Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 24 to 15 computations (37.5% saved)

sample849.0ms (27.3%)

Results

835.0ms

8256×

body

256

valid

preprocess19.0ms (0.6%)

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	43	20
3	79	20
4	122	20
5	152	20
6	172	20
7	189	20
8	191	20
0	2	2
1	2	2

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

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

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

Symmetry

(sort a b)

Compiler

Compiled 11 to 6 computations (45.5% saved)

simplify9.0ms (0.3%)

Algorithm

1×	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	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 2 expressions with local error:

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

Compiler

Compiled 14 to 4 computations (71.4% saved)

series9.0ms (0.3%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	a	@	-inf	(*.f64 (+.f64 a b) (+.f64 a b))
1.0ms	a	@	0	(*.f64 (+.f64 a b) (+.f64 a b))
1.0ms	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))

rewrite44.0ms (1.4%)

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	1743	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 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 (+.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 log1p.f64 (expm1.f64 (pow.f64 (+.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.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)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 a b)) 2))))))

Outputs

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

simplify152.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

968×	`sqr-pow_binary64`
615×	`fma-def_binary64`
606×	`cube-prod_binary64`
548×	`fabs-mul_binary64`
372×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	294
1	32	267
2	69	222
3	151	216
4	414	216
5	1500	216
6	2773	216
7	3045	216
8	3230	216
9	3474	216
10	3777	216
11	4170	216
12	4679	216
13	5257	216
14	5999	216
15	6549	216
16	6883	216
17	7203	216
18	7285	216
19	7315	216
20	7966	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)))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (fma.f64 2 (.f64 b a) (.f64 b b)) (*.f64 a a))
(fma.f64 2 (.f64 b a) (fma.f64 b b (.f64 a a)))
(fma.f64 b (fma.f64 2 a b) (*.f64 a a))
(fma.f64 b b (*.f64 a (fma.f64 b 2 a)))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 a 2))
(fma.f64 2 (.f64 b a) (.f64 a a))
(.f64 a (+.f64 (.f64 b 2) a))
(*.f64 a (fma.f64 b 2 a))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (fma.f64 2 (.f64 b a) (.f64 b b)) (*.f64 a a))
(fma.f64 2 (.f64 b a) (fma.f64 b b (.f64 a a)))
(fma.f64 b (fma.f64 2 a b) (*.f64 a a))
(fma.f64 b b (*.f64 a (fma.f64 b 2 a)))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (fma.f64 2 (.f64 b a) (.f64 b b)) (*.f64 a a))
(fma.f64 2 (.f64 b a) (fma.f64 b b (.f64 a a)))
(fma.f64 b (fma.f64 2 a b) (*.f64 a a))
(fma.f64 b b (*.f64 a (fma.f64 b 2 a)))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 a 2))
(fma.f64 2 (.f64 b a) (.f64 a a))
(.f64 a (+.f64 (.f64 b 2) a))
(*.f64 a (fma.f64 b 2 a))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (fma.f64 2 (.f64 b a) (.f64 b b)) (*.f64 a a))
(fma.f64 2 (.f64 b a) (fma.f64 b b (.f64 a a)))
(fma.f64 b (fma.f64 2 a b) (*.f64 a a))
(fma.f64 b b (*.f64 a (fma.f64 b 2 a)))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (fma.f64 2 (.f64 b a) (.f64 b b)) (*.f64 a a))
(fma.f64 2 (.f64 b a) (fma.f64 b b (.f64 a a)))
(fma.f64 b (fma.f64 2 a b) (*.f64 a a))
(fma.f64 b b (*.f64 a (fma.f64 b 2 a)))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 a 2))
(fma.f64 2 (.f64 b a) (.f64 a a))
(.f64 a (+.f64 (.f64 b 2) a))
(*.f64 a (fma.f64 b 2 a))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (fma.f64 2 (.f64 b a) (.f64 b b)) (*.f64 a a))
(fma.f64 2 (.f64 b a) (fma.f64 b b (.f64 a a)))
(fma.f64 b (fma.f64 2 a b) (*.f64 a a))
(fma.f64 b b (*.f64 a (fma.f64 b 2 a)))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (fma.f64 2 (.f64 b a) (.f64 b b)) (*.f64 a a))
(fma.f64 2 (.f64 b a) (fma.f64 b b (.f64 a a)))
(fma.f64 b (fma.f64 2 a b) (*.f64 a a))
(fma.f64 b b (*.f64 a (fma.f64 b 2 a)))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(fma.f64 2 (.f64 b a) (.f64 b b))
(.f64 b (+.f64 b (.f64 2 a)))
(*.f64 b (fma.f64 2 a b))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (fma.f64 2 (.f64 b a) (.f64 b b)) (*.f64 a a))
(fma.f64 2 (.f64 b a) (fma.f64 b b (.f64 a a)))
(fma.f64 b (fma.f64 2 a b) (*.f64 a a))
(fma.f64 b b (*.f64 a (fma.f64 b 2 a)))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (fma.f64 2 (.f64 b a) (.f64 b b)) (*.f64 a a))
(fma.f64 2 (.f64 b a) (fma.f64 b b (.f64 a a)))
(fma.f64 b (fma.f64 2 a b) (*.f64 a a))
(fma.f64 b b (*.f64 a (fma.f64 b 2 a)))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 b 2))
(fma.f64 2 (.f64 b a) (.f64 b b))
(.f64 b (+.f64 b (.f64 2 a)))
(*.f64 b (fma.f64 2 a b))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (fma.f64 2 (.f64 b a) (.f64 b b)) (*.f64 a a))
(fma.f64 2 (.f64 b a) (fma.f64 b b (.f64 a a)))
(fma.f64 b (fma.f64 2 a b) (*.f64 a a))
(fma.f64 b b (*.f64 a (fma.f64 b 2 a)))
(+.f64 (.f64 2 (.f64 a b)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (fma.f64 2 (.f64 b a) (.f64 b b)) (*.f64 a a))
(fma.f64 2 (.f64 b a) (fma.f64 b b (.f64 a a)))
(fma.f64 b (fma.f64 2 a b) (*.f64 a a))
(fma.f64 b b (*.f64 a (fma.f64 b 2 a)))

eval8.0ms (0.3%)

Compiler: Compiled 471 to 165 computations (65% saved)

prune7.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

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

Error

Counts

37 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(/.f64 (.f64 (-.f64 (.f64 a a) (*.f64 b b)) (+.f64 a b)) (-.f64 a b))
▶	0b	(fma.f64 b b (*.f64 a (fma.f64 b 2 a)))
✓	0.0b	(*.f64 (+.f64 a b) (+.f64 a b))
▶	0.0b	(*.f64 b (fma.f64 2 a b))
▶	0.3b	(*.f64 b b)

Compiler

Compiled 50 to 27 computations (46% saved)

localize3.0ms (0.1%)

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

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 15 to 8 computations (46.7% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite43.0ms (1.4%)

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 log1p.f64 (expm1.f64 (.f64 b (fma.f64 2 a b))))))) (#(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 exp.f64 (log.f64 (.f64 b (fma.f64 2 a b))))))))

Outputs

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

simplify155.0ms (5%)

Algorithm

1×	egg-herbie

Rules

801×	`sqr-pow_binary64`
582×	`fma-def_binary64`
565×	`cube-prod_binary64`
560×	`fabs-mul_binary64`
541×	`pow-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	231
1	19	213
2	41	177
3	79	177
4	167	177
5	469	177
6	1554	177
7	2782	177
8	3129	177
9	3351	177
10	3573	177
11	3879	177
12	4301	177
13	4791	177
14	5360	177
15	6056	177
16	6906	177
17	7301	177
18	7589	177
19	7865	177
20	7935	177
21	7971	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))

localize11.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 12 computations (50% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite46.0ms (1.5%)

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 a (fma.f64 b 2 a))

Outputs

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

simplify150.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

802×	`sqr-pow_binary64`
582×	`fma-def_binary64`
565×	`cube-prod_binary64`
553×	`fabs-mul_binary64`
469×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	231
1	19	231
2	37	213
3	75	177
4	168	177
5	464	177
6	1534	177
7	2777	177
8	3132	177
9	3354	177
10	3576	177
11	3880	177
12	4302	177
13	4812	177
14	5381	177
15	6079	177
16	6931	177
17	7322	177
18	7612	177
19	7886	177
20	7956	177
21	7990	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 a 2))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 a 2))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 a 2))
(pow.f64 a 2)
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 a 2))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 a 2))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 a 2))
(pow.f64 a 2)
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 a 2))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 a 2))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 a 2))
(pow.f64 a 2)
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 a 2))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 a 2))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 a 2))
(.f64 2 (.f64 a b))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 a 2))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 a 2))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 a 2))
(.f64 2 (.f64 a b))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 a 2))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 a 2))
(+.f64 (.f64 2 (.f64 a b)) (pow.f64 a 2))

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

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 49 to 9 computations (81.6% saved)

series8.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite92.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

843×	`fma-def_binary64`
684×	`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	4120	20

Stop Event

1×	node limit

Counts

2 → 174

Calls

Call 1

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

Outputs

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(+.f64 a b) (*.f64 a a)) (*.f64 (+.f64 a b) (*.f64 b (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (pow.f64 (+.f64 a b) 2) (-.f64 a b)))) (cbrt.f64 (exp.f64 (*.f64 (pow.f64 (+.f64 a b) 2) (-.f64 a b)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (pow.f64 (+.f64 a b) 2) (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (pow.f64 (+.f64 a b) 2) (-.f64 a b))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (pow.f64 (+.f64 a b) 2) (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 a b) 2) (-.f64 a b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 2) (-.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6)) (-.f64 (*.f64 a a) (*.f64 b b))) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b)) (pow.f64 a 4)) (-.f64 a b)))))) (#(struct:change #<rule 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simplify43.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

663×	`times-frac_binary64`
487×	`associate-+l+_binary64`
341×	`associate-l_binary64`
298×	`associate-r_binary64`
277×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	118	1059
1	441	752
2	1826	651

Stop Event

1×	node limit

Counts

222 → 213

Calls

Call 1

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

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

eval67.0ms (2.2%)

Compiler: Compiled 5335 to 1706 computations (68% saved)

prune35.0ms (1.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	248	3	251
Fresh	0	0	0
Picked	1	0	1
Done	2	2	4
Total	251	5	256

Error

Counts

256 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(.f64 b (-.f64 b (.f64 a -2)))
▶	0.0b	(.f64 (-.f64 (.f64 a a) (*.f64 b b)) (/.f64 1 (/.f64 (-.f64 a b) (+.f64 a b))))
✓	0.0b	(*.f64 (+.f64 a b) (+.f64 a b))
✓	0.3b	(*.f64 b b)
▶	0.1b	(/.f64 (.f64 (.f64 b b) (neg.f64 (+.f64 a b))) (-.f64 a b))

Compiler

Compiled 56 to 32 computations (42.9% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 37 to 8 computations (78.4% saved)

series11.0ms (0.4%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	b	@	0	(.f64 (.f64 b b) (neg.f64 (+.f64 a b)))
1.0ms	a	@	0	(/.f64 (.f64 (.f64 b b) (neg.f64 (+.f64 a b))) (-.f64 a b))
1.0ms	a	@	inf	(/.f64 (.f64 (.f64 b b) (neg.f64 (+.f64 a b))) (-.f64 a b))
1.0ms	b	@	0	(/.f64 (.f64 (.f64 b b) (neg.f64 (+.f64 a b))) (-.f64 a b))
1.0ms	a	@	-inf	(/.f64 (.f64 (.f64 b b) (neg.f64 (+.f64 a b))) (-.f64 a b))

rewrite67.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

833×	`prod-diff_binary64`
547×	`log-prod_binary64`
383×	`fma-def_binary64`
251×	`pow2_binary64`
183×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	211	26
2	3457	26

Stop Event

1×	node limit

Counts

2 → 108

Calls

Call 1

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

Outputs

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

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

simplify59.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

557×	`fma-def_binary64`
451×	`sub-neg_binary64`
438×	`times-frac_binary64`
321×	`unsub-neg_binary64`
321×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	906
1	311	720
2	1122	678
3	5652	678

Stop Event

1×	node limit

Counts

156 → 139

Calls

Call 1

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

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

localize127.0ms (4.1%)

Local error

Found 4 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 1 (/.f64 (-.f64 a b) (+.f64 a b))))
✓	0.0b	(.f64 (-.f64 (.f64 a a) (*.f64 b b)) (/.f64 1 (/.f64 (-.f64 a b) (+.f64 a b))))
✓	0.0b	(/.f64 (-.f64 a b) (+.f64 a b))

Compiler

Compiled 57 to 14 computations (75.4% saved)

series6.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite167.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

791×	`fma-def_binary64`
754×	`log-prod_binary64`
323×	`fma-neg_binary64`
256×	`log-div_binary64`
235×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	32
1	283	17
2	4489	17

Stop Event

1×	node limit

Counts

2 → 206

Calls

Call 1

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

Outputs

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

simplify135.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

714×	`associate-/l*_binary64`
563×	`associate-/r*_binary64`
416×	`fma-neg_binary64`
364×	`associate-l_binary64`
342×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	170	1137
1	618	806
2	2560	660

Stop Event

1×	node limit

Counts

254 → 255

Calls

Call 1

Inputs
-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)
(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)))

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

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 12 computations (40% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite48.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	154	10
2	2075	10

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify165.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

801×	`sqr-pow_binary64`
582×	`fma-def_binary64`
565×	`cube-prod_binary64`
560×	`fabs-mul_binary64`
541×	`pow-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	231
1	19	213
2	41	177
3	79	177
4	167	177
5	469	177
6	1554	177
7	2782	177
8	3129	177
9	3351	177
10	3573	177
11	3879	177
12	4301	177
13	4791	177
14	5360	177
15	6056	177
16	6906	177
17	7301	177
18	7589	177
19	7865	177
20	7935	177
21	7971	177

Stop Event

1×	node limit

Counts

43 → 25

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))

eval226.0ms (7.2%)

Compiler: Compiled 9477 to 2792 computations (70.5% saved)

prune64.0ms (2.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	418	1	419
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	419	5	424

Error

Counts

424 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(*.f64 (+.f64 a b) (+.f64 a b))
✓	0.0b	(.f64 b (-.f64 b (.f64 a -2)))
✓	0.3b	(*.f64 b b)
▶	0.3b	(/.f64 (+.f64 a b) (/.f64 1 (+.f64 a b)))
✓	0.1b	(/.f64 (.f64 (.f64 b b) (neg.f64 (+.f64 a b))) (-.f64 a b))

Compiler

Compiled 48 to 27 computations (43.8% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 22 to 9 computations (59.1% saved)

series24.0ms (0.8%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
20.0ms	a	@	-inf	(/.f64 1 (+.f64 a b))
1.0ms	a	@	inf	(/.f64 1 (+.f64 a b))
0.0ms	a	@	0	(/.f64 1 (+.f64 a b))
0.0ms	b	@	0	(/.f64 1 (+.f64 a b))
0.0ms	b	@	inf	(/.f64 1 (+.f64 a b))

rewrite48.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

795×	`pow1_binary64`
742×	`add-log-exp_binary64`
742×	`log1p-expm1-u_binary64`
742×	`expm1-log1p-u_binary64`
725×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	154	14
2	2137	14

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

Outputs

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

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

simplify54.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

734×	`associate-/l*_binary64`
662×	`fma-def_binary64`
588×	`associate-/r*_binary64`
428×	`associate-*l/_binary64`
338×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	792
1	113	741
2	328	660
3	1293	630
4	7995	630

Stop Event

1×	node limit

Counts

106 → 82

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

eval37.0ms (1.2%)

Compiler: Compiled 1049 to 484 computations (53.9% saved)

prune11.0ms (0.4%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	82	5	87

Error

Counts

87 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(*.f64 (+.f64 a b) (+.f64 a b))
✓	0.0b	(.f64 b (-.f64 b (.f64 a -2)))
✓	0.3b	(*.f64 b b)
✓	0.3b	(/.f64 (+.f64 a b) (/.f64 1 (+.f64 a b)))
✓	0.1b	(/.f64 (.f64 (.f64 b b) (neg.f64 (+.f64 a b))) (-.f64 a b))

Compiler

Compiled 48 to 27 computations (43.8% saved)

regimes19.0ms (0.6%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 60 to 27 computations (55% saved)

regimes6.0ms (0.2%)

Accuracy

Total -0.2b remaining (-422%)

Threshold costs -0.2b (-422%)

Counts

2 → 1

Calls

Call 1

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

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

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 11 computations (38.9% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
4×	`*-commutative_binary64`
3×	`sub-neg_binary64`
2×	`distribute-rgt-neg-in_binary64`
2×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	18	24
2	31	24
3	35	24
4	37	24

Stop Event

1×

saturated

Calls

Call 1

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

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

end26.0ms (0.8%)

Stop Event

1×

done

Remove

(sort a b)

Compiler

Compiled 60 to 30 computations (50% saved)

Details

analyze0.0ms (0%)

sample849.0ms (27.3%)

preprocess19.0ms (0.6%)

simplify9.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series9.0ms (0.3%)

rewrite44.0ms (1.4%)

simplify152.0ms (4.9%)

eval8.0ms (0.3%)

prune7.0ms (0.2%)

localize3.0ms (0.1%)

localize8.0ms (0.3%)

series4.0ms (0.1%)

rewrite43.0ms (1.4%)

simplify155.0ms (5%)

localize11.0ms (0.4%)

series3.0ms (0.1%)

rewrite46.0ms (1.5%)

simplify150.0ms (4.8%)

localize13.0ms (0.4%)

series8.0ms (0.2%)

rewrite92.0ms (3%)

simplify43.0ms (1.4%)

eval67.0ms (2.2%)

prune35.0ms (1.1%)

localize11.0ms (0.3%)

series11.0ms (0.4%)

rewrite67.0ms (2.1%)

simplify59.0ms (1.9%)

localize127.0ms (4.1%)

series6.0ms (0.2%)

rewrite167.0ms (5.4%)

simplify135.0ms (4.3%)

localize8.0ms (0.2%)

series3.0ms (0.1%)

rewrite48.0ms (1.5%)

simplify165.0ms (5.3%)

eval226.0ms (7.2%)

prune64.0ms (2.1%)

localize7.0ms (0.2%)

series24.0ms (0.8%)

rewrite48.0ms (1.5%)

simplify54.0ms (1.7%)

eval37.0ms (1.2%)

prune11.0ms (0.4%)

regimes19.0ms (0.6%)

regimes6.0ms (0.2%)

simplify3.0ms (0.1%)

end26.0ms (0.8%)

Profiling