2 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 b (.f64 2 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 b (.f64 2 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 -1 (pow.f64 b 2))
(/.f64 -1 (*.f64 b b))
(-.f64 (*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (/.f64 1 (pow.f64 b 2)))
(-.f64 (neg.f64 (/.f64 (.f64 a a) (pow.f64 b 4))) (/.f64 1 (.f64 b b)))
(fma.f64 -1 (/.f64 (.f64 a a) (pow.f64 b 4)) (/.f64 -1 (.f64 b b)))
(-.f64 (/.f64 -1 (.f64 b b)) (/.f64 (.f64 a a) (pow.f64 b 4)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 4)))) (/.f64 1 (pow.f64 b 2)))
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (neg.f64 (/.f64 (.f64 a a) (pow.f64 b 4)))) (/.f64 1 (.f64 b b)))
(fma.f64 -1 (+.f64 (/.f64 (.f64 a a) (pow.f64 b 4)) (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (/.f64 -1 (.f64 b b)))
(-.f64 (-.f64 (/.f64 -1 (.f64 b b)) (/.f64 (.f64 a a) (pow.f64 b 4))) (/.f64 (pow.f64 a 4) (pow.f64 b 6)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (*.f64 -1 (/.f64 (pow.f64 a 6) (pow.f64 b 8))))) (/.f64 1 (pow.f64 b 2)))
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (.f64 -1 (+.f64 (/.f64 (.f64 a a) (pow.f64 b 4)) (/.f64 (pow.f64 a 6) (pow.f64 b 8))))) (/.f64 1 (*.f64 b b)))
(+.f64 (-.f64 (-.f64 (/.f64 (.f64 (neg.f64 a) a) (pow.f64 b 4)) (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (/.f64 (pow.f64 a 6) (pow.f64 b 8))) (/.f64 -1 (.f64 b b)))
(-.f64 (-.f64 (-.f64 (/.f64 -1 (.f64 b b)) (/.f64 (.f64 a a) (pow.f64 b 4))) (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (/.f64 (pow.f64 a 6) (pow.f64 b 8)))
(/.f64 1 (pow.f64 a 2))
(/.f64 1 (*.f64 a a))
(+.f64 (.f64 -1 (/.f64 (+.f64 b (.f64 -1 b)) (pow.f64 a 3))) (/.f64 1 (pow.f64 a 2)))
(/.f64 1 (*.f64 a a))
(+.f64 (.f64 -1 (/.f64 (+.f64 b (.f64 -1 b)) (pow.f64 a 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 -1 (pow.f64 (+.f64 b (.f64 -1 b)) 2))) (pow.f64 a 4))) (/.f64 1 (pow.f64 a 2))))
(fma.f64 -1 (/.f64 (.f64 0 b) (pow.f64 a 3)) (fma.f64 -1 (/.f64 (.f64 -1 (+.f64 (.f64 b b) (pow.f64 (.f64 0 b) 2))) (pow.f64 a 4)) (/.f64 1 (*.f64 a a))))
(+.f64 (/.f64 1 (.f64 a a)) (-.f64 (/.f64 0 (pow.f64 a 3)) (/.f64 (.f64 b (neg.f64 b)) (pow.f64 a 4))))
(+.f64 (/.f64 1 (.f64 a a)) (.f64 (/.f64 b (pow.f64 a 4)) b))
(+.f64 (.f64 (/.f64 b (pow.f64 a 4)) b) (/.f64 1 (.f64 a a)))
(+.f64 (.f64 -1 (/.f64 (+.f64 b (.f64 -1 b)) (pow.f64 a 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 b (.f64 -1 b)) (+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 -1 (pow.f64 (+.f64 b (.f64 -1 b)) 2))))) (.f64 (+.f64 b (.f64 -1 b)) (pow.f64 b 2))) (pow.f64 a 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 -1 (pow.f64 (+.f64 b (*.f64 -1 b)) 2))) (pow.f64 a 4))) (/.f64 1 (pow.f64 a 2)))))
(fma.f64 -1 (/.f64 (.f64 0 b) (pow.f64 a 3)) (fma.f64 -1 (/.f64 (.f64 -1 (+.f64 (.f64 b b) (pow.f64 (.f64 0 b) 2))) (pow.f64 a 4)) (/.f64 1 (*.f64 a a))))
(+.f64 (/.f64 1 (.f64 a a)) (-.f64 (/.f64 0 (pow.f64 a 3)) (/.f64 (.f64 b (neg.f64 b)) (pow.f64 a 4))))
(+.f64 (/.f64 1 (.f64 a a)) (.f64 (/.f64 b (pow.f64 a 4)) b))
(+.f64 (.f64 (/.f64 b (pow.f64 a 4)) b) (/.f64 1 (.f64 a a)))
(/.f64 1 (pow.f64 a 2))
(/.f64 1 (*.f64 a a))
(+.f64 (.f64 -1 (/.f64 (+.f64 b (.f64 -1 b)) (pow.f64 a 3))) (/.f64 1 (pow.f64 a 2)))
(/.f64 1 (*.f64 a a))
(+.f64 (.f64 -1 (/.f64 (+.f64 b (.f64 -1 b)) (pow.f64 a 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 -1 (pow.f64 (+.f64 b (.f64 -1 b)) 2))) (pow.f64 a 4))) (/.f64 1 (pow.f64 a 2))))
(fma.f64 -1 (/.f64 (.f64 0 b) (pow.f64 a 3)) (fma.f64 -1 (/.f64 (.f64 -1 (+.f64 (.f64 b b) (pow.f64 (.f64 0 b) 2))) (pow.f64 a 4)) (/.f64 1 (*.f64 a a))))
(+.f64 (/.f64 1 (.f64 a a)) (-.f64 (/.f64 0 (pow.f64 a 3)) (/.f64 (.f64 b (neg.f64 b)) (pow.f64 a 4))))
(+.f64 (/.f64 1 (.f64 a a)) (.f64 (/.f64 b (pow.f64 a 4)) b))
(+.f64 (.f64 (/.f64 b (pow.f64 a 4)) b) (/.f64 1 (.f64 a a)))
(+.f64 (.f64 -1 (/.f64 (+.f64 b (.f64 -1 b)) (pow.f64 a 3))) (+.f64 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 -1 (pow.f64 (+.f64 b (.f64 -1 b)) 2)))) (pow.f64 a 5)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 -1 (pow.f64 (+.f64 b (.f64 -1 b)) 2))) (pow.f64 a 4))) (+.f64 (/.f64 1 (pow.f64 a 2)) (.f64 -1 (/.f64 (.f64 (+.f64 b (.f64 -1 b)) (pow.f64 b 2)) (pow.f64 a 5)))))))
(fma.f64 -1 (/.f64 (.f64 0 b) (pow.f64 a 3)) (fma.f64 -1 (/.f64 (.f64 -1 (+.f64 (.f64 b b) (pow.f64 (.f64 0 b) 2))) (pow.f64 a 4)) (/.f64 1 (*.f64 a a))))
(+.f64 (/.f64 1 (.f64 a a)) (-.f64 (/.f64 0 (pow.f64 a 3)) (/.f64 (.f64 b (neg.f64 b)) (pow.f64 a 4))))
(+.f64 (/.f64 1 (.f64 a a)) (.f64 (/.f64 b (pow.f64 a 4)) b))
(+.f64 (.f64 (/.f64 b (pow.f64 a 4)) b) (/.f64 1 (.f64 a a)))
(/.f64 1 (pow.f64 a 2))
(/.f64 1 (*.f64 a a))
(+.f64 (/.f64 1 (pow.f64 a 2)) (/.f64 (pow.f64 b 2) (pow.f64 a 4)))
(fma.f64 -1 (/.f64 (.f64 0 b) (pow.f64 a 3)) (fma.f64 -1 (/.f64 (.f64 -1 (+.f64 (.f64 b b) (pow.f64 (.f64 0 b) 2))) (pow.f64 a 4)) (/.f64 1 (*.f64 a a))))
(+.f64 (/.f64 1 (.f64 a a)) (-.f64 (/.f64 0 (pow.f64 a 3)) (/.f64 (.f64 b (neg.f64 b)) (pow.f64 a 4))))
(+.f64 (/.f64 1 (.f64 a a)) (.f64 (/.f64 b (pow.f64 a 4)) b))
(+.f64 (.f64 (/.f64 b (pow.f64 a 4)) b) (/.f64 1 (.f64 a a)))
(+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 6)) (+.f64 (/.f64 1 (pow.f64 a 2)) (/.f64 (pow.f64 b 2) (pow.f64 a 4))))
(+.f64 (+.f64 (/.f64 1 (.f64 a a)) (/.f64 (.f64 b b) (pow.f64 a 4))) (/.f64 (pow.f64 b 4) (pow.f64 a 6)))
(+.f64 (/.f64 1 (*.f64 a a)) (+.f64 (/.f64 b (/.f64 (pow.f64 a 4) b)) (/.f64 (pow.f64 b 4) (pow.f64 a 6))))
(+.f64 (/.f64 1 (.f64 a a)) (+.f64 (.f64 (/.f64 b (pow.f64 a 4)) b) (/.f64 (pow.f64 b 4) (pow.f64 a 6))))
(+.f64 (+.f64 (.f64 (/.f64 b (pow.f64 a 4)) b) (/.f64 1 (.f64 a a))) (/.f64 (pow.f64 b 4) (pow.f64 a 6)))
(+.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 8)) (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 6)) (+.f64 (/.f64 1 (pow.f64 a 2)) (/.f64 (pow.f64 b 2) (pow.f64 a 4)))))
(+.f64 (+.f64 (+.f64 (/.f64 1 (.f64 a a)) (/.f64 (.f64 b b) (pow.f64 a 4))) (/.f64 (pow.f64 b 4) (pow.f64 a 6))) (/.f64 (pow.f64 b 6) (pow.f64 a 8)))
(+.f64 (+.f64 (/.f64 1 (*.f64 a a)) (/.f64 b (/.f64 (pow.f64 a 4) b))) (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 6)) (/.f64 (pow.f64 b 6) (pow.f64 a 8))))
(+.f64 (/.f64 1 (.f64 a a)) (+.f64 (.f64 (/.f64 b (pow.f64 a 4)) b) (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 6)) (/.f64 (pow.f64 b 6) (pow.f64 a 8)))))
(+.f64 (.f64 (/.f64 b (pow.f64 a 4)) b) (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 6)) (+.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 8)) (/.f64 1 (.f64 a a)))))
(/.f64 -1 (pow.f64 b 2))
(/.f64 -1 (*.f64 b b))
(-.f64 (.f64 -1 (/.f64 (+.f64 a (.f64 -1 a)) (pow.f64 b 3))) (/.f64 1 (pow.f64 b 2)))
(/.f64 -1 (*.f64 b b))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 a (.f64 -1 a)) 2) (pow.f64 a 2)) (pow.f64 b 4))) (.f64 -1 (/.f64 (+.f64 a (.f64 -1 a)) (pow.f64 b 3)))) (/.f64 1 (pow.f64 b 2)))
(-.f64 (neg.f64 (/.f64 (.f64 a a) (pow.f64 b 4))) (/.f64 1 (.f64 b b)))
(fma.f64 -1 (/.f64 (.f64 a a) (pow.f64 b 4)) (/.f64 -1 (.f64 b b)))
(-.f64 (/.f64 -1 (.f64 b b)) (/.f64 (.f64 a a) (pow.f64 b 4)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 (pow.f64 (+.f64 a (.f64 -1 a)) 2) (pow.f64 a 2)) (+.f64 a (.f64 -1 a))) (.f64 (+.f64 a (.f64 -1 a)) (pow.f64 a 2))) (pow.f64 b 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 a (.f64 -1 a)) 2) (pow.f64 a 2)) (pow.f64 b 4))) (.f64 -1 (/.f64 (+.f64 a (.f64 -1 a)) (pow.f64 b 3))))) (/.f64 1 (pow.f64 b 2)))
(-.f64 (neg.f64 (/.f64 (.f64 a a) (pow.f64 b 4))) (/.f64 1 (.f64 b b)))
(fma.f64 -1 (/.f64 (.f64 a a) (pow.f64 b 4)) (/.f64 -1 (.f64 b b)))
(-.f64 (/.f64 -1 (.f64 b b)) (/.f64 (.f64 a a) (pow.f64 b 4)))
(/.f64 -1 (pow.f64 b 2))
(/.f64 -1 (*.f64 b b))
(-.f64 (+.f64 (*.f64 -1 (/.f64 a (pow.f64 b 3))) (/.f64 a (pow.f64 b 3))) (/.f64 1 (pow.f64 b 2)))
(/.f64 -1 (*.f64 b b))
(-.f64 (+.f64 (/.f64 a (pow.f64 b 3)) (+.f64 (.f64 -1 (/.f64 a (pow.f64 b 3))) (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 a (*.f64 -1 a)) 2) (pow.f64 a 2)) (pow.f64 b 4))))) (/.f64 1 (pow.f64 b 2)))
(-.f64 (neg.f64 (/.f64 (.f64 a a) (pow.f64 b 4))) (/.f64 1 (.f64 b b)))
(fma.f64 -1 (/.f64 (.f64 a a) (pow.f64 b 4)) (/.f64 -1 (.f64 b b)))
(-.f64 (/.f64 -1 (.f64 b b)) (/.f64 (.f64 a a) (pow.f64 b 4)))
(-.f64 (+.f64 (/.f64 a (pow.f64 b 3)) (+.f64 (.f64 -1 (/.f64 a (pow.f64 b 3))) (+.f64 (/.f64 (.f64 (+.f64 (pow.f64 (+.f64 a (.f64 -1 a)) 2) (pow.f64 a 2)) (+.f64 a (.f64 -1 a))) (pow.f64 b 5)) (+.f64 (/.f64 (.f64 (+.f64 a (.f64 -1 a)) (pow.f64 a 2)) (pow.f64 b 5)) (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 a (.f64 -1 a)) 2) (pow.f64 a 2)) (pow.f64 b 4))))))) (/.f64 1 (pow.f64 b 2)))
(-.f64 (neg.f64 (/.f64 (.f64 a a) (pow.f64 b 4))) (/.f64 1 (.f64 b b)))
(fma.f64 -1 (/.f64 (.f64 a a) (pow.f64 b 4)) (/.f64 -1 (.f64 b b)))
(-.f64 (/.f64 -1 (.f64 b b)) (/.f64 (.f64 a a) (pow.f64 b 4)))
(/.f64 1 b)
(+.f64 (*.f64 -1 (/.f64 a (pow.f64 b 2))) (/.f64 1 b))
(fma.f64 -1 (/.f64 a (*.f64 b b)) (/.f64 1 b))
(-.f64 (/.f64 1 b) (/.f64 a (*.f64 b b)))
(+.f64 (*.f64 -1 (/.f64 a (pow.f64 b 2))) (+.f64 (/.f64 1 b) (/.f64 (pow.f64 a 2) (pow.f64 b 3))))
(+.f64 (fma.f64 -1 (/.f64 a (.f64 b b)) (/.f64 1 b)) (/.f64 (.f64 a a) (pow.f64 b 3)))
(+.f64 (-.f64 (/.f64 1 b) (/.f64 a (*.f64 b b))) (/.f64 a (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 1 b) (.f64 (/.f64 a (.f64 b b)) (+.f64 -1 (/.f64 a b))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 4))) (+.f64 (.f64 -1 (/.f64 a (pow.f64 b 2))) (+.f64 (/.f64 1 b) (/.f64 (pow.f64 a 2) (pow.f64 b 3)))))
(fma.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 4)) (+.f64 (fma.f64 -1 (/.f64 a (.f64 b b)) (/.f64 1 b)) (/.f64 (.f64 a a) (pow.f64 b 3))))
(-.f64 (+.f64 (-.f64 (/.f64 1 b) (/.f64 a (*.f64 b b))) (/.f64 a (/.f64 (pow.f64 b 3) a))) (/.f64 (pow.f64 a 3) (pow.f64 b 4)))
(+.f64 (/.f64 1 b) (-.f64 (.f64 (/.f64 a (.f64 b b)) (+.f64 -1 (/.f64 a b))) (/.f64 (pow.f64 a 3) (pow.f64 b 4))))
(/.f64 1 a)
(+.f64 (*.f64 -1 (/.f64 b (pow.f64 a 2))) (/.f64 1 a))
(fma.f64 -1 (/.f64 b (*.f64 a a)) (/.f64 1 a))
(-.f64 (/.f64 1 a) (/.f64 (/.f64 b a) a))
(-.f64 (/.f64 1 a) (/.f64 b (*.f64 a a)))
(+.f64 (*.f64 -1 (/.f64 b (pow.f64 a 2))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 3)) (/.f64 1 a)))
(fma.f64 -1 (/.f64 b (.f64 a a)) (+.f64 (/.f64 1 a) (/.f64 (.f64 b b) (pow.f64 a 3))))
(-.f64 (+.f64 (/.f64 1 a) (/.f64 (*.f64 b b) (pow.f64 a 3))) (/.f64 (/.f64 b a) a))
(+.f64 (/.f64 1 a) (.f64 (/.f64 b (.f64 a a)) (+.f64 -1 (/.f64 b a))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 4))) (+.f64 (.f64 -1 (/.f64 b (pow.f64 a 2))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 3)) (/.f64 1 a))))
(fma.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 4)) (fma.f64 -1 (/.f64 b (.f64 a a)) (+.f64 (/.f64 1 a) (/.f64 (.f64 b b) (pow.f64 a 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 1 a) (/.f64 (*.f64 b b) (pow.f64 a 3))) (/.f64 (/.f64 b a) a)) (/.f64 (pow.f64 b 3) (pow.f64 a 4)))
(+.f64 (/.f64 1 a) (-.f64 (.f64 (/.f64 b (.f64 a a)) (+.f64 -1 (/.f64 b a))) (/.f64 (pow.f64 b 3) (pow.f64 a 4))))
(/.f64 1 a)
(+.f64 (*.f64 -1 (/.f64 b (pow.f64 a 2))) (/.f64 1 a))
(fma.f64 -1 (/.f64 b (*.f64 a a)) (/.f64 1 a))
(-.f64 (/.f64 1 a) (/.f64 (/.f64 b a) a))
(-.f64 (/.f64 1 a) (/.f64 b (*.f64 a a)))
(+.f64 (*.f64 -1 (/.f64 b (pow.f64 a 2))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 3)) (/.f64 1 a)))
(fma.f64 -1 (/.f64 b (.f64 a a)) (+.f64 (/.f64 1 a) (/.f64 (.f64 b b) (pow.f64 a 3))))
(-.f64 (+.f64 (/.f64 1 a) (/.f64 (*.f64 b b) (pow.f64 a 3))) (/.f64 (/.f64 b a) a))
(+.f64 (/.f64 1 a) (.f64 (/.f64 b (.f64 a a)) (+.f64 -1 (/.f64 b a))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 4))) (+.f64 (.f64 -1 (/.f64 b (pow.f64 a 2))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 3)) (/.f64 1 a))))
(fma.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 4)) (fma.f64 -1 (/.f64 b (.f64 a a)) (+.f64 (/.f64 1 a) (/.f64 (.f64 b b) (pow.f64 a 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 1 a) (/.f64 (*.f64 b b) (pow.f64 a 3))) (/.f64 (/.f64 b a) a)) (/.f64 (pow.f64 b 3) (pow.f64 a 4)))
(+.f64 (/.f64 1 a) (-.f64 (.f64 (/.f64 b (.f64 a a)) (+.f64 -1 (/.f64 b a))) (/.f64 (pow.f64 b 3) (pow.f64 a 4))))
(/.f64 1 a)
(+.f64 (*.f64 -1 (/.f64 b (pow.f64 a 2))) (/.f64 1 a))
(fma.f64 -1 (/.f64 b (*.f64 a a)) (/.f64 1 a))
(-.f64 (/.f64 1 a) (/.f64 (/.f64 b a) a))
(-.f64 (/.f64 1 a) (/.f64 b (*.f64 a a)))
(+.f64 (*.f64 -1 (/.f64 b (pow.f64 a 2))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 3)) (/.f64 1 a)))
(fma.f64 -1 (/.f64 b (.f64 a a)) (+.f64 (/.f64 1 a) (/.f64 (.f64 b b) (pow.f64 a 3))))
(-.f64 (+.f64 (/.f64 1 a) (/.f64 (*.f64 b b) (pow.f64 a 3))) (/.f64 (/.f64 b a) a))
(+.f64 (/.f64 1 a) (.f64 (/.f64 b (.f64 a a)) (+.f64 -1 (/.f64 b a))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 4))) (+.f64 (.f64 -1 (/.f64 b (pow.f64 a 2))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 3)) (/.f64 1 a))))
(fma.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 4)) (fma.f64 -1 (/.f64 b (.f64 a a)) (+.f64 (/.f64 1 a) (/.f64 (.f64 b b) (pow.f64 a 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 1 a) (/.f64 (*.f64 b b) (pow.f64 a 3))) (/.f64 (/.f64 b a) a)) (/.f64 (pow.f64 b 3) (pow.f64 a 4)))
(+.f64 (/.f64 1 a) (-.f64 (.f64 (/.f64 b (.f64 a a)) (+.f64 -1 (/.f64 b a))) (/.f64 (pow.f64 b 3) (pow.f64 a 4))))
(/.f64 1 b)
(+.f64 (*.f64 -1 (/.f64 a (pow.f64 b 2))) (/.f64 1 b))
(fma.f64 -1 (/.f64 a (*.f64 b b)) (/.f64 1 b))
(-.f64 (/.f64 1 b) (/.f64 a (*.f64 b b)))
(+.f64 (*.f64 -1 (/.f64 a (pow.f64 b 2))) (+.f64 (/.f64 1 b) (/.f64 (pow.f64 a 2) (pow.f64 b 3))))
(+.f64 (fma.f64 -1 (/.f64 a (.f64 b b)) (/.f64 1 b)) (/.f64 (.f64 a a) (pow.f64 b 3)))
(+.f64 (-.f64 (/.f64 1 b) (/.f64 a (*.f64 b b))) (/.f64 a (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 1 b) (.f64 (/.f64 a (.f64 b b)) (+.f64 -1 (/.f64 a b))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 4))) (+.f64 (.f64 -1 (/.f64 a (pow.f64 b 2))) (+.f64 (/.f64 1 b) (/.f64 (pow.f64 a 2) (pow.f64 b 3)))))
(fma.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 4)) (+.f64 (fma.f64 -1 (/.f64 a (.f64 b b)) (/.f64 1 b)) (/.f64 (.f64 a a) (pow.f64 b 3))))
(-.f64 (+.f64 (-.f64 (/.f64 1 b) (/.f64 a (*.f64 b b))) (/.f64 a (/.f64 (pow.f64 b 3) a))) (/.f64 (pow.f64 a 3) (pow.f64 b 4)))
(+.f64 (/.f64 1 b) (-.f64 (.f64 (/.f64 a (.f64 b b)) (+.f64 -1 (/.f64 a b))) (/.f64 (pow.f64 a 3) (pow.f64 b 4))))
(/.f64 1 b)
(+.f64 (*.f64 -1 (/.f64 a (pow.f64 b 2))) (/.f64 1 b))
(fma.f64 -1 (/.f64 a (*.f64 b b)) (/.f64 1 b))
(-.f64 (/.f64 1 b) (/.f64 a (*.f64 b b)))
(+.f64 (*.f64 -1 (/.f64 a (pow.f64 b 2))) (+.f64 (/.f64 1 b) (/.f64 (pow.f64 a 2) (pow.f64 b 3))))
(+.f64 (fma.f64 -1 (/.f64 a (.f64 b b)) (/.f64 1 b)) (/.f64 (.f64 a a) (pow.f64 b 3)))
(+.f64 (-.f64 (/.f64 1 b) (/.f64 a (*.f64 b b))) (/.f64 a (/.f64 (pow.f64 b 3) a)))
(+.f64 (/.f64 1 b) (.f64 (/.f64 a (.f64 b b)) (+.f64 -1 (/.f64 a b))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 4))) (+.f64 (.f64 -1 (/.f64 a (pow.f64 b 2))) (+.f64 (/.f64 1 b) (/.f64 (pow.f64 a 2) (pow.f64 b 3)))))
(fma.f64 -1 (/.f64 (pow.f64 a 3) (pow.f64 b 4)) (+.f64 (fma.f64 -1 (/.f64 a (.f64 b b)) (/.f64 1 b)) (/.f64 (.f64 a a) (pow.f64 b 3))))
(-.f64 (+.f64 (-.f64 (/.f64 1 b) (/.f64 a (*.f64 b b))) (/.f64 a (/.f64 (pow.f64 b 3) a))) (/.f64 (pow.f64 a 3) (pow.f64 b 4)))
(+.f64 (/.f64 1 b) (-.f64 (.f64 (/.f64 a (.f64 b b)) (+.f64 -1 (/.f64 a b))) (/.f64 (pow.f64 a 3) (pow.f64 b 4))))

localize14.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 5 computations (72.2% saved)

series5.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite314.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

735×	`pow1_binary64`
683×	`add-log-exp_binary64`
683×	`log1p-expm1-u_binary64`
683×	`expm1-log1p-u_binary64`
668×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	130	10
2	1824	10

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify159.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

46 → 28

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))

eval246.0ms (3.7%)

Compiler: Compiled 10464 to 3700 computations (64.6% saved)

prune75.0ms (1.1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	471	2	473
Fresh	0	0	0
Picked	0	1	1
Done	2	4	6
Total	473	7	480

Error

Counts

480 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (.f64 b (+.f64 a b)) (.f64 a (+.f64 a b)))
	0.2b	(/.f64 (/.f64 (+.f64 a b) (-.f64 a b)) (/.f64 -1 (*.f64 b b)))
✓	0.0b	(fma.f64 (+.f64 b a) b (*.f64 a b))
✓	0.0b	(*.f64 (+.f64 a b) (+.f64 a b))
✓	0.0b	(*.f64 b (+.f64 b (+.f64 a a)))
	0.9b	(/.f64 -1 (/.f64 (/.f64 1 (+.f64 a b)) (-.f64 a b)))
✓	0.5b	(*.f64 b b)

Compiler

Compiled 74 to 41 computations (44.6% saved)

regimes178.0ms (2.7%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

5 calls:

139.0ms	a
9.0ms	(+.f64 a b)
8.0ms	(+.f64 a b)
8.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
8.0ms	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)`
0.0b	1	`(+.f64 a b)`

Compiler

Compiled 186 to 68 computations (63.4% saved)

regimes29.0ms (0.4%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	b
7.0ms	(+.f64 a b)
7.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
5.0ms	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 152 to 51 computations (66.4% saved)

regimes17.0ms (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 -1 (/.f64 (/.f64 1 (+.f64 a b)) (-.f64 a b)))

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

Calls

4 calls:

5.0ms	b
4.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
4.0ms	(+.f64 a b)
3.0ms	a

Results

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

Compiler

Compiled 50 to 25 computations (50% saved)

regimes7.0ms (0.1%)

Accuracy

Total -0.5b remaining (-977.3%)

Threshold costs -0.5b (-977.3%)

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
0.0b	1	`a`
0.0b	1	`b`

Compiler

Compiled 18 to 10 computations (44.4% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	54
1	22	54

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 48 to 23 computations (52.1% saved)

soundness0.0ms (0%)

end51.0ms (0.8%)

Compiler: Compiled 64 to 22 computations (65.6% saved)

Details

analyze1.0ms (0%)

sample1.9s (27.8%)

preprocess20.0ms (0.3%)

simplify10.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series3.0ms (0%)

rewrite48.0ms (0.7%)

simplify173.0ms (2.6%)

eval7.0ms (0.1%)

prune11.0ms (0.2%)

localize8.0ms (0.1%)

series9.0ms (0.1%)

rewrite82.0ms (1.2%)

simplify185.0ms (2.8%)

localize3.0ms (0%)

localize14.0ms (0.2%)

series7.0ms (0.1%)

rewrite117.0ms (1.8%)

simplify68.0ms (1%)

localize14.0ms (0.2%)

series4.0ms (0.1%)

rewrite44.0ms (0.7%)

simplify160.0ms (2.4%)

localize14.0ms (0.2%)

series5.0ms (0.1%)

rewrite60.0ms (0.9%)

simplify47.0ms (0.7%)

eval153.0ms (2.3%)

prune240.0ms (3.6%)

localize18.0ms (0.3%)

series3.0ms (0%)

rewrite56.0ms (0.8%)

simplify167.0ms (2.5%)

localize12.0ms (0.2%)

series4.0ms (0.1%)

rewrite69.0ms (1%)

simplify171.0ms (2.6%)

localize15.0ms (0.2%)

series7.0ms (0.1%)

rewrite91.0ms (1.4%)

simplify63.0ms (0.9%)

localize7.0ms (0.1%)

series4.0ms (0.1%)

rewrite71.0ms (1.1%)

simplify202.0ms (3%)

eval88.0ms (1.3%)

prune54.0ms (0.8%)

localize13.0ms (0.2%)

series5.0ms (0.1%)

rewrite96.0ms (1.4%)

simplify69.0ms (1%)

localize17.0ms (0.2%)

series12.0ms (0.2%)

rewrite784.0ms (11.8%)

simplify101.0ms (1.5%)

localize14.0ms (0.2%)

series5.0ms (0.1%)

rewrite314.0ms (4.7%)

simplify159.0ms (2.4%)

eval246.0ms (3.7%)

prune75.0ms (1.1%)

regimes178.0ms (2.7%)

regimes29.0ms (0.4%)

regimes17.0ms (0.3%)

regimes7.0ms (0.1%)

simplify4.0ms (0.1%)

soundness0.0ms (0%)

end51.0ms (0.8%)

Profiling