Details

analyze56.0ms (1.1%)

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)

sample765.0ms (15.5%)

Results

725.0ms	8256×	body	256	valid
28.0ms	287×	body	256	invalid

preprocess26.0ms (0.5%)

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	212	24
5	306	24
6	351	24
7	410	24
8	665	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 a (neg.f64 (*.f64 b b))))
(.f64 a (.f64 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 a (neg.f64 (*.f64 b b))))
(.f64 a (.f64 a (*.f64 b (neg.f64 b))))

Symmetry

(sort a b)

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify14.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

284×	`fma-def_binary64`
30×	`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	125	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))
(.f64 (.f64 a a) (neg.f64 (*.f64 b b)))
(.f64 a (.f64 (*.f64 a (neg.f64 b)) b))
(.f64 a (.f64 (*.f64 b b) (neg.f64 a)))

eval1.0ms (0%)

Compiler: Compiled 18 to 10 computations (44.4% 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

10.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.5b	(.f64 a (.f64 (*.f64 b b) (neg.f64 a)))
▶	16.3b	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))

Compiler

Compiled 20 to 12 computations (40% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	5.0b	(.f64 (.f64 (*.f64 a a) b) b)
✓	10.6b	(.f64 (.f64 a a) b)

Compiler

Compiled 27 to 6 computations (77.8% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	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)

rewrite46.0ms (0.9%)

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	1489	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)))))))

simplify158.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

2164×	`associate-l_binary64`
1808×	`associate-r_binary64`
757×	`sqr-pow_binary64`
304×	`unswap-sqr_binary64`
256×	`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	1060	408
6	1126	408
7	1226	408
8	1346	408
9	1468	408
10	1615	408
11	1779	408
12	1968	408
13	2183	408
14	2413	408
15	2657	408
16	2922	408
17	3201	408
18	3501	408
19	3815	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)))

localize16.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	5.4b	(.f64 a (.f64 (*.f64 b b) (neg.f64 a)))
✓	9.5b	(.f64 (.f64 b b) (neg.f64 a))

Compiler

Compiled 23 to 6 computations (73.9% saved)

series12.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	b	@	inf	(.f64 (.f64 b b) (neg.f64 a))
2.0ms	b	@	-inf	(.f64 (.f64 b b) (neg.f64 a))
1.0ms	b	@	0	(.f64 (.f64 b b) (neg.f64 a))
1.0ms	a	@	0	(.f64 (.f64 b b) (neg.f64 a))
1.0ms	a	@	inf	(.f64 (.f64 b b) (neg.f64 a))

rewrite77.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

586×	`pow1_binary64`
540×	`add-log-exp_binary64`
539×	`log1p-expm1-u_binary64`
539×	`expm1-log1p-u_binary64`
526×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	147	14
2	1961	14

Stop Event

1×	node limit

Counts

2 → 25

Calls

Call 1

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

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

Outputs

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

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

simplify162.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

705×	`fma-def_binary64`
618×	`distribute-rgt-neg-in_binary64`
615×	`distribute-lft-neg-in_binary64`
483×	`fma-neg_binary64`
409×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	504
1	29	504
2	76	504
3	244	504
4	1136	504
5	2375	504
6	3556	504
7	4809	504
8	5727	504
9	6548	504
10	7326	504
11	7997	504

Stop Event

1×	node limit

Counts

73 → 29

Calls

Call 1

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

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

eval10.0ms (0.2%)

Compiler: Compiled 487 to 260 computations (46.6% saved)

prune14.0ms (0.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	49	6	55
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	49	8	57

Error

0.0b

Counts

57 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	15.5b	(.f64 a (.f64 (*.f64 b b) (neg.f64 a)))
▶	5.3b	(neg.f64 (.f64 (.f64 a (*.f64 a b)) b))
✓	16.3b	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
▶	0.3b	(neg.f64 (pow.f64 (*.f64 b a) 2))
▶	25.0b	(neg.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (*.f64 a a) b) 3)) b))
▶	20.1b	(neg.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 2) b))
	16.6b	(neg.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (*.f64 a a) b)) 3) b))
▶	5.7b	(.f64 a (.f64 b (*.f64 b (neg.f64 a))))

Compiler

Compiled 150 to 100 computations (33.3% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (*.f64 b a) 2)

Compiler

Compiled 19 to 9 computations (52.6% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite42.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

512×	`pow1_binary64`
489×	`add-sqr-sqrt_binary64`
471×	`add-log-exp_binary64`
471×	`log1p-expm1-u_binary64`
471×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1380	7

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify175.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

995×	`sqr-pow_binary64`
753×	`associate-l_binary64`
580×	`cube-prod_binary64`
576×	`fabs-mul_binary64`
528×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	240
1	16	240
2	37	240
3	105	240
4	446	240
5	2486	240
6	2578	240
7	2790	240
8	2988	240
9	3230	240
10	3545	240
11	4237	240
12	4731	240
13	5387	240
14	6131	240
15	6690	240
16	7034	240
17	7362	240
18	7466	240
19	7498	240

Stop Event

1×	node limit

Counts

46 → 24

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

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 a (.f64 a b))
✓	5.0b	(.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	b	@	-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)

rewrite45.0ms (0.9%)

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	1523	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))))))))

simplify125.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

2142×	`associate-l_binary64`
1789×	`associate-r_binary64`
757×	`sqr-pow_binary64`
304×	`unswap-sqr_binary64`
256×	`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	488	408
5	1071	408
6	1137	408
7	1237	408
8	1357	408
9	1479	408
10	1626	408
11	1790	408
12	1979	408
13	2192	408
14	2422	408
15	2666	408
16	2931	408
17	3210	408
18	3510	408
19	3824	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 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 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))

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 b (.f64 b (neg.f64 a)))
✓	5.4b	(.f64 a (.f64 b (*.f64 b (neg.f64 a))))

Compiler

Compiled 24 to 6 computations (75% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite46.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

583×	`pow1_binary64`
536×	`add-log-exp_binary64`
535×	`log1p-expm1-u_binary64`
535×	`expm1-log1p-u_binary64`
525×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	146	14
2	1964	14

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

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

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 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)))))))

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

simplify116.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

705×	`fma-def_binary64`
618×	`distribute-rgt-neg-in_binary64`
616×	`distribute-lft-neg-in_binary64`
483×	`fma-neg_binary64`
410×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	504
1	29	504
2	76	504
3	245	504
4	1125	504
5	2376	504
6	3557	504
7	4810	504
8	5728	504
9	6551	504
10	7329	504

Stop Event

1×	node limit

Counts

72 → 28

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

localize12.0ms (0.2%)

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)
✓	4.0b	(.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 2) b)

Compiler

Compiled 34 to 14 computations (58.8% saved)

series16.0ms (0.3%)

Counts

3 → 36

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	b	@	0	(pow.f64 (*.f64 a (sqrt.f64 b)) 2)
2.0ms	a	@	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)

rewrite52.0ms (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	1856	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 (*.f64 a a) b)))) (#(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 (*.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 (pow.f64 (exp.f64 (*.f64 a a)) b))))) (#(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))))))))

simplify100.0ms (2%)

Algorithm

1×	egg-herbie

Rules

616×	`fma-neg_binary64`
559×	`unswap-sqr_binary64`
376×	`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	1147	324
5	3011	324
6	4930	324
7	6137	324
8	7072	324
9	7602	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 b (.f64 a (*.f64 a 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 b (.f64 a (*.f64 a 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 b (.f64 a (*.f64 a 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 b (.f64 a (*.f64 a 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 b (.f64 a (*.f64 a 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 b (.f64 a (*.f64 a 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 b (.f64 a (*.f64 a 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 b (.f64 a (*.f64 a 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 b (.f64 a (*.f64 a 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 b (.f64 a (*.f64 a 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 b (.f64 a (*.f64 a 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 b (.f64 a (*.f64 a 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 b (.f64 a (*.f64 a 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 b (.f64 a (*.f64 a 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 b (.f64 a (*.f64 a 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 b (.f64 a (*.f64 a 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 b (.f64 a (*.f64 a 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 b (.f64 a (*.f64 a 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 b (.f64 a (*.f64 a 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 b (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 a (.f64 b (*.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 b (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 a (.f64 b (*.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 b (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 a (.f64 b (*.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 b (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 a (.f64 b (*.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 b (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 a (.f64 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))

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (.f64 (.f64 a a) b) 3)
✓	5.0b	(.f64 (cbrt.f64 (pow.f64 (.f64 (*.f64 a a) b) 3)) b)
	10.6b	(.f64 (.f64 a a) b)
✓	24.0b	(cbrt.f64 (pow.f64 (.f64 (.f64 a a) b) 3))

Compiler

Compiled 49 to 19 computations (61.2% saved)

series9.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

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

rewrite59.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

728×	`pow1_binary64`
680×	`add-log-exp_binary64`
680×	`log1p-expm1-u_binary64`
680×	`expm1-log1p-u_binary64`
659×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	191	24
2	2048	24

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

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

Outputs

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

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

simplify120.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

764×	`fma-def_binary64`
616×	`unswap-sqr_binary64`
369×	`distribute-rgt-neg-in_binary64`
367×	`distribute-lft-neg-in_binary64`
364×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	704
1	56	704
2	175	704
3	657	704
4	1241	704
5	2634	704
6	3368	704
7	4392	704
8	5713	704
9	6679	704

Stop Event

1×	node limit

Counts

144 → 79

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 -1 (.f64 (pow.f64 a 2) (*.f64 (cbrt.f64 -1) b)))
(.f64 -1 (.f64 (pow.f64 a 2) (*.f64 (cbrt.f64 -1) b)))
(.f64 -1 (.f64 (pow.f64 a 2) (*.f64 (cbrt.f64 -1) b)))
(.f64 -1 (.f64 (pow.f64 a 2) (*.f64 (cbrt.f64 -1) 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 -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 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))

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 -1 (.f64 (pow.f64 a 2) (*.f64 (cbrt.f64 -1) b)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b (cbrt.f64 -1))))
(.f64 (.f64 b (cbrt.f64 -1)) (neg.f64 (*.f64 a a)))
(.f64 a (.f64 a (*.f64 b (neg.f64 (cbrt.f64 -1)))))
(.f64 a (.f64 a (*.f64 (cbrt.f64 -1) (neg.f64 b))))
(.f64 -1 (.f64 (pow.f64 a 2) (*.f64 (cbrt.f64 -1) b)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b (cbrt.f64 -1))))
(.f64 (.f64 b (cbrt.f64 -1)) (neg.f64 (*.f64 a a)))
(.f64 a (.f64 a (*.f64 b (neg.f64 (cbrt.f64 -1)))))
(.f64 a (.f64 a (*.f64 (cbrt.f64 -1) (neg.f64 b))))
(.f64 -1 (.f64 (pow.f64 a 2) (*.f64 (cbrt.f64 -1) b)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b (cbrt.f64 -1))))
(.f64 (.f64 b (cbrt.f64 -1)) (neg.f64 (*.f64 a a)))
(.f64 a (.f64 a (*.f64 b (neg.f64 (cbrt.f64 -1)))))
(.f64 a (.f64 a (*.f64 (cbrt.f64 -1) (neg.f64 b))))
(.f64 -1 (.f64 (pow.f64 a 2) (*.f64 (cbrt.f64 -1) b)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b (cbrt.f64 -1))))
(.f64 (.f64 b (cbrt.f64 -1)) (neg.f64 (*.f64 a a)))
(.f64 a (.f64 a (*.f64 b (neg.f64 (cbrt.f64 -1)))))
(.f64 a (.f64 a (*.f64 (cbrt.f64 -1) (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 (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 -1 (.f64 (pow.f64 a 2) (*.f64 (cbrt.f64 -1) (pow.f64 b 2))))
(neg.f64 (.f64 (.f64 a a) (.f64 (cbrt.f64 -1) (.f64 b b))))
(.f64 (.f64 (neg.f64 (.f64 a a)) (.f64 b b)) (cbrt.f64 -1))
(.f64 (.f64 a a) (.f64 b (.f64 b (neg.f64 (cbrt.f64 -1)))))
(.f64 (cbrt.f64 -1) (.f64 b (.f64 b (.f64 a (neg.f64 a)))))
(.f64 (.f64 a a) (.f64 b (.f64 (cbrt.f64 -1) (neg.f64 b))))
(.f64 -1 (.f64 (pow.f64 a 2) (*.f64 (cbrt.f64 -1) (pow.f64 b 2))))
(neg.f64 (.f64 (.f64 a a) (.f64 (cbrt.f64 -1) (.f64 b b))))
(.f64 (.f64 (neg.f64 (.f64 a a)) (.f64 b b)) (cbrt.f64 -1))
(.f64 (.f64 a a) (.f64 b (.f64 b (neg.f64 (cbrt.f64 -1)))))
(.f64 (cbrt.f64 -1) (.f64 b (.f64 b (.f64 a (neg.f64 a)))))
(.f64 (.f64 a a) (.f64 b (.f64 (cbrt.f64 -1) (neg.f64 b))))
(.f64 -1 (.f64 (pow.f64 a 2) (*.f64 (cbrt.f64 -1) (pow.f64 b 2))))
(neg.f64 (.f64 (.f64 a a) (.f64 (cbrt.f64 -1) (.f64 b b))))
(.f64 (.f64 (neg.f64 (.f64 a a)) (.f64 b b)) (cbrt.f64 -1))
(.f64 (.f64 a a) (.f64 b (.f64 b (neg.f64 (cbrt.f64 -1)))))
(.f64 (cbrt.f64 -1) (.f64 b (.f64 b (.f64 a (neg.f64 a)))))
(.f64 (.f64 a a) (.f64 b (.f64 (cbrt.f64 -1) (neg.f64 b))))
(.f64 -1 (.f64 (pow.f64 a 2) (*.f64 (cbrt.f64 -1) (pow.f64 b 2))))
(neg.f64 (.f64 (.f64 a a) (.f64 (cbrt.f64 -1) (.f64 b b))))
(.f64 (.f64 (neg.f64 (.f64 a a)) (.f64 b b)) (cbrt.f64 -1))
(.f64 (.f64 a a) (.f64 b (.f64 b (neg.f64 (cbrt.f64 -1)))))
(.f64 (cbrt.f64 -1) (.f64 b (.f64 b (.f64 a (neg.f64 a)))))
(.f64 (.f64 a a) (.f64 b (.f64 (cbrt.f64 -1) (neg.f64 b))))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))

eval47.0ms (1%)

Compiler: Compiled 2567 to 1234 computations (51.9% saved)

prune39.0ms (0.8%)

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	219	6	225
Fresh	0	1	1
Picked	0	1	1
Done	1	5	6
Total	220	13	233

Error

0.0b

Counts

233 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	0.8b	(neg.f64 (.f64 (.f64 (.f64 b a) (pow.f64 (cbrt.f64 (.f64 b a)) 2)) (cbrt.f64 (*.f64 b a))))
✓	25.0b	(neg.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (*.f64 a a) b) 3)) b))
▶	29.0b	(neg.f64 (.f64 (.f64 (.f64 b a) (sqrt.f64 (.f64 b a))) (sqrt.f64 (*.f64 b a))))
✓	20.1b	(neg.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 2) b))
✓	15.5b	(.f64 a (.f64 (*.f64 b b) (neg.f64 a)))
✓	5.3b	(neg.f64 (.f64 (.f64 a (*.f64 a b)) b))
▶	16.6b	(neg.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (*.f64 a a) b)) 3) b))
	0.8b	(neg.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 b a)) 2) (.f64 (cbrt.f64 (.f64 b a)) (*.f64 b a))))
▶	16.2b	(neg.f64 (pow.f64 (.f64 (sqrt.f64 b) (.f64 a (sqrt.f64 b))) 2))
▶	5.8b	(neg.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) (.f64 a b))) b))
✓	16.3b	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
▶	0.3b	(neg.f64 (.f64 (.f64 b a) (*.f64 b a)))
✓	5.7b	(.f64 a (.f64 b (*.f64 b (neg.f64 a))))

Compiler

Compiled 270 to 155 computations (42.6% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 5 computations (77.3% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite41.0ms (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	1275	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify168.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

995×	`sqr-pow_binary64`
753×	`associate-l_binary64`
580×	`cube-prod_binary64`
576×	`fabs-mul_binary64`
528×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	240
1	16	240
2	37	240
3	105	240
4	446	240
5	2486	240
6	2578	240
7	2790	240
8	2988	240
9	3230	240
10	3545	240
11	4237	240
12	4731	240
13	5387	240
14	6131	240
15	6690	240
16	7034	240
17	7362	240
18	7466	240
19	7498	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 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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b b)))

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (cbrt.f64 (.f64 (.f64 a a) b)) 3)
✓	5.0b	(.f64 (pow.f64 (cbrt.f64 (.f64 (*.f64 a a) b)) 3) b)
	10.6b	(.f64 (.f64 a a) b)
✓	23.5b	(cbrt.f64 (.f64 (.f64 a a) b))

Compiler

Compiled 48 to 15 computations (68.8% saved)

series17.0ms (0.3%)

Counts

3 → 24

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	b	@	-inf	(.f64 (pow.f64 (cbrt.f64 (.f64 (*.f64 a a) b)) 3) b)
2.0ms	a	@	0	(pow.f64 (cbrt.f64 (.f64 (.f64 a a) b)) 3)
1.0ms	b	@	-inf	(pow.f64 (cbrt.f64 (.f64 (.f64 a a) b)) 3)
1.0ms	b	@	inf	(pow.f64 (cbrt.f64 (.f64 (.f64 a a) b)) 3)
1.0ms	a	@	inf	(cbrt.f64 (.f64 (.f64 a a) b))

rewrite58.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

721×	`pow1_binary64`
673×	`add-log-exp_binary64`
673×	`log1p-expm1-u_binary64`
673×	`expm1-log1p-u_binary64`
654×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	189	23
2	1985	23

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

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

Outputs

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

simplify172.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

995×	`sqr-pow_binary64`
753×	`associate-l_binary64`
580×	`cube-prod_binary64`
576×	`fabs-mul_binary64`
528×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	240
1	16	240
2	37	240
3	105	240
4	446	240
5	2486	240
6	2578	240
7	2790	240
8	2988	240
9	3230	240
10	3545	240
11	4237	240
12	4731	240
13	5387	240
14	6131	240
15	6690	240
16	7034	240
17	7362	240
18	7466	240
19	7498	240

Stop Event

1×	node limit

Counts

95 → 73

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

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 (.f64 b a) (sqrt.f64 (.f64 b a))) (sqrt.f64 (*.f64 b a)))
✓	0.1b	(.f64 (.f64 b a) (sqrt.f64 (*.f64 b a)))
✓	9.7b	(sqrt.f64 (*.f64 b a))

Compiler

Compiled 46 to 7 computations (84.8% saved)

series12.0ms (0.2%)

Counts

3 → 24

Calls

18 calls:

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

rewrite53.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

598×	`pow1_binary64`
551×	`add-log-exp_binary64`
551×	`log1p-expm1-u_binary64`
551×	`expm1-log1p-u_binary64`
536×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	28
1	142	20
2	1618	20

Stop Event

1×	node limit

Counts

3 → 46

Calls

Call 1

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

Outputs

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

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

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

simplify88.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

604×	`fma-neg_binary64`
547×	`unswap-sqr_binary64`
368×	`distribute-rgt-neg-in_binary64`
354×	`cancel-sign-sub-inv_binary64`
354×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	240
1	31	240
2	100	240
3	449	240
4	1140	240
5	2967	240
6	4869	240
7	6060	240
8	6980	240
9	7505	240

Stop Event

1×

unsound

Counts

70 → 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 -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 -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))))

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

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 37 to 11 computations (70.3% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite53.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

685×	`pow1_binary64`
631×	`add-log-exp_binary64`
631×	`log1p-expm1-u_binary64`
631×	`expm1-log1p-u_binary64`
613×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	166	11
2	1861	11

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

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

Outputs

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

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

simplify71.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

877×	`fma-neg_binary64`
655×	`unswap-sqr_binary64`
545×	`associate-l_binary64`
345×	`neg-sub0_binary64`
332×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	336
1	41	336
2	127	336
3	373	336
4	1741	336
5	4877	336
6	6580	336

Stop Event

1×	node limit

Counts

85 → 42

Calls

Call 1

Inputs
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a b)))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a b)))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a b)))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a b)))
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a 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 (sqrt.f64 -1) 4) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 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 b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a b)))
(*.f64 a b)
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a b)))
(*.f64 a b)
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a b)))
(*.f64 a b)
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 a b)))
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.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 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 (.f64 a b) (*.f64 a 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 (.f64 a b) (*.f64 a 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 (.f64 a b) (*.f64 a 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 (.f64 a b) (*.f64 a 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 (.f64 a b) (*.f64 a 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 (.f64 a b) (*.f64 a 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 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 b (*.f64 a b)))
(.f64 (pow.f64 (sqrt.f64 -1) 4) (.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 a (.f64 b (*.f64 a b)))
(.f64 (pow.f64 (sqrt.f64 -1) 4) (.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 a (.f64 b (*.f64 a b)))
(.f64 (pow.f64 (sqrt.f64 -1) 4) (.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 a (.f64 b (*.f64 a b)))
(.f64 (pow.f64 (sqrt.f64 -1) 4) (.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 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 (.f64 a b) (*.f64 a 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 (.f64 a b) (*.f64 a 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 (.f64 a b) (*.f64 a 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 (.f64 a b) (*.f64 a 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 (.f64 a b) (*.f64 a 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 (.f64 a b) (*.f64 a 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 (.f64 a b) (*.f64 a 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 (.f64 a b) (*.f64 a 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 (.f64 a b) (*.f64 a 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 (.f64 a b) (*.f64 a 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 (.f64 a b) (*.f64 a 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 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 b (*.f64 a b)))

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (cbrt.f64 a) (.f64 a b))
✓	0.5b	(pow.f64 (cbrt.f64 a) 2)
✓	0.6b	(cbrt.f64 a)
✓	5.0b	(.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	@	-inf	(.f64 (.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) (.f64 a b))) b)
1.0ms	a	@	-inf	(pow.f64 (cbrt.f64 a) 2)
1.0ms	a	@	-inf	(.f64 (cbrt.f64 a) (.f64 a b))
1.0ms	b	@	inf	(.f64 (cbrt.f64 a) (.f64 a b))

rewrite63.0ms (1.3%)

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)))))))))

simplify172.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

2288×	`unswap-sqr_binary64`
1109×	`sqr-pow_binary64`
446×	`pow-sqr_binary64`
429×	`cube-prod_binary64`
407×	`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	814	348
5	1647	348
6	1753	348
7	1900	348
8	2088	348
9	2305	348
10	2584	348
11	2925	348
12	3325	348
13	3829	348
14	4428	348
15	4779	348
16	4987	348
17	5159	348
18	5273	348
19	5345	348
20	5872	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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.f64 a b) (*.f64 a b))
(.f64 a (.f64 a (*.f64 b 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)))

eval70.0ms (1.4%)

Compiler: Compiled 4342 to 1946 computations (55.2% saved)

prune51.0ms (1%)

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	309	5	314
Fresh	2	0	2
Picked	1	0	1
Done	2	8	10
Total	314	13	327

Error

Counts

327 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	25.0b	(neg.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (*.f64 a a) b) 3)) b))
▶	6.0b	(neg.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 a) (cbrt.f64 (*.f64 a b))) 3) b))
✓	15.5b	(.f64 a (.f64 (*.f64 b b) (neg.f64 a)))
✓	5.3b	(neg.f64 (.f64 (.f64 a (*.f64 a b)) b))
✓	16.3b	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
▶	29.0b	(neg.f64 (.f64 (.f64 (.f64 b a) (pow.f64 (pow.f64 (.f64 b a) 1/4) 2)) (sqrt.f64 (*.f64 b a))))
✓	20.1b	(neg.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 2) b))
✓	16.6b	(neg.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (*.f64 a a) b)) 3) b))
▶	16.0b	(neg.f64 (.f64 (.f64 (.f64 b a) (sqrt.f64 b)) (.f64 (sqrt.f64 b) a)))
▶	16.4b	(neg.f64 (.f64 (.f64 (cbrt.f64 (.f64 a a)) (.f64 (cbrt.f64 a) (*.f64 a b))) b))
✓	0.3b	(neg.f64 (.f64 (.f64 b a) (*.f64 b a)))
▶	28.9b	(neg.f64 (.f64 (pow.f64 (.f64 b a) 3/2) (sqrt.f64 (*.f64 b a))))
✓	5.7b	(.f64 a (.f64 b (*.f64 b (neg.f64 a))))

Compiler

Compiled 239 to 149 computations (37.7% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (.f64 (cbrt.f64 a) (cbrt.f64 (.f64 a b))) 3)
	0.6b	(cbrt.f64 a)
✓	5.0b	(.f64 (pow.f64 (.f64 (cbrt.f64 a) (cbrt.f64 (*.f64 a b))) 3) b)
✓	10.0b	(cbrt.f64 (*.f64 a b))

Compiler

Compiled 53 to 16 computations (69.8% saved)

series11.0ms (0.2%)

Counts

3 → 24

Calls

18 calls:

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

rewrite60.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

860×	`pow1_binary64`
800×	`add-log-exp_binary64`
800×	`log1p-expm1-u_binary64`
800×	`expm1-log1p-u_binary64`
777×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	208	20
2	2384	20

Stop Event

1×	node limit

Counts

3 → 66

Calls

Call 1

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

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

simplify174.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

995×	`sqr-pow_binary64`
753×	`associate-l_binary64`
580×	`cube-prod_binary64`
576×	`fabs-mul_binary64`
528×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	240
1	16	240
2	37	240
3	105	240
4	446	240
5	2486	240
6	2578	240
7	2790	240
8	2988	240
9	3230	240
10	3545	240
11	4237	240
12	4731	240
13	5387	240
14	6131	240
15	6690	240
16	7034	240
17	7362	240
18	7466	240
19	7498	240

Stop Event

1×	node limit

Counts

90 → 68

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

localize16.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (pow.f64 (.f64 b a) 3/2) (sqrt.f64 (*.f64 b a)))
✓	5.5b	(pow.f64 (*.f64 b a) 3/2)
	9.7b	(sqrt.f64 (*.f64 b a))

Compiler

Compiled 38 to 14 computations (63.2% saved)

series118.0ms (2.4%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
33.0ms	b	@	0	(pow.f64 (*.f64 b a) 3/2)
33.0ms	a	@	-inf	(pow.f64 (*.f64 b a) 3/2)
20.0ms	a	@	0	(pow.f64 (*.f64 b a) 3/2)
12.0ms	b	@	-inf	(pow.f64 (*.f64 b a) 3/2)
8.0ms	a	@	inf	(pow.f64 (*.f64 b a) 3/2)

rewrite58.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

705×	`pow1_binary64`
658×	`add-log-exp_binary64`
658×	`log1p-expm1-u_binary64`
658×	`expm1-log1p-u_binary64`
641×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	169	14
2	2027	14

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

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

Outputs

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

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

simplify54.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

510×	`fma-def_binary64`
495×	`associate-l_binary64`
406×	`associate-r_binary64`
255×	`exp-sum_binary64`
244×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	616
1	130	568
2	337	496
3	1011	424
4	3944	424

Stop Event

1×	node limit

Counts

83 → 45

Calls

Call 1

Inputs
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 b) (log.f64 a))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 b) (log.f64 a))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 b) (log.f64 a))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 b) (log.f64 a))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (*.f64 -1 a)))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (*.f64 -1 a)))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (*.f64 -1 a)))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (*.f64 -1 a)))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 b) (log.f64 a))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 b) (log.f64 a))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 b) (log.f64 a))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 b) (log.f64 a))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 a))) (log.f64 (*.f64 -1 b)))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 a))) (log.f64 (*.f64 -1 b)))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 a))) (log.f64 (*.f64 -1 b)))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 a))) (log.f64 (*.f64 -1 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 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.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 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 2) (pow.f64 b 2)))

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

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 42 to 8 computations (81% saved)

series7.0ms (0.1%)

Counts

3 → 48

Calls

18 calls:

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

rewrite58.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

751×	`pow1_binary64`
691×	`add-log-exp_binary64`
691×	`log1p-expm1-u_binary64`
691×	`expm1-log1p-u_binary64`
673×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	164	20
2	2077	20

Stop Event

1×	node limit

Counts

3 → 40

Calls

Call 1

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

Outputs

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

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

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

simplify111.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

677×	`fma-neg_binary64`
579×	`unswap-sqr_binary64`
376×	`neg-sub0_binary64`
369×	`unsub-neg_binary64`
367×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	420
1	46	420
2	122	396
3	501	396
4	1203	396
5	3125	396
6	5157	396
7	6519	396
8	7644	396

Stop Event

1×	node limit

Counts

88 → 46

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

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f64 (cbrt.f64 a) (.f64 a b))
	0.6b	(cbrt.f64 a)
✓	5.0b	(.f64 (.f64 (cbrt.f64 (.f64 a a)) (.f64 (cbrt.f64 a) (*.f64 a b))) b)
✓	27.7b	(cbrt.f64 (*.f64 a a))

Compiler

Compiled 60 to 10 computations (83.3% saved)

series6.0ms (0.1%)

Counts

2 → 24

Calls

9 calls:

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

rewrite56.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

874×	`pow1_binary64`
807×	`add-log-exp_binary64`
807×	`log1p-expm1-u_binary64`
807×	`expm1-log1p-u_binary64`
784×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	200	13
2	2440	13

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

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

Outputs

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

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

simplify77.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1025×	`fma-def_binary64`
884×	`distribute-lft-neg-in_binary64`
874×	`distribute-rgt-neg-in_binary64`
449×	`associate-l_binary64`
415×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	268
1	29	268
2	93	268
3	364	268
4	1718	268
5	3174	268
6	5030	268
7	7472	268

Stop Event

1×	node limit

Counts

59 → 39

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

localize25.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 b a) (pow.f64 (pow.f64 (*.f64 b a) 1/4) 2))
✓	0.2b	(pow.f64 (pow.f64 (*.f64 b a) 1/4) 2)
	9.7b	(sqrt.f64 (*.f64 b a))
✓	9.7b	(pow.f64 (*.f64 b a) 1/4)

Compiler

Compiled 69 to 30 computations (56.5% saved)

series10.0ms (0.2%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(pow.f64 (*.f64 b a) 1/4)
1.0ms	b	@	-inf	(.f64 (.f64 b a) (pow.f64 (pow.f64 (*.f64 b a) 1/4) 2))
1.0ms	a	@	-inf	(pow.f64 (pow.f64 (*.f64 b a) 1/4) 2)
1.0ms	b	@	-inf	(pow.f64 (pow.f64 (*.f64 b a) 1/4) 2)
1.0ms	a	@	-inf	(.f64 (.f64 b a) (pow.f64 (pow.f64 (*.f64 b a) 1/4) 2))

rewrite59.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

769×	`pow1_binary64`
716×	`add-log-exp_binary64`
716×	`log1p-expm1-u_binary64`
716×	`expm1-log1p-u_binary64`
696×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	196	20
2	2217	20

Stop Event

1×	node limit

Counts

3 → 58

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 b a) 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 b a) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 b a) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 b a) 1/4)) (cbrt.f64 (sqrt.f64 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 b a))) (cbrt.f64 (pow.f64 (*.f64 b a) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b 1/4) (pow.f64 a 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a 1/4) (pow.f64 b 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 b a) 1/8) (pow.f64 (*.f64 b a) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 b a))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (*.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/4) (pow.f64 (*.f64 b a) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 b a) 2)) 1/4) (pow.f64 (cbrt.f64 (*.f64 b a)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 b a)) 1/4) (pow.f64 (sqrt.f64 (*.f64 b a)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (sqrt.f64 (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (*.f64 b a) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 b a) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 b a) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 b a) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 b a) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/4 (log.f64 (*.f64 b a))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 b a) 1/4) (pow.f64 (*.f64 b a) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 b) (cbrt.f64 (*.f64 a (sqrt.f64 (*.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 b a))) (cbrt.f64 (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 b a))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 b a) 1/4)) (pow.f64 (*.f64 b a) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 b a)) (cbrt.f64 (sqrt.f64 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b 1/4) (*.f64 (pow.f64 a 1/4) (pow.f64 (*.f64 b a) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 b a) 1/8) (*.f64 (pow.f64 (*.f64 b a) 1/8) (pow.f64 (*.f64 b a) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 b 1/4) (pow.f64 b 1/4)) (*.f64 (pow.f64 a 1/4) (pow.f64 a 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 b a) 1/4) (pow.f64 (*.f64 b a) 1/8)) (pow.f64 (*.f64 b a) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 b a) 2))) (sqrt.f64 (cbrt.f64 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 b a) 2)) 1/2) (pow.f64 (cbrt.f64 (*.f64 b a)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 b 1/4) 2) (pow.f64 (pow.f64 a 1/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 b a) 1/4) (cbrt.f64 (sqrt.f64 (*.f64 b a)))) (cbrt.f64 (pow.f64 (*.f64 b a) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 b a) 1/4) (pow.f64 b 1/4)) (pow.f64 a 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 b a) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 b a))))))))

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

simplify100.0ms (2%)

Algorithm

1×	egg-herbie

Rules

386×	`fma-neg_binary64`
308×	`associate--r+_binary64`
298×	`fma-def_binary64`
290×	`distribute-rgt-in_binary64`
285×	`exp-sum_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	696
1	131	696
2	331	552
3	947	312
4	3529	312

Stop Event

1×	node limit

Counts

106 → 69

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 b) (log.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a)))
(*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4))
(pow.f64 (*.f64 b a) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 b) (log.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a)))
(*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4))
(pow.f64 (*.f64 b a) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 b) (log.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a)))
(*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4))
(pow.f64 (*.f64 b a) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 b) (log.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a)))
(*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4))
(pow.f64 (*.f64 b a) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a)))
(*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4))
(pow.f64 (*.f64 b a) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a)))
(*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4))
(pow.f64 (*.f64 b a) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a)))
(*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4))
(pow.f64 (*.f64 b a) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a)))
(*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4))
(pow.f64 (*.f64 b a) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (*.f64 -1 a)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a)))
(*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4))
(pow.f64 (*.f64 b a) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (*.f64 -1 a)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a)))
(*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4))
(pow.f64 (*.f64 b a) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (*.f64 -1 a)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a)))
(*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4))
(pow.f64 (*.f64 b a) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (*.f64 -1 a)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a)))
(*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4))
(pow.f64 (*.f64 b a) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 b) (log.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a)))
(*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4))
(pow.f64 (*.f64 b a) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 b) (log.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a)))
(*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4))
(pow.f64 (*.f64 b a) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 b) (log.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a)))
(*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4))
(pow.f64 (*.f64 b a) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 b) (log.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a)))
(*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4))
(pow.f64 (*.f64 b a) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a)))
(*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4))
(pow.f64 (*.f64 b a) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a)))
(*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4))
(pow.f64 (*.f64 b a) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a)))
(*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4))
(pow.f64 (*.f64 b a) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a)))
(*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4))
(pow.f64 (*.f64 b a) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 a))) (log.f64 (*.f64 -1 b)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a)))
(*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4))
(pow.f64 (*.f64 b a) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 a))) (log.f64 (*.f64 -1 b)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a)))
(*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4))
(pow.f64 (*.f64 b a) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 a))) (log.f64 (*.f64 -1 b)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a)))
(*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4))
(pow.f64 (*.f64 b a) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 a))) (log.f64 (*.f64 -1 b)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a)))
(*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4))
(pow.f64 (*.f64 b a) 1/4)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 b) (log.f64 a)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a))) 2)
(pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 b) (log.f64 a))))
(pow.f64 (*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4)) 2)
(sqrt.f64 (*.f64 b a))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 b) (log.f64 a)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a))) 2)
(pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 b) (log.f64 a))))
(pow.f64 (*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4)) 2)
(sqrt.f64 (*.f64 b a))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 b) (log.f64 a)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a))) 2)
(pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 b) (log.f64 a))))
(pow.f64 (*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4)) 2)
(sqrt.f64 (*.f64 b a))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 b) (log.f64 a)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a))) 2)
(pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 b) (log.f64 a))))
(pow.f64 (*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4)) 2)
(sqrt.f64 (*.f64 b a))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a))) 2)
(pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 b) (log.f64 a))))
(pow.f64 (*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4)) 2)
(sqrt.f64 (*.f64 b a))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a))) 2)
(pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 b) (log.f64 a))))
(pow.f64 (*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4)) 2)
(sqrt.f64 (*.f64 b a))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a))) 2)
(pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 b) (log.f64 a))))
(pow.f64 (*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4)) 2)
(sqrt.f64 (*.f64 b a))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a))) 2)
(pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 b) (log.f64 a))))
(pow.f64 (*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4)) 2)
(sqrt.f64 (*.f64 b a))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (*.f64 -1 a))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a))) 2)
(pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 b) (log.f64 a))))
(pow.f64 (*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4)) 2)
(sqrt.f64 (*.f64 b a))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (*.f64 -1 a))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a))) 2)
(pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 b) (log.f64 a))))
(pow.f64 (*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4)) 2)
(sqrt.f64 (*.f64 b a))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (*.f64 -1 a))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a))) 2)
(pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 b) (log.f64 a))))
(pow.f64 (*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4)) 2)
(sqrt.f64 (*.f64 b a))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (*.f64 -1 a))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a))) 2)
(pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 b) (log.f64 a))))
(pow.f64 (*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4)) 2)
(sqrt.f64 (*.f64 b a))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 b) (log.f64 a)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a))) 2)
(pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 b) (log.f64 a))))
(pow.f64 (*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4)) 2)
(sqrt.f64 (*.f64 b a))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 b) (log.f64 a)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a))) 2)
(pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 b) (log.f64 a))))
(pow.f64 (*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4)) 2)
(sqrt.f64 (*.f64 b a))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 b) (log.f64 a)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a))) 2)
(pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 b) (log.f64 a))))
(pow.f64 (*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4)) 2)
(sqrt.f64 (*.f64 b a))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 b) (log.f64 a)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a))) 2)
(pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 b) (log.f64 a))))
(pow.f64 (*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4)) 2)
(sqrt.f64 (*.f64 b a))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a))) 2)
(pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 b) (log.f64 a))))
(pow.f64 (*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4)) 2)
(sqrt.f64 (*.f64 b a))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a))) 2)
(pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 b) (log.f64 a))))
(pow.f64 (*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4)) 2)
(sqrt.f64 (*.f64 b a))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a))) 2)
(pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 b) (log.f64 a))))
(pow.f64 (*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4)) 2)
(sqrt.f64 (*.f64 b a))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a))) 2)
(pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 b) (log.f64 a))))
(pow.f64 (*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4)) 2)
(sqrt.f64 (*.f64 b a))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 a))) (log.f64 (*.f64 -1 b))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a))) 2)
(pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 b) (log.f64 a))))
(pow.f64 (*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4)) 2)
(sqrt.f64 (*.f64 b a))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 a))) (log.f64 (*.f64 -1 b))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a))) 2)
(pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 b) (log.f64 a))))
(pow.f64 (*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4)) 2)
(sqrt.f64 (*.f64 b a))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 a))) (log.f64 (*.f64 -1 b))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a))) 2)
(pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 b) (log.f64 a))))
(pow.f64 (*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4)) 2)
(sqrt.f64 (*.f64 b a))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 a))) (log.f64 (*.f64 -1 b))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 b) (log.f64 a))) 2)
(pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 b) (log.f64 a))))
(pow.f64 (*.f64 (pow.f64 a 1/4) (pow.f64 b 1/4)) 2)
(sqrt.f64 (*.f64 b a))

eval109.0ms (2.2%)

Compiler: Compiled 5775 to 2558 computations (55.7% saved)

prune54.0ms (1.1%)

Pruning

14 alts after pruning (2 fresh and 12 done)

	Pruned	Kept	Total
New	366	2	368
Fresh	0	0	0
Picked	1	0	1
Done	0	12	12
Total	367	14	381

Error

Counts

381 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	25.0b	(neg.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (*.f64 a a) b) 3)) b))
✓	6.0b	(neg.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 a) (cbrt.f64 (*.f64 a b))) 3) b))
	23.6b	(neg.f64 (.f64 (.f64 a (pow.f64 b 3/2)) (*.f64 (sqrt.f64 b) a)))
✓	20.1b	(neg.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 2) b))
	29.0b	(neg.f64 (.f64 (pow.f64 (.f64 b a) 3/2) (pow.f64 (pow.f64 (*.f64 b a) 1/4) 2)))
✓	16.4b	(neg.f64 (.f64 (.f64 (cbrt.f64 (.f64 a a)) (.f64 (cbrt.f64 a) (*.f64 a b))) b))
✓	15.5b	(.f64 a (.f64 (*.f64 b b) (neg.f64 a)))
✓	5.3b	(neg.f64 (.f64 (.f64 a (*.f64 a b)) b))
✓	16.6b	(neg.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (*.f64 a a) b)) 3) b))
✓	16.0b	(neg.f64 (.f64 (.f64 (.f64 b a) (sqrt.f64 b)) (.f64 (sqrt.f64 b) a)))
✓	16.3b	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
✓	0.3b	(neg.f64 (.f64 (.f64 b a) (*.f64 b a)))
✓	28.9b	(neg.f64 (.f64 (pow.f64 (.f64 b a) 3/2) (sqrt.f64 (*.f64 b a))))
✓	5.7b	(.f64 a (.f64 b (*.f64 b (neg.f64 a))))

Compiler

Compiled 173 to 111 computations (35.8% saved)

regimes53.0ms (1.1%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

6 calls:

12.0ms	a
10.0ms	b
7.0ms	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
7.0ms	(*.f64 a a)
6.0ms	(*.f64 a a)

Results

Error	Segments	Branch
0.3b	1	`a`
0.3b	1	`b`
0.3b	1	`(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))`
0.3b	1	`(.f64 (.f64 (*.f64 a a) b) b)`
0.3b	1	`(*.f64 a a)`
0.3b	1	`(*.f64 a a)`

Compiler

Compiled 275 to 124 computations (54.9% saved)

regimes20.0ms (0.4%)

Accuracy

Total -21.5b remaining (-7658.9%)

Threshold costs -21.5b (-7658.9%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	a
4.0ms	b
3.0ms	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
3.0ms	(*.f64 a a)
2.0ms	(.f64 (.f64 (*.f64 a a) b) b)

Results

Error	Segments	Branch
0.3b	1	`a`
0.3b	1	`b`
0.3b	1	`(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))`
0.3b	1	`(.f64 (.f64 (*.f64 a a) b) b)`
0.3b	1	`(*.f64 a a)`

Compiler

Compiled 72 to 38 computations (47.2% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
5×	`+-commutative_binary64`
5×	`sub-neg_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	19	21
2	31	21
3	39	21
4	44	21
5	46	21

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 18 to 12 computations (33.3% saved)

soundness27.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

284×	`fma-def_binary64`
30×	`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	125	12
4	192	12
5	260	12
6	323	12
7	372	12
8	517	12
9	601	12

Stop Event

1×

saturated

Compiler

Compiled 70 to 42 computations (40% saved)

end20.0ms (0.4%)

Remove: (sort a b)
Compiler: Compiled 32 to 21 computations (34.4% saved)