Details

analyze52.0ms (1.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
37.5%	43.7%	18.8%	7
46.8%	34.3%	18.8%	8
53.1%	23.4%	23.5%	9
58.5%	18%	23.5%	10
62%	12.1%	25.9%	11
65%	9.2%	25.9%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample724.0ms (18.5%)

Results

692.0ms	8256×	body	256	valid
21.0ms	257×	body	256	invalid

preprocess22.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

327×	`fma-def_binary64`
30×	`distribute-rgt-in_binary64`
25×	`sub-neg_binary64`
24×	`distribute-lft-in_binary64`
24×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	24
1	35	24
2	100	24
3	147	24
4	215	24
5	309	24
6	354	24
7	413	24
8	668	24
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
(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
(neg.f64 (.f64 (.f64 (*.f64 b b) a) a))

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

Symmetry

(sort a b)

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

284×	`fma-def_binary64`
31×	`associate-l_binary64`
24×	`distribute-rgt-in_binary64`
24×	`sub-neg_binary64`
19×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	21	12
2	59	12
3	122	12
4	192	12
5	260	12
6	323	12
7	372	12
8	517	12
9	601	12

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 18 to 9 computations (50% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

17.8b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	23.1b	(.f64 (.f64 a a) (*.f64 b (neg.f64 b)))
▶	17.8b	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))

Compiler

Compiled 20 to 12 computations (40% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	5.5b	(.f64 (.f64 (*.f64 a a) b) b)
✓	11.7b	(.f64 (.f64 a a) b)

Compiler

Compiled 27 to 6 computations (77.8% saved)

series8.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite42.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

554×	`pow1_binary64`
509×	`add-log-exp_binary64`
509×	`log1p-expm1-u_binary64`
509×	`expm1-log1p-u_binary64`
495×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	121	14
2	1480	14

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

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

Outputs

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

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

simplify108.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

2154×	`associate-l_binary64`
1800×	`associate-r_binary64`
764×	`sqr-pow_binary64`
304×	`unswap-sqr_binary64`
257×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	408
1	18	408
2	39	408
3	108	408
4	483	408
5	1067	408
6	1133	408
7	1233	408
8	1353	408
9	1475	408
10	1622	408
11	1786	408
12	1975	408
13	2188	408
14	2418	408
15	2662	408
16	2927	408
17	3206	408
18	3506	408
19	3820	408

Stop Event

1×	node limit

Counts

70 → 26

Calls

Call 1

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

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

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	22.6b	(.f64 (.f64 a a) (*.f64 b (neg.f64 b)))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite37.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

569×	`pow1_binary64`
524×	`add-log-exp_binary64`
523×	`log1p-expm1-u_binary64`
523×	`expm1-log1p-u_binary64`
510×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	146	7
2	1913	7

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

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

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

Outputs

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

simplify74.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

744×	`unswap-sqr_binary64`
706×	`fma-def_binary64`
579×	`distribute-rgt-neg-in_binary64`
571×	`distribute-lft-neg-in_binary64`
391×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	288
1	22	288
2	59	288
3	214	288
4	918	288
5	1995	288
6	2870	288
7	3838	288
8	4972	288
9	5812	288
10	6506	288

Stop Event

1×	node limit

Counts

36 → 14

Calls

Call 1

Inputs
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))

Outputs
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(.f64 (.f64 b b) (neg.f64 (*.f64 a a)))
(.f64 a (.f64 a (neg.f64 (*.f64 b b))))
(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(.f64 (.f64 b b) (neg.f64 (*.f64 a a)))
(.f64 a (.f64 a (neg.f64 (*.f64 b b))))
(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(.f64 (.f64 b b) (neg.f64 (*.f64 a a)))
(.f64 a (.f64 a (neg.f64 (*.f64 b b))))
(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(.f64 (.f64 b b) (neg.f64 (*.f64 a a)))
(.f64 a (.f64 a (neg.f64 (*.f64 b b))))
(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(.f64 (.f64 b b) (neg.f64 (*.f64 a a)))
(.f64 a (.f64 a (neg.f64 (*.f64 b b))))
(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(.f64 (.f64 b b) (neg.f64 (*.f64 a a)))
(.f64 a (.f64 a (neg.f64 (*.f64 b b))))
(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(.f64 (.f64 b b) (neg.f64 (*.f64 a a)))
(.f64 a (.f64 a (neg.f64 (*.f64 b b))))
(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(.f64 (.f64 b b) (neg.f64 (*.f64 a a)))
(.f64 a (.f64 a (neg.f64 (*.f64 b b))))
(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(.f64 (.f64 b b) (neg.f64 (*.f64 a a)))
(.f64 a (.f64 a (neg.f64 (*.f64 b b))))
(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(.f64 (.f64 b b) (neg.f64 (*.f64 a a)))
(.f64 a (.f64 a (neg.f64 (*.f64 b b))))
(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(.f64 (.f64 b b) (neg.f64 (*.f64 a a)))
(.f64 a (.f64 a (neg.f64 (*.f64 b b))))
(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(.f64 (.f64 b b) (neg.f64 (*.f64 a a)))
(.f64 a (.f64 a (neg.f64 (*.f64 b b))))
(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(.f64 (.f64 b b) (neg.f64 (*.f64 a a)))
(.f64 a (.f64 a (neg.f64 (*.f64 b b))))
(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(.f64 (.f64 b b) (neg.f64 (*.f64 a a)))
(.f64 a (.f64 a (neg.f64 (*.f64 b b))))
(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(.f64 (.f64 b b) (neg.f64 (*.f64 a a)))
(.f64 a (.f64 a (neg.f64 (*.f64 b b))))
(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(.f64 (.f64 b b) (neg.f64 (*.f64 a a)))
(.f64 a (.f64 a (neg.f64 (*.f64 b b))))
(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(.f64 (.f64 b b) (neg.f64 (*.f64 a a)))
(.f64 a (.f64 a (neg.f64 (*.f64 b b))))
(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(.f64 (.f64 b b) (neg.f64 (*.f64 a a)))
(.f64 a (.f64 a (neg.f64 (*.f64 b b))))
(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(.f64 (.f64 b b) (neg.f64 (*.f64 a a)))
(.f64 a (.f64 a (neg.f64 (*.f64 b b))))
(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(.f64 (.f64 b b) (neg.f64 (*.f64 a a)))
(.f64 a (.f64 a (neg.f64 (*.f64 b b))))
(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(.f64 (.f64 b b) (neg.f64 (*.f64 a a)))
(.f64 a (.f64 a (neg.f64 (*.f64 b b))))
(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(.f64 (.f64 b b) (neg.f64 (*.f64 a a)))
(.f64 a (.f64 a (neg.f64 (*.f64 b b))))
(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(.f64 (.f64 b b) (neg.f64 (*.f64 a a)))
(.f64 a (.f64 a (neg.f64 (*.f64 b b))))
(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(.f64 (.f64 b b) (neg.f64 (*.f64 a a)))
(.f64 a (.f64 a (neg.f64 (*.f64 b b))))
(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))

eval8.0ms (0.2%)

Compiler: Compiled 348 to 200 computations (42.5% saved)

prune11.0ms (0.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	34	6	40
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	34	8	42

Error

0.1b

Counts

42 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.3b	(neg.f64 (.f64 a (.f64 a (*.f64 b b))))
✓	17.8b	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
▶	0.4b	(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
▶	18.4b	(neg.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 2) b))
▶	28.3b	(neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3)))
✓	23.1b	(.f64 (.f64 a a) (*.f64 b (neg.f64 b)))
	0.9b	(neg.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 2)) 3))
▶	5.8b	(neg.f64 (.f64 (.f64 a (*.f64 a b)) b))

Compiler

Compiled 146 to 98 computations (32.9% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (.f64 a b) (*.f64 a b))

Compiler

Compiled 22 to 5 computations (77.3% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite33.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

485×	`pow1_binary64`
460×	`add-sqr-sqrt_binary64`
454×	`*-un-lft-identity_binary64`
447×	`add-log-exp_binary64`
447×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	103	7
2	1272	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify157.0ms (4%)

Algorithm

1×	egg-herbie

Rules

1022×	`sqr-pow_binary64`
719×	`associate-l_binary64`
648×	`cube-prod_binary64`
567×	`fabs-mul_binary64`
505×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	240
1	16	240
2	37	240
3	103	240
4	432	240
5	2343	240
6	2435	240
7	2636	240
8	2834	240
9	3072	240
10	3391	240
11	4063	240
12	4557	240
13	5205	240
14	5943	240
15	6504	240
16	6848	240
17	7176	240
18	7270	240
19	7302	240
20	7955	240

Stop Event

1×	node limit

Counts

35 → 13

Calls

Call 1

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

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

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	5.3b	(.f64 a (.f64 a (*.f64 b b)))
✓	10.4b	(.f64 a (.f64 b b))

Compiler

Compiled 27 to 6 computations (77.8% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite39.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

555×	`pow1_binary64`
510×	`add-log-exp_binary64`
510×	`log1p-expm1-u_binary64`
510×	`expm1-log1p-u_binary64`
496×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	121	14
2	1482	14

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

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

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

simplify104.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

2164×	`associate-l_binary64`
1800×	`associate-r_binary64`
764×	`sqr-pow_binary64`
304×	`unswap-sqr_binary64`
257×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	408
1	18	408
2	39	408
3	108	408
4	485	408
5	1066	408
6	1132	408
7	1232	408
8	1352	408
9	1474	408
10	1621	408
11	1785	408
12	1974	408
13	2189	408
14	2419	408
15	2663	408
16	2928	408
17	3207	408
18	3507	408
19	3821	408

Stop Event

1×	node limit

Counts

70 → 26

Calls

Call 1

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

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

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 a (.f64 a b))
✓	5.5b	(.f64 (.f64 a (*.f64 a b)) b)

Compiler

Compiled 27 to 6 computations (77.8% saved)

series3.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite40.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

567×	`pow1_binary64`
520×	`add-log-exp_binary64`
520×	`log1p-expm1-u_binary64`
520×	`expm1-log1p-u_binary64`
508×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	121	14
2	1522	14

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

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

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

simplify103.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

2170×	`associate-l_binary64`
1807×	`associate-r_binary64`
764×	`sqr-pow_binary64`
304×	`unswap-sqr_binary64`
257×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	408
1	18	408
2	39	408
3	108	408
4	483	408
5	1066	408
6	1132	408
7	1232	408
8	1352	408
9	1474	408
10	1621	408
11	1785	408
12	1974	408
13	2187	408
14	2417	408
15	2661	408
16	2926	408
17	3205	408
18	3505	408
19	3819	408

Stop Event

1×	node limit

Counts

70 → 26

Calls

Call 1

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

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

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 a (sqrt.f64 b))
✓	0.2b	(pow.f64 (*.f64 a (sqrt.f64 b)) 2)
✓	4.8b	(.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 2) b)

Compiler

Compiled 34 to 14 computations (58.8% saved)

series15.0ms (0.4%)

Counts

3 → 36

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	a	@	-inf	(.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 2) b)
3.0ms	b	@	0	(pow.f64 (*.f64 a (sqrt.f64 b)) 2)
1.0ms	b	@	-inf	(.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 2) b)
1.0ms	b	@	-inf	(pow.f64 (*.f64 a (sqrt.f64 b)) 2)
1.0ms	b	@	inf	(pow.f64 (*.f64 a (sqrt.f64 b)) 2)

rewrite49.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

682×	`pow1_binary64`
628×	`add-log-exp_binary64`
628×	`log1p-expm1-u_binary64`
628×	`expm1-log1p-u_binary64`
610×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	165	23
2	1855	23

Stop Event

1×	node limit

Counts

3 → 50

Calls

Call 1

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

Outputs

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

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

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

simplify72.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

616×	`fma-neg_binary64`
559×	`unswap-sqr_binary64`
383×	`distribute-rgt-neg-in_binary64`
360×	`unsub-neg_binary64`
359×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	324
1	33	324
2	102	324
3	444	324
4	1149	324
5	3002	324
6	4941	324
7	6129	324
8	7064	324
9	7580	324

Stop Event

1×

unsound

Counts

86 → 55

Calls

Call 1

Inputs
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)

Outputs
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 b (.f64 a (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 b (.f64 a (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 b (.f64 a (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 b (.f64 a (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 b (.f64 a (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 b (.f64 a (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 b (.f64 a (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 b (.f64 a (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 b (.f64 a (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 b (.f64 a (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 b (.f64 a (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 b (.f64 a (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 b (.f64 a (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 b (.f64 a (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 b (.f64 a (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 b (.f64 a (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 b (.f64 a (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 b (.f64 a (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 b (.f64 a (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 b (.f64 a (*.f64 a b)))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 b (.f64 a (*.f64 a b)))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 b (.f64 a (*.f64 a b)))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 b (.f64 a (*.f64 a b)))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 b (.f64 a (*.f64 a b)))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))

localize15.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (pow.f64 (*.f64 a b) 2) 3)
✓	0.4b	(pow.f64 (*.f64 a b) 2)
✓	27.2b	(cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))

Compiler

Compiled 38 to 22 computations (42.1% saved)

series9.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(pow.f64 (pow.f64 (*.f64 a b) 2) 3)
1.0ms	b	@	0	(pow.f64 (pow.f64 (*.f64 a b) 2) 3)
1.0ms	a	@	-inf	(pow.f64 (*.f64 a b) 2)
1.0ms	b	@	-inf	(pow.f64 (*.f64 a b) 2)
1.0ms	a	@	0	(pow.f64 (*.f64 a b) 2)

rewrite49.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

676×	`pow1_binary64`
637×	`add-log-exp_binary64`
636×	`log1p-expm1-u_binary64`
636×	`expm1-log1p-u_binary64`
618×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	195	21
2	1914	21

Stop Event

1×	node limit

Counts

3 → 78

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))
(pow.f64 (*.f64 a b) 2)
(pow.f64 (pow.f64 (*.f64 a b) 2) 3)

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 a b) 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a b) (*.f64 (*.f64 a b) (pow.f64 (*.f64 a b) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a b) 2) (pow.f64 (*.f64 a b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a b) 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 a b) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a b) 4) (pow.f64 (*.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) (pow.f64 (*.f64 a b) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a a) (*.f64 (*.f64 b b) (pow.f64 (*.f64 a b) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a b) 3) (pow.f64 (*.f64 a b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a 6) (pow.f64 b 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b 6) (pow.f64 a 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 6) (pow.f64 (cbrt.f64 (*.f64 a b)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 a b)) 6) (pow.f64 (sqrt.f64 (*.f64 a b)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)) 3) (pow.f64 (*.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a a) 3) (pow.f64 (*.f64 b b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 a b) 4) (*.f64 a b)) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 a b) 4) 1) (pow.f64 (*.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 a b) 4) (cbrt.f64 (pow.f64 (*.f64 a b) 4))) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 a b) 4) (*.f64 a a)) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a b) 12))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 a b) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a b)) 6))))))

simplify177.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

1484×	`sqr-pow_binary64`
679×	`cube-prod_binary64`
570×	`pow-sqr_binary64`
510×	`associate-l_binary64`
432×	`associate-r_binary64`

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	11	720
1	27	720
2	71	720
3	292	720
4	1919	720
5	2129	720
6	2486	720
7	2839	720
8	3274	648
9	3809	648
10	4508	504
11	5015	504
12	5398	504
13	5674	504
14	5830	504
15	5942	504
16	6647	504
17	7509	504

Stop Event

1×	node limit

Counts

150 → 56

Calls

Call 1

Inputs
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))

Outputs
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)

eval37.0ms (0.9%)

Compiler: Compiled 1861 to 924 computations (50.3% saved)

prune30.0ms (0.8%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	170	6	176
Fresh	1	0	1
Picked	1	0	1
Done	1	5	6
Total	173	11	184

Error

0.0b

Counts

184 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	16.3b	(neg.f64 (.f64 a (.f64 a (*.f64 b b))))
✓	17.8b	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
▶	1.3b	(neg.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3))
	23.0b	(neg.f64 (.f64 (.f64 (.f64 (.f64 a (sqrt.f64 b)) a) (sqrt.f64 b)) b))
▶	5.5b	(neg.f64 (.f64 (.f64 (*.f64 a b) b) a))
▶	28.3b	(neg.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 6)))
✓	0.4b	(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
▶	6.4b	(neg.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 a (*.f64 a b))) 3) b))
✓	18.4b	(neg.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 2) b))
▶	48.4b	(neg.f64 (.f64 a (pow.f64 (.f64 b (sqrt.f64 a)) 2)))
✓	5.8b	(neg.f64 (.f64 (.f64 a (*.f64 a b)) b))

Compiler

Compiled 187 to 125 computations (33.2% saved)

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
✓	0.5b	(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3)
✓	9.8b	(cbrt.f64 (*.f64 a b))

Compiler

Compiled 36 to 17 computations (52.8% saved)

series19.0ms (0.5%)

Counts

3 → 0

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	b	@	0	(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
3.0ms	a	@	-inf	(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3)
2.0ms	a	@	0	(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3)
1.0ms	b	@	-inf	(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3)
1.0ms	a	@	inf	(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3)

rewrite53.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

711×	`pow1_binary64`
667×	`add-log-exp_binary64`
666×	`log1p-expm1-u_binary64`
666×	`expm1-log1p-u_binary64`
650×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	192	22
2	1986	22

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 a b))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3)
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)

Outputs

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

((#(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 a (*.f64 b (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (*.f64 a (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a b) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a b)) (*.f64 (cbrt.f64 (*.f64 a b)) (pow.f64 (cbrt.f64 (*.f64 a b)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) (pow.f64 (cbrt.f64 (*.f64 a b)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a b) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a a) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b b) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 a b))) 2) (pow.f64 (cbrt.f64 (*.f64 a b)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a b)) (*.f64 (sqrt.f64 (*.f64 a b)) (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a b) (sqrt.f64 (*.f64 a b))) (sqrt.f64 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 a b))) 2) 6) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 a b))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 6) (pow.f64 (cbrt.f64 b) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 a b) 1/6) 6) (pow.f64 (pow.f64 (*.f64 a b) 1/6) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4)) 3) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a b) a) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a b) b) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a b) (pow.f64 (cbrt.f64 (*.f64 a b)) 2)) (cbrt.f64 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4) (cbrt.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)) 4) 1) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 a b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 12))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))))))

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

71 → 71

Calls

Call 1

Inputs

Outputs

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 a b) b)
✓	5.3b	(.f64 (.f64 (*.f64 a b) b) a)

Compiler

Compiled 27 to 6 computations (77.8% saved)

series3.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite42.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

549×	`pow1_binary64`
519×	`add-sqr-sqrt_binary64`
503×	`add-log-exp_binary64`
503×	`log1p-expm1-u_binary64`
503×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	121	14
2	1444	14

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

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

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

simplify105.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

2156×	`associate-l_binary64`
1787×	`associate-r_binary64`
764×	`sqr-pow_binary64`
304×	`unswap-sqr_binary64`
257×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	408
1	18	408
2	39	408
3	108	408
4	477	408
5	1056	408
6	1122	408
7	1222	408
8	1342	408
9	1464	408
10	1611	408
11	1775	408
12	1964	408
13	2179	408
14	2409	408
15	2653	408
16	2918	408
17	3197	408
18	3497	408
19	3811	408

Stop Event

1×	node limit

Counts

70 → 26

Calls

Call 1

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

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

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (*.f64 a b) 6)
✓	27.2b	(cbrt.f64 (pow.f64 (*.f64 a b) 6))

Compiler

Compiled 26 to 13 computations (50% saved)

series9.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	a	@	0	(pow.f64 (*.f64 a b) 6)
2.0ms	b	@	0	(pow.f64 (*.f64 a b) 6)
1.0ms	b	@	-inf	(pow.f64 (*.f64 a b) 6)
1.0ms	a	@	-inf	(pow.f64 (*.f64 a b) 6)
1.0ms	b	@	inf	(pow.f64 (*.f64 a b) 6)

rewrite42.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

609×	`pow1_binary64`
570×	`add-log-exp_binary64`
570×	`log1p-expm1-u_binary64`
570×	`expm1-log1p-u_binary64`
554×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	146	14
2	1681	14

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (*.f64 a b) 6))
(pow.f64 (*.f64 a b) 6)

Outputs

((#(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 a (*.f64 b (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (*.f64 a (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a b) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a b) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b b) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a a) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 12))))))) (#(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 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 12))) (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 (*.f64 (*.f64 a b) (sqrt.f64 (*.f64 a b))) (sqrt.f64 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (*.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 12)) 1/3) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 a 6) 1/3) (pow.f64 (pow.f64 b 6) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a b) a) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a b) b) a)))) (#(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) 6) 1/3)))) (#(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 (cbrt.f64 (*.f64 a b)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.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 log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 a b) 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a b) 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a b) 2) (cbrt.f64 (pow.f64 (*.f64 a b) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 a b) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 12)) (pow.f64 (*.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a 6) (pow.f64 b 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b 6) (pow.f64 a 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a b) 3) (pow.f64 (*.f64 a b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 6) (pow.f64 (cbrt.f64 (*.f64 a b)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 a b)) 6) (pow.f64 (sqrt.f64 (*.f64 a b)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 12)) 1) (pow.f64 (*.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 12)) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 12)))) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 12)) (*.f64 a b)) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a b) 12))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 a b) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 6 (log.f64 (*.f64 a b))))))))

simplify167.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

1484×	`sqr-pow_binary64`
679×	`cube-prod_binary64`
570×	`pow-sqr_binary64`
510×	`associate-l_binary64`
432×	`associate-r_binary64`

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	11	480
1	27	480
2	71	480
3	292	480
4	1919	480
5	2129	480
6	2486	480
7	2839	480
8	3274	408
9	3809	408
10	4508	336
11	5015	336
12	5398	336
13	5674	336
14	5830	336
15	5942	336
16	6647	336
17	7509	336

Stop Event

1×	node limit

Counts

95 → 49

Calls

Call 1

Inputs
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))

Outputs
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(pow.f64 (*.f64 a b) 6)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 b (sqrt.f64 a))
✓	0.1b	(pow.f64 (*.f64 b (sqrt.f64 a)) 2)
✓	1.2b	(.f64 a (pow.f64 (.f64 b (sqrt.f64 a)) 2))

Compiler

Compiled 34 to 14 computations (58.8% saved)

series11.0ms (0.3%)

Counts

3 → 48

Calls

18 calls:

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

rewrite45.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

682×	`pow1_binary64`
628×	`add-log-exp_binary64`
628×	`log1p-expm1-u_binary64`
628×	`expm1-log1p-u_binary64`
610×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	165	23
2	1855	23

Stop Event

1×	node limit

Counts

3 → 50

Calls

Call 1

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

Outputs

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

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

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

simplify78.0ms (2%)

Algorithm

1×	egg-herbie

Rules

606×	`fma-neg_binary64`
528×	`unswap-sqr_binary64`
383×	`distribute-rgt-neg-in_binary64`
354×	`unsub-neg_binary64`
344×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	396
1	36	396
2	104	396
3	447	396
4	1129	396
5	2938	396
6	4831	396
7	5994	396
8	6913	396
9	7423	396

Stop Event

1×

unsound

Counts

98 → 57

Calls

Call 1

Inputs
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 (sqrt.f64 a) b)
(*.f64 (sqrt.f64 a) b)
(*.f64 (sqrt.f64 a) b)
(*.f64 (sqrt.f64 a) b)
(*.f64 (sqrt.f64 a) b)
(*.f64 (sqrt.f64 a) b)
(*.f64 (sqrt.f64 a) b)
(*.f64 (sqrt.f64 a) b)
(*.f64 (sqrt.f64 a) b)
(*.f64 (sqrt.f64 a) b)
(*.f64 (sqrt.f64 a) b)
(*.f64 (sqrt.f64 a) b)

Outputs
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 b (*.f64 b a)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 b (*.f64 b a)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 b (*.f64 b a)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 b (*.f64 b a)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 b (*.f64 b a)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 b (*.f64 b a)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 b (*.f64 b a)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 b (*.f64 b a)))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 b (*.f64 b a)))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 b (*.f64 b a)))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 b (*.f64 b a)))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 b (*.f64 b a)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 b (*.f64 b a)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 b (*.f64 b a)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 b (*.f64 b a)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 b (*.f64 b a)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 b (*.f64 b a)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 b (*.f64 b a)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 b (*.f64 b a)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 b (*.f64 b a)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 b (*.f64 b a)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 b (*.f64 b a)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 b (*.f64 b a)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 b (*.f64 b a)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(.f64 b (.f64 b a))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(.f64 b (.f64 b a))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(.f64 b (.f64 b a))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(.f64 b (.f64 b a))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(.f64 b (.f64 b a))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(.f64 b (.f64 b a))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(.f64 b (.f64 b a))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(.f64 b (.f64 b a))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(.f64 b (.f64 b a))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(.f64 b (.f64 b a))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(.f64 b (.f64 b a))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(.f64 b (.f64 b a))
(*.f64 (sqrt.f64 a) b)
(*.f64 b (sqrt.f64 a))
(*.f64 (sqrt.f64 a) b)
(*.f64 b (sqrt.f64 a))
(*.f64 (sqrt.f64 a) b)
(*.f64 b (sqrt.f64 a))
(*.f64 (sqrt.f64 a) b)
(*.f64 b (sqrt.f64 a))
(*.f64 (sqrt.f64 a) b)
(*.f64 b (sqrt.f64 a))
(*.f64 (sqrt.f64 a) b)
(*.f64 b (sqrt.f64 a))
(*.f64 (sqrt.f64 a) b)
(*.f64 b (sqrt.f64 a))
(*.f64 (sqrt.f64 a) b)
(*.f64 b (sqrt.f64 a))
(*.f64 (sqrt.f64 a) b)
(*.f64 b (sqrt.f64 a))
(*.f64 (sqrt.f64 a) b)
(*.f64 b (sqrt.f64 a))
(*.f64 (sqrt.f64 a) b)
(*.f64 b (sqrt.f64 a))
(*.f64 (sqrt.f64 a) b)
(*.f64 b (sqrt.f64 a))

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 a (.f64 a b))
✓	0.5b	(pow.f64 (cbrt.f64 (.f64 a (.f64 a b))) 3)
✓	5.5b	(.f64 (pow.f64 (cbrt.f64 (.f64 a (*.f64 a b))) 3) b)
✓	22.3b	(cbrt.f64 (.f64 a (.f64 a b)))

Compiler

Compiled 48 to 15 computations (68.8% saved)

series15.0ms (0.4%)

Counts

3 → 24

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	b	@	-inf	(.f64 (pow.f64 (cbrt.f64 (.f64 a (*.f64 a b))) 3) b)
2.0ms	b	@	-inf	(pow.f64 (cbrt.f64 (.f64 a (.f64 a b))) 3)
1.0ms	b	@	inf	(pow.f64 (cbrt.f64 (.f64 a (.f64 a b))) 3)
1.0ms	a	@	0	(pow.f64 (cbrt.f64 (.f64 a (.f64 a b))) 3)
1.0ms	a	@	inf	(pow.f64 (cbrt.f64 (.f64 a (.f64 a b))) 3)

rewrite92.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

727×	`pow1_binary64`
679×	`add-log-exp_binary64`
679×	`log1p-expm1-u_binary64`
679×	`expm1-log1p-u_binary64`
663×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	189	23
2	2006	23

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

Inputs
(cbrt.f64 (.f64 a (.f64 a b)))
(.f64 (pow.f64 (cbrt.f64 (.f64 a (*.f64 a b))) 3) b)
(pow.f64 (cbrt.f64 (.f64 a (.f64 a b))) 3)

Outputs

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

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

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

simplify181.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

1022×	`sqr-pow_binary64`
719×	`associate-l_binary64`
648×	`cube-prod_binary64`
567×	`fabs-mul_binary64`
505×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	240
1	16	240
2	37	240
3	103	240
4	432	240
5	2343	240
6	2435	240
7	2636	240
8	2834	240
9	3072	240
10	3391	240
11	4063	240
12	4557	240
13	5205	240
14	5943	240
15	6504	240
16	6848	240
17	7176	240
18	7270	240
19	7302	240
20	7955	240

Stop Event

1×	node limit

Counts

98 → 76

Calls

Call 1

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

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

eval94.0ms (2.4%)

Compiler: Compiled 3536 to 1660 computations (53.1% saved)

prune44.0ms (1.1%)

Pruning

13 alts after pruning (3 fresh and 10 done)

	Pruned	Kept	Total
New	290	2	292
Fresh	0	1	1
Picked	0	1	1
Done	0	9	9
Total	290	13	303

Error

0.0b

Counts

303 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.3b	(neg.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 6)))
▶	6.4b	(neg.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) (.f64 a b))) b))
▶	51.4b	(neg.f64 (.f64 a (.f64 (.f64 (.f64 b (sqrt.f64 a)) (cbrt.f64 (.f64 a (.f64 b b)))) (cbrt.f64 (*.f64 b (sqrt.f64 a))))))
✓	48.4b	(neg.f64 (.f64 a (pow.f64 (.f64 b (sqrt.f64 a)) 2)))
✓	16.3b	(neg.f64 (.f64 a (.f64 a (*.f64 b b))))
✓	17.8b	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
✓	1.3b	(neg.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3))
▶	23.0b	(neg.f64 (.f64 (.f64 (.f64 (.f64 a (sqrt.f64 b)) a) (sqrt.f64 b)) b))
✓	5.5b	(neg.f64 (.f64 (.f64 (*.f64 a b) b) a))
✓	0.4b	(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
✓	6.4b	(neg.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 a (*.f64 a b))) 3) b))
✓	18.4b	(neg.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 2) b))
✓	5.8b	(neg.f64 (.f64 (.f64 a (*.f64 a b)) b))

Compiler

Compiled 157 to 100 computations (36.3% saved)

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(cbrt.f64 (*.f64 b (sqrt.f64 a)))
✓	1.2b	(.f64 a (.f64 (.f64 (.f64 b (sqrt.f64 a)) (cbrt.f64 (.f64 a (.f64 b b)))) (cbrt.f64 (*.f64 b (sqrt.f64 a)))))
	10.4b	(.f64 a (.f64 b b))
✓	21.8b	(cbrt.f64 (.f64 a (.f64 b b)))

Compiler

Compiled 96 to 12 computations (87.5% saved)

series57.0ms (1.5%)

Counts

3 → 36

Calls

18 calls:

Time	Variable		Point	Expression
31.0ms	a	@	0	(cbrt.f64 (*.f64 b (sqrt.f64 a)))
12.0ms	a	@	inf	(cbrt.f64 (*.f64 b (sqrt.f64 a)))
4.0ms	a	@	-inf	(.f64 a (.f64 (.f64 (.f64 b (sqrt.f64 a)) (cbrt.f64 (.f64 a (.f64 b b)))) (cbrt.f64 (*.f64 b (sqrt.f64 a)))))
2.0ms	a	@	-inf	(cbrt.f64 (*.f64 b (sqrt.f64 a)))
1.0ms	b	@	-inf	(.f64 a (.f64 (.f64 (.f64 b (sqrt.f64 a)) (cbrt.f64 (.f64 a (.f64 b b)))) (cbrt.f64 (*.f64 b (sqrt.f64 a)))))

rewrite58.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

996×	`pow1_binary64`
922×	`add-log-exp_binary64`
922×	`log1p-expm1-u_binary64`
922×	`expm1-log1p-u_binary64`
164×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	47
1	243	24
2	3100	24

Stop Event

1×	node limit

Counts

3 → 69

Calls

Call 1

Inputs
(cbrt.f64 (.f64 a (.f64 b b)))
(.f64 a (.f64 (.f64 (.f64 b (sqrt.f64 a)) (cbrt.f64 (.f64 a (.f64 b b)))) (cbrt.f64 (*.f64 b (sqrt.f64 a)))))
(cbrt.f64 (*.f64 b (sqrt.f64 a)))

Outputs

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

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

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

simplify79.0ms (2%)

Algorithm

1×	egg-herbie

Rules

622×	`fma-def_binary64`
458×	`distribute-rgt-neg-in_binary64`
446×	`unswap-sqr_binary64`
428×	`distribute-lft-neg-in_binary64`
407×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	512
1	91	512
2	260	432
3	1131	432
4	1839	432
5	2813	432
6	3656	432
7	4730	432
8	5448	432
9	6245	432

Stop Event

1×	node limit

Counts

105 → 78

Calls

Call 1

Inputs
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 -1 (.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 -1) 4) 1) 1/3) (.f64 (pow.f64 a 2) (*.f64 (cbrt.f64 -1) (pow.f64 b 2)))))
(.f64 -1 (.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 -1) 4) 1) 1/3) (.f64 (pow.f64 a 2) (*.f64 (cbrt.f64 -1) (pow.f64 b 2)))))
(.f64 -1 (.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 -1) 4) 1) 1/3) (.f64 (pow.f64 a 2) (*.f64 (cbrt.f64 -1) (pow.f64 b 2)))))
(.f64 -1 (.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 -1) 4) 1) 1/3) (.f64 (pow.f64 a 2) (*.f64 (cbrt.f64 -1) (pow.f64 b 2)))))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 -1 (.f64 (pow.f64 a 2) (*.f64 (cbrt.f64 -1) (pow.f64 b 2))))
(.f64 -1 (.f64 (pow.f64 a 2) (*.f64 (cbrt.f64 -1) (pow.f64 b 2))))
(.f64 -1 (.f64 (pow.f64 a 2) (*.f64 (cbrt.f64 -1) (pow.f64 b 2))))
(.f64 -1 (.f64 (pow.f64 a 2) (*.f64 (cbrt.f64 -1) (pow.f64 b 2))))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 a 1/6) (pow.f64 b 1/3)))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 a 1/6) (pow.f64 b 1/3)))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 a 1/6) (pow.f64 b 1/3)))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 a 1/6) (pow.f64 b 1/3)))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 a 1/6) (pow.f64 b 1/3)))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 a 1/6) (pow.f64 b 1/3)))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 a 1/6) (pow.f64 b 1/3)))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 a 1/6) (pow.f64 b 1/3)))
(.f64 (pow.f64 (.f64 -1 a) 1/6) (pow.f64 (.f64 (sqrt.f64 -1) (.f64 1 b)) 1/3))
(.f64 (pow.f64 (.f64 -1 a) 1/6) (pow.f64 (.f64 (sqrt.f64 -1) (.f64 1 b)) 1/3))
(.f64 (pow.f64 (.f64 -1 a) 1/6) (pow.f64 (.f64 (sqrt.f64 -1) (.f64 1 b)) 1/3))
(.f64 (pow.f64 (.f64 -1 a) 1/6) (pow.f64 (.f64 (sqrt.f64 -1) (.f64 1 b)) 1/3))

Outputs
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 -1 (.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 -1) 4) 1) 1/3) (.f64 (pow.f64 a 2) (*.f64 (cbrt.f64 -1) (pow.f64 b 2)))))
(neg.f64 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 -1) 4)) (.f64 (.f64 a a) (.f64 (*.f64 b b) (cbrt.f64 -1)))))
(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 -1) 4)) (.f64 (.f64 (.f64 b b) (cbrt.f64 -1)) (*.f64 (neg.f64 a) a)))
(.f64 a (neg.f64 (.f64 a (.f64 (.f64 b b) (cbrt.f64 -1)))))
(.f64 a (.f64 a (.f64 b (.f64 b (neg.f64 (cbrt.f64 -1))))))
(.f64 b (.f64 (.f64 a (.f64 a (cbrt.f64 -1))) (neg.f64 b)))
(.f64 (.f64 a a) (.f64 (cbrt.f64 -1) (.f64 b (neg.f64 b))))
(.f64 -1 (.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 -1) 4) 1) 1/3) (.f64 (pow.f64 a 2) (*.f64 (cbrt.f64 -1) (pow.f64 b 2)))))
(neg.f64 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 -1) 4)) (.f64 (.f64 a a) (.f64 (*.f64 b b) (cbrt.f64 -1)))))
(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 -1) 4)) (.f64 (.f64 (.f64 b b) (cbrt.f64 -1)) (*.f64 (neg.f64 a) a)))
(.f64 a (neg.f64 (.f64 a (.f64 (.f64 b b) (cbrt.f64 -1)))))
(.f64 a (.f64 a (.f64 b (.f64 b (neg.f64 (cbrt.f64 -1))))))
(.f64 b (.f64 (.f64 a (.f64 a (cbrt.f64 -1))) (neg.f64 b)))
(.f64 (.f64 a a) (.f64 (cbrt.f64 -1) (.f64 b (neg.f64 b))))
(.f64 -1 (.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 -1) 4) 1) 1/3) (.f64 (pow.f64 a 2) (*.f64 (cbrt.f64 -1) (pow.f64 b 2)))))
(neg.f64 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 -1) 4)) (.f64 (.f64 a a) (.f64 (*.f64 b b) (cbrt.f64 -1)))))
(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 -1) 4)) (.f64 (.f64 (.f64 b b) (cbrt.f64 -1)) (*.f64 (neg.f64 a) a)))
(.f64 a (neg.f64 (.f64 a (.f64 (.f64 b b) (cbrt.f64 -1)))))
(.f64 a (.f64 a (.f64 b (.f64 b (neg.f64 (cbrt.f64 -1))))))
(.f64 b (.f64 (.f64 a (.f64 a (cbrt.f64 -1))) (neg.f64 b)))
(.f64 (.f64 a a) (.f64 (cbrt.f64 -1) (.f64 b (neg.f64 b))))
(.f64 -1 (.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 -1) 4) 1) 1/3) (.f64 (pow.f64 a 2) (*.f64 (cbrt.f64 -1) (pow.f64 b 2)))))
(neg.f64 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 -1) 4)) (.f64 (.f64 a a) (.f64 (*.f64 b b) (cbrt.f64 -1)))))
(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 -1) 4)) (.f64 (.f64 (.f64 b b) (cbrt.f64 -1)) (*.f64 (neg.f64 a) a)))
(.f64 a (neg.f64 (.f64 a (.f64 (.f64 b b) (cbrt.f64 -1)))))
(.f64 a (.f64 a (.f64 b (.f64 b (neg.f64 (cbrt.f64 -1))))))
(.f64 b (.f64 (.f64 a (.f64 a (cbrt.f64 -1))) (neg.f64 b)))
(.f64 (.f64 a a) (.f64 (cbrt.f64 -1) (.f64 b (neg.f64 b))))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 -1 (.f64 (pow.f64 a 2) (*.f64 (cbrt.f64 -1) (pow.f64 b 2))))
(neg.f64 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 -1) 4)) (.f64 (.f64 a a) (.f64 (*.f64 b b) (cbrt.f64 -1)))))
(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 -1) 4)) (.f64 (.f64 (.f64 b b) (cbrt.f64 -1)) (*.f64 (neg.f64 a) a)))
(.f64 a (neg.f64 (.f64 a (.f64 (.f64 b b) (cbrt.f64 -1)))))
(.f64 a (.f64 a (.f64 b (.f64 b (neg.f64 (cbrt.f64 -1))))))
(.f64 b (.f64 (.f64 a (.f64 a (cbrt.f64 -1))) (neg.f64 b)))
(.f64 (.f64 a a) (.f64 (cbrt.f64 -1) (.f64 b (neg.f64 b))))
(.f64 -1 (.f64 (pow.f64 a 2) (*.f64 (cbrt.f64 -1) (pow.f64 b 2))))
(neg.f64 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 -1) 4)) (.f64 (.f64 a a) (.f64 (*.f64 b b) (cbrt.f64 -1)))))
(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 -1) 4)) (.f64 (.f64 (.f64 b b) (cbrt.f64 -1)) (*.f64 (neg.f64 a) a)))
(.f64 a (neg.f64 (.f64 a (.f64 (.f64 b b) (cbrt.f64 -1)))))
(.f64 a (.f64 a (.f64 b (.f64 b (neg.f64 (cbrt.f64 -1))))))
(.f64 b (.f64 (.f64 a (.f64 a (cbrt.f64 -1))) (neg.f64 b)))
(.f64 (.f64 a a) (.f64 (cbrt.f64 -1) (.f64 b (neg.f64 b))))
(.f64 -1 (.f64 (pow.f64 a 2) (*.f64 (cbrt.f64 -1) (pow.f64 b 2))))
(neg.f64 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 -1) 4)) (.f64 (.f64 a a) (.f64 (*.f64 b b) (cbrt.f64 -1)))))
(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 -1) 4)) (.f64 (.f64 (.f64 b b) (cbrt.f64 -1)) (*.f64 (neg.f64 a) a)))
(.f64 a (neg.f64 (.f64 a (.f64 (.f64 b b) (cbrt.f64 -1)))))
(.f64 a (.f64 a (.f64 b (.f64 b (neg.f64 (cbrt.f64 -1))))))
(.f64 b (.f64 (.f64 a (.f64 a (cbrt.f64 -1))) (neg.f64 b)))
(.f64 (.f64 a a) (.f64 (cbrt.f64 -1) (.f64 b (neg.f64 b))))
(.f64 -1 (.f64 (pow.f64 a 2) (*.f64 (cbrt.f64 -1) (pow.f64 b 2))))
(neg.f64 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 -1) 4)) (.f64 (.f64 a a) (.f64 (*.f64 b b) (cbrt.f64 -1)))))
(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 -1) 4)) (.f64 (.f64 (.f64 b b) (cbrt.f64 -1)) (*.f64 (neg.f64 a) a)))
(.f64 a (neg.f64 (.f64 a (.f64 (.f64 b b) (cbrt.f64 -1)))))
(.f64 a (.f64 a (.f64 b (.f64 b (neg.f64 (cbrt.f64 -1))))))
(.f64 b (.f64 (.f64 a (.f64 a (cbrt.f64 -1))) (neg.f64 b)))
(.f64 (.f64 a a) (.f64 (cbrt.f64 -1) (.f64 b (neg.f64 b))))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 a 1/6) (pow.f64 b 1/3)))
(*.f64 (pow.f64 a 1/6) (cbrt.f64 b))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 a 1/6) (pow.f64 b 1/3)))
(*.f64 (pow.f64 a 1/6) (cbrt.f64 b))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 a 1/6) (pow.f64 b 1/3)))
(*.f64 (pow.f64 a 1/6) (cbrt.f64 b))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 a 1/6) (pow.f64 b 1/3)))
(*.f64 (pow.f64 a 1/6) (cbrt.f64 b))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 a 1/6) (pow.f64 b 1/3)))
(*.f64 (pow.f64 a 1/6) (cbrt.f64 b))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 a 1/6) (pow.f64 b 1/3)))
(*.f64 (pow.f64 a 1/6) (cbrt.f64 b))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 a 1/6) (pow.f64 b 1/3)))
(*.f64 (pow.f64 a 1/6) (cbrt.f64 b))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 a 1/6) (pow.f64 b 1/3)))
(*.f64 (pow.f64 a 1/6) (cbrt.f64 b))
(.f64 (pow.f64 (.f64 -1 a) 1/6) (pow.f64 (.f64 (sqrt.f64 -1) (.f64 1 b)) 1/3))
(.f64 (pow.f64 (neg.f64 a) 1/6) (cbrt.f64 (.f64 b (sqrt.f64 -1))))
(.f64 (pow.f64 (.f64 -1 a) 1/6) (pow.f64 (.f64 (sqrt.f64 -1) (.f64 1 b)) 1/3))
(.f64 (pow.f64 (neg.f64 a) 1/6) (cbrt.f64 (.f64 b (sqrt.f64 -1))))
(.f64 (pow.f64 (.f64 -1 a) 1/6) (pow.f64 (.f64 (sqrt.f64 -1) (.f64 1 b)) 1/3))
(.f64 (pow.f64 (neg.f64 a) 1/6) (cbrt.f64 (.f64 b (sqrt.f64 -1))))
(.f64 (pow.f64 (.f64 -1 a) 1/6) (pow.f64 (.f64 (sqrt.f64 -1) (.f64 1 b)) 1/3))
(.f64 (pow.f64 (neg.f64 a) 1/6) (cbrt.f64 (.f64 b (sqrt.f64 -1))))

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 a (sqrt.f64 b)) a)
	0.2b	(*.f64 a (sqrt.f64 b))
✓	4.6b	(.f64 (.f64 (*.f64 a (sqrt.f64 b)) a) (sqrt.f64 b))
✓	4.8b	(.f64 (.f64 (.f64 (.f64 a (sqrt.f64 b)) a) (sqrt.f64 b)) b)

Compiler

Compiled 48 to 8 computations (83.3% saved)

series7.0ms (0.2%)

Counts

3 → 60

Calls

18 calls:

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

rewrite48.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

732×	`pow1_binary64`
673×	`add-log-exp_binary64`
673×	`log1p-expm1-u_binary64`
673×	`expm1-log1p-u_binary64`
655×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	40
1	162	26
2	1961	26

Stop Event

1×	node limit

Counts

3 → 39

Calls

Call 1

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

Outputs

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

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

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

simplify79.0ms (2%)

Algorithm

1×	egg-herbie

Rules

737×	`unswap-sqr_binary64`
708×	`fma-def_binary64`
500×	`unsub-neg_binary64`
430×	`distribute-rgt-neg-in_binary64`
366×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	516
1	43	516
2	142	516
3	573	516
4	1405	516
5	3788	516
6	5912	516
7	7384	516
8	7768	516

Stop Event

1×	node limit

Counts

99 → 47

Calls

Call 1

Inputs
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) b)))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) b)))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) b)))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) b)))
(*.f64 (pow.f64 a 2) (sqrt.f64 b))
(*.f64 (pow.f64 a 2) (sqrt.f64 b))
(*.f64 (pow.f64 a 2) (sqrt.f64 b))
(*.f64 (pow.f64 a 2) (sqrt.f64 b))
(*.f64 (pow.f64 a 2) (sqrt.f64 b))
(*.f64 (pow.f64 a 2) (sqrt.f64 b))
(*.f64 (pow.f64 a 2) (sqrt.f64 b))
(*.f64 (pow.f64 a 2) (sqrt.f64 b))
(*.f64 (pow.f64 a 2) (sqrt.f64 b))
(*.f64 (pow.f64 a 2) (sqrt.f64 b))
(*.f64 (pow.f64 a 2) (sqrt.f64 b))
(*.f64 (pow.f64 a 2) (sqrt.f64 b))

Outputs
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) (pow.f64 b 2))))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 b (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 b b)))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) b)))
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) b)))
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) b)))
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) b)))
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) (sqrt.f64 b))
(.f64 (.f64 a a) (sqrt.f64 b))
(.f64 a (.f64 a (sqrt.f64 b)))
(*.f64 (pow.f64 a 2) (sqrt.f64 b))
(.f64 (.f64 a a) (sqrt.f64 b))
(.f64 a (.f64 a (sqrt.f64 b)))
(*.f64 (pow.f64 a 2) (sqrt.f64 b))
(.f64 (.f64 a a) (sqrt.f64 b))
(.f64 a (.f64 a (sqrt.f64 b)))
(*.f64 (pow.f64 a 2) (sqrt.f64 b))
(.f64 (.f64 a a) (sqrt.f64 b))
(.f64 a (.f64 a (sqrt.f64 b)))
(*.f64 (pow.f64 a 2) (sqrt.f64 b))
(.f64 (.f64 a a) (sqrt.f64 b))
(.f64 a (.f64 a (sqrt.f64 b)))
(*.f64 (pow.f64 a 2) (sqrt.f64 b))
(.f64 (.f64 a a) (sqrt.f64 b))
(.f64 a (.f64 a (sqrt.f64 b)))
(*.f64 (pow.f64 a 2) (sqrt.f64 b))
(.f64 (.f64 a a) (sqrt.f64 b))
(.f64 a (.f64 a (sqrt.f64 b)))
(*.f64 (pow.f64 a 2) (sqrt.f64 b))
(.f64 (.f64 a a) (sqrt.f64 b))
(.f64 a (.f64 a (sqrt.f64 b)))
(*.f64 (pow.f64 a 2) (sqrt.f64 b))
(.f64 (.f64 a a) (sqrt.f64 b))
(.f64 a (.f64 a (sqrt.f64 b)))
(*.f64 (pow.f64 a 2) (sqrt.f64 b))
(.f64 (.f64 a a) (sqrt.f64 b))
(.f64 a (.f64 a (sqrt.f64 b)))
(*.f64 (pow.f64 a 2) (sqrt.f64 b))
(.f64 (.f64 a a) (sqrt.f64 b))
(.f64 a (.f64 a (sqrt.f64 b)))
(*.f64 (pow.f64 a 2) (sqrt.f64 b))
(.f64 (.f64 a a) (sqrt.f64 b))
(.f64 a (.f64 a (sqrt.f64 b)))

localize18.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (cbrt.f64 a) (.f64 a b))
✓	0.5b	(pow.f64 (cbrt.f64 a) 2)
✓	0.7b	(cbrt.f64 a)
✓	5.5b	(.f64 (.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) (.f64 a b))) b)

Compiler

Compiled 58 to 20 computations (65.5% saved)

series12.0ms (0.3%)

Counts

4 → 36

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	b	@	0	(.f64 (cbrt.f64 a) (.f64 a b))
2.0ms	a	@	0	(.f64 (cbrt.f64 a) (.f64 a b))
1.0ms	a	@	-inf	(.f64 (.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) (.f64 a b))) b)
1.0ms	a	@	-inf	(.f64 (cbrt.f64 a) (.f64 a b))
1.0ms	b	@	-inf	(.f64 (cbrt.f64 a) (.f64 a b))

rewrite56.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

885×	`pow1_binary64`
818×	`add-log-exp_binary64`
818×	`log1p-expm1-u_binary64`
818×	`expm1-log1p-u_binary64`
798×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	206	25
2	2455	25

Stop Event

1×	node limit

Counts

4 → 62

Calls

Call 1

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

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

simplify145.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

2160×	`unswap-sqr_binary64`
1150×	`sqr-pow_binary64`
470×	`pow-sqr_binary64`
429×	`cube-prod_binary64`
406×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	348
1	34	348
2	72	348
3	197	348
4	813	348
5	1645	348
6	1751	348
7	1898	348
8	2086	348
9	2303	348
10	2582	348
11	2923	348
12	3323	348
13	3823	348
14	4422	348
15	4771	348
16	4983	348
17	5153	348
18	5267	348
19	5339	348
20	5866	348

Stop Event

1×	node limit

Counts

98 → 66

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 a (.f64 b (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 a (.f64 b (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 a (.f64 b (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 a (.f64 b (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 a (.f64 b (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 a (.f64 b (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 a (.f64 b (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 a (.f64 b (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 a (.f64 b (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 a (.f64 b (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 a (.f64 b (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 a (.f64 b (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 a (.f64 b (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 a (.f64 b (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 a (.f64 b (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 a (.f64 b (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 a (.f64 b (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 a (.f64 b (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 a (.f64 b (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 a (.f64 b (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 a (.f64 b (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 a (.f64 b (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 a (.f64 b (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 a (.f64 b (*.f64 a b)))
(.f64 (pow.f64 (.f64 1 (pow.f64 a 4)) 1/3) b)
(*.f64 b (cbrt.f64 (pow.f64 a 4)))
(.f64 (pow.f64 (.f64 1 (pow.f64 a 4)) 1/3) b)
(*.f64 b (cbrt.f64 (pow.f64 a 4)))
(.f64 (pow.f64 (.f64 1 (pow.f64 a 4)) 1/3) b)
(*.f64 b (cbrt.f64 (pow.f64 a 4)))
(.f64 (pow.f64 (.f64 1 (pow.f64 a 4)) 1/3) b)
(*.f64 b (cbrt.f64 (pow.f64 a 4)))
(.f64 (pow.f64 (.f64 1 (pow.f64 a 4)) 1/3) b)
(*.f64 b (cbrt.f64 (pow.f64 a 4)))
(.f64 (pow.f64 (.f64 1 (pow.f64 a 4)) 1/3) b)
(*.f64 b (cbrt.f64 (pow.f64 a 4)))
(.f64 (pow.f64 (.f64 1 (pow.f64 a 4)) 1/3) b)
(*.f64 b (cbrt.f64 (pow.f64 a 4)))
(.f64 (pow.f64 (.f64 1 (pow.f64 a 4)) 1/3) b)
(*.f64 b (cbrt.f64 (pow.f64 a 4)))
(.f64 (pow.f64 (.f64 1 (pow.f64 a 4)) 1/3) b)
(*.f64 b (cbrt.f64 (pow.f64 a 4)))
(.f64 (pow.f64 (.f64 1 (pow.f64 a 4)) 1/3) b)
(*.f64 b (cbrt.f64 (pow.f64 a 4)))
(.f64 (pow.f64 (.f64 1 (pow.f64 a 4)) 1/3) b)
(*.f64 b (cbrt.f64 (pow.f64 a 4)))
(.f64 (pow.f64 (.f64 1 (pow.f64 a 4)) 1/3) b)
(*.f64 b (cbrt.f64 (pow.f64 a 4)))

eval65.0ms (1.7%)

Compiler: Compiled 4092 to 1620 computations (60.4% saved)

prune36.0ms (0.9%)

Pruning

13 alts after pruning (0 fresh and 13 done)

	Pruned	Kept	Total
New	239	0	239
Fresh	0	0	0
Picked	0	1	1
Done	0	12	12
Total	239	13	252

Error

0.0b

Counts

252 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.3b	(neg.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 6)))
✓	6.4b	(neg.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) (.f64 a b))) b))
✓	51.4b	(neg.f64 (.f64 a (.f64 (.f64 (.f64 b (sqrt.f64 a)) (cbrt.f64 (.f64 a (.f64 b b)))) (cbrt.f64 (*.f64 b (sqrt.f64 a))))))
✓	48.4b	(neg.f64 (.f64 a (pow.f64 (.f64 b (sqrt.f64 a)) 2)))
✓	16.3b	(neg.f64 (.f64 a (.f64 a (*.f64 b b))))
✓	17.8b	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
✓	1.3b	(neg.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3))
✓	23.0b	(neg.f64 (.f64 (.f64 (.f64 (.f64 a (sqrt.f64 b)) a) (sqrt.f64 b)) b))
✓	5.5b	(neg.f64 (.f64 (.f64 (*.f64 a b) b) a))
✓	0.4b	(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
✓	6.4b	(neg.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 a (*.f64 a b))) 3) b))
✓	18.4b	(neg.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 2) b))
✓	5.8b	(neg.f64 (.f64 (.f64 a (*.f64 a b)) b))

Compiler

Compiled 157 to 100 computations (36.3% saved)

regimes44.0ms (1.1%)

Counts

16 → 1

Calls

Call 1

Inputs
(neg.f64 (.f64 (.f64 (*.f64 a b) b) a))
(neg.f64 (.f64 a (.f64 a (*.f64 b b))))
(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
(neg.f64 (.f64 (.f64 a (*.f64 a b)) b))
(.f64 (.f64 a a) (*.f64 b (neg.f64 b)))
(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 6)))
(neg.f64 (.f64 a (pow.f64 (.f64 b (sqrt.f64 a)) 2)))
(neg.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 2) b))
(neg.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 a (*.f64 a b))) 3) b))
(neg.f64 (.f64 (.f64 (.f64 (.f64 a (sqrt.f64 b)) a) (sqrt.f64 b)) b))
(neg.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3))
(neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3)))
(neg.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 2)) 3))
(neg.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) (.f64 a b))) b))
(neg.f64 (.f64 a (.f64 (.f64 (.f64 b (sqrt.f64 a)) (cbrt.f64 (.f64 a (.f64 b b)))) (cbrt.f64 (*.f64 b (sqrt.f64 a))))))

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

Calls

6 calls:

10.0ms	b
8.0ms	a
6.0ms	(*.f64 a a)
5.0ms	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
5.0ms	(*.f64 a a)

Results

Error	Segments	Branch
0.4b	1	`a`
0.4b	1	`b`
0.4b	1	`(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))`
0.4b	1	`(.f64 (.f64 (*.f64 a a) b) b)`
0.4b	1	`(*.f64 a a)`
0.4b	1	`(*.f64 a a)`

Compiler

Compiled 194 to 99 computations (49% saved)

regimes7.0ms (0.2%)

Accuracy

Total -10.9b remaining (-197.2%)

Threshold costs -10.9b (-197.2%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	b
3.0ms	a

Results

Error	Segments	Branch
5.5b	1	`a`
5.5b	1	`b`

Compiler

Compiled 24 to 14 computations (41.7% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
7×	`distribute-lft-neg-in_binary64`
7×	`distribute-rgt-neg-in_binary64`
6×	`+-commutative_binary64`
6×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	25	24
2	47	24
3	57	24
4	62	24
5	63	24

Stop Event

1×

saturated

Calls

Call 1

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

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

end21.0ms (0.5%)

Stop Event

1×

done

Remove

(sort a b)

Compiler

Compiled 58 to 32 computations (44.8% saved)

Details

analyze52.0ms (1.3%)

sample724.0ms (18.5%)

preprocess22.0ms (0.6%)

simplify11.0ms (0.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.2%)

series8.0ms (0.2%)

rewrite42.0ms (1.1%)

simplify108.0ms (2.8%)

localize7.0ms (0.2%)

series2.0ms (0.1%)

rewrite37.0ms (1%)

simplify74.0ms (1.9%)

eval8.0ms (0.2%)

prune11.0ms (0.3%)

localize7.0ms (0.2%)

series2.0ms (0%)

rewrite33.0ms (0.8%)

simplify157.0ms (4%)

localize8.0ms (0.2%)

series5.0ms (0.1%)

rewrite39.0ms (1%)

simplify104.0ms (2.7%)

localize7.0ms (0.2%)

series3.0ms (0.1%)

rewrite40.0ms (1%)

simplify103.0ms (2.6%)

localize12.0ms (0.3%)

series15.0ms (0.4%)

rewrite49.0ms (1.2%)

simplify72.0ms (1.8%)

localize15.0ms (0.4%)

series9.0ms (0.2%)

rewrite49.0ms (1.2%)

simplify177.0ms (4.5%)

eval37.0ms (0.9%)

prune30.0ms (0.8%)

localize13.0ms (0.3%)

series19.0ms (0.5%)

rewrite53.0ms (1.3%)

simplify8.0ms (0.2%)

localize9.0ms (0.2%)

series3.0ms (0.1%)

rewrite42.0ms (1.1%)

simplify105.0ms (2.7%)

localize11.0ms (0.3%)

series9.0ms (0.2%)

rewrite42.0ms (1.1%)

simplify167.0ms (4.3%)

localize11.0ms (0.3%)

series11.0ms (0.3%)

rewrite45.0ms (1.1%)

simplify78.0ms (2%)

localize15.0ms (0.4%)

series15.0ms (0.4%)

rewrite92.0ms (2.3%)

simplify181.0ms (4.6%)

eval94.0ms (2.4%)

prune44.0ms (1.1%)

localize20.0ms (0.5%)

series57.0ms (1.5%)

rewrite58.0ms (1.5%)

simplify79.0ms (2%)

localize12.0ms (0.3%)

series7.0ms (0.2%)

rewrite48.0ms (1.2%)

simplify79.0ms (2%)

localize18.0ms (0.5%)

series12.0ms (0.3%)

rewrite56.0ms (1.4%)

simplify145.0ms (3.7%)

eval65.0ms (1.7%)

prune36.0ms (0.9%)

regimes44.0ms (1.1%)

regimes7.0ms (0.2%)

simplify2.0ms (0.1%)

end21.0ms (0.5%)

Profiling